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04
½^ÏÞ
(
1
-
‫النووي‬ ‫التحول‬ ‫معادلة‬
:
210 206 4
84 2 ( )
z
Po Pb He α
→ +
‫نجد‬ ‫صودي‬ ‫قانون‬ ‫بتطبيق‬
:
{ {
84 2 84 2 82
z Z
= + ⇒ = − =
‫ومنه‬
:
210 206 4
84 82 2 ( )
Po Pb He α
→ +
2
-
‫لـ‬ ‫النووي‬ ‫الربط‬ ‫طاقة‬ ‫حساب‬
210
Po
‫و‬
206
Pb
2
( ) .
l
E Po m C
= ∆
210
( ) ( )
p n
m Zm A Z m m Po
∆ = + − −
84 1,00728 126 1,00866 209,9368
=1,76588 u 1 931,5
m
u Mev
∆ = × + × −
→
210
( ) 1,76588 931,5 1644,91
l
E Po Mev
= × =
206 2
( ) .
l
E Pb m C
= ∆
82 1,00728 124 1,00866 205,92950
=1,74130 u
m
∆ = × + × −
206
( ) 1622,02
l
E Pb Mev
=
‫ب‬
-
‫استقرارا‬ ‫االكثر‬ ‫النواة‬ ‫ايجاد‬
( )
210
( ) 7,83 /
l
E
Po Me nuc n
v
A
léo
=
( )
206
( ) 7,87 /
l
E
Pb Me nuc n
v
A
léo
=
‫أن‬ ‫بما‬
210 206
( )  ( )
l l
E E
Po Pb
A A
‫نواة‬ ‫ھي‬ ‫استقرارا‬ ‫االكثر‬ ‫النواة‬ ‫فإن‬
206
( )
Pb
3
-
‫أ‬
-
‫االشعاعي‬ ‫التناقص‬ ‫قانون‬ ‫عبارة‬
0
( ) t
N t N e λ
−
=
‫ب‬
-
‫الصحيح‬ ‫االقتراح‬ ‫اختيار‬
:
‫لدينا‬
1/2
1/2
0
0 0
1/2
ln 2
4
0 1/2
( )
ln 2
= =
= 1 t=4t
D
t
t
t
N N N t
N N e
t
N e
λ
λ
−
− ×
= −
−
 
 
−
 
 
 
‫ومنه‬
:
0
15
16
D
N N
=
‫الصحيح‬ ‫االقتراح‬ ‫وھو‬
‫جـ‬
-
‫العمر‬ ‫نصف‬ ‫زمن‬
1/2
t
:
‫األنوية‬ ‫من‬ ‫االبتدائية‬ ‫الكمية‬ ‫نصف‬ ‫لتفكك‬ ‫الالزم‬ ‫الزمن‬ ‫ھو‬
0
1/2
( )
2
N
N t =
0
1/2
( )
2
N
N t =
0,5
0,5
0,5
0,25
0,5
0,5
0,5
0,5
1,5
02
ívË‘
01

àÚ
10
‫لدينا‬
:
1/2
1/2 1/2
ln 2
.
0
ln 2 ln 2
. .
0
0
( )
( )
( )
t
t
t t
t t
N t N e
N
N t
e e
N N t
−
−
=
= ⇒ =
0
ln .
( )
N
at
N t
 
=
 
 
‫و‬
0
1/2
ln 2
ln .
( )
N
t
N t t
 
=
 
 
‫البيان‬ ‫معادلة‬
:
-
‫حيث‬
a
‫نجد‬ ‫بالمطابقة‬ ‫موجب‬ ‫وھو‬ ‫البيان‬ ‫ميل‬
1/2
ln 2
a
t
=
‫ومنه‬
:
1/2 138
t jours
=
êÞ^nÖ]àè†ÛjÖ]
V
)
04
½^ÏÞ
(
 
1
-
‫التيار‬ ‫جھة‬
:
2
-
‫عبارة‬
éq
C
‫أن‬ ‫نعلم‬
1 2
1 1 1
éq
C C C
= +
‫ومنه‬
:
1 2
1 2
éq
C C
C
C C
×
=
+
3
-
‫أ‬
-
‫التفاضلية‬ ‫المعادلة‬
:
‫نجد‬ ‫التوترات‬ ‫جمع‬ ‫قانون‬ ‫حسب‬
:
1 2
C R C
U U U E
+ + =
 
1 1 1
2 2 2
1 1
1 2 2
2
q =q
R
U Ri
q C U
q C U
C U
U
C
=
=
=
×
⇒ =
1 2
1 1 1
1 1
2
( ) ( )
( )
C R C
U U U E
C U t dU t
U t RC E
C dt
+ + =
+ + =
 
‫المعادلة‬ ‫تكون‬ ‫ومنه‬
:
1 1
1
( ) ( )
éq
dU t U t E
dt RC RC
+ =
‫ب‬
-
‫التفاضلية‬ ‫المعادلة‬ ‫حل‬
:
1( ) (1 )
t
U t A e α
−
= −
‫الحل‬ ‫نشتق‬
:
1( ) t
dU t
A e
dt
α
α −
=
‫التفاضلية‬ ‫المعادلة‬ ‫في‬ ‫ومشتقه‬ ‫الحل‬ ‫ونعوض‬
1
1
1
( )
0
t t
éq
t t
éq éq
E
A e A Ae
RC RC
A A E
A e e
RC RC RC
α α
α α
α
α
− −
− −
+ − =
+ − − =
1
1
1 1
1 1
= 0 ( )
0
= 0
t t
éq éq éq
t t
éq
éq éq
éq
A E
A A e A Ae
RC RC RC RC
A A E
EC A E A e e
A RC RC RC
C RC RC
α α
α α
α α α
α
− −
− −

⇐ − =  + − =


⇐

 + − − =
⇐ − = 


0.5
0.5
0.5
0,5
0,25
0,25
0,5
0,5
01
1
C
2
C R
K
E
i
i
UR
UC1
UC2
ívË‘
02

àÚ
10
4
‫ـ‬
‫أ‬
-
‫المنحنى‬
)
1
(
‫يمثل‬
1( )
U t
‫المنحنى‬
)
2
(
‫يمثل‬
( )
R
U t
‫ألن‬
:
‫عند‬
0
t =
‫يكون‬
1 0
U =
‫و‬
R
U
‫الشحن‬ ‫نھاية‬ ‫وعند‬ ‫أعظمي‬
1
U
‫و‬ ‫أعظمي‬
R
U =0 0
i
⇐ =
‫ب‬
-
‫من‬ ‫كل‬ ‫ايجاد‬
E
,
0
I
,
τ
‫و‬
2
C
‫عند‬
0
t = 0
1 2 R
U U U E
+ + =
0
12
R
E U V
= =
‫ولدينا‬
0
0
3
0 0
. 4 10
R
R
U
U R I I A
R
−
= ⇒ = = ×
‫ايجاد‬
τ
:
‫لما‬
:
t τ
=
‫فإن‬
:
0
1 1
( ) 0,63
E U U
τ
= =
‫ومنه‬
:
3
4 4 10
ms s
τ −
= = ×
‫ايجاد‬
1
C
:
-6
. = =1,33 10
éq éq
R C C
R
τ
τ = ⇒ ×
‫ولدينا‬
:
1
.
=8
éq
E C
A V
C
=
1
1 2
2
1
1 1
2
4
. éq
C F
C C
C F
E C
C
A
µ
µ

+
 =


⇒
 
=

 =


oÖ^nÖ]àè†ÛjÖ]
V
E
06
½^ÏÞ
D

 
ðˆ¢]
I

V
 
1
-
‫الشكل‬ ‫على‬ ‫الخارجية‬ ‫القوى‬ ‫تمثيل‬
:
2
-
‫الطاقة‬ ‫انحفاظ‬ ‫مبدا‬ ‫بتطبيق‬
:
‫الجملة‬
)
‫جسم‬
+
‫أرض‬
(
‫لحساب‬ ‫المرجعي‬ ‫المستوى‬ ‫بإختيار‬
‫للنقطة‬ ‫االفقي‬ ‫المستوى‬ ‫في‬ ‫الموازي‬ ‫الثقالية‬ ‫الكامنة‬ ‫الطاقة‬
ppA
E = 0
‫لدينا‬
:
( )
cA ppA C pp
E E W f E E
+ + = +

( )
C c A pp
E E E W f
= − −
.
C c A
E E mgh f x
= − − sin
h x α
=
‫ومنه‬
:
( sin ).
C c A
E E mg f x
α
= − +
3
-
‫التجريبية‬ ‫الدراسة‬
:
‫أ‬
-
‫السرعة‬ ‫قيمة‬
A
v
‫البيان‬ ‫من‬
:
‫عند‬
0
t =
‫لدينا‬
2
1
2
C c A
E E mv
= =
‫ومنه‬
2 210
7,07 /
0,4
C
A A A
E
v v v m s
m
= ⇒ = ⇒ =
‫ب‬
-
‫االحتكاك‬ ‫قوة‬ ‫شدة‬
f
:
‫عند‬
0
C
E =
0,25
0,25
0,5
0,25
0,25
0,5
0,5
0,5
0,5
0,5
02
0.5
0.5
1,25
ívË‘
03

àÚ
10
‫الشكل‬
-
3
-
‫لدينا‬
sin
f = c A
E mgx
x
α
−
‫ومنه‬
:
10 0,4 10 4 sin30
f =0,5 f =
4
x x x
N
−
⇐
‫لما‬ ‫السرعة‬ ‫انعدام‬ ‫موضع‬ ‫ــ‬
0 / 4
v m s x m
= ⇒ =
1
-
‫أ‬
/
‫الجسم‬ ‫تسارع‬ ‫قيمة‬
( )
s
:
‫نجد‬ ‫لنيوتن‬ ‫الثاني‬ ‫القانون‬ ‫بتطبيق‬
:
.......(1)
ext
F ma
=
∑
 
P R f ma
+ + =
   
‫المحور‬ ‫على‬ ‫باإلسقاط‬
( )
ox
‫نجد‬
:
x
P f ma
− − =
‫ومنه‬
:
sin a = - sin
f
mg f ma g
m
α α
 
