correction du sujet de 2ème a.bac session de rattrapage ... · no zn no ni cv mol l l mol : 7 ˛...
TRANSCRIPT
![Page 1: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/1.jpg)
![Page 2: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/2.jpg)
![Page 3: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/3.jpg)
![Page 4: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/4.jpg)
![Page 5: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/5.jpg)
![Page 6: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/6.jpg)
![Page 7: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/7.jpg)
راآ 2011ع اء ا ان ا ا+ *و: ل %' ا&%م ا# اورة ا *,
![Page 8: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/8.jpg)
:ا.ء ا-ول ع ا+ء
1- 1-1 - 0,2ول 1م ا : 0,د ا&
1م ا آت ادة ل ا#VC 5ة 0 0 0 ا ا* a
ال x x x 5ة xVCa −
# xf ا ا67fx fx 5ة
fa xVC −
******************************************************************************************* *
,0 ا ه - 1- 2&0 5ة 95ن ا أن اء :HCOOH ⇐ 0max. =− xVCa ;7و : VCx a .max =.
1م ff: و? <=ل 2ول ا xOHn =+ )( ; pH -ن ا1ار @ 36A B0 إDو @ 0,ل ,%B أن ا .
]: إذن ] pHf
f V
xOH −+ == 103 ⇐ Vx pH
f : و7; =−10.a
pH
a
pHf
CVC
V
x
x −−
=== 10
.
.10
max
τ إذن : a
pH
C
−
= 10τ
%6,12126,0101010
1010 9,09,222
9,2
=≈==== −−−
−−
a
pH
Cτ ⇐ %6,12=τ
*******************************************************************************************
0 ,7 اازن <رج- 1-3,: ا[ ] [ ]
[ ]f
ff
éqrHCOO
OHHCOOQ −
+−
= 3
,
.; أي pH -ن ا1ار @ 6A B0 إDو @ 0,ل ,%B أن ا
اازنéqf xx =.
7 :VC
x
x
x
a
ff
.max
==τ ⇐ VCx af ..τ=
1م ]: و? <=ل 2ول ا ] [ ] aaf
ff CV
VC
V
xOHHCOO .
..3 ττ
==== +−
]: و ] )1(....
ττ−=
−=
−= a
aafaf C
V
VCVC
V
xVCHCOOH
: و7; [ ] [ ]
[ ] ττ
ττ
−=
−== −
+−
1
.
)1(
).(. 223
,a
a
a
f
ff
éqr
C
C
C
HCOO
OHHCOOQ ⇐
ττ
−=
1
.2
,a
éqr
CQ
*******************************************************************************************
اJ %دو2 - 1-4K أن %&A −HCOOHCOOCH/ : [ ] [ ]
[ ] ττ
−== −
+−
1
.. 23 a
f
ff
A
C
HCOO
OHHCOOk
⇐ 74,3)126,01
10126,0()
1
.(
222
=−
×−=−
−=−=−
ogC
ogogkpk aAA lll
ττ
⇐ 74,3=Apk
***************************************************************************************** ← 1ر@ 2-1 - -2 . ا
س ال← 2 ر@@ N.:pH. O← 3 ر@ P7Q ك. Sa'Aا%ل ← 4- ر@ Sا T . ا&
****************************************************************************************** 2-2 -
0,د ا& 1ما ا آت ادة ل
# bbVC 0 0 0 ا ا*aaVC
ال x x x xVC bb − xVC aa −
# xf ا ا67fx fx fbb xVC − faa xVC −
7 :maxx
x f=τ
7molVCx: ه ا HCOOHإذا ا5 aa4
max 10.2. 7 أن ==−molVCx: ه ا HO− وإذا ا5 bb4
max 10. −== 44 10.210 −− 0max ⇐ ه ا HO−إذن > =− xVC bb ;7و :bbVCx =max
