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@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 1
مكتبة العلوم الفيزيائيةمكتبة العلوم الفيزيائيةمكتبة العلوم الفيزيائيةمكتبة العلوم الفيزيائيةhttp://www.bibliophy.sup.fr/
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 2
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 3
:::: pts7
I !)Acide Ibuprofène ( "#.
11( &'C0 ()) S0.
1
0
00
0
.01,01,0206
2,0
.
−≈×
=
==
lmolC
VM
m
V
nC
0,75pt
12 ( *+pH = 3,17 ()) S0
121 ( "# ! ,- .!/ (.1,25pts
RCOOH + H2O ?
RCOO
- + H3O
+
(mol)
0 C0.V0 0 0
x C0.V0 – x x x
x = xf C0.V0 – xf xf xf
x = xmax C0.V0 – xmax xmax xmax
0 ! 1 2 ,'# 3 4 5'6
78+9 :;:Xmax
C0.V0 – xmax =0 ⇒ xmax= C0V0 = 10-2
.10-1
=10-3
mol
.<=6 :;Xf
[ ] molVVOHOHnx pH
f
517,3
0033 10.76,61,0.10.10.)( −−−++ =====
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 4
.<=6 :; '>τ 002
3
5
max
76,610.76,610
10.76,6==== −
−
−
x
x fτ?3 1⟨τ 1 @6# !
A# :
RCOOH + H2O RCOO-
+ H3O+
122 ( ! BCDQr:
[ ] [ ][ ] ( ) 000
2
000
2
0
23
../.
/
VxVC
x
VxVC
Vx
RCOOH
RCOOOHQ
i
ii
r−
=−
==−+
(0,5pts )
123 ( EF6 : +G,1pts :
, #Qr 6:
124 ( +K*C ! >; : 0,75pts
II – # I; JK 7) ' C; /
21( ! A,# 0,75pts
OHRCOOHORCOOH 2+→+ −−
22( 2 2 ; 3 6
molxVCRCOOHn
molVCHOn
A
BBi
3
max00
332
10.)(
10.8,110.60.10.3.)(
−
−−−−
===
===
L>3 2A# K 1 @6#HO- M 2A# K # K3 (0,5pts)
( ) ( )
( ) ( )
( )τ
τ
τ
τ
τ
τ
ττ
−=
−=
−=⇒
=⇒=
−=⇒
−=
1
.
.
.
.
.
...
0
max
2
,
maxmax0
max22
max000
max22
,
max
max
000
2
,
000
2
V
xQ
xxV
x
xVCV
xQ
xxx
x
VxVC
xQ
VxVC
xQ
éqr
éqr
f
f
f
f
éqrr
( ) 5
2
223
,
0
3
max
2
10.9,4)10.76,61(1,0
10.76,610
1,0
10
10.76,6
−
−
−−
−
−
=−
==
=
=
=
KQ
LV
molx
éqr
τ
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 5
23 ( 2,#HO- .;:
321 ( N 6 : 1pts
restHOnVC éqAA )(. ,
−= 2A# KHO- . .;20ml .) ! O)P #
molHOnHOn
molrestHOnVC
restT
éqAA
4
423
,
10.31,8)(.3)(
10.77,210.10.7,27)(.
−−−
−−−−
==
=== "# nT K 2A# HO
- . ; VB=60ml
2A# K Q6'6 L>3 HO- "# ) ! nr(HO
-) = n0(HO
-) – nT
nr (HO-)= 1,8.10
-3 – 8,31.10
-4 = 9,69.10
-4mol
232 ( )K0,5pts
nr(HO-) = n(RCOOH) = mA/M(A)
m(A) = nr.M(A) = 9,69.10-4
.206 =0,199g=0,2g ≈200mg
3 Q6'> JK 7) ' C; /
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 6
1 6 LR _5T (# . L;T2pts
1 ( UV6 ,WX :A8 2>.
11 (0,5pts eMgNa0
1
24
12
24
11 −+→−β
12 ( 3 Y),>2/1
2ln
t=λ @6# :1510.28,1
)3600(15
69,0 −−≈= sλ0,25pts
2 (
21( : . "V :A8 86 2A# K &'.0,5pts
5'6 n0 =C0.V0 = 10-3
.5.10-3
=5.10-6
mol . ,W Z+6 >+ 5':
tteNNenn
λλ −− =⇔= 00. @6# :)3600(310.28,16
01
5
1 10.5×−−
−
−== eenntλ
L. [n1= 4,35.10-6
mol
22 ( \) 6 6, UV>t1= 3h 0,25pts BqnNNa A
13
111 10.35,3... === λλ
23 ( ] ^- # A;! : Y :
C# , @)K ] :A . 7;_ # 1 I_ #3h 0 : n1= 4,35.10-6
mol
Y : )V2 = 2ml 0 n2 = 2,1.10-9
mol .