− − = ⇒ +
 
 
2
0,5
a = - 10sin30 6,25 /
0,4
a m s
 
+ ⇒ = −
 
 
‫ب‬
/
‫الحركة‬ ‫طبيعة‬
:
‫لدينا‬
:
a 0
v  0


⇐ 

‫بإنتظام‬ ‫متباطئة‬ ‫مستقيمة‬ ‫حركة‬
‫الجزء‬
II
:
1
-
‫أ‬
-
‫التفاضلية‬ ‫المعادلة‬
-
‫الجملة‬ ‫باختيار‬
)
‫نابض‬
+
‫جسم‬
(
‫نجد‬ ‫الطاقة‬ ‫انحفاظ‬ ‫مبدا‬ ‫بتطبيق‬
:
te
C pe
E E E C
= + =
2 2
1 1
2 2
te
E mv Kx C
= + =
‫نجد‬ ‫باالشتقاق‬
:
. . 0 ...........(1)
dE dv dx
mv Kx
dt dt dt
= + =
‫في‬ ‫نعوض‬
)
1
(
‫نجد‬
:
2
2
0
dx K
x
m
dt
+ =
‫الشكل‬ ‫من‬ ‫حلھا‬ ‫الثانية‬ ‫الدرجة‬ ‫من‬ ‫التفاضلية‬ ‫المعادلة‬ ‫وھي‬
:
0 0
( ) cos( )...(2)
x t X t
ω ϕ
= +
‫المتخامدة‬ ‫غير‬ ‫الحرة‬ ‫الميكانيكية‬ ‫االھتزازت‬ ‫تمثل‬
‫ب‬
/
‫الذاتي‬ ‫الدور‬
0
T
-
‫الدور‬ ‫عبارة‬
:
‫ان‬ ‫نستنتج‬ ‫التفاضلية‬ ‫المعادلة‬ ‫في‬ ‫الحل‬ ‫بتعويض‬
:
0 2
m
T
K
π
=
‫الزمن‬ ‫مع‬ ‫التجانس‬ ‫ـ‬
:
[ ]
[ ]
[ ][ ]
[ ]
[ ][ ][ ] [ ]
[ ] [ ]
2
0 0
1 2 1
M M
T T T
F L M L T L
− − −
= = ⇒ =
2
-
‫التجريبية‬ ‫الدراسة‬
:
‫أ‬
-
‫من‬ ‫كل‬ ‫ايجاد‬
0
X
‫و‬
K
‫العبارة‬ ‫باشتقاق‬
)
2
(
‫نجد‬
:
0 0 0
( ) sin( )
dx
v t X t
dt
ω ω ϕ
= = − +
‫البيان‬ ‫من‬
:
0 4 0,157 0,628s
T x
= =
‫ومنه‬
:
( )
2
2
2
0
4 40
.0,4
0,628
K m
T
π
= =
40 ( / )
K N m
=
0 0
0
2 2.3,14
10 10( / )
0,628
rad s
T
π
ω ω
= = = ⇒ =
0,25
0,5
0,25
0,5
0,25
0,25
0,25
0,25
0,75
01
01
ívË‘
04

àÚ
10
‫للسرعة‬ ‫األعظمية‬ ‫القيمة‬
:
0 0 0 0
0
0,5
X = 5
10
M
M
V
V X X cm
ω
ω
= ⇒ = ⇒ =
‫جـ‬
/
‫األصلي‬ ‫طوله‬ ‫النابض‬ ‫يسترجع‬ ‫التي‬ ‫اللحظات‬
( )
0
x =
)
‫عظمى‬ ‫السرعة‬
: (
0
4
7
4
1,099s
T
t = =
,
0
3
5
4
0,785s
T
t = = 0
2
3
4
0,471s
T
t = = 0
1 ,1 7
4
0 5
T
t s
= =
3
-
‫أ‬
-
‫الحركة‬ ‫معادلة‬ ‫ايجاد‬
( )
x t
‫عند‬
0
t =
‫لدينا‬
0 0
(0) sin( ) 0
v X
ω ϕ
= − =
‫ومنه‬
sin( ) 0
ϕ = ⇐ 0
ϕ =
-
‫من‬ ‫كل‬ ‫نعوض‬
0
X
‫و‬
0
ω
‫و‬
0
ϕ =
‫المعادلة‬ ‫في‬
)
2
(
‫نجد‬
:
( ) 5cos(10 ) (cm)
x t t
=
‫ب‬
/
‫الجملة‬ ‫طاقة‬ ‫حساب‬
:
[ ] [ ]
2 2
2 2
0 0 0 0 0
2 2 2 2 2 2
0 0 0 0 0 0
2
0
1 1
=
2 2
1 1
= cos( ) sin( )
2 2
1 1
= . .cos ( ) . . .sin ( ) / K= . .
2 2
1
E .
2
pe c
te
E E E
Kx mv
K X t m X t
K X t m X t m
K X C
ω ϕ ω ω ϕ
ω ϕ ω ω ϕ ω
= +
+
+ + +
+ + +
= =

êÞ^nÖ]ðˆ{{{{¢]

V
è†rjÖ]àè†ÛjÖ]
V
)
6
0
½^ÏÞ
(
1
‫ـ‬
‫أساسي‬ ‫محلول‬ ‫خصائص‬ ‫دراسة‬
:
‫أ‬
-
‫التفاعل‬ ‫معادلة‬
:
( ) ( ) ( ) ( )
2 3
aq l aq aq
B H O BH H O
+ +
+ = +
‫ب‬
-
‫العالقة‬ ‫اثبات‬
:
‫نجد‬ ‫التقدم‬ ‫جدول‬ ‫من‬
:
max 0
. ......(1)
[ ]
f
f f
OH OH
x
OH C
x C
BH
τ τ
− −
−
+
   
     
= = = ⇒ =
 
‫لدينا‬
‫بتعويض‬
)
1
(
‫في‬
)
2
(
‫نجد‬
:
2 2
.
(1 )
e
f e f
a a
f
f
K C OH
K
K K
C
OH
τ
τ
−
−
 
 
−
 
  −
 
= ⇒ =
 
 
2
‫ـأـ‬
‫التقدم‬ ‫نسبة‬ ‫حساب‬
:
1 1
14 14
1 2
[OH ] 10 [OH ] 10
0,04 ; 0,001
pH pH
f f
C C C C
τ τ
− −
− −
= = = = = =
-
‫ألن‬ ‫ضعيفان‬ ‫االساسان‬
( )
1
f
τ 
‫ب‬
‫ـ‬
-
‫من‬ ‫كل‬ ‫قيمة‬ ‫حساب‬
1
a
K
‫و‬
2
a
K
:
( )
-10
1 2
-10
4 3
(1 )
=6,06.10
pKa( / )=-log 6.10 =9,21
e f
a
f
K
K
C
NH NH
τ
τ
+
−
=
⇒
( )
2
2
2
-8 -7
3 2
2
(1 )
= 10 pKa( / )=-log 9,9.10 =8
f
e
a
f
K
K NH OH NH OH
C
τ
τ
+
−
= ⇒
‫ومنه‬
:
‫أمين‬ ‫الھيدروكسيل‬ ‫من‬ ‫أقوى‬ ‫أساس‬ ‫النشادر‬
0,5
0,5
0,5
0,25
0,5
0,25
0,25
0,25
0,25
01
0,75
01
ívË‘
05

àÚ
10
1
-
2
-
‫الھيدروجين‬ ‫كلور‬ ‫محلول‬ ‫تحضير‬
:
‫حساب‬
0
C
0 0
10 . 10 371,15
11.65 /
37
P d
C C mol l
M
×
= = ⇒ =
‫أـ‬
‫التجاري‬ ‫المحلول‬ ‫حجم‬
:
0
0 0
0 0
0,015
V = . = .1 V =1,3 ml
11,6
a a
a
a
C V C
F V
C V C
= = ⇒ ⇒
‫ـ‬ ‫ب‬
‫التجريبي‬ ‫البروتوكول‬
:
-
‫سعتھا‬ ‫عيارية‬ ‫حوجلة‬ ‫نأخذ‬
(1L)
‫ناخذ‬ ‫ثم‬ ‫المقطر‬ ‫الماء‬ ‫من‬ ‫قليلة‬ ‫كمية‬ ‫فيھا‬ ‫نضع‬
‫كمية‬
(1,3mL)
‫المحلول‬ ‫من‬
S0
‫بواسطة‬
)
‫ماصة‬
+
‫مص‬ ‫اجاصة‬
(
‫الحوجلة‬ ‫في‬ ‫نسكبھا‬
‫العيار‬ ‫خط‬ ‫حتى‬ ‫المقطر‬ ‫بالماء‬ ‫نكمل‬ ‫وبعدھا‬ ‫جيدا‬ ‫نخلط‬ ‫ثم‬
(1L)
3
‫ـ‬
‫حمض‬ ‫المعايرة‬
–
‫للنشادر‬ ‫مخفف‬ ‫لمحلول‬ ‫أساس‬
1
-
‫أ‬
/
‫للمعايرة‬ ‫تخطيطي‬ ‫رسم‬
:
‫ب‬
-
‫المعايرة‬ ‫تفاعل‬ ‫معادلة‬
:
3 3 4 2
NH H O NH H O
+ +
+ = +
2
-
‫المعايرة‬ ‫لتفاعل‬ ‫التقدم‬ ‫نسبة‬
‫اضافة‬ ‫عند‬
5
a
V ml
=
‫يكون‬
9,6
pH =
‫التكافؤ‬ ‫نقطة‬ ‫قبل‬ ‫ونكون‬
-5
max max
0,015 0,005 x =7,5.10
a a
x C V X mol
= = ⇒
3 0 f 0
. x = 10 .
pH
T f T
H O V n x n V
+ −
  = − ⇒ −
 
