ﺔﻴﺒﻌﺸﻟﺍ ﺔﻴﻁﺍﺭﻘﻤﻴﺩﻟﺍ ﺔﻴﺭﺌﺍﺯﺠﻟﺍ ﺔﻴﺭﻭﻬﻤﺠﻟﺍ
ﺩﻌﺒ ﻥﻋ ﻥﻴﻭﻜﺘﻟﺍﻭ ﻡﻴﻠﻌﺘﻠﻟ ﻲﻨﻁﻭﻟﺍ ﻥﺍﻭﻴﺩﻟﺍ ﺔﻴﻨﻁﻭﻟﺍ ﺔﻴﺒﺭﺘﻟﺍ ﺓﺭﺍﺯﻭ ﻯﻭﺘﺴﻤﻟﺍ ﻥﺎﺤﺘﻤﺍ ﺏﺍﻭﺠ ﻡﻴﻤﺼﺘ
– ﻱﺎﻤ ﺓﺭﻭﺩ 2011
ﺔﺒﻌﺸﻟﺍﻭ ﻯﻭﺘﺴﻤﻟﺍ :
ﺕﺎﻴﻀﺎﻴﺭ ﻱﻭﻨﺎﺜ 3 ﺓﺩﺎﻤﻟﺍ
: ﺔﻴﺌﺎﻴﺯﻴﻓ ﻡﻭﻠﻋ
ﻥﻴﺭﻤﺘﻟﺍ لﻭﻷﺍ : ) ﻁﺎﻘﻨ 7 (
. 1 ﺎﺌﻴﻁﺒ ﻼﻋﺎﻔﺘ لﻋﺎﻔﺘﻟﺍ ﺍﺫﻫ ﺭﺒﺘﻌﻴ . .
...
...
0.5
لﻋﺎﻔﺘﻟﺍ ﻉﺭﺴﻨ ﻲﻜﻟ لﻋﺎﻔﺘﻟﺍ ﻁﺴﻭ ﻥﺨﺴﻨ ... .
...
0.5
. 2 ﺇ ﺎﻤﻜ ل لﻭﺩﺠﻟﺍ ...:
1 ﺔﻟﺩﺎﻌﻤﻟﺍ
(H2N)2CO(aq) =NH4+(aq) +CNO−(aq) ﺔﻅﺤﻠﻟﺍ
ﻡﺩﻘﺘﻟﺍ ( mol.L–1 ) ﺔﻴﻟﻭﻤﻟﺍ ﺯﻴﻜﺍﺭﺘﻟﺍ ﺔﻴﺌﺍﺩﺘﺒﻻﺍ
0
V
x = c 0 0
ﺔﻴﻟﺎﻘﺘﻨﻻﺍ
V
x
V c− x
V x
V x ﺔﻴﺌﺎﻬﻨﻟﺍ
V
xf
V 0 c− xf =
V xf
V xf
. 3 ﺎﻨﻴﺩﻟ ﻡﺩﻘﺘﻟﺍ لﻭﺩﺠ ﻥﻤ :
V 0 c− xf = ...
0.25
ﺩﺠﻨ ﻪﻨﻤ ﻭ
1 :
f c 0,3mol.L V
x −
= ... =
...
0.25
. 4 ﻲﻫ لﻋﺎﻔﺘﻟﺍ ﻑﺼﻨ ﻥﻤﺯ ﻲﺘﻟﺍ ﺔﻅﺤﻠﻟﺍ
لﻋﺎﻔﺘﻟﺍ ﻡﺩﻘﺘ ﺎﻬﻴﻓ لﺼﻴ )
ﻲﻤﺠﺤﻟﺍ ﻡﺩﻘﺘﻟﺍ ﻭﺃ (
ﻪﺘﻤﻴﻗ ﻑﺼﻨ ﻰﻟﺇ ﺔﻴﺌﺎﻬﻨﻟﺍ
. 0.25
ﺏﺘﻜﻨ ﻑﻴﺭﻌﺘﻟﺍ ﺍﺫﻫ ﻥﻤ 2 :
V x V
x f
t1/2
⎟ =
⎠
⎜ ⎞
⎝ ... ⎛ 0.25
ﻥﺃ ﺎﻤﺒ ﻭ V c
xf =
ﻥﺫﺇ 2 : c V
x
2 /
t1
⎟ =
⎠
⎜ ⎞
⎝ ... ⎛ 0.25
ﺎﻨﻴﺩﻟ ﻡﺩﻘﺘﻟﺍ لﻭﺩﺠ ﻥﻤ V :
] x NH [ 4+ =
ﻰﻟﺇ لﺼﻨ ﺍﺭﻴﺨﺃ ﻭ V :
] c NH
[ 4+ t1/2 = ...
0.25
ﺩﺠﻨ ﻥﺎﻴﺒﻟﺍ ﻥﻤ :
t ½ = 4 h ...