7ء % OA-اء ا] : ? <=ل ,=@ ا. ][ ] 143 10. −−+ =HOOH U :[ ] pHOH −+ = 10.3 ⇐ [ ] 14
14
1010
10. −
−
−− == pH
pHHO(1 )
![Page 9: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/9.jpg)
1مfbbf : و? <=ل 2ول ا xVCHOn −=− )( ⇐ [ ]ba
fbbf VV
xVCHO
+−
=− (2)
)2)=(1( ⇐ 1410 −=+−
pH
ba
fbb
VV
xVC ⇐ ).(10 14
bapH
fbb VVxVC +=− : و7; −
).(10 14ba
pHbbf VVVCx +−= − O: و
bb
bapH
bb
VC
VVVC ).(10 14 +−=
−
τ
1: ع .ت10
10.65,110
101010
)1030.(101010104
124
32
31474,332
=−=××
×−××= −
−−
−−
−−−−
τ O%ل آ . إذن اروس ا
*********************************************************************************************
3-2 - V5+bEbaa: ? <=ل ,=@ ا VCVC = 7 :mL20=L310.20 −= Lmol
LLmol
V
VC
b
aa
/10
10.20./10.2
32
−
−−
== bEV
********************************************************************************************* ة @ - 2-4,#2 O5 اء 1 ?W T ة&%X ا- & 7, ;Aأ %&A ن+pHY%Zا V5+7,7 ا>EpH . %نا [\إذن ا+
?: ا7_ 6^[ ا&ة ه .ا7ل 5*******************************************************************************************
OASا.ء ا :
1- 0,رج ا> :[ ][ ] 1
10
102
2
2
2
, === −
−
+
+
i
iir
Ni
ZnQ ازن اK1810: و=K.
KQ ir <, O5 اB7 ا*\ إذن ا., # .`ر 1%
********************************************************************************************* 2-\ O5 اB7 ا*# أن ا., `ر 1% .O% ل ا&د +_ آQ,0 ا0D <=ل ا\د ا&:
NiZnNiZn +→+ ++ 22 ة ا Aد و 7; ,0 ا-آ :−+ +→ eZnZn _ %&دZn ا+ود ⇐ 22 . 0S ا1`_ ا
NieNi: و7; ,0 ا <ال ا+دي →+ −+ 0S ا1`_ ا2_ %&دNi ا+ود ⇐ 22
*****************************************************************************************
3- 7 :molLLmolVCNinZnn oo3222 10.5,115,0./10.)()( −−++ ====
ل ا&د ، و7; Qا \ UJ ؤهت ا7+0 وا<Aآ ا c@7ل ا&د QCVZnnNinx <=ل ا\ oo === ++ )()( 22max
xZnn:? <=ل ا.ول J أن =+ )( 2 .+=ا7 )( 2Nin%, ا
+−: و? <=ل A] ا&د +→ eZnZn 22 ⇐ 2
)()( 2
−+ = en
Znnd ا7
x:: إذن en
Znn ==−
+
2
)()( 2 .+=ا7 )( 2Nin%, ا
O%0 آ,)()(: و أن ا 22max
++ === ZnnNinxx oo ⇐ 2
)()( 2
−+ = en
Znno أي :[ ]V
enZn o .2
)(2−
+ = UF
tIen max.
)(∆
=−
]: أي ]VF
tIZn o ..2
. max2 ∆=+ ⇐
[ ]smns
A
LmolLmolC
I
ZnVFt o 15482895
1,0
.1015,0.10.65,92..2 12.142
max ==×==∆−−−+
******************************************************************************************** :ا2ت
ر? -1\eا ? O7ا >Wmsms: ا 5,12,05,7 =×=τ ********************************************************************************************
ر ا2ت اق O5 D ا6اء -2gAا , :sms
mdVair /3,333
10.5,1
5,03
=== −τ
********************************************************************************************
![Page 10: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/10.jpg)
1-3 - `1A 0آ Mر +رgA ا Yو ? U*7آ ا NA S 0`&v
SM=τ.
