Upload
others
View
2
Download
0
Embed Size (px)
Citation preview
Chemical Engineering GATE 2016 Solution
The Gate Coach
Best GATE IES PSU Coaching since 1997
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 1
General Aptitude
Q 1 ndash Q 5 carry one mark each
Q1 The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit
(A) least (B) less (C) lesser (D) low
Ans (B) less
Q2 The unruly crowd demanded that the accused be _____________ without trial
(A) hanged (B) hanging (C) hankering (D) hung
Ans (A) hanged
Q3 Choose the statement(s) where the underlined word is used correctly
(i) A prone is a dried plum
(ii) He was lying prone on the floor
(iii) People who eat a lot of fat are prone to heart disease
(A) (i) and (iii) only (B) (iii) only (C) (i) and (ii) only (D) (ii) and (iii) only
Ans (D) (ii) and (iii) only
Q4 Fact If it rains then the field is wet
Read the following statements
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible based on the given fact
(A) If (iii) then (iv) (B) If (i) then (iii)
(C) If (i) then (ii) (D) If (ii) then (iv)
Ans (C) if (i) then (ii)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 2
Q5 A window is made up of a square portion and an equilateral triangle portion above it The base of
the triangular portion coincides with the upper side of the square If the perimeter of the window
is 6 m the area of the window in m2 is ___________
(A) 143 (B) 206 (C) 268 (D) 288
Ans (B) 206
Solution
2 2
6
5
3 3 6 6 6 6 3 36 362066
4 4 5 5 5 5 4 25 25
side
total area a a
Q 6 ndash Q 10 carry two marks each
Q6 Students taking an exam are divided into two groups P and Q such that each group has the same
number of students The performance of each of the students in a test was evaluated out of 200
marks It was observed that the mean of group P was 105 while that of group Q was 85 The
standard deviation of group P was 25 while that of group Q was 5 Assuming that the marks were
distributed on a normal distribution which of the following statements will have the highest
probability of being TRUE
(A) No student in group Q scored less marks than any student in group P
(B) No student in group P scored less marks than any student in group Q
(C) Most students of group Q scored marks in a narrower range than students in group P
(D) The median of the marks of group P is 100
Ans (C) Most students of group Q scored marks in a narrower range than students in group P
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 3
Q7 A smart city integrates all modes of transport uses clean energy and promotes sustainable use of
resources It also uses technology to ensure safety and security of the city something which critics
argue will lead to a surveillance state
Which of the following can be logically inferred from the above paragraph
(i) All smart cities encourage the formation of surveillance states
(ii) Surveillance is an integral part of a smart city
(iii) Sustainability and surveillance go hand in hand in a smart city
(iv) There is a perception that smart cities promote surveillance
(A) (i) and (iv) only (B) (ii) and (iii) only
(C) (iv) only (D) (i) only
Ans (B) (ii) and (iii) only
Q8 Find the missing sequence in the letter series
B FH LNP _ _ _ _
(A) SUWY (B) TUVW (C) TVXZ (D) TWXZ
Ans (C) TVXZ
Q9 The binary operation is defined as a b = ab+(a+b) where a and b are any two real numbers
The value of the identity element of this operation defined as the number x such that a x = a
for any a is
(A) 0 (B) 1 (C) 2 (D) 10
Ans (A) 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 4
Q10 Which of the following curves represents the function
Here x represents the abscissa and represents the ordinate
(A)
(B)
(C)
(D) Ans (C)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 5
Chemical Engineering
Q 1 ndash Q 25 carry one mark each
Ans (C) Gauss - Seidel
Ans (A)
Solution
sinatL e bt
= 2 2( )
b
s a b
[By first shifting property]
Ans (D)
Solution
2 2 5r z a b and 1 1 4tan tan
3
b
a
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 1
General Aptitude
Q 1 ndash Q 5 carry one mark each
Q1 The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit
(A) least (B) less (C) lesser (D) low