5 9.6 5
f
x =7,5.10 10 .0,025 7,49.10
f
x mol
− − −
− ⇒ =
5
5
max
7,49.10
1
7,5.10
f
f
x
x
τ
−
−
= = =
-
‫تام‬ ‫تفاعل‬ ‫المعايرة‬ ‫تفاعل‬ ‫أن‬ ‫نستنتج‬
3
-
‫التكافؤ‬ ‫نقطة‬ ‫احداثيي‬
-
‫نجد‬ ‫البيان‬ ‫من‬
( 16 ; 5,8)
aE E
E V ml pH
= =
‫التراكيز‬ ‫استنتاج‬
‫التكافؤ‬ ‫عالقة‬ ‫من‬
:
. 0,015.16
'. . C'=
20
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a aE
b a aE
b
C V
C V C V
V
C mol l
= ⇒ =
=
‫ولدينا‬
b
' C =1000.C' 12 /
1000
b
b
C
C C mol l
= ⇒ ⇒ =
4
-
‫من‬ ‫التأكد‬
a
pK
‫سابقا‬ ‫المحسوبة‬
:
‫التكافؤ‬ ‫نصف‬ ‫عند‬
2
aE
V
V
 
=
 
 
‫نجد‬
:
9,2
a
pH pK
= =
‫ھو‬ ‫لما‬ ‫موافقة‬ ‫وھي‬
‫سابقا‬ ‫محسوب‬
5
-
‫ھو‬ ‫المعايرة‬ ‫لھذه‬ ‫المناسب‬ ‫الملون‬ ‫الكاشف‬
:
‫الكلوروفينول‬ ‫أحمر‬
‫يشمل‬ ‫اللوني‬ ‫تغيره‬ ‫مجال‬ ‫الن‬
5,8
E
pH =
0,5
0,5
0,5
0,5
0,25
0,25
0,25
0,25
0,25
0,5
0,5
0,5
01
0,75
0,5
0,5
0,5
0,5
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Studyadz 3as-physique-c3-13-24