0.25
/1
5
) L . mol ](
NH
[ 4+ −1
) h (
2 t
/
t1
. 5 ﺎﻨﻴﺩﻟ ﻡﺩﻘﺘﻟ ﻻﻭﺩﺠ ﻥﻤ :
] NH V [
x
4+
... = 0.25
ﺏﻭﻠﻁﻤﻟﺍ ﻥﻭﻨﺎﻘﻟﺍ ﻰﻟﺇ لﺼﻨﻓ ﻥﺎﻓﺭﻁﻟﺍ ﻕﺘﺸﻨ dt :
] NH [ d dt
V d x
v ⎟ = 4+
⎠
⎜ ⎞
⎝
⎛ ... =
0.25
ﻭﺭﻤ ﻊﻤ ﺹﻗﺎﻨﺘﺘ ﺔﻋﺭﺴﻟﺍ ﻩﺫﻫ ﺕﻗﻭﻟﺍ ﺭ
...
0.25
لﺜﻤﺘ ﻲﺘﻟﺍ ﺕﺎﺴﺎﻤﻤﻟﺍ ﻩﺫﻫ لﻴﻤ ﺏﺴﺤﻨ ﻭ ﺔﻔﻠﺘﺨﻤ ﺔﻴﻨﻤﺯ ﺕﺎﻅﺤﻟ ﻲﻓ ﻰﻨﺤﻨﻤﻠﻟ ﺕﺎﺴﺎﻤﻤﻟﺍ ﻥﻤ ﺔﻋﻭﻤﺠﻤ ﻡﺴﺭﻨ
ﺭﻤﺘﺴﻤ ﺹﻗﺎﻨﺘ ﻲﻓ ﺎﻬﻨﺃ ﻅﺤﻼﻨﻓ ،لﻋﺎﻔﺘﻠﻟ ﺔﻴﻤﺠﺤﻟﺍ ﺔﻋﺭﺴﻟﺍ ...
...
0.5
ﻋﺭﺴﻟﺍ ﺔﻤﻴﻗ ﺏﺎﺴﺤ ﺔﻅﺤﻠﻟﺍ ﻲﻓ ﺔ
t ½
: ﺱﺎﻤﻤﻟﺍ لﻴﻤ ﺏﺴﺤﻨ :
1
4 0,025mol.L 1h
) 0 4 (
) 05 , 0 15 , 0 ( dt
] NH [ d dt
V d x
v − −
+ =
−
= −
⎟ =
⎠
⎜ ⎞
⎝
⎛ ... =
0.5
. 6 لﻋﺎﻔﺘﻟﺍ ﺭﺴﻜ ﺓﺭﺎﺒﻋ ] :
CO ) N H [(
] CNO [ ] NH Q [
2 2 r 4
− + ⋅
... = 0.5
/2 5
) L . mol ](
NH
[ 4+ −1
) h ( 2 t
/
t1
ﺎﻨﻴﺩﻟ ﻡﺩﻘﺘﻟﺍ لﻭﺩﺠ ﻥﻤ :
] NH V [
x = 4+
ﻭ ﻙﻟﺫﻜ ]
CNO V [
x −
... = + 0.25
0.25
ﺏﺘﻜﻨ ﻪﻨﻤ ﻭ ] :
NH [ c
] NH Q [
4 4 2
r +
+
= − ...
0.25
ﻱﺩﺩﻌﻟﺍ ﻕﻴﺒﻁﺘﻟﺍ :
15 , 15 0 , 0 3 , 0
15 , Q 0
2
r =
= − ...
0.25
ﻲﻨﺎﺜﻟﺍ ﻥﻴﺭﻤﺘﻟﺍ :
) ﻁﺎﻘﻨ 7 (
. 1 ﻲﻁﺒﻬﻤﻟﺍ ﺯﺍﺯﺘﻫﻻﺍ ﻡﺴﺍﺭ ﻊﻤ ﺓﺭﺍﺩﻟﺍ ﻁﺒﺭ ...
..
1
. 2 ﻥﺃ ﻡﻠﻌﻨ uR(t) = R.i(t)
ﻪﻨﻤ ﻭ R :
) t ( ) u
t (
i = R ...
0.5
ﻡﻴﻗ لﻜ ﻡﺴﻘﻨ uR
ﺔﻤﻭﺎﻘﻤﻟﺍ ﻰﻠﻋ ﻷﺍ لﻗﺎﻨﻠﻟ R
ﻡﻴﻗ ﺩﺠﻨﻓ ﻲﻤﻭ . i(t)
...
0.25
. 3 ﺩﺠﻨ ﻥﺎﻴﺒﻟﺍ ﻥﻤ :
uR = 3,75 V .
...
0.25
ﻲﻫ ﺓﺭﺍﺩﻟﺍ ﺯﺎﺘﺠﺘ ﻲﺘﻟﺍ ﻲﺌﺎﺒﺭﻬﻜﻟﺍ ﺭﺎﻴﺘﻟﺍ ﺓﺩﺸ :
A 25 , 15 0
75 , 3 R
I0 = uR = = ... .