Ans (B) less
Q2 The unruly crowd demanded that the accused be _____________ without trial
(A) hanged (B) hanging (C) hankering (D) hung
Ans (A) hanged
Q3 Choose the statement(s) where the underlined word is used correctly
(i) A prone is a dried plum
(ii) He was lying prone on the floor
(iii) People who eat a lot of fat are prone to heart disease
(A) (i) and (iii) only (B) (iii) only (C) (i) and (ii) only (D) (ii) and (iii) only
Ans (D) (ii) and (iii) only
Q4 Fact If it rains then the field is wet
Read the following statements
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible based on the given fact
(A) If (iii) then (iv) (B) If (i) then (iii)
(C) If (i) then (ii) (D) If (ii) then (iv)
Ans (C) if (i) then (ii)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 2
Q5 A window is made up of a square portion and an equilateral triangle portion above it The base of
the triangular portion coincides with the upper side of the square If the perimeter of the window
is 6 m the area of the window in m2 is ___________
(A) 143 (B) 206 (C) 268 (D) 288
Ans (B) 206
Solution
2 2
6
5
3 3 6 6 6 6 3 36 362066
4 4 5 5 5 5 4 25 25
side
total area a a
Q 6 ndash Q 10 carry two marks each
Q6 Students taking an exam are divided into two groups P and Q such that each group has the same
number of students The performance of each of the students in a test was evaluated out of 200
marks It was observed that the mean of group P was 105 while that of group Q was 85 The
standard deviation of group P was 25 while that of group Q was 5 Assuming that the marks were
distributed on a normal distribution which of the following statements will have the highest
probability of being TRUE
(A) No student in group Q scored less marks than any student in group P
(B) No student in group P scored less marks than any student in group Q
(C) Most students of group Q scored marks in a narrower range than students in group P
(D) The median of the marks of group P is 100
Ans (C) Most students of group Q scored marks in a narrower range than students in group P
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 3
Q7 A smart city integrates all modes of transport uses clean energy and promotes sustainable use of
resources It also uses technology to ensure safety and security of the city something which critics
argue will lead to a surveillance state
Which of the following can be logically inferred from the above paragraph
(i) All smart cities encourage the formation of surveillance states
(ii) Surveillance is an integral part of a smart city
(iii) Sustainability and surveillance go hand in hand in a smart city
(iv) There is a perception that smart cities promote surveillance
(A) (i) and (iv) only (B) (ii) and (iii) only
(C) (iv) only (D) (i) only
Ans (B) (ii) and (iii) only
Q8 Find the missing sequence in the letter series
B FH LNP _ _ _ _
(A) SUWY (B) TUVW (C) TVXZ (D) TWXZ
Ans (C) TVXZ
Q9 The binary operation is defined as a b = ab+(a+b) where a and b are any two real numbers
The value of the identity element of this operation defined as the number x such that a x = a
for any a is
(A) 0 (B) 1 (C) 2 (D) 10
Ans (A) 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 4
Q10 Which of the following curves represents the function
Here x represents the abscissa and represents the ordinate
(A)
(B)
(C)
(D) Ans (C)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 5
Chemical Engineering
Q 1 ndash Q 25 carry one mark each
Ans (C) Gauss - Seidel
Ans (A)
Solution
sinatL e bt
= 2 2( )
b
s a b
[By first shifting property]
Ans (D)
Solution
2 2 5r z a b and 1 1 4tan tan
3
b
a
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 2
Q5 A window is made up of a square portion and an equilateral triangle portion above it The base of
the triangular portion coincides with the upper side of the square If the perimeter of the window
is 6 m the area of the window in m2 is ___________
(A) 143 (B) 206 (C) 268 (D) 288
Ans (B) 206
Solution
2 2
6
5
3 3 6 6 6 6 3 36 362066
4 4 5 5 5 5 4 25 25
side
total area a a
Q 6 ndash Q 10 carry two marks each
Q6 Students taking an exam are divided into two groups P and Q such that each group has the same