  • 1. ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 1 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 ( ) ( ) 0 ln N Po N Po       ( ) t jours 34,5 1 .ln 2 4 ØÓŽÖ] <I 1 { íéfÃŽÖ]<íé]†Ïµ‚Ö]<íè†ñ]ˆ¢]<íè…çãÛ¢] < < íéßçÖ]<íéeÖ]ì…]‡æ J í肹]íè÷çÖíéeÖ]íè†è‚Ú ëçÞ^nÖ]Üé×ÃjÖ]é膟^è…çÖ^Óeá^vjÚc æ … ì V ë^{Ú 2017 ífÃŽÖ] ífÃŽÖ] ífÃŽÖ] ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] J ì^Ú»…^fj}c ì^Ú»…^fj}c ì^Ú»…^fj}c ì^Ú»…^fj}c V íéñ^èˆéËÖ]Ýç×ÃÖ] ì‚{{{{{{{¹] V 4 0 ^‰ l^ íÚ^âí¿uøÚ V °éÖ^jÖ]°Âç•ç¹]‚u_…^j−á_x¹]î× Ùæù]Åç{{{{{•ç¹] V ) 20 íŞÏÞ ( Ùæù]ðˆ¢] Ùæù]ðˆ¢] Ùæù]ðˆ¢] Ùæù]ðˆ¢] E E E E 14 íŞÏÞ íŞÏÞ íŞÏÞ íŞÏÞ D D D D Ùæù]àè†ÛjÖ] EV 04 ½^ÏÞ D ÝçéÞçÖçfÖ]ì]çÞÔÓËji 210 84 Po ”^‘†Ö]ì]çÞ±cÙçvjjÖ^éñ^Ï×i 206 z Pb íÏé΁p^ÃfÞ]ÄÚ α J 1 ‚ÃÖ]]‚¦ëæçßÖ]ÙçvjÖ]]„âíց^ÃÚgjÒ_{ z J 2 { _ { ÝçéÞçÖçfÖ]ì]çÞàÚØÓÖëæçßÖ]¼e†Ö]íÎ^gŠu_ 210 ”^‘†Ö]ì]çÞæ 206 J h { ÝçéÞçÖçfÖ]]…]†Ïj‰]†nÒ_°i]çßÖ]ë_ 210 ”^‘†Ö]Ý_ 206 J Øé×ÃjÖ]ÄÚ J 3 àÓéÖ{ ( ) 0 N Po í¿v×Ö]‚ßÂíßé»ÝçéÞçÖçfÖ]íèçÞ_‚ 0 t = æ ( ) N Po »íéÏfj¹]íèçÞù]‚Â í¿£‚ßÂíßéÃÖ]‹ËÞ t æH {eˆÚ†Þ D N íÓÓËj¹]ÝçéÞçÖçfÖ]íèçÞ_‚ÃÖ å…‚ÎàÚ‡…æ†Ú‚Ãe 1 2 4. t t = J _ { ^fÃe†Òƒ êÂ^Íý]“Î^ßjÖ]áçÞ^Îì… J h { }] xév’Ö]h]ç¢] íéÖ^jÖ]l^u]Î÷]°eàÚ V 1 ( ( ) 0 8 D N Po N = H 2 ( ( ) 0 16 D N Po N = H (3 ( ) 0 4 D N Po N = H 4 ( ( ) 0 15 16 D N Po N = {q { îßvß¹]Ønµ ØÓŽÖ]»ØnÛ¹]êÞ^éfÖ] I 1 l]Çi ( ) ( ) 0 ln N Po N Po       àÚˆÖ]íÖ÷‚e t J { ͆ 1 2 t àÚ‡ ÖífŠßÖ^eäjÛéÎsjßj‰]ÜmH†ÛÃÖ]Ì’Þ ]ìçß ÝçéÞçÖçfÖ 210 J ù] ù] ù] ù] l^éŞ l^éŞ l^éŞ l^éŞ V V V V ( ) ( ) 206 210 84 1,00728( ) , 205,9295( ) , 209,9368( ) P Z m u m Pb u m Po u = = = 2 1,00866( ) ,1 931,5 / n m u u MeV C = =
  • 2. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 2 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 1 C 2 C R K E ØÓŽÖ] I 2 êÞ^nÖ]àè†ÛjÖ] EV 04 ½^ÏÞ D ì…] íéñ^e†ãÒ ØŠ×ŠjÖ]î×Âëçj€ ØÓŽÖ]»íßéf¹]íéñ^e†ãÓÖ]†‘^ßÃÖ] I 2 J èoéh àÚgéÒÖ]áçÓj V ♦ ‚ÖçÚ †içjÖ]ke^m çÎ íÒ†]äi íéñ^e†ãÓÖ] E J ♦ äjÚæ^ÏÚêÚæ_ØÎ^Þ 3 R K = Ω J ♦ ^ÛãßÚØÒíÉ°jÆ…^Ê°jËnÓÚ 1 C æ 2 C J ♦ íÃ^Î K Øé‘çjÖ]Õø‰_æ J í¿£» 0 t = Þ íÃ^ÏÖ]Ð×Ç K J 1 { ØÓŽÖ]»íßéf¹]ì…]‚Ö]܉…‚Â_ I 2 Ú ßéf ^ãé×Â^ êñ^e†ãÓÖ]…^éjÖ]…æ†Úíãq ( ) i t †içjÖ]íãq]„ÒæH íËnÓ¹]»†°eêñ^e†ãÓÖ] 1 C íËnÓ¹]æ 2 C êÚæù]ØÎ^ßÖ]æ R Üã‰`e J 2 ì…^fÂgjÒ_{ eq C íÖ÷‚eì…]‚Ö]»íòÊ^Ó¹]íËnÓÛ×Ö 1 C æ 2 C J 3 { _ { †içjÖ]^ãÏϬÖ]íéו^ËjÖ]íց^ù]á_°e ( ) 1 u t íËnÓ¹]»†°e 1 C ØÓŽÖ]î×ÂgjÓi V ( ) ( ) 1 1 1 eq du t u t E dt RC RC + = h { ØÓŽÖ]î×Âíց^ù]å„âØuîŞÃè V ( ) ( ) . 1 1 t u t A e α − = − oéu A æ α ^Ûãéi…^f°éÃigתè°je^m J 4 ØÓŽÖ]{ I 3 Ønµ °éñ^e†ãÓÖ]àè†içjÖ]…çŞi^éßvßÚ ( ) 1 u t æ ( ) R u t J _ { içj×ÖêÞ^éeîßvßÚØÒgŠÞ] [†èjÖ]ÄÚg‰^ß¹]êñ^e†ãÓÖ]† h { ØÓŽÖ]îׁ^ÛjÂ÷^e I 3 { ] àÚØÒÜéÎsjßj‰ V {{ íéñ^e†ãÓÖ]íÒ†]ìçÏÖ] E J êñ^e†ãÓÖ]…^éj×ÖîÛ¿ÃÖ]ì‚ŽÖ]{{ 0 I J ì…]‚×ÖàÚˆÖ]ke^m{{ τ J íËnÓ¹]íÉ{{ 2 C J 0 ( ) u V ( ) t ms 2 2 ØÓŽÖ] I 3 (1) (2)
  • 3. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 3 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 ( ) C E J ( ) x m 1 0 2,5 ØÓŽÖ] I 5 Ö]àè†ÛjÖ] Ö]àè†ÛjÖ] Ö]àè†ÛjÖ] Ö]àè†ÛjÖ] oÖ^n oÖ^n oÖ^n oÖ^n EV EV EV EV 06 ½^ÏÞ ½^ÏÞ ½^ÏÞ ½^ÏÞ D D D D I ‫ـ‬ ^ÛŠqÍ„ÏÞ ^éŞÏÞ ( ) S äj×jÒ 400 m g = àÚ Ö] íŞÏß A íéñ]‚je]톊e A v ëçjŠÚÙçî×ÂÕ†vjéÊH íèæ]ˆeÐÊù]àÂØñ^Ú 30 α = â^ÛÒH ØÓŽÖ]»x•çÚç I 4 J ÜŠ¢]Ä–− ( ) S uð^ßm_ ÖäjÒ† Õ^Óju]ìçÏ f ì‚ŽÖ]íje^m íÒ†£]íã¢íŠÒ^ÃÚæ J íßÚ‡ù]_‚fÚjÃÞ Í„ÏÖ]íŞÏÞØ‘]çËÖ]_‚fÚæÍ„ÏÖ]í¿£ A J 1 I { íÏf޹]íéq…^¤]ïçÏÖ]ØnÚ ÜŠ¢]î× ( ) S äjÒ†uð^ßm_ J 2 I { á_°eíÎ^ŞÖ]¾^Ë©]_‚fÚÐéfŞje V ( ) sin C C A E E x m g f α = − + oéu V C E ÜŠr×ÖíéÒ†£]íÎ^ŞÖ] ( ) S æ x íéßÚ‡í¿£»äjב^Ê t J 3 I jßÓÚíéfè†rjÖ]í‰]…‚Ö] ^ß êÞ^éfÖ]îßvß¹]܉…àÚ ( ) C E f x = ¹] ØÓŽÖ]»°f I 5 J á^éfÖ]]„ãe^ßéÃjŠÚ àÚØÒíÛéÎsjßj‰] V 톊Ö]{ A v J Õ^Óju÷]ìçÎ삍{ f J { x ÜŠ¢]톉Ý]‚ÃÞ]Ä•çÚ J 4 I _ { éfŞje ÜŠ¢]Å…^ŠiíÛé΂qàiçéßÖêÞ^nÖ]áçÞ^ÏÖ]Ð ( ) S J h { ÜŠ¢]íÒ†uíÃéfêâ^Ú ( ) S [ îŞÃi V 2 10 . g ms− = II ‫ـ‬ ‫ـ‬ ÜŠ¢]¼e†Þ ( ) S Ðe^ŠÖ] e á†Ú˜e^ß øjÚÆäi^Ï×uHí×jÓÖ]ØÛãÚ äjÞæ†Úke^mHíÏ‘ k kfnÚ†}ù]äʆ ØÓŽÖ]»x•çÚçâ^ÛÒ I 6 J de ÓÚ ]á^ ÜŠ¢ ) ( S íÒ†£] Õ^Óju]áæ î× …ç]ÐÊæíéÏÊ_íÖæ^xމ ( ) ' x x xèˆÞ ÜŠ¢] ) ( S …]‚ϲgqç¹]å^Ÿ÷]»äÞ‡]çiÄ•æà 0 x äÒÞÜmH íéñ]‚je]톉áæäÖ^£ J „}`Þ 10 2 = π J 1 I _ { ‚qíÎ^ŞÖ]¾^Ë©]_‚fÚÐéfŞje íÒ†v×Öíéו^ËjÖ]íց^ù] J h { t†~j‰] 0 T ì…^f íÖ÷‚eí×Ûr×Öêi]„Ö]…æ‚Ö] , m k [àÚˆÖ]ÄÚ‹Þ^rjÚäÞ_°eæ 2 I kv Ö] í‰]…‚ Ö] íÒ†uØérŠjeíéfè†rj ÜŠ¢] ) ( S îßvßÚî×ÂÙç’£]æH 톊Ö] ( ) v f t = ØÓŽÖ]»x•ç¹] I 7 J _ { îßvß¹]îׁ^ÛjÂý^e Þ^éfÖ] ê íÛéÎsjßj‰] àÚØÒ V 0 , x k J h { êבù]äÖç˜e^ßÖ]^ãéÊÄqŠèÖ]l^¿v×Ö]á^éfÖ]àځ‚u J ØÓŽÖ] I 4 ( ) S A α A v x x x x ′ ØÓŽÖ] I 6 o ( ) s
