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Gas – vapor
Nur Istianah, ST.,MT.,M.Eng
08/03/2018 Nur Istianah-KP1-gas vapor-2016
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
Boyle’s Law
2211 VPVP
P
kV
Charles’s Law
1221 TVTV
kT
V
Gay Lussac’s Law
1221 TPTP
kT
P
Ideal gas Law
nRTPV
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
Example:
The 500 mL of Oxygen was compressed at 760
mmHg until reached the volume of 425 mL. How was
the pressure of oxygen after the compression?
Known parameters:
P1= 760 mmHg
V1= 500 mL
V2= 425 mL
Question: P2=?
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
Task 1:
What should we do to have 300 mL of oxygen at
20ºC if we just have 250 of oxygen ? (assumption:
constant pressure and constant mass)
Known parameters:
V1 = 300 mL
T1 = 20+273 = 293K
V2 = 250 mL
Equation used: V1/T1 = V2/T2
Question: T2?
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
Thus, we should to raise up the oxygen until 29°C
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
Task 2:
The amount of 50 L nitrogen was in a hard container at
101 kPa, 25ºC. How would the pressure of cotainer if it
was heated until 150ºC?
Known parameters:
P1= 101 kPa
T1= 25+273 = 298 K
T2= 150+273 = 423 K
Question: P2?
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Statement of gas behavior
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Exercise 1
There was 50 dm3 of oxygen at 27º C
and 35 atm. How much ? R=0.082
L.atm/mol.K
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Exercise 2
The 5 mol of gas was placed in a
chamber with volume 40 L. It was in
20ºC memiliki tekanan 3 atm. Berapa
tekanan 20 mol gas tersebut jika
berada dalam tangki yang volumenya
100 lt dan suhu 87ºC?
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Vapor-liquid equilibrium (VLE)
1. Phase rule and Raoult’s law
Av
AA
BA
BA
Pxp
yy
xx
1
1
x = fraksi liquid
y = fraksi vapor
pA = partial pressure A (atm)
PvA = vapor pressure pure A (atm)
P
xP
P
py
PxPxP
PxPxP
Ppp
AAv
AA
ABv
AAv
BBv
AAv
BA
)1(.
..
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Vapor-liquid equilibrium (VLE)
2. Boiling-point diagram and xy plots
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Vapor-liquid equilibrium (VLE)
Example
Calculate the vapor dan liquid compposition of
benzene(A) – toluene(B) that was in
equilibrium state at 95°C, 1atm(101.32 kPa).
Vapor pressure of benzene and toluene are
155.7 kPa dan 63.3 kPa.
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Vapor-liquid equilibrium (VLE)
Penyelesaian
PxPxP ABv
AAv )1(.
155.7 (xA) + 63.3 - 63.3(xA) = 101.32
xA = 0.411 xB = 0.589
368.0
632.0
B
AAv
A
y
P
xPy
08/03/2018 Nur Istianah-KP1-gas vapor-2016
How was the total pressure of the mix of water-
benzene for every temperature below if the
liquid fraction of benzene is 0.4?
Exercise
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Vapor-liquid equilibrium (VLE)
Solution:
Water (A), benzene (B):
xB = 0.4, xA = 1-0.4=0.6
Contoh pada suhu 35.3C:
PxPxP BB
v
AAv ..
kPaP
P
8.85
)4.0(150)6.0(43
Latihan soal
08/03/2018 Nur Istianah-KP1-gas vapor-2016
The data of hexane-octane vapor pressure was given as
below:
(a) Menggunakan Hukum Raoult, hitung komposisi liqud-
vapor dari hexane(A) dan octane(B) pada tekanan
total 101.3 kPa
08/03/2018 Nur Istianah-KP1-gas vapor-2016
Vapor-liquid equilibrium (VLE)
For example at 68.7°C, (total pressure= 101.3 kPa)
PxPxP AB
v
AAv )1(.
0,13.101
)3.101(1
0,1
)1.163.101())(1.163.101(
3.101)1(1.16)(3.101
B
Av
AA
BA
A
AA
yP
Pxy
xx
x
xx
THANKS FOR YOUR
ATTENTION
The best person is one give something useful always
08/03/2018 Nur Istianah-KP1-gas vapor-2016