number of students The performance of each of the students in a test was evaluated out of 200
marks It was observed that the mean of group P was 105 while that of group Q was 85 The
standard deviation of group P was 25 while that of group Q was 5 Assuming that the marks were
distributed on a normal distribution which of the following statements will have the highest
probability of being TRUE
(A) No student in group Q scored less marks than any student in group P
(B) No student in group P scored less marks than any student in group Q
(C) Most students of group Q scored marks in a narrower range than students in group P
(D) The median of the marks of group P is 100
Ans (C) Most students of group Q scored marks in a narrower range than students in group P
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 3
Q7 A smart city integrates all modes of transport uses clean energy and promotes sustainable use of
resources It also uses technology to ensure safety and security of the city something which critics
argue will lead to a surveillance state
Which of the following can be logically inferred from the above paragraph
(i) All smart cities encourage the formation of surveillance states
(ii) Surveillance is an integral part of a smart city
(iii) Sustainability and surveillance go hand in hand in a smart city
(iv) There is a perception that smart cities promote surveillance
(A) (i) and (iv) only (B) (ii) and (iii) only
(C) (iv) only (D) (i) only
Ans (B) (ii) and (iii) only
Q8 Find the missing sequence in the letter series
B FH LNP _ _ _ _
(A) SUWY (B) TUVW (C) TVXZ (D) TWXZ
Ans (C) TVXZ
Q9 The binary operation is defined as a b = ab+(a+b) where a and b are any two real numbers
The value of the identity element of this operation defined as the number x such that a x = a
for any a is
(A) 0 (B) 1 (C) 2 (D) 10
Ans (A) 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 4
Q10 Which of the following curves represents the function
Here x represents the abscissa and represents the ordinate
(A)
(B)
(C)
(D) Ans (C)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 5
Chemical Engineering
Q 1 ndash Q 25 carry one mark each
Ans (C) Gauss - Seidel
Ans (A)
Solution
sinatL e bt
= 2 2( )
b
s a b
[By first shifting property]
Ans (D)
Solution
2 2 5r z a b and 1 1 4tan tan
3
b
a
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 3
Q7 A smart city integrates all modes of transport uses clean energy and promotes sustainable use of
resources It also uses technology to ensure safety and security of the city something which critics
argue will lead to a surveillance state
Which of the following can be logically inferred from the above paragraph
(i) All smart cities encourage the formation of surveillance states
(ii) Surveillance is an integral part of a smart city
(iii) Sustainability and surveillance go hand in hand in a smart city
(iv) There is a perception that smart cities promote surveillance
(A) (i) and (iv) only (B) (ii) and (iii) only
(C) (iv) only (D) (i) only
Ans (B) (ii) and (iii) only
Q8 Find the missing sequence in the letter series
B FH LNP _ _ _ _
(A) SUWY (B) TUVW (C) TVXZ (D) TWXZ
Ans (C) TVXZ
Q9 The binary operation is defined as a b = ab+(a+b) where a and b are any two real numbers
The value of the identity element of this operation defined as the number x such that a x = a
for any a is
(A) 0 (B) 1 (C) 2 (D) 10
Ans (A) 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 4
Q10 Which of the following curves represents the function
Here x represents the abscissa and represents the ordinate
(A)
(B)
(C)
(D) Ans (C)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 5
Chemical Engineering
Q 1 ndash Q 25 carry one mark each
Ans (C) Gauss - Seidel
Ans (A)
Solution
sinatL e bt
= 2 2( )
b
s a b
[By first shifting property]
Ans (D)
Solution
2 2 5r z a b and 1 1 4tan tan
3
b
a
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 4
Q10 Which of the following curves represents the function
Here x represents the abscissa and represents the ordinate
(A)
(B)
(C)
(D) Ans (C)
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 5
Chemical Engineering
Q 1 ndash Q 25 carry one mark each