  • 4. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 4 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 ( ) 1 v m s − × 0,25 0,157 ( ) t s ØÓŽÖ] I 7 3 I _ { íÒ†v×ÖíéßÚˆÖ]íց^ù]‚q ( ) x t J h { í×Û¢]íÎ^á_°e E ÜŠq G ˜e^Þ D íje^m J êÞ^nÖ]ðˆ¢] êÞ^nÖ]ðˆ¢] êÞ^nÖ]ðˆ¢] êÞ^nÖ]ðˆ¢] E E E E 06 ½^ÏÞ ½^ÏÞ ½^ÏÞ ½^ÏÞ D D D D è†rjÖ]àè†ÛjÖ] è†rjÖ]àè†ÛjÖ] è†rjÖ]àè†ÛjÖ] è†rjÖ]àè†ÛjÖ] V V V V ìƒç}`ÚØéÖ^]ØÒ ì…]†uíq…‚ß 25 °C J …^ŽßÖ] 3 NH ^eæ„×ÖØe^·^Æ ÷ç{צê{ŞÃèæð^{¹]»á ^é{‰^‰_ H …^rjÖ]…^{ŽßÖ]Ø{éÖ^¦ ^{Ú^{fÖ^Ææìˆ{Ò†Úí{è jŠi Ìé¿ßjÖ]]çÚ»ØÛà J àè†ÛjÖ]]„⻂è†Þ “ñ^’}˜Ãeí‰]… Ùç{צ 慁^{ŽßÖ] ç{âæ†{}_ê{‰^‰_Ùç{×v²^{ãjÞ…^ÏÚ Òæ…‚éâ Øé{Š _ °Ú 2 NH OH J íŞ{‰]çeì†è^{ù]Ðè†àÂë…^ŸtçjßÚ»…^ŽßÖ]ˆéÒ†iî×Â͆ÃjÞá_ÔÖ„Ò‚è†Þ^ÛÒ ð^¹]…ç×Ò˜·Ùçצ J I I II I Ùçצ“ñ^’}˜Ãeí‰]… Ùçצ“ñ^’}˜Ãeí‰]… Ùçצ“ñ^’}˜Ãeí‰]… Ùçצ“ñ^’}˜Ãeí‰]… ê‰^‰_ ê‰^‰_ ê‰^‰_ ê‰^‰_ V V V V 1 I ù^éñ^Ú÷çצjÃÞ Œ^‰ B åˆéÒ†i C íéñ^ßn×Öí•çÛ£]ke^nÖˆÚ†ÞH ( / ) BH B + {e a K ËjÖêñ^ãßÖ]Ý‚ÏjÖ]ífŠßÖæ {eð^¹]ÄÚ^ã×Â^ f τ J _ { ù]Ùø©]íց^ÃÚgjÒ_ Œ^{‰ B ð^{¹]» J h { á_°e V 2 (1 ) . e f a f K K C τ τ − = J 2 I { e^ßÛÎ éÏ ^ Œ {Ö] PH Ùç{× 3 NH æ Ùç{צ 2 NH OH ˆ{éÒÖ]‹{ËÞ^{Û 2 1 10 . C mol L − − = ÊH á^{Ó V 1 10,6 PH = æ 2 9 PH = g{éiÖ]î× J _ { _ Ý‚ÏjÖ]fŠÞgŠu 1 f τ æ 2 f τ J ]ƒ^{Ú [sjßj{Ši h { ÛéÎsjßj‰] 1 a PK æ 2 a PK J æ _ ×Â[ïçÎ_°‰^‰ù]ë Ø J II I II I ¹]…ç×Ò˜·Ùçצ–€ ¹]…ç×Ò˜·Ùçצ–€ ¹]…ç×Ò˜·Ùçצ–€ ¹]…ç×Ò˜·Ùçצ–€ ð^ ð^ ð^ ð^ V V V V l^Úç×ù]ØÛ€íéq^q‡ì…æ…^λ~¹]»ˆÒ†¹]ð^¹]…ç×Ò˜·Ùçצ‚qçè íéÖ^jÖ] V Hð^{¹]…ç{×Ò˜· M = 36,5 g/mol H P = 37 % H d = 1,15 1 I êÖç¹]ˆéÒÖ]gŠu_ 0 C ð^¹]…ç×Ò˜Û£ 0 S ç¹] ì…æ…^ÏÖ]»çq J 2 I ê×{‘ù]Ùç{×]à{Ú^ÎøŞÞ] 0 S ÷ç{צ†{–© a S êÖç{¹]åˆ{éÒ†i 1 0,015 . a C mol L− = ä{Ûru 1 V L = J _ { Ür£]çâ^Ú 0 V Ùç×]–vjÖå„}_gq]çÖ] a S J h { ÔÖ„Ö^éf膟÷çÒçiæ†e|Îc J
  • 5. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 5 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 0 2 2 ( ) a V ml pH ØÓŽÖ] I 8 III I II I {Ö]ì†è^ù] {Ö]ì†è^ù] {Ö]ì†è^ù] {Ö]ì†è^ù] PH I II I íèÚ íèÚ íèÚ íèÚ ]Ùç× ]Ùç× ]Ùç× ]Ùç× ßÖ ßÖ ßÖ ßÖ …^Ž …^Ž …^Ž …^Ž ÌË~¹] V ˆéÒÖ]‚è‚vjÖ êÖç¹] b C Ùç× ˆÒ†¹]…^ŽßÖ] Ö] ë…^rj H Þ ^{Ûru„}` 20 V ml = ë…^{rjÖ]Ùç{×]à{Ú ‚{Û¹] 1000 ì†Ú åˆéÒ†i 1000 b b C C ′ = å†è^ÃÞæ íŞ‰]çe ] Ùç× a S Ò˜Û£ °qæ…‚é]…ç× 3 ( ) ( ) ( ) aq aq H O Cl + − + †–] ‰ ^ åˆéÒ†i^Ïe 1 0,015 . a C mol L− = J sñ^jßÖ] íéfè†rjÖ] ^ãé×ÂØ’] ^ßjßÓÚ îßvß¹]܉…àÚ êÞ^éfÖ] ( ) a pH f V = ØÓŽÖ]H I 8 J 1 { _ { Ùç{ÒçiæÖ]|†{Žèê{Şéޡ܉…¼Â_ Ö] è†{rj íé×ÛÃÖ †è^ù] ì J h { _ íց^ÃÚgjÒ ØÂ^Ëi ì†è^ù] J 2 { êñ^{ãßÖ]Ý‚ÏjÖ]ífŠÞgŠu_ f τ ‚{Ãeì†è^{ù]Ø{Â^ËjÖ c Ê^• Üruí 5 a V ml = ^ãjè]‚eàÚ J [sjßjŠi]ƒ^Ú 3 { öÊ^ÓjÖ]íŞÏÞêém]‚u]‚u E H æ sjßj‰] ' b C æ b C J 4 { {Ö]íÛé΂è‚qàÚ‚q a PK íéñ^ßn×Ö ( ) 4 3 / NH NH + J íÏe^ŠÖ]íÛéÏ×ÖíÏÊ]çÚêâØâ J 5 { Ðʆ¹]Ùæ‚¢]»^ãéÖc…^Ž¹]íÞç×¹]̍]çÓÖ]°eàÚ cH ^ÓÖ]} ì†è^ù]å„g‰^ß¹]áç×¹]̍ J Øé×ÃjÖ]ÄÚ l^éŞÃÚ l^éŞÃÚ l^éŞÃÚ l^éŞÃÚ V 14 10 e K − = ì…]†£]íq…‚ß 25 C ° J 1 a K íéñ^ßn×Öí•çÛ£]ke^m 4 3 ( / ) NH NH + H 2 a K íéñ^ßn×Öí•çÛ£]ke^m 3 2 ( / ) NH OH NH OH + Ùæù]Åç•ç¹]îãjÞc Ùæù]Åç•ç¹]îãjÞc Ùæù]Åç•ç¹]îãjÞc Ùæù]Åç•ç¹]îãjÞc ̍^ÓÖ] êÞç×Ö]ÇjÖ]Ù^¥ °Ö^jÊÙçßéËÖ] 8.2 10 − ÙçßéÊæ…ç×ÓÖ]†·] 5.2 6.8 − °jÞ^é×] 3.1 4.4 −
  • 6. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 6 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 Ö]Åç•ç¹] Ö]Åç•ç¹] Ö]Åç•ç¹] Ö]Åç•ç¹] êÞ^n êÞ^n êÞ^n êÞ^n V V V V Ùæù]ðˆ¢] E 14 íŞÏÞ D Ùæù]àè†ÛjÖ] EV 04 ½^ÏÞ D Í^Õ_솎ÂÔ׳†ñ]ˆ¢]á_Ù^Ïè Õøãj‰÷] [[íéŠÛŽÖ]íÎ^ŞÖ]àÚê¹^ÃÖ] îÊi†ñ]ˆ¢^Ê ÙøÇj‰÷ ê^éju÷] íéŠÛŽÖ]íÎ^ŞÖ]àÚØñ^] E í×è‚fÖ]íÎ^ŞÖ] D ^ãÓ×j³Ö] J áæˆ~¹]]„â^éÊ]ˆqgŠvßÖ ê^éju÷] ëçߊÖ] J êÃée…Ýçè»ØÛÃjŠÞÔÖ„Ö E ŽÖ]íÍù]삍 íŞ‰çjÚíéŠÛ D ^ãjé×}íu^ŠÚíéŠÛŽÖ]íÎ^ŞÖ^eï„Çiíe†Â E íÖ^ÃËÖ]íu^Š¹] D êâ V 3 2 8 10 c S m − = × J Ù^ÛÃj‰^e ë‡^ãq ^ßÛÎÛŞÖçÊæÚfÚ_ ^Þ‚qçÊsi^ßÖ]…^éjÖ]삍Œ^éÏe V 0,02 I A = °e†içjÖ]æ ^ãéʆ çâ V 3,0 U V = áçÓiäé×Âæ íÂ^Şj‰÷] êâírjß¹] V 0,06 P I U W at = × = íu^Š¹]å„â» J 1 { êâ†ñ]ˆ¢]íu^ŠÚá_kÛ×Â]ƒc V 2 2381741 Alg S km = çâ‹ÛŽ¹]kÎçÖ]¼‰çjÚá_æ 12 ^éÚçèíÂ^‰ ý]æá]çé£]æl^fß×Öän×má_æ á^ŠÞ E íéÃéfŞÖ]ì…^Þý] D o×mîÏfèæíèç¢]Ù]çuù]æh^vŠÖ]gfŠe‚f×jèän×mæ çâê^éju] 04 ^éÚçèl^Â^‰ J ^ÛÊ íÎ^ŞÖ]íÛéÎêâ Alg E íé^éju÷] [íèçߊÖ] 2 { ]ƒc íÎ^ŞÖ]å„âÌ’ÞØèçvje^ßÛÎ Alg E ÏmíßÚ^ÒíÎ^±c íéÖ^ J { _ ð^¹]ÜrugŠu V å…‚Î^Â^Ëi…]äÃʅ݇øÖ]gÃÓ¹]¹^e 1000 h m = ^éÚçèÜm^èç߉ J 3 { ]ØÂ^Ëiçâ‚éuæØÂ^ËiàÂíŸ^ÞêŠÛŽÖ]Å^Íý]íÎ^{{á_jÃÞ °qæ…‚é]ì]çÞt^Ú‚Þ 2 ( ) 2 1H °qæ…‚é]ÄÚ 3 ( ) 3 1H Ýçé×é]ØÓŽjÖ 4 ( ) 4 2 He J _ { HëæçßÖ]t^Ú‚Þ÷]ØÂ^Ëi͆ _Üm ց^ÃÚgjÒ äj J h { _ ¼e†Ö]íÎ^gŠu l E A ßÖíèçÞØÓÖ °qæ…‚é]êi]ç 2 æ 3 Ýçé×é]ì]çÞæ 4 J ]…]†Ïj‰]†nÒù]ì]çßÖ]sjßj‰]æ J {q { _ gŠu e { MeV ì…†]íÎ^ŞÖ] à ØÂ^Ëi p^£]ëæçßÖ]t^Ú‚Þ÷] J  { _ ‹ÛŽÖ]í×jÒ»“ÏßÖ]…]‚ÏÚgŠu Alg m ∆ íéŠÛŽÖ]íÎ^ŞÖ]†è†vjÖíÚ‡øÖ] Alg E Ö Œæ…‚¹]ØÂ^Ëj× J {â { ßi‹ÛŽÖ]í×jÒá_kÛ×Â]ƒc êÖ]çh“Ï 6 íéÞ^nÖ]»àáçé×Ú J { _ ífŠßÖ]gŠu Alg m R M ∆ = ∆ J [Àuøi]ƒ^Ú oéu : M ∆ Þ ‹ÛŽ×ÖëçߊÖ]í×jÓÖ]“Ï J l^éŞÃ¹] l^éŞÃ¹] l^éŞÃ¹] l^éŞÃ¹] V V V V 2 10 / g m s = ð^Û×ÖíéÛr£]í×jÓÖ]H 1 / kg l ρ = ( ) ( ) ( ) ( ) ( ) 4 3 2 2 1 1 13 27 2 4,00150 ; 3,01550 ; 2,01355 1,00866 ; 1,00728 ; 1 1,6.10 1 1,66054 10 ; 1 931,5 / m He u m H u m H u m n u m p u MeV J u Kg u MeV C − − = = = = = = = × =