` اtyB U*7)(&* ا ` ا S : )()( τ−= tyty SB
*********************************************************************************************
2- t
Lv
∆= 2
⇐ mssmtv
L 7802
)12,2.(/1300
2
. =−=∆=
********************************************************************************************* : ا+6ء
1- 1
*******************************************************************************************************************************************
1-2 - 7Aن .U اات @ X*` :
0=+ CR uu ⇐ 0. =+ CuiR ⇐ 0. =+ Cudt
dqR ) U :CuCq : أي =.
dt
duC
dt
dq C.=(
⇐0.. =+ CC u
dt
duCR 611 ا O% ا . ? `O ا+Cu [S وهO ا&د ا
********************************************************************************************
1-3 -RC
t
oC eUu−
= . ⇐ RC
toC e
RC
U
dt
du −−= . %&O5 T ا&د ا :
0...... =+−=+−−−−−
RC
t
oRC
t
oRC
t
oRC
to eUeUeUe
RC
UCR ⇐ RC
t
oC eUu−
= . %دل ا&% 0 .
******************************************************************************************** 1-4 - 7 :
iRU R .= ⇐ i
UR R= ;7و :[ ] [ ]
[ ]I
UR =
==
CUCq
tIq
.
. ⇐ tIUC C .. = ⇐
CU
tIC
]: و7; =. ] [ ][ ][ ]U
tIC
.=
[ ][ ] [ ][ ]
[ ][ ][ ] [ ]tU
tI
I
UCR =×= .
زCR. O7 إذن ا.اء.& ;.
*******************************************************************************************
5-1 - A* :ms4,2=τ 7FF: وs
RC µτ
1210.12200
10.4,2 63
==Ω
== −−
⇐ FC µ12=
******************************************************************************************** 2-
1-2 - - 7Aن .U اات @ X*` :0=++ CRL uuu ⇐ 0.. =++ CuiRdt
diL ) U :
dt
duC
dt
dqi C.==و :
2
2
.dt
udC
dt
di C= ( ⇐ 0...2
2
=++ CCC u
dt
duCR
dt
udLC ⇐ 0
1.
2
2
=++ CCC u
LCdt
du
L
R
dt
ud
******************************************************************************************** 2-2 - A* :msT 4,3=
*********************************************************************************************
2-3 - '.2 LCTT o π== ⇐ '4 22 LCT π= ⇐ HC
TL 59,0
10.5,04
2)10.4,2(
'4 62
3
2
2
≈== −
−
ππ
********************************************************************************************* .ا آjA إاه @ أو دA +ن ا-<ى 7& \إ. ,%O5 U B ا`ر ti)( و tq)( A&% أن - 2-4
B77ل ا=> ? J )0+\ (3 k%ا 7, ;Aأmst 4,3= CuCq: @ -ن q ⇐ @ى Cu ا .= ⇐ i&7 .
![Page 11: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/11.jpg)
`7Qا @O ا`7 ا%k و, &\% mst 4,3= &7 .
k%ه^[ ا JuCE : إذن ا`@ ا+% %ارة ,7 Cem5262
' 10.2,19,6.10.5,0.2
1'.
2
10 −− ≈=+=+= ξξ
******************************************************************************************** . دور 62ز اA ه &T ا`@ ا*دة &ل 2ل O5 اارة- 3-1 -3
*********************************************************************************************
Hz2 ا+6# ذات ادد +* %ت ل ا- 3-2sT
No
o 29410.4,3
113
≈== 6 NA ادد − D 2 Bو? <=ل . إ
Oات وه *+ ره O&ف ,%A Bع ا7 ا1 اA ت2ول دد ا7 :Ré. *********************************************************************************************
'A :ا+1-1-1
ي B%, ?7 ا.Sا71ن ا X*`S1 : ا^ي UJZ %1ى ا
1Pr
: .S1وزن ا.