3 :A8 86 24 Y _6 +G `60 1 @)K ' . '># \6# ! [ #
:A8 86 2A# K24 : & #>V ] 6 : Y
0,5pts
?A, '> 6 : Y 3 ) b :) +! ( 0VN =5L 3 Q6'> : VP = VN – V =5,00 – 4,14 ≈0,86 L = 86mL
LV
Vn
Ln
14,410.1,2
10.210.35,4
10.35,4
10.210.1,2
9
36
6
1
39
2
=×
=⇒
→=
→=
−
−−
−
−−
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 7
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 8
2 : = c dF LR,_ )5pts( I : dF W 11 ( )e! A,: 1pts
EtUdt
tdURC
ERitU
dt
tdUC
dt
dqi
tCUq
EtUtU
C
C
C
C
C
RC
=+⇒
=−+
==
=
=−+
)()(
0)(
)(
)(
0)()(
12 ( A, # I;
13 ( 3 6(RC=τ # , :
[ ][ ] [ ][ ][ ]
[ ][ ]
[ ]tI
U
U
tICR =×=
..
( fXRC ,
@6 , #>F
14 ( #
FFFR
C µτ
10010.1001010.10
1 64
3===== −−
ττ
τ
τ
τ
ττ
τ
τ
=⇔=−
=−+⇒
=
−=
−
−−
−
−
RCeRC
E
EeEeE
RC
eE
dt
tdU
eEtU
t
tt
t
c
t
C
0)1(
)1(.
)(
)1()(
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 9
15 ( <= +T : Y< :\6 . dF ^- # >P 0 ,75pts
JCEEe
3242 210.712.10.2
1
2
1 −− ===
.>F – dF# g!
21(, #UC(t) 6 1pts
22( g! h 3 5 dF) [_3τ @6# i/3 5'
,rC='τ3 #;# i/0,5pts
Ω=−
=
=⇒
=
−
−
−
−
−
−
20
360
45,132ln10
10.2
.36045,132
.360)(
4
3
10.
10.2
.1
4
3
1
r
e
etU
r
Cr
t
C
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 10
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 11
3 j> c6 ;F (# . 5)/ Y'k U;_ _CA Y\6pts
1 ((9 : U;' _CA 11( .>F > >+ :
_C : l68
;T m; Ak : (01
= n T m;
@6# O; @> l68 "hP :
ag
amPamFi
=⇒
=⇔=∑ . ;' +G, U;_1
Y), ( )jiO
,, 6 )b o,> ?M :
LT, #:
00 ⟨xV ?3 1
0 50 −− msV x mxx A 4500 == @6# :45050)( +−= ttx.
00 =yV 210 −== msga y 00 =y @6# :25)( tty =
12( pC9 ]T' :TCR \
\) 6 ts 8 pC9 7X l68 ys = H= 405m 6# A, # @6# y(t)
sHy
ttty sssss 9
555)(
2===⇒=
13( C' A,#:
6# A, # # .8;>
00
2
00
2
1)(
)(0
ytVtatyga
xtVtxCVa
yyy
x
ste
xx
++=⇔=
+=⇔=⇔=
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 12
( )
4058,110.2
10.29550
45055
50
45045050)(
23
22
2
2
+−=⇒
−=
−=⇒=
−−=⇒+−=
−
−
xxy
xx
yty
xtttx
2 ( qF : ` U;' _CA:
21 ()e! A,
6 .>F >;:
∑ =+=dt
VdmfPF
7) U;_( )i
,0 :
Vdt
dV
VVgdt
dV
dt
dVmmgV
3
210
150
10010
150
100.
150
150
100
−=
−=−=
=+−
22 ( U;') # ':
23( .< :\6 2 ; ;
24( 3 ;- A . (:
@ójnÙàóï÷bîïÑÜa@ãíÝÉÜa @fr.sup.bibliophy.www
ELGHZIZAL’S DOCUMENTS SCRIBD 13
+ A6V4 a 4
)e! A, #Vdt
dV
3
210 −=
6 :443
210
4
Vdt
dVa
t
−=
= 334 . VtaV +∆= "#τ⟨⟨=∆ 1,0t
&'1
4 612,380,21,012,8 −=+×= msV
&'a4
2
44 59,7612,33
210
3
210 −=×−=−= msVa
(i ' : f_3 5TP >F <! :), * 6-
KC'!_ 3 \G# , 3 I) ; oM0 ( : .>R (8R k :
com.hotmail@elghzizal_h
"+) [k 3 :fr.sup.123phy.www