  • 7. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 7 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 êÞ^nÖ]àè†ÛjÖ] EV 04 ½^ÏÞ D Ö]ÐÏ© ØÓŽÖ]»°f¹]è†rjÖ]géÒ I 1 àÚáçÓ¹]æ V ♦ †]äiçÎke^m†içi‚ÖçÚ íéñ^e†ãÓÖ]íÒ E J ♦ ^ãjéi]ƒíÃéæ L ^ãjÚæ^ÏÚæ r J ♦ ^ÛãéjÚæ^ÏÚ°éÚæ_°×Î^Þ 1 2 R R = J ♦ íÃ^Î K °×}‚Ú냇]ˆjâ]܉]…æ J …]‚Ö^e‡]ˆjâ÷]܉]…¼e†Þ ØÓŽÖ]»°fÚçâ^ÛÒíéñ^e†ãÓÖ]ì I 1 J í¿v×Ö]‚ß 0 t = Þ íÃ^ÏÖ]Ð×Ç K ‡]ˆjâ÷]܉]…í^îׂâ^ŽÞ °éÞ^éfÖ]°éßvß¹] ( ) a æ ( ) b ØÓŽÖ]»°×nÛ¹] I 2 î×¼ǖÖ]‚ÃeH ‹Ò^ÃÖ]…ˆÖ] INV °×}‚¹]‚uù J 1 I ‹Ò^ÃÖ]…ˆÖ]î×¼ǖÖ^eù]Ø}‚¹]‚u INV J 2 I _ { …^éj×Öíéו^ËjÖ]íց^ù]‚ql]†içjÖ]ĶáçÞ^ÎÐéfŞje i J h { …^éjÖ]삍ì…^fÂsjßj‰] I íÖ÷‚eÜñ]‚Ö]Ý^¿ßÖ]» 2 1 , , R R E æ r . 3 I îßvß¹]á_°e ( ) a Ø}‚¹]ÐÊ]çè ( ) Y J 4 I àè†içjÖ]ì…^fÂgjÒ_ X U æ Y U Üñ]‚Ö]Ý^¿ßÖ]»‡]ˆjâ÷]܉]…í^î×Âàè‚â^Ž¹] ì…]‚Ö]ke]çmíÖ÷‚eÔÖƒæ J 5 I îßvß¹]܉…àÚ^ßÓ³êÖaÝøÂcí饆eíŞ‰]çe ( ) i f t = ØÓŽÖ]»°f¹] I 2 J nÖ]l^éßvß¹]î×Â]^ÛjÂ] Hímø ÜéÎsjßj‰] àÚØÒ V I E ‚ÖçÛ×Öíéñ^e†ãÓÖ]íÒ†]ìçÏÖ] J I τ àÚˆÖ]ke^m ì…]‚×Ö J I L íéi]ƒ íÃéçÖ] J I l^Úæ^Ϲ] 2 1 , R R æ r J 6 I jÖ]‹ËÞ^Þ‚Â_ ^ãjéi]ƒæHí×ÛãÚ^ãjÚæ^ÏÚï†}_íÃéçeíÏe^ŠÖ]íÃéçÖ]¼ÏÊÙ]‚fj‰]ÄÚHíe†r 2 L L ′ = J ØnÚ ^éËéÒ ØÓŽÖ]á^éeÄÚ I 3 ‚è‚¢]á^éfÖ] ( ) i h t = J K E 2 R ( ) , L r 1 R ØÓŽÖ] I 1 ( ) Y ( ) X ( ) u V ( ) t ms 1 0 2 ( ) a ( ) b ØÓŽÖ] I 2 ( ) i mA ( ) t ms 1 0 10 ØÓŽÖ] I 3
  • 8. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 8 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 ( ) Z m ( ) X m 0 v α H 0 g {ØÓŽÖ] 4 { êÂ^ߪ‘]†ÛÎ š…ù] T R h {ØÓŽÖ] 05 { Ö]àè†ÛjÖ] Ö]àè†ÛjÖ] Ö]àè†ÛjÖ] Ö]àè†ÛjÖ] oÖ^n oÖ^n oÖ^n oÖ^n V V V V E 06 ½^ÏÞ D ØÒî×Â`Ş}æ_xév’egq_ x膒i x膒i x膒i x膒i ÔÖƒ]…Ú íf‰^ß¹]íéËéÓÖ^e V H¼Ş§Hh^ŠuHÌè†Ãi JJJ ] J 1 Ü¿jßÚjù]íé•…ù]íéeƒ^¢]ØÏu»Õ†vjiíËè„ÎjÃÞ{ J ^ãj×jÒíËè„ÎÐתßi m í¿v×Ö]‚ß 0 t = íŞÏßÖ]àÚ O Ü×ù]_‚fÚ ( ) 0, , i k íéñ]‚je÷]톊Ö]Å^ÍH 0 v íèæ]ˆÖ]Äß’è α ÐÊù]ÄÚ J {ØÓŽÖ] 4 { J î×Âëçj¬êÖçÎ^ïçjŠÚ»ÜjiíÒ†£] àè…ç] ( ) OX æ ( ) OZ J íéeƒ^¢]ØÏuÅ^ÍØÚ^u g ë‡]çèêÖçÎ^ …ç] ( ) OZ J ^é×éÖ^ÆåjÃÞê•…ù]êvŞŠÖ]Äq†¹] EJ ØÛãÞ ð]ç]m`i JD x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 1 V V V V Å…^ŠjÖ]Å^Í G a íËè„ÏÖ]íÖ^ŞÂˆÒ†¹ G íéñ]‚je÷]½æ†ŽÖ^eÐ×Ãjè÷ J x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 2 V V V V ÏŠÚ íÖ^ŞÃÖ]ˆÒ†Ú¼ G êÖçÎ^ŽÖ]…ç]î×ÂíËè„Ï×Ö ( ) OZ íÛ¿jßÚíÛéÏjŠÚíÒ†hæˆÚ J x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 3 V V V V íÖ^ŞÃÖ]ˆÒ†Ú…^ŠÚ G íèæ]ˆÖ]íÛéÎáçÓi^ÛãÚóÊ^ÓÚÄŞÎçâíËè„Ï×Ö α J 2 jÃÞ{ äj×jÒHíé•…ù]íéeƒ^¢]ìçÏÖÄ•^}êÂ^ߪ‘]†ÛÎ m Å^Ëi…]îׁçqçÚ h æˆÚHš…ù]xމàÚ ^ãj†‰íÛ¿jßÚíè†ñ]íÒ†h v J {ØÓŽÖ] 5 ^é×éÖ^ÆåjÃÞëˆÒ†ÚçéqÄq†¹]H{ J l^éŞÃ¹] l^éŞÃ¹] l^éŞÃ¹] l^éŞÃ¹] V V V V ŞÎÌ’Þ š…ù]† V 6380 T R Km = š…ù]í×jÒ V 24 5,98 10 T M Kg = × Ý^ÃÖ]h„¢]ke^m V 11 6,67 10 G SI − = × x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 4 V V V V Ý^ÃÖ]h„¢]ke^m G ì‚uçeäßÂÃè ( ) 2 m s − × J x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 5 V V V V Å…^ŠjÖ]Å^Í G a ëˆÒ†ÚáçÓè†ÛÏÖ]íÖ^ŞÂˆÒ†¹ J x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 6 V V V V íÎøÃÖ^eîŞÃi†ÛÏÖ]íÖ^ŞÂˆÒ†Ú톉 V ( ) T T GM v R h = + J x膒jÖ] x膒jÖ] x膒jÖ] x膒jÖ] 7 V V V V Å^Ëi…÷]‚ß 12800 h Km = êâêÂ^ߪ‘÷]†ÛÏÖ]…æíÛéÎH V 4 2,64 10 T s = × J
  • 9. ] ì^Ú»…^fj} V íéñ^èˆéËÖ]Ýç×ÃÖ] / ífÃŽÖ] V ê•^è…ÏjÖ]æl^é•^è†Ö] / íéf膟^è…çÖ^Óe 2017 ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ ‫ﺻﻔﺤﺔ‬ 9 ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ ‫ﻣﻦ‬ 9 CH3 - COO - CH2 - CH2- CH - CH3 CH3 ØÓŽÖ] I 6 êÞ^nÖ]ðˆ¢] êÞ^nÖ]ðˆ¢] êÞ^nÖ]ðˆ¢] êÞ^nÖ]ðˆ¢] V V V V E E E E 06 ½^ÏÞ ½^ÏÞ ½^ÏÞ ½^ÏÞ D D D D è†rjÖ]àè†ÛjÖ] è†rjÖ]àè†ÛjÖ] è†rjÖ]àè†ÛjÖ] è†rjÖ]àè†ÛjÖ] V V V V l^éŞÃ¹] l^éŞÃ¹] l^éŞÃ¹] l^éŞÃ¹] V V V V íéò舢]íéÖç¹]í×jÓÖ] V ( ) ( ) 2 18 / , 3-méthyle butyle 130 / M H O g mol M Ethanoate g mol = = íéÛr£]í×jÓÖ] V ( ) ( ) 2 1 / , 3-méthyle butyle 0,87 / H O g ml Ethanoate g ml ρ ρ = = ì…]†uíq…‚ß 0 25 C á‡]çjÖ]ke^m V ( ) 14 5 3 3 10 , K / 1,8 10 a Ke CH COOH CH COO − − − = = × Ö] gÒ†¹] ˆéÛjè ëç–à E l]çÞ^nèc 3 Øéiçe ØénéÚ { D » ív•çÚ íג˹] Ì’Þ íéò舢] äjÇé‘H‡ç¹] ívñ]†e ØÓŽÖ] I 6 Øe^Ϲ] H ^ÛruäßÚgè„ÞgÒ†¹]]„âíâ^Úcí‰]…‚Ö 15 E V ml = Ùç’v×Ö†ŞÏ¹]ð^¹]àÚíéÛÒ» äÛruê×Â^Ëi¼‰æî× 50 R V ml = J 1 ¼Â_{ Ö] íËé¾ç ëç–ÃÖ]gÒ†¹]]„ìˆéÛ¹] J 2 gjÒ_{ íց^ÃÚ t„Ûß¹]ØÂ^ËjÖ] Ö Ùçvj ]gÒ†¹]íâ^Úc ëç–ÃÖ E l]çÞ^nèc 3 ØéiçeØénéÚ{ D J æ °Ÿ^ßÖ]°fÒ†¹]܉ J 3 _{ K gŠu_ ‚je÷]ì^¹]íéÛÒ løÂ^ËjÛ×Öíéñ] J h K íâ^ÚcØÂ^ËiÝ‚ÏjÖ÷æ‚qˆ¨_ ëç–ÃÖ]gÒ†¹] J 4 { í¿v×Ö]‚ß 0 t = s船]ŇçÞ î× 10 j}]gée^Þ_ Üruî×ÂhçfÞ_ØÒëçj¬oéh…^f 5 V ml = H êñ^ÚÝ^·»gée^Þù]Ä–Þæ J ØÒ‚ßÂ í¿£ t ì†è^òÝçÏÞ »ØÓŽj¹]˜Û£] s×n¹]ð^¹^eå‚èi‚ÃehçfÞ_ØÒ e ç’Ö]Ùç×¦íŞ‰]ç ( ) ( ) ( ) , aq aq Na OH + − ˆéÒÖ]ëƒ 0,5 / b C mol l = e g‰^ßÚáç×Ú̍^ҁçqç E °Ö^jÊÙçßéËÖ] D J ˆÚ†Þ {e V be V Ür£ ç’Ö]Ùçצ ÓjÖ]íŞÏÞÉç×fÖÍ^–¹] öÊ^ J eíréjßÖ]‹ËÞ^ß×r‰†^ÃÖ]æĉ^jÖ]°eçfÞù]»äÞ_ÀuøÞ ç’Ö]ÙçצÜr£ífŠßÖ^ Í^–¹] êâæ 16,8 be V ml = J _ K ì†è^ù]ØÂ^ËjÖíq„Ûß¹]ØÂ^ËjÖ]íց^ÃÚgjÒ_ J h K Ãè]ƒ^Ú ç’Ö]ÙçצÜrul^fm †^ÃÖ]æĉ^jÖ]°eçfÞù]» J {q K I ì†è^ù]íé×ÛÃÖè†rjÖ]ÙçÒçiæÖ]|†ŽèêŞéޡ܉…¼Â_ J I öÊ^ÓjÖ]íŞÏÞ͆ ^é×ÛÂ^ãé×ÂÙ‚jŠÞÌéÒæ J I ì…^fÂsjßj‰] a n …^fj}÷]hçfÞ_»si^ßÖ]˜Û£]ì^ÚíéÛÒ ÝøÒíÖ÷‚e b C æ be V J  K ì…^fÂsjßj‰] a n′ àÚøÒíÖ÷‚eê×Â^ËjÖ]¼‰çÖ]»si^ßÖ]˜Û£]ì^ÚíéÛÒ b C æ be V J {â K êñ^ãßÖ]Ý‚ÏjÖ]ífŠÞgŠu_ f τ àÚÒ_êâ]ƒ^¹°eæ 33% J êÞ^nÖ]Åç•ç¹]îãjÞc êÞ^nÖ]Åç•ç¹]îãjÞc êÞ^nÖ]Åç•ç¹]îãjÞc êÞ^nÖ]Åç•ç¹]îãjÞc
