1. The document discusses several chemical equations and calculations involving oxidation-reduction reactions, stoichiometry, and electrochemistry. 2. Equations are provided to calculate quantities like moles of reactants and products, oxidation states, cell potentials, and current over time for circuits involving redox reactions. 3. Diagrams and calculations are shown for determining values like the potential and current in a galvanic cell, as well as the motion of charged particles in electric and magnetic fields.

1. ‫ا‬ ‫ن‬ ‫ا‬ ‫ا‬
‫ا‬ ‫ن‬ ‫ا‬–‫د‬ ‫ا‬ ‫ورة‬ ‫ا‬2011–‫ء‬ ‫ا‬–‫ا‬ ‫م‬ ‫ا‬–‫ا‬ ‫م‬ ‫ا‬.
‫ء‬ ‫ا‬:
1-‫ول‬ ‫ا‬ ‫ء‬ ‫ا‬:i
******************************************************************************************************************
2-molLLmol 03,010.75/4,0 3
=×= −
[ ] ai VOHOHn .)( 33
++
=
mol
molg
g 3
10.17,9
/4,65
6,0 −
==
)(
)(
ZnM
m
Znni =
******************************************************************************************************************
3-‫ن‬ ‫آ‬ ‫إذا‬+
OH3‫ا‬ ‫ه‬:02)( max13 =−+
xOHni⇐molx 3
max1 10.15 −
=
‫ن‬ ‫آ‬ ‫إذا‬Zn‫ا‬ ‫ه‬:0)( max2 =− xZnni⇐molx 3
max2 10.17,9 −
=
max1max2 xx <‫ه‬ ‫ا‬ ‫ا‬‫أ‬ ‫م‬ ‫ا‬ ‫ا‬ ‫ي‬ ‫ا‬⇐Zn‫ا‬ ‫ه‬.
*********************************************************************************************************************
4-‫أي‬ ‫ل‬ ‫ا‬‫ا‬ ‫دا‬ ‫ا‬ ، ‫ا‬ ‫ا‬:oPP =‫ت‬ ‫ا‬ ‫ل‬.
‫ز‬ ‫آ‬ ‫ن‬ ‫ل‬ ‫ا‬ ‫ل‬H2‫ا‬ ‫دا‬ ‫ا‬:)( 2Ho PPP +=
‫و‬‫ز‬ ‫ن‬2H‫ا‬ ‫دا‬:atmoH PPP −=)( 2
‫أي‬:PPH ∆=)( 2
‫زات‬ ‫ا‬ ‫ل‬ ‫و‬‫ا‬:TRnVP HH ... )()( 22
=‫ول‬ ‫ل‬‫م‬ ‫ا‬:xn H =)( 2
⇐TRxVP ... =∆
‫و‬:
V
TRx
P
..
. =∆(1)‫ن‬:VV H =)( 2
********************************************************************************************************************
5-‫و‬:
V
TRx
P
..max
max =∆(2)
)2(
)1(
⇐
maxmax x
x
P
P
=
∆
∆
⇐max
max
.x
P
P
x
∆
∆
=)3(
******************************************************************************************************************
6-‫م‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫ز‬‫إ‬‫ا‬.
‫أي‬2/1tt =،
2
max
)( 2/1
x
x t =)( 2/1tP∆‫ل‬ ‫ا‬ ‫ا‬ ‫ا‬:2/1t‫ا‬(3)
max
max
)(
2/1 .)( 2/1
x
P
P
tx
t
∆
∆
=⇐max
max
)(max
.
2
2/1
x
P
Px t
∆
∆
=⇐
max
)( 2/1
2
1
P
Pt
∆
∆
=⇐
2
)( max
2/1
P
tP
∆
=∆
:
‫ن‬ ‫ا‬:hPaP 740max =∆‫و‬:hPa
P
370
2
max
=
∆
⇐mnt 402/1 ≈.
******************************************************************************************************************
‫ا‬ ‫ء‬ ‫ا‬:‫ا‬ ‫ا‬:
1-
‫د‬ ‫ا‬ ‫ة‬ ‫آ‬ ‫ا‬ ‫ث‬ ‫ا‬ ‫ا‬ ‫ود‬ ‫ا‬ ‫ار‬:−+
++→ eHOOH 442 22
‫دي‬ ‫ا‬ ‫ال‬ ‫ا‬ ‫ث‬ ‫س‬ ‫ا‬ ‫ود‬ ‫ا‬ ‫ار‬:AgeAg →+ −+
*******************************************************************************************************************
2-‫ال‬ ‫ا‬ ‫د‬ ‫ل‬:)()( −
= enAgn‫و‬‫ى‬ ‫أ‬‫أن‬:
F
tI
en
∆
=− .
)(⇐
F
tI
AgM
Agm ∆
=
.
)(
)(
‫و‬:
g51,1
96500
10860455,0
=
×××
=)(
.
)( AgM
F
tI
Agm ×
∆
=
*******************************************************************************************************************
‫ﻗﻠﻤﻲ‬ ‫ﻣﻮﻗﻊ‬ ... ‫ﺍﻻﻣﺘﺤﺎﻧﺎﺕ‬ ‫ﻭ‬ ‫ﺍﻟﺘﻤﺎﺭﻳﻦ‬ ‫ﻭ‬ ‫ﺩﺭﻭﺱ‬ ‫ﻣﻦ‬ ‫ﻟﻤﺰﻳﺪ‬