Ans (C) Gauss - Seidel
Ans (A)
Solution
sinatL e bt
= 2 2( )
b
s a b
[By first shifting property]
Ans (D)
Solution
2 2 5r z a b and 1 1 4tan tan
3
b
a
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 5
Chemical Engineering
Q 1 ndash Q 25 carry one mark each
Ans (C) Gauss - Seidel
Ans (A)
Solution
sinatL e bt
= 2 2( )
b
s a b
[By first shifting property]
Ans (D)
Solution
2 2 5r z a b and 1 1 4tan tan
3
b
a
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 6
Ans (B)
Solution
Stream P is splitting into Q amp R hence their composition will be same
Overall mass balance
P = Q + R
Q + R = 100 (1)
Doing component mass balance
Ethanol in P = Ethanol in Q + Ethanol in R
P X 03 = Q X 03 + R X 03
P = Q + R (2)
So it is obvious we cannot use component balance over splitter so least
parameter required is flow rate of any of 2 exit streams
So ie = 1
Ans ndash 58 kJ mol
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 7
Solution
For infinitely dilute solution of component (1)
1 20 amp 1x x
So 2 21 2 60 (1) 100 0 (1)h x x x
1 58h
Ans (C) 348
Solution We know that
211 4
2
f VP
g gd
21 1
1
02
2222
2 2 2022
1 1 1 211
2 022 2
2 021 1
18
22
1
4
2
348
f VP
d
V dm V
P f V
P f V V dm V
P V
P V
VP P Kpa
V
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 8
Q7 In a cyclone separator used for separation of solid particles from a dust laden gas the separation
factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle Sr
denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of
the cyclone Which one of the following statements is INCORRECT
(A) Sr depends on mass of the particle
(B) Sr depends on the acceleration due to gravity
(C) Sr depends on tangential velocity of the particle
(D) Sr depends on the radial location ( r ) of the particle
Ans (A) Sr depends on mass of the particle
Q8 A vertical cylindrical vessel has a layer of kerosene (of density 800 kgm3) over a layer of water (of
density 1000 kgm3) L-shaped glass tubes are connected to the column 30 cm apart The interface
between the two layers lies between the two points at which the L-tubes are connected The levels (in
cm) to which the liquids rise in the respective tubes are shown in the figure below
The distance (x in cm rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _______
Ans 10 cm
Solution
We know that
1 2P P (1)
Kerosene
Water
x
20
30 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 9
Where
1
1
[20 (30 )]
800 981 [20 (30 )] 1000 981
800 981[50 ] 9810
392400 7848 9810
392400 1962
k waterP g x g x
x x
x x
x x
P x
And
P2 = water x g x 42
= 1000 x 981 x 42
= 412 020 Pa
Putting P1 and P2 in equation (1)
412020 = 392400+1962 x
1962 x = 19620
X = 10 cm
Q9 A composite wall is made of four different materials of construction in the fashion shown below
The resistance (in KW) of each of the sections of the wall is indicated in the diagram
3
025
1
07 Direction of heat flow Direction of heat flow
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 10
The overall resistance (in KW rounded off to the first decimal place) of the composite wall in the
direction of heat flow is _______
Ans (A) 39
Solution Overall resistance = 3 + 02 + 07 = 39 KW
Q10 Steam at 100oC is condensing on a vertical steel plate The condensate flow is laminar The average
Nusselt numbers are Nu1 and Nu2 when the plate temperatures are 10oC and 55oC respectively Assume
the physical properties of the fluid and steel to remain constant within the temperature range of interest
Using Nusselt equations for film-type condensation what is the value of the ratio Nu2 Nu1
(A) 05 (B) 084 (C) 119 (D) 141
Ans (C) 119
Solution We know that
1 13 34 4
1
4
( ) ( )0943 0943
( ) ( )
1
( )
l l v fg l l v fg
g w g w
g w
gh k g h LL LNu h
h L T T k k T T
NuT T
1
4
1
1
4
1
1
(100 10)
1
90
Nu
Nu
and
1
4
2
1
4
2
1
(100 55)
1
45
Nu
Nu
2
1
1
490119
45
u
u
N
N
Q11 A binary liquid mixture of benzene and toluene contains 20 mol of benzene At 350 K the vapour
pressures of pure benzene and pure toluene are 92 kPa
and 35 kPa respectively The mixture follows Raoultrsquos
law The equilibrium vapour phase mole fraction
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 11
(rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is
_______
Ans 0396
Solution
From Raoultrsquos law
vi ii
p x p
amp wersquo i i
i
p pyi
p p
Mol fraction of benzene in vapor phase is given by
02 920396
02 92 08 35
VB B B
B V TB B T T
i
x ppy
x P x pp
Q12 Match the dimensionless numbers in Group-1 with the ratios in Group-2
Ans (D) P ndash II Q ndash III R ndash II
Q13 For what value of Lewis number the wet-bulb temperature and adiabatic saturation temperature
are nearly equal
(A) 033 (B) 05 (C) 1 (D) 2
Ans (C) 1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 12
Ans 2
Solution Upper limit of reaction of reaction rate will be at
0
0 0
00
0
10 (10)2
1 5 15
A A
A AA
AA
A
C C
C Cr
CC
C
Q15 The variations of the concentrations (CA CR and CS) for three species (A R and S) with time in an
isothermal homogeneous batch reactor are shown in the figure below
Select the reaction scheme that correctly represents the above plot The numbers in the reaction
schemes shown below represent the first order rate constants in unit of s‒1
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 13
Ans (C)
Q16 Hydrogen iodide decomposes through the reaction 2HI H2 + I2 The value of the universal gas
constant R is 8314 J mol‒1K‒1 The activation energy for the forward reaction is 184000 J mol‒1 The ratio
(rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans 285
Solution
From Arrhenius law
2
1 1 2
1 1Ekln
k R T T
1 2550 amp 600where T K T K
So 2
1
184000 1 1
8314 550 600
kln
k
2 1285Ans k k
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 14
Ans (D) P ndash III Q ndash I R ndash II
Q18 What is the order of response exhibited by a U-tube manometer
(A) Zero order (B) First order
(C) Second order (D) Third order
Ans (C) Second Order
Q19 A system exhibits inverse response for a unit step change in the input Which one of the following
statement must necessarily be satisfied
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans (D) The transfer function of the system has at least one positive zero
Q20 Two design options for a distillation system are being compared based on the total annual cost
Information available is as follows
Option P Option Q
Installed cost of the system (Rs in lakhs) 150 120
Cost of cooling water for condenser (Rs in lakhsyear) 6 8
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 15
Cost of steam for reboiler (Rs in lakhsyear) 16 20
The annual fixed charge amounts to 12 of the installed cost Based on the above information what is
the total annual cost (Rs in lakhs year) of the better option
(A) 40 (B) 424 (C) 92 (D) 128
Ans (A) 40
Q21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are
available in the market For a pipe tube of a given nominal diameter which one of the following
statements is TRUE
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase
in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number nor the BWG number has any relation to wall thickness
Ans (B)
Q22 Terms used in engineering economics have standard definitions and interpretations Which one of
the following statements is INCORRECT
(A) The profitability measure lsquoreturn on investmentrsquo does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a
certain base time
(C) The lsquosix-tenths factor rulersquo is used to estimate the cost of an equipment from the cost of a
similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the
working capital investment
Ans (D)
Q23 India has no elemental sulphur deposits that can be economically exploited In India which one of
the following industries produces elemental sulphur as a by-product
(A) Coal carbonisation plants (B) Petroleum refineries
(C) Paper and pulp industries (D) Iron and steel making plants
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 16
Ans (B)
Q24 Two paper pulp plants P and Q use the same quality of bamboo as a raw material The chemicals
used in their digester are as follows
Plant P Plant Q
NaOH Yes No
Na2S Yes No
Na2CO3 Yes Yes
NaHCO3 No Yes
Na2SO3 No Yes
Which one of the following statements is CORRECT
(A) Plant P and Plant Q both use the Sulfite process
(B) Plant P and Plant Q both use the Kraft process