Tr
: YZا . GamF
rr.1=Σ أي :GamPT
rrr.11 =+
1ط ,%B ار eoz اآ B7 O5 ;2ا : amPT ..11 amgmT: أي −= ..11 += (1)
اوران ,%B ا*+ة `*X ا&=@ ا O5 '7% -: YZا KW UJZ OT'اr
R و%1ة r
6 رKWا Aوز Pr
KW 5e .Μا1ى اآ ذات ا&م
θ&&
r.∆∆ =Σ JFM
&&θ: أي rrr
.' /// ∆∆∆∆ =+++ JRMPMTMM ⇐
θ&&.00'. ∆=++− JrTM ⇐ r
J
r
MT
θ&&.' ∆−= U :
r
a=θ&& ;7و :2
.'
r
aJ
r
MT ∆−= (2)
O65 N7 o ا 2 O51A U`; و % 0@ p YZأن ا TT': و = ⇐ amgmr
aJ
r
M..
.112
+=− ∆ ⇐
gmr
M
r
aJam 121
... −=+ ∆ ⇐ gm
r
M
r
aJam 121
... −=+ ∆ ⇐
2
21
2
21 ......
r
rgmrM
r
aJram −=
+ ∆
21
21 ..)..( rgmrMJrma −=+ ∆ ⇐
∆+−
=Jrm
rgmrMa
21
21
..
..
*********************************************************************************************
1-2 - 7 :2.2,0 tz = ⇐ `Zا , t اdt
dzv .4,0== O`Zرع ا 2/4,0: و ا sm
dt
dva ==
1 : و? <=ل ا&=@ ا∆+
−=
Jrm
rgmrMa
21
21
..
.. ⇐
a
rgmrMJrm
212
1
....
−=+ 2: أي ∆
1
21 ..
..rm
a
rgmrMJ −
−=∆
2.1,0: ع.ت mkg=22
)2,0..(504,0
)2,0.(10502,02,104 −×−×= ∆J
******************************************************************************************** -2 ASا& ا:
![Page 12: Correction du sujet de 2ème a.bac session de rattrapage ... · no Zn no Ni CV mol L L mol : 7 ˛ -3 ( 2+) = ( 2+) =. =10 −2 / .0,15 = 1,5.10 −3 x =no Ni =no Zn =CV ;7ˇو ،](https://reader030.vdocuments.site/reader030/viewer/2022040309/5f1827d9583d9a2dd72adcdb/html5/thumbnails/12.jpg)
2-1 - Uا 7 B77ل ا=> ? :cmxm ص =4Zور اsTo: و ا 6,0=.
7, 7t : mxx=0و += ⇐ κcosmm xx =+ ⇐ 1cos =ϕrار ϕ=0: و7; ا`ر ,7 أ0D ا
********************************************************************************************
2-2 - 7 :m
ko =ωو :
ooT
ωπ2=⇐
k
mTo π2= إذن :
k
mTo
22 4π= ;7و :mN /20≈2
2
6,0
504π=
224
oT
mk π=
*********************************************************************************************
2-3-1 -2-3 - – 2ا`@ اآ %.2..
2
1vmEC =
7 :).cos(. ϕω += txx om U :2
2
m
k
Too == πω
).sin(. ϕωω +−== txxv oom& ⇐
********************************************************************************************
2-3-2 - ,.% +ApppeCm: ا`@ ا+ EEEE ++=
Aا Uا @P: 2
2
1kxEpe =
0g ا^ي O15-ى ا أن اG295ن 1Sا Uا @` U2 :0=ppE
.2 : إذن2
1mxk= [ ]222
2
1.
2
10 xxkxk m −++=mE
7,2 ور G ازن :0=x ⇐ 2U ا2
2 .2
1.
2
1vmxkE mc == ⇐
.
.
2
22
m
xkv m= أي :
sm/42,0=210.4182,0
20 −×=mxm
kv .
.2
×=