2. 3-‫د‬ ‫ا‬ ‫ل‬AgeAg →+ −+
‫ن‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ء‬ ‫ا‬ ‫أ‬:)()( +
= AgnAgn‫أي‬
VC
AgM
mAg
.
)(
)
=‫و‬:LmolLmol /10.3/10.8,2
5,0108
51,1 22 −−
≈=
×
=
VAgM
mAg
C
).(
)
=⇐2S‫ا‬ ‫ل‬ ‫ا‬ ‫ه‬‫و‬1S‫ن‬
‫ا‬ ‫ا‬ ‫ه‬ ‫آ‬LmolC /10.8,1 2
1
−
=.
‫ا‬:
-1‫ا‬ ‫ل‬ ‫ر‬ ‫آ‬ ‫درا‬:
11–‫رو‬ ‫ا‬ ‫ا‬-‫ا‬S-
‫ى‬ ‫ا‬ ‫د‬:‫ا‬S‫ا‬ ‫ى‬:-‫وز‬P
r
-R
r
:‫ون‬ ‫س‬ ‫ا‬ ‫ن‬ ‫ا‬ ‫د‬ ‫وه‬ ‫س‬ ‫ا‬ ‫ف‬ ‫ا‬ ‫ة‬ ‫ا‬
‫ك‬ ‫ا‬.
-‫ا‬ ‫ن‬ ‫ا‬:GamF
rr
.=Σ‫أي‬:GamRP
rrr
.=+
‫ر‬ ‫ا‬ ‫ط‬),( ioxamP .0sin. =++ α‫أي‬:xamgm .sin.. =α‫و‬:αsin.gax =
‫و‬0=ay‫آ‬),( yo‫و‬:αsin.gaa G ==
*******************************************************************************************************************
2-1-‫ة‬ ‫آ‬ ‫ا‬ ‫إذن‬ ‫رع‬ ‫وا‬ ‫ر‬ ‫ا‬‫ر‬ ‫م‬.
**********************************************************************************************************************
1-3-‫ة‬ ‫ا‬ ‫ء‬tx‫و‬v‫ا‬ ‫ا‬ ‫ا‬:




=
=
tav
tax
.
.
2
1 2
⇐ABavv AB ..2
22
=−
0=Av‫و‬:αsin.ga =⇐ABgvB ..sin..2
2
α=‫و‬:smABgvB /20..sin..2 == α
**********************************************************************************************************************
2-‫ء‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫درا‬'C'B.
2-1-‫ر‬ ‫ا‬B'C'‫ا‬S‫ا‬ ‫ى‬:
P
r
:‫وز‬
-R
r
:‫س‬ ‫ا‬ ‫ن‬ ‫آ‬ ‫ا‬ ‫وه‬ ‫س‬ ‫ا‬ ‫ف‬ ‫ا‬ ‫ة‬ ‫ا‬
‫ك‬.
‫ا‬ ‫ن‬ ‫ا‬:GamRP
rrr
.=+‫ر‬ ‫ا‬ ‫ط‬ox':amf .0 =−⇐
m
f
a −=
‫م‬ ‫ة‬ ‫آ‬ ‫ا‬.
******************************************************************************************************************
2-2-‫ا‬ ‫ا‬ ‫ا‬B‫و‬C:BCaVV BC ..2
22
=−:
m
f
a −=⇐
m
Lf
VV BC
...222 −
=−
( ) N2,83
1002
651220 22
=
×
×−
=
( )
L
mVV
f CB
2
22
×−
=
******************************************************************************************************************
3-‫ا‬ ‫ل‬ ‫آ‬ ‫ا‬ ‫درا‬:
3-1-‫ا‬ ‫در‬‫ا‬S‫وز‬P
r
‫ا‬ ‫ل‬ ‫آ‬.
‫ﻗﻠﻤﻲ‬ ‫ﻣﻮﻗﻊ‬ ... ‫ﺍﻻﻣﺘﺤﺎﻧﺎﺕ‬ ‫ﻭ‬ ‫ﺍﻟﺘﻤﺎﺭﻳﻦ‬ ‫ﻭ‬ ‫ﺩﺭﻭﺱ‬ ‫ﻣﻦ‬ ‫ﻟﻤﺰﻳﺪ‬

3. ‫ا‬ ‫ا‬ ‫ن‬ ‫ا‬S‫در‬:GamP
rr
.=
‫ا‬ ‫ط‬)',',( jio
rr



=−
=
y
x
amP
am
.
.0
⇐



−=
=
ga
a
y
x 0.
⇐






−=
=
g
dt
dv
dt
dv
y
x
0.
⇐




+−=
=
yoy
te
x
vtgv
Cv
.
.
‫ا‬ ‫وط‬ ‫ا‬ ‫ل‬ ‫و‬:



+−=
=
θ
θ
sin..
cos..
Dy
Dx
Vtgv
Vv
‫أي‬:






+−=
=
θ
θ
sin..
cos..
D
D
Vtg
dt
dy
V
dt
dx
‫ا‬ ‫ل‬:




++−=
+=
oD
D
ytVtgy
xotVx
)..(sin.
2
1
)..(cos.
2
θ
θ
⇐




+−=
=
tVtgy
tVx
D
D
)..(sin.
2
1
)..(cos.
2
θ
θ
‫ر‬ ‫ا‬ ‫د‬:θ
θ
tan.
cos.
.
2
1
22
2
x
V
x
gy
D
+−=
******************************************************************************************************************
3-2-‫ا‬Px=xp‫و‬y=yp‫ر‬ ‫ا‬ ‫د‬ ‫ض‬:
θ
θ
tan.
cos.
.
2
1
22
2
P
D
P
P x
V
x
gy +−=⇐PP
D
P
yx
V
x
g −= θ
θ
tan.
cos.
.
2
1
22
2
⇐
)tan.(cos..2
.
. 2
2
2
PP
P
D
yx
xg
V
−
=
θθ
‫و‬:
)tan..(2
.
.
cos PP
P
D
yx
gx
V
−
=
θθ
‫ت‬.‫ع‬:smVD /6,10
)545tan.15.(2
10
.
45cos
15
=
+
=
****************************************************************************************************************
‫ء‬ ‫ا‬:
1--1‫ات‬ ‫ا‬ ‫ن‬:Euu CR =+:
dt
du
CR
dt
uCd
R
dt
dq
RiRu CC
R .
).(
.... ====
Eu
dt
du
CR C
C
=+.
**************************************************************************************************************
2-1–‫ا‬:)1.( τ
t
C eAu
−
−=‫آ‬:
τ
t
C eEAu
−
−= .⇐τ
τ
t
C
e
A
dt
du −
=
.
‫ا‬ ‫د‬ ‫ا‬:EeAAe
A
CR
tt
=−+
−−
ττ
τ
...⇐EA
CR
eA
t
=+−
−
)1
.
(.
τ
τ
⇐