(C) Plant P uses Sulfite process
(D) Plant P uses Kraft process
Ans (D)
Q25 Match the industrial processes in Group-1 with the catalyst materials in Group-2
Group-1 Group-2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil
IV Aluminium triethyl with titanium chloride
promoter
(A) P-IV Q-III R-II S-I (B) P-I Q-IV R-III S-II
(C) P-I Q-II R-III S-IV (D) P-II Q-III R-IV S-I
Ans (A) P ndash IV Q ndash III R ndash II S ndash I
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 17
26 ndash Q 55 carry two marks each
Ans x3 = 15
Solution
4 x4 + 13 x5 = 46
4 x4 + 5 x5 = 30
2 x3 + 5 x4 + 3x5 = 61
By solving we get x3 = 15
Ans (D)
Solution
D2 + 1 = 0
D = i
Y = C1 cos x + C2 sinx
By using the boundary condition
5cos 10siny x x
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 18
Ans 255
Ans 265
Solution
f (x) = x3 + 5 Interval [1 4]
By applying mean value theorem
1 ( ) ( )( )
f b f af c
b a
X=265
Ans (A) 9467
Solution
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 19
Put h = 1 a = 0 b = 4
y0 = 3 yn = 55 y1 = 10 y2 = 21 y3 = 36
Ans (A) 1802
Solution At steady state energy balance equation can be written as
Energy IN ndash Energy OUT = heat solution + energy removed
Energy removed = heat of solution + energy OUT ndash energy IN
We have
Heat of solution = 2 4
2 4
650 42600
kJ kg H SO kJx
kg H SO h h
Energy out = 28
10 (40 25) 420kJ kJ
kg solution Kkg solution K h
Energy In = 2
2
286 (25 10) 378
kJ kJkg H O K
kg H O K h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 20
So Energy removed
= 2600 + 378 + 420
= 1802 kJ
h
Energy removed = 1802 kJ
h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 21
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 22
Ans 373 K
Solution We know that
15irr revW W
(Change in IE)irr = 15 (change in IE)rev
1
2
1
2771277
2 1 2 1
2 1 2 1
2 1 1 1
2
2
( ) 15 ( )
15 ( )
15 ( )
6300 15 300 1 73
3
373
V V
V
P
P
C T T C T T
T T C T T
T T T T
T
T K
Ans 400
Solution We know that
RTP
v b
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 23
0 1
1 0
1
1 0 1 0
( )
P
T P
P v b RT
RTv b
PRT
b b TP
Rb T b
P
v Rb
T P
h vv T
P T
R Rh T b T b b
P P
0
0
5 6
( )
4 10 (15 5) 10 400
T T
f i f i TT
dh b dP
h h b P P
J mol
Ans - 165
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 24
Ans - (C) 24
Solution
3 3
1
2
sec
120
240
36 001m mhr
P kPa
P kPa
Q
Required head to develop 2 12 1
P Py y
g
= 3(240 120) 10
129810
x
= 12232+12
= 24232 m
Power required = 4Q
= 9810 X 001 X 24232
= 2377 kW
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 25
Ans (C) 252 rpm
Solution
We have
Power No = 3 5
i
P
P N D
For constant power no
3 5
3 5 ( )
i
i
Pconst
PN D
P N D I
Volume of tank = 2
4VD H
( )VD H given
3 ( )VV D II
From equation (I )and (II)
3 5
3i
v
N DP
V D
For same 1 2
2
3 5 3 51 2
3 31
i i
v V
N D N DP
V D D
If all linear dimensions have to be doubled
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 26
2 2
1 1
2i V
i V
D D
D D
1
2
1
2
2
3 32 1
23
2 1 1
23
2
( 4 )
14 252
2
V
V
V
V
DN N
D
DN N N rpm
D
N rpm
Ans 215 mm
Solution -
We know that for Re( 01)N
terminal setting velocity under stokes law regime is given by
2
2
2
( )
18
10 (1180 1000)
18 01
1000
P p f
t
f
p
t
t p
d gv
d x xv
x
v d
In Stokersquos law max value of particle Reynolds number is 01 and it is given by
Re 01p f
p
f
d vN
Putting values
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 27
2 3(1000 ) 10
0101
p pd x d x
3
3 3
8
1 1010
10 1
215
p
p
mmd m x mm
m
d mm
Ans 49 m3 h
Ans 0125 m s
Solution We know that
2 2
fU
3
3 2
1 10 2005
005 10 1000 1
0125 sec
u
y
u
u m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 28
Ans (B) 842
Solution We know that
13
08 13
08
0023 Re Pr
0023 Pr
Nu
G d
mG
A
Since mass flow rate in the tubes is doubled Nu and there by hi gets affected
081
3
08
2023 Pr
2 i
i
GdNu
hNu
Nu h
We know that
0
0
1 1 1 1 i
i i
h hU h h h
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 29
ie iU h
and 082 iU h
0
S i
S P
T T UAnT T mC
0 2S i
S p
T T U AnT T m C
Dividing 08
0
135 20
2135 90
2135 20
135
n
nT
0
0938211487
115
135n
T
0
00
11508167
135
842
nT
T C
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 30
Ans (A) 26
Ans 025
Solution - Given that 1 201 02r m r m
11 120 1F F