0.5
)
V ( uR
) ms ( t
L r R
K E
uB uR
y1
. 4 ﻥﻭﻜﻴ ﻡﺌﺍﺩﻟﺍ ﻁﻤﻨﻟﺍ ﻲﻓ :
dt 0 di = ...
0.5
ﺔﻴﻠﻀﺎﻔﺘﻟﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﺢﺒﺼﺘ ﻪﻨﻤ ﻭ :
I0
) r R (
E= + ⋅ ...
0.5
ﺩﺠﻨ ﺔﻟﺩﺎﻌﻤﻟﺍ ﻩﺫﻫ ﻥﻤ :
Ω
=
=
=
+ 20
25 , 0
5 I
) E r R ( ... 0
0.5
ﺩﺠﻨ ﻪﻨﻤ ﻭ :
Ω
=
−
=
−
=20 R 20 15 5 ... r
0.5
. 5 ﺃ . ﺔﻟﺍﺩﻟﺍ ﻕﺘﺸﻨ : i(t)
τ
⋅ −
×τ
= 0 1 e t/ dt I
) t ( ... di 0.5
ﺔﻴﻠﻀﺎﻔﺘﻟﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﻲﻓ ﺽﻭﻌﻨ
τ :
− τ
− + + × − ⋅ + ×
τ ⋅
×
= I0 e t/ (R r) I0 I0 (R r) e t/ L
E
ﺩﺠﻨ ﻪﻨﻤ ﻭ r :
R L
= + ... τ 0.5
ﺏ . ﺽﻭﻌﻨ t = τ
ﺔﻟﺩﺎﻌﻤﻟﺍ ﻲﻓ
(
− − τ)
= + 1 e t/ r
R ) E t ( i
ﺩﺠﻨﻓ r : R 63 E , e 0 1 1 r R ) E t (
i ⎟= × +
⎠
⎜ ⎞
⎝⎛ −
= + τ ... =
0.5
ﻲﻁﻌﻴ ﻱﺩﺩﻌﻟﺍ ﻕﻴﺒﻁﺘﻟﺍ :
A 6 , 1 25 , 0 63 , r 0 R 63 E , 0 ) t (
i = × =
× +
= τ ... =
0.25
ﺩﺠﻨ ﻥﺎﻴﺒﻟﺍ ﻥﻤ :
τ = 0,60 ms .
...
0.25
. ـﺟ ﺔﻌﻴﺸﻭﻟﺍ ﺔﻴﺘﺍﺫ :
) r R ( L=τ⋅ + ...
0.25
ﻲﻁﻌﻴ ﻱﺩﺩﻌﻟﺍ ﻕﻴﺒﻁﺘﻟﺍ :
H 012 , 0 20 10
. 6 , 0
L= −3× =
...
0.25
ﺎﺜﻟﺍ ﻥﻴﺭﻤﺘﻟﺍ ﺙﻟ
: ) ﻁﺎﻘﻨ 6 (
. 1 ﻱﺭﻭﺩ ﻪﺒﺸ ﻁﻤﻨ ﻭﻫ ﻁﻤﻨﻟﺍ ...
1
. 2 ﺩﺠﻨ ﻥﺎﻴﺒﻟﺍ ﻥﻤ :
4 2 T 5 =
ﻪﻨﻤ ﻭ : T = 1,6 s ...
1
. 3 ﺔﻟﺍﺩﻟﺍ ﻥﻴﺘﺭﻤ ﻕﺘﺸﻨ
⎟⎟⎠
⎜⎜ ⎞
⎝
⎛ π⋅ θ
=
θ t)
T cos 2
max 0
ﺩﺠﻨﻓ : π θ
−
⎟⎟=
⎠
⎜⎜ ⎞
⎝
⎛ π⋅ π θ
− θ =
02 2 max 0
02 2 2
2
T ) 4
T t cos 2 T
4 dt
... d 1
ﻥﻤ لﻜ ﺔﻴﻠﻀﺎﻔﺘﻟﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﻲﻓ ﺽﻭﻌﻨ
2 2
dt d θ ﻭ : θ g 0
T 4
02
2 θ+ θ=
− π A
ﻪﻨﻤﻭ : T 0
4
g 2
2⎟⎟θ=
⎠
⎞
⎜⎜
⎝
⎛A − π
ﺩﺠﻨ ﻪﻨﻤ ﻭ g :
2
T0 A
π ... =
1
. 4 ﺍ ﺔﻴﺒﺫﺎﺠﻟﺍ ﺔﻤﻴﻗ ﺔﻴﻀﺭﻷ
2 :
0 2
T g = 4π ⋅A ...
1
ﻱﺩﺩﻌﻟﺍ ﻕﻴﺒﻁﺘﻟﺍ
2 :
2 2
s . m 7 , 6 9
, 1
63 , 0 14 , 3
g = 4× ⋅ = −
...
1
/5
5