=−
=
01
.
τ
CR
EA
‫و‬:CR.=τ‫و‬:EA =⇐)1.( RC
t
C eEu
−
−=
*********************************************************************************************************************

4. 1-3-‫أن‬:CuCtIq .. ==⇐
Cu
tI
C
.
=‫و‬:[ ] [ ] [ ]
[ ]U
tI
C
×
=
‫و‬:iRuR .=⇐
i
u
R R
=‫و‬:[ ] [ ]
[ ]I
U
R =
‫و‬‫أن‬:CR.=τ‫ن‬:[ ] [ ] [ ] [ ]
[ ]
[ ] [ ]
[ ]
[ ]t
U
tI
I
U
CR =
×
×=×= .τ‫إذن‬τ‫ز‬.
*******************************************************************************************************************
1-4-:VEA 25==‫و‬:s40=τ.‫و‬:Ω=== −
181818
10.220
40
6
C
R
τ
‫أو‬:Ω≈ kR 3
10.82,1
*******************************************************************************************************************
1-2 -2-‫ا‬tst =:sc uu =⇐)1.( RC
t
s
S
eEu
−
−=‫أي‬:RC
t
s
S
e
E
u −
−= 1⇐
E
u
e sRC
t
−=
−
1
⇐)ln(
E
uE
RC
t ss −
=
−
‫أي‬:
s
s
uE
E
CRt
−
= ln..
*********************************************************************************************************************
2-2‫ل‬:Vus 15=:ss
uE
E
t
s
s 8056,36)
1525
25
ln(40ln. <=
−
=
−
= τ‫آ‬ ‫ل‬ ‫و‬ ‫ح‬ ‫ا‬ ‫إذن‬
‫رة‬ ‫ا‬.
*******************************************************************************************************************
3-2‫ا‬ ‫ا‬Rs‫ل‬ ‫رة‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫و‬‫إ‬‫ا‬ ‫ح‬ ‫ا‬ ‫ء‬ ‫ا‬:tts ∆=‫أي‬:
t
uE
E
CR
s
s ∆=
−
ln.‫و‬:Ω≈Ω=
−
∆
= k
uE
E
C
t
R
s
s 400396857
ln.
********************************************************************************************************************
‫و‬ ‫ا‬ ‫ء‬ ‫ا‬:
1-1-1‫ا‬ ‫د‬:xNC A
Z+→14
7
14
6‫دي‬ ‫ن‬:



+=
+=
Z
A
76
1414
⇐



−=
=
1
0
Z
A
⇐‫ه‬ ‫ا‬:e0
1−‫ون‬ ‫ا‬
⇐‫ه‬ ‫ط‬ ‫ا‬ ‫ع‬−
β:eNC 0
1
14
7
14
6 −+→
**********************************************************************************************************************
1-2‫ة‬ ‫ا‬ ‫اة‬ ‫ا‬ ‫ن‬:N14
77‫و‬ ‫ت‬ ‫و‬7‫ت‬ ‫و‬.
*************************************************************************************************************************
1-3‫ن‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫ا‬:
************************************************************************************************************
2-‫ن‬ ‫ر‬ ‫ا‬14.
‫ة‬ ‫ه‬ ‫ا‬ ‫ا‬ ‫ط‬:Bqao 165=‫ا‬ ‫ا‬ ‫ط‬:Bqa 135=
:t
o eaa .
.
λ−
=⇐t
o
e
a
a .
.
λ−
=⇐t
a
a
o
.ln
.
λ−=⇐t
ta
ao
×=
2/1
2ln
ln‫و‬:2/1
2ln
ln
ta
a
t
o
×=
‫ت‬.‫ع‬:ansanst 16125570
2ln
135
165
ln
≈×=
SBIRO Abdelkrim Royaume du Maroc région d'Agadir
fr.yahoo@sbiabdou:Adresse électronique
‫ا‬ ‫ا‬ ‫ل‬ ‫وأ‬ ‫د‬