We know that A1 F12 = A2 F21 hence 121
2
AF
A
22 21 1
21 22 22 2
014 1025
4 402
r rF
r r
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 31
Ans 1
Solution Minimum reflux ratio is given by
R min = 1
1 1
9 71
7 5DX Y
Y x
Ans (C) 105
Solution
Selectivity is given by
βCA = 119884119888119884119886
119883119888119883119886 =
0301
0207= 105
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 32
Ans (C) 03
Solution -
We know that
According to Langmuir adsorption isotherm
1A A
A
A A
K PQ
K P
Amount of Arsquo adsorbed
Kg of Adsorbentmax
Maximum amount of a can be adsorbed
Adsorbent
A
m
qimum amount of A can be
kg of
1A A
m A
K Pq
q K
for case I at PA = 10 mm Hg q = 01
1001(1)
1 10A
m A
K
q K
For case II PA 100 mm Hg Q = 04
1004(2)
1 100A
m A
KO
q K
On solving we get ampA mK q
So for PA = 50 mn Hg therefore 03 dsorbed
dsorbed
kg Aq
kg of A
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 33
Ans (B) 108
Solution -
1
2
1108
BLM BLM
NA P
NA Y P
Ans 02667 secndash 1
Solution -
For reaction
1 2A A Br k C k C
For MFR 1 2( )
O OA A A A
m
A A B
C X C X
r k C k C
0(1 )
OA A A B A AC C X and C C X So 1 2(1 )
Am
A A
X
k X k X
For case ndash I 1sec 8molm AC
81 02
10AX
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 34
For case ndash II 5sec 5molm AC
5
1 0510
AX
So for case ndash I 1 2
1 2
021 4 1 ( )
(1 02) (02)k k I
k k
For case ndash ii 1 2
1 2
055 02 ( )
(1 05) (05)k k II
k k
On solving equation (I) and (II) 11 02667 seck
Ans 8 m3
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 35
Solution From the equation
T = 350 + 25 XA
At XA = 08
T = 350 + 25 x 08 = 370 K
So from curve at XA = 08 amp T =370 K 3
10
A
molr
m s
For MFR 0
30 100 088
( ) 100
m A
Am
A
V X
FA rA
FA XV m
r
Ans (B)
Solution Thiele modulus is given by
LengthticCharactersratediffusionpore
ratereactionIntrinsic
So for Large value of Thiele modulus reaction rate will be high
Therefore we will prefer Scenario 2 over Scenario 1 as we donrsquot required that total pellet is covered by
catalyst
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 36
Ans 025
Solution
It is obvious there is delay so it can be assumed to be PFR amp CSTR in series so
the delay is equal to P (space time of PFR)
So here delay is 5 min
P = 5 min
And we know that for CSTR
( )mt
m
eE t
At t = 0 E (0) = 1
m
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 37
So at t = 5 1
(0 5) 005 20 minm
m
E
So 5
02520
p
m
Ans 1013 m3 hr
Solution -
For equal percentage value
f = f0 times eBx
at x = 01 f = 2
at x = 02 f = 3
by using boundary conditions f0 amp B can be solved now at x = 05
f = 1013 m3hr
Ans 25
Solution Characterized equation is given by
1 + G open loop P = 0
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 38
2
1 101 1 0
15 25 100cK
s
On solving by using routh Array and putting bL = 0 we get 25cK
Ans (A) 159
Solution We know that
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 39
Overshoot = 2
80exp
100 1
B
A
can be calculate
Now the value of T = 100 seconds
2
2
1dt
td and is known can be calculated
159 sec
Ans (D) 78
Solution Given that
3
3
150
10150 [10 ]
100
1666
volume of liquid m
x x of the vapor space
x m v
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 40
2
2000 4000 (6000)4
106000
100
T
dC dh
dh
V = 2
2
1666
4
4
d hh
d
2
2
2
2
3
3
16666000 (6600)
4
4
( ) 6000 2 4 (1666) (6600)
( ) 4
4 (1666) (6600)3000
4 (1666) (6600)
3000
4663
775
T
T
dC d
d
d C d
d d d
dd
d
d
d m
Ans (D) 6
Solution
I Given process can be written as
C6H12 rarr C6H6 + 6 H2
Cyclo-hexane Benzene Hydrogen
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 41
II proposed process can be written as
C6H12 + 12 H2O rarr 6CO2 + 18H2
Cyclo-hexane Steam Carbon di-oxide Hydrogen
Maximum ratio will be obtained for 100 conversion of cyclohexane
2
2
18
3
H formed in NewprocessSo
H formed in old process = 6
For more details
Visit us at wwwthegatecoachcom
Call us at (+91) ndash 9873452122 9818652587
Mail us at delhitgcgmailcom
Like us at wwwfacebookcomTheGateCoach
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42
Chemical Engineering GATE 2016 Solution
Visit us at wwwthegatecoachcom| New Batches are starting for GATE 2017 from Feb 14th amp March 5th 42