  • 10. ¼éÏßjÖ]Ü׉æíéqƒçÛßÖ]íe^qý] Ùæù]Åç•çÛ×Ö ì^Ú…^fj}] V íéñ^èˆéËÖ]Ýç×ÃÖ] ê•^è…ífÃŽÖ] G ê•^è…Ïi íe^qý]†‘^ß ) Ùæù]Åç•ç¹] ( íÚøÃÖ] ì_ˆ¥ ÅçÛ] Ùæù]ðˆ{{{{{{{{{{{{{{¢] V Ùæù]àè†ÛjÖ] V ) 04 ½^ÏÞ ( 1 - ‫النووي‬ ‫التحول‬ ‫معادلة‬ : 210 206 4 84 2 ( ) z Po Pb He α → + ‫نجد‬ ‫صودي‬ ‫قانون‬ ‫بتطبيق‬ : { { 84 2 84 2 82 z Z = + ⇒ = − = ‫ومنه‬ : 210 206 4 84 82 2 ( ) Po Pb He α → + 2 - ‫لـ‬ ‫النووي‬ ‫الربط‬ ‫طاقة‬ ‫حساب‬ 210 Po ‫و‬ 206 Pb 2 ( ) . l E Po m C = ∆ 210 ( ) ( ) p n m Zm A Z m m Po ∆ = + − − 84 1,00728 126 1,00866 209,9368 =1,76588 u 1 931,5 m u Mev ∆ = × + × − → 210 ( ) 1,76588 931,5 1644,91 l E Po Mev = × = 206 2 ( ) . l E Pb m C = ∆ 82 1,00728 124 1,00866 205,92950 =1,74130 u m ∆ = × + × − 206 ( ) 1622,02 l E Pb Mev = ‫ب‬ - ‫استقرارا‬ ‫االكثر‬ ‫النواة‬ ‫ايجاد‬ ( ) 210 ( ) 7,83 / l E Po Me nuc n v A léo = ( ) 206 ( ) 7,87 / l E Pb Me nuc n v A léo = ‫أن‬ ‫بما‬ 210 206 ( ) ( ) l l E E Po Pb A A ‫نواة‬ ‫ھي‬ ‫استقرارا‬ ‫االكثر‬ ‫النواة‬ ‫فإن‬ 206 ( ) Pb 3 - ‫أ‬ - ‫االشعاعي‬ ‫التناقص‬ ‫قانون‬ ‫عبارة‬ 0 ( ) t N t N e λ − = ‫ب‬ - ‫الصحيح‬ ‫االقتراح‬ ‫اختيار‬ : ‫لدينا‬ 1/2 1/2 0 0 0 1/2 ln 2 4 0 1/2 ( ) ln 2 = = = 1 t=4t D t t t N N N t N N e t N e λ λ − − × = − −     −       ‫ومنه‬ : 0 15 16 D N N = ‫الصحيح‬ ‫االقتراح‬ ‫وھو‬ ‫جـ‬ - ‫العمر‬ ‫نصف‬ ‫زمن‬ 1/2 t : ‫األنوية‬ ‫من‬ ‫االبتدائية‬ ‫الكمية‬ ‫نصف‬ ‫لتفكك‬ ‫الالزم‬ ‫الزمن‬ ‫ھو‬ 0 1/2 ( ) 2 N N t = 0 1/2 ( ) 2 N N t = 0,5 0,5 0,5 0,25 0,5 0,5 0,5 0,5 1,5 02 ívË‘ 01 àÚ 10
  • 11. ‫لدينا‬ : 1/2 1/2 1/2 ln 2 . 0 ln 2 ln 2 . . 0 0 ( ) ( ) ( ) t t t t t t N t N e N N t e e N N t − − = = ⇒ = 0 ln . ( ) N at N t   =     ‫و‬ 0 1/2 ln 2 ln . ( ) N t N t t   =     ‫البيان‬ ‫معادلة‬ : - ‫حيث‬ a ‫نجد‬ ‫بالمطابقة‬ ‫موجب‬ ‫وھو‬ ‫البيان‬ ‫ميل‬ 1/2 ln 2 a t = ‫ومنه‬ : 1/2 138 t jours = êÞ^nÖ]àè†ÛjÖ] V ) 04 ½^ÏÞ ( 1 - ‫التيار‬ ‫جھة‬ : 2 - ‫عبارة‬ éq C ‫أن‬ ‫نعلم‬ 1 2 1 1 1 éq C C C = + ‫ومنه‬ : 1 2 1 2 éq C C C C C × = + 3 - ‫أ‬ - ‫التفاضلية‬ ‫المعادلة‬ : ‫نجد‬ ‫التوترات‬ ‫جمع‬ ‫قانون‬ ‫حسب‬ : 1 2 C R C U U U E + + = 1 1 1 2 2 2 1 1 1 2 2 2 q =q R U Ri q C U q C U C U U C = = = × ⇒ = 1 2 1 1 1 1 1 2 ( ) ( ) ( ) C R C U U U E C U t dU t U t RC E C dt + + = + + = ‫المعادلة‬ ‫تكون‬ ‫ومنه‬ : 1 1 1 ( ) ( ) éq dU t U t E dt RC RC + = ‫ب‬ - ‫التفاضلية‬ ‫المعادلة‬ ‫حل‬ : 1( ) (1 ) t U t A e α − = − ‫الحل‬ ‫نشتق‬ : 1( ) t dU t A e dt α α − = ‫التفاضلية‬ ‫المعادلة‬ ‫في‬ ‫ومشتقه‬ ‫الحل‬ ‫ونعوض‬ 1 1 1 ( ) 0 t t éq t t éq éq E A e A Ae RC RC A A E A e e RC RC RC α α α α α α − − − − + − = + − − = 1 1 1 1 1 1 = 0 ( ) 0 = 0 t t éq éq éq t t éq éq éq éq A E A A e A Ae RC RC RC RC A A E EC A E A e e A RC RC RC C RC RC α α α α α α α α − − − −  ⇐ − =  + − =   ⇐   + − − = ⇐ − =    0.5 0.5 0.5 0,5 0,25 0,25 0,5 0,5 01 1 C 2 C R K E i i UR UC1 UC2 ívË‘ 02 àÚ 10
  • 12. 4 ‫ـ‬ ‫أ‬ - ‫المنحنى‬ ) 1 ( ‫يمثل‬ 1( ) U t ‫المنحنى‬ ) 2 ( ‫يمثل‬ ( ) R U t ‫ألن‬ : ‫عند‬ 0 t = ‫يكون‬ 1 0 U = ‫و‬ R U ‫الشحن‬ ‫نھاية‬ ‫وعند‬ ‫أعظمي‬ 1 U ‫و‬ ‫أعظمي‬ R U =0 0 i ⇐ = ‫ب‬ - ‫من‬ ‫كل‬ ‫ايجاد‬ E , 0 I , τ ‫و‬ 2 C ‫عند‬ 0 t = 0 1 2 R U U U E + + = 0 12 R E U V = = ‫ولدينا‬ 0 0 3 0 0 . 4 10 R R U U R I I A R − = ⇒ = = × ‫ايجاد‬ τ : ‫لما‬ : t τ = ‫فإن‬ : 0 1 1 ( ) 0,63 E U U τ = = ‫ومنه‬ : 3 4 4 10 ms s τ − = = × ‫ايجاد‬ 1 C : -6 . = =1,33 10 éq éq R C C R τ τ = ⇒ × ‫ولدينا‬ : 1 . =8 éq E C A V C = 1 1 2 2 1 1 1 2 4 . éq C F C C C F E C C A µ µ  +  =   ⇒   =   =   oÖ^nÖ]àè†ÛjÖ] V E 06 ½^ÏÞ D ðˆ¢] I V 1 - ‫الشكل‬ ‫على‬ ‫الخارجية‬ ‫القوى‬ ‫تمثيل‬ : 2 - ‫الطاقة‬ ‫انحفاظ‬ ‫مبدا‬ ‫بتطبيق‬ : ‫الجملة‬ ) ‫جسم‬ + ‫أرض‬ ( ‫لحساب‬ ‫المرجعي‬ ‫المستوى‬ ‫بإختيار‬ ‫للنقطة‬ ‫االفقي‬ ‫المستوى‬ ‫في‬ ‫الموازي‬ ‫الثقالية‬ ‫الكامنة‬ ‫الطاقة‬ ppA E = 0 ‫لدينا‬ : ( ) cA ppA C pp E E W f E E + + = + ( ) C c A pp E E E W f = − − . C c A E E mgh f x = − − sin h x α = ‫ومنه‬ : ( sin ). C c A E E mg f x α = − + 3 - ‫التجريبية‬ ‫الدراسة‬ : ‫أ‬ - ‫السرعة‬ ‫قيمة‬ A v ‫البيان‬ ‫من‬ : ‫عند‬ 0 t = ‫لدينا‬ 2 1 2 C c A E E mv = = ‫ومنه‬ 2 210 7,07 / 0,4 C A A A E v v v m s m = ⇒ = ⇒ = ‫ب‬ - ‫االحتكاك‬ ‫قوة‬ ‫شدة‬ f : ‫عند‬ 0 C E = 0,25 0,25 0,5 0,25 0,25 0,5 0,5 0,5 0,5 0,5 02 0.5 0.5 1,25 ívË‘ 03 àÚ 10
  • 13. ‫الشكل‬ - 3 - ‫لدينا‬ sin f = c A E mgx x α − ‫ومنه‬ : 10 0,4 10 4 sin30 f =0,5 f = 4 x x x N − ⇐ ‫لما‬ ‫السرعة‬ ‫انعدام‬ ‫موضع‬ ‫ــ‬ 0 / 4 v m s x m = ⇒ = 1 - ‫أ‬ / ‫الجسم‬ ‫تسارع‬ ‫قيمة‬ ( ) s : ‫نجد‬ ‫لنيوتن‬ ‫الثاني‬ ‫القانون‬ ‫بتطبيق‬ : .......(1) ext F ma = ∑ P R f ma + + = ‫المحور‬ ‫على‬ ‫باإلسقاط‬ ( ) ox ‫نجد‬ : x P f ma − − = ‫ومنه‬ : sin a = - sin f mg f ma g m α α   − − = ⇒ +     2 0,5 a = - 10sin30 6,25 / 0,4 a m s   + ⇒ = −     ‫ب‬ / ‫الحركة‬ ‫طبيعة‬ : ‫لدينا‬ : a 0 v 0  ⇐   ‫بإنتظام‬ ‫متباطئة‬ ‫مستقيمة‬ ‫حركة‬ ‫الجزء‬ II : 1 - ‫أ‬ - ‫التفاضلية‬ ‫المعادلة‬ - ‫الجملة‬ ‫باختيار‬ ) ‫نابض‬ + ‫جسم‬ ( ‫نجد‬ ‫الطاقة‬ ‫انحفاظ‬ ‫مبدا‬ ‫بتطبيق‬ : te C pe E E E C = + = 2 2 1 1 2 2 te E mv Kx C = + = ‫نجد‬ ‫باالشتقاق‬ : . . 0 ...........(1) dE dv dx mv Kx dt dt dt = + = ‫في‬ ‫نعوض‬ ) 1 ( ‫نجد‬ : 2 2 0 dx K x m dt + = ‫الشكل‬ ‫من‬ ‫حلھا‬ ‫الثانية‬ ‫الدرجة‬ ‫من‬ ‫التفاضلية‬ ‫المعادلة‬ ‫وھي‬ : 0 0 ( ) cos( )...(2) x t X t ω ϕ = + ‫المتخامدة‬ ‫غير‬ ‫الحرة‬ ‫الميكانيكية‬ ‫االھتزازت‬ ‫تمثل‬ ‫ب‬ / ‫الذاتي‬ ‫الدور‬ 0 T - ‫الدور‬ ‫عبارة‬ : ‫ان‬ ‫نستنتج‬ ‫التفاضلية‬ ‫المعادلة‬ ‫في‬ ‫الحل‬ ‫بتعويض‬ : 0 2 m T K π = ‫الزمن‬ ‫مع‬ ‫التجانس‬ ‫ـ‬ : [ ] [ ] [ ][ ] [ ] [ ][ ][ ] [ ] [ ] [ ] 2 0 0 1 2 1 M M T T T F L M L T L − − − = = ⇒ = 2 - ‫التجريبية‬ ‫الدراسة‬ : ‫أ‬ - ‫من‬ ‫كل‬ ‫ايجاد‬ 0 X ‫و‬ K ‫العبارة‬ ‫باشتقاق‬ ) 2 ( ‫نجد‬ : 0 0 0 ( ) sin( ) dx v t X t dt ω ω ϕ = = − + ‫البيان‬ ‫من‬ : 0 4 0,157 0,628s T x = = ‫ومنه‬ : ( ) 2 2 2 0 4 40 .0,4 0,628 K m T π = = 40 ( / ) K N m = 0 0 0 2 2.3,14 10 10( / ) 0,628 rad s T π ω ω = = = ⇒ = 0,25 0,5 0,25 0,5 0,25 0,25 0,25 0,25 0,75 01 01 ívË‘ 04 àÚ 10
  • 14. ‫للسرعة‬ ‫األعظمية‬ ‫القيمة‬ : 0 0 0 0 0 0,5 X = 5 10 M M V V X X cm ω ω = ⇒ = ⇒ = ‫جـ‬ / ‫األصلي‬ ‫طوله‬ ‫النابض‬ ‫يسترجع‬ ‫التي‬ ‫اللحظات‬ ( ) 0 x = ) ‫عظمى‬ ‫السرعة‬ : ( 0 4 7 4 1,099s T t = = , 0 3 5 4 0,785s T t = = 0 2 3 4 0,471s T t = = 0 1 ,1 7 4 0 5 T t s = = 3 - ‫أ‬ - ‫الحركة‬ ‫معادلة‬ ‫ايجاد‬ ( ) x t ‫عند‬ 0 t = ‫لدينا‬ 0 0 (0) sin( ) 0 v X ω ϕ = − = ‫ومنه‬ sin( ) 0 ϕ = ⇐ 0 ϕ = - ‫من‬ ‫كل‬ ‫نعوض‬ 0 X ‫و‬ 0 ω ‫و‬ 0 ϕ = ‫المعادلة‬ ‫في‬ ) 2 ( ‫نجد‬ : ( ) 5cos(10 ) (cm) x t t = ‫ب‬ / ‫الجملة‬ ‫طاقة‬ ‫حساب‬ : [ ] [ ] 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 1 1 = 2 2 1 1 = cos( ) sin( ) 2 2 1 1 = . .cos ( ) . . .sin ( ) / K= . . 2 2 1 E . 2 pe c te E E E Kx mv K X t m X t K X t m X t m K X C ω ϕ ω ω ϕ ω ϕ ω ω ϕ ω = + + + + + + + + = = êÞ^nÖ]ðˆ{{{{¢] V è†rjÖ]àè†ÛjÖ] V ) 6 0 ½^ÏÞ ( 1 ‫ـ‬ ‫أساسي‬ ‫محلول‬ ‫خصائص‬ ‫دراسة‬ : ‫أ‬ - ‫التفاعل‬ ‫معادلة‬ : ( ) ( ) ( ) ( ) 2 3 aq l aq aq B H O BH H O + + + = + ‫ب‬ - ‫العالقة‬ ‫اثبات‬ : ‫نجد‬ ‫التقدم‬ ‫جدول‬ ‫من‬ : max 0 . ......(1) [ ] f f f OH OH x OH C x C BH τ τ − − − +           = = = ⇒ =   ‫لدينا‬ ‫بتعويض‬ ) 1 ( ‫في‬ ) 2 ( ‫نجد‬ : 2 2 . (1 ) e f e f a a f f K C OH K K K C OH τ τ − −     −     −   = ⇒ =     2 ‫ـأـ‬ ‫التقدم‬ ‫نسبة‬ ‫حساب‬ : 1 1 14 14 1 2 [OH ] 10 [OH ] 10 0,04 ; 0,001 pH pH f f C C C C τ τ − − − − = = = = = = - ‫ألن‬ ‫ضعيفان‬ ‫االساسان‬ ( ) 1 f τ ‫ب‬ ‫ـ‬ - ‫من‬ ‫كل‬ ‫قيمة‬ ‫حساب‬ 1 a K ‫و‬ 2 a K : ( ) -10 1 2 -10 4 3 (1 ) =6,06.10 pKa( / )=-log 6.10 =9,21 e f a f K K C NH NH τ τ + − = ⇒ ( ) 2 2 2 -8 -7 3 2 2 (1 ) = 10 pKa( / )=-log 9,9.10 =8 f e a f K K NH OH NH OH C τ τ + − = ⇒ ‫ومنه‬ : ‫أمين‬ ‫الھيدروكسيل‬ ‫من‬ ‫أقوى‬ ‫أساس‬ ‫النشادر‬ 0,5 0,5 0,5 0,25 0,5 0,25 0,25 0,25 0,25 01 0,75 01 ívË‘ 05 àÚ 10
  • 15. 1 - 2 - ‫الھيدروجين‬ ‫كلور‬ ‫محلول‬ ‫تحضير‬ : ‫حساب‬ 0 C 0 0 10 . 10 371,15 11.65 / 37 P d C C mol l M × = = ⇒ = ‫أـ‬ ‫التجاري‬ ‫المحلول‬ ‫حجم‬ : 0 0 0 0 0 0,015 V = . = .1 V =1,3 ml 11,6 a a a a C V C F V C V C = = ⇒ ⇒ ‫ـ‬ ‫ب‬ ‫التجريبي‬ ‫البروتوكول‬ : - ‫سعتھا‬ ‫عيارية‬ ‫حوجلة‬ ‫نأخذ‬ (1L) ‫ناخذ‬ ‫ثم‬ ‫المقطر‬ ‫الماء‬ ‫من‬ ‫قليلة‬ ‫كمية‬ ‫فيھا‬ ‫نضع‬ ‫كمية‬ (1,3mL) ‫المحلول‬ ‫من‬ S0 ‫بواسطة‬ ) ‫ماصة‬ + ‫مص‬ ‫اجاصة‬ ( ‫الحوجلة‬ ‫في‬ ‫نسكبھا‬ ‫العيار‬ ‫خط‬ ‫حتى‬ ‫المقطر‬ ‫بالماء‬ ‫نكمل‬ ‫وبعدھا‬ ‫جيدا‬ ‫نخلط‬ ‫ثم‬ (1L) 3 ‫ـ‬ ‫حمض‬ ‫المعايرة‬ – ‫للنشادر‬ ‫مخفف‬ ‫لمحلول‬ ‫أساس‬ 1 - ‫أ‬ / ‫للمعايرة‬ ‫تخطيطي‬ ‫رسم‬ : ‫ب‬ - ‫المعايرة‬ ‫تفاعل‬ ‫معادلة‬ : 3 3 4 2 NH H O NH H O + + + = + 2 - ‫المعايرة‬ ‫لتفاعل‬ ‫التقدم‬ ‫نسبة‬ ‫اضافة‬ ‫عند‬ 5 a V ml = ‫يكون‬ 9,6 pH = ‫التكافؤ‬ ‫نقطة‬ ‫قبل‬ ‫ونكون‬ -5 max max 0,015 0,005 x =7,5.10 a a x C V X mol = = ⇒ 3 0 f 0 . x = 10 . pH T f T H O V n x n V + −   = − ⇒ −   5 9.6 5 f x =7,5.10 10 .0,025 7,49.10 f x mol − − − − ⇒ = 5 5 max 7,49.10 1 7,5.10 f f x x τ − − = = = - ‫تام‬ ‫تفاعل‬ ‫المعايرة‬ ‫تفاعل‬ ‫أن‬ ‫نستنتج‬ 3 - ‫التكافؤ‬ ‫نقطة‬ ‫احداثيي‬ - ‫نجد‬ ‫البيان‬ ‫من‬ ( 16 ; 5,8) aE E E V ml pH = = ‫التراكيز‬ ‫استنتاج‬ ‫التكافؤ‬ ‫عالقة‬ ‫من‬ : . 0,015.16 '. . C'= 20 ' 0,012 / a aE b a aE b C V C V C V V C mol l = ⇒ = = ‫ولدينا‬ b ' C =1000.C' 12 / 1000 b b C C C mol l = ⇒ ⇒ = 4 - ‫من‬ ‫التأكد‬ a pK ‫سابقا‬ ‫المحسوبة‬ : ‫التكافؤ‬ ‫نصف‬ ‫عند‬ 2 aE V V   =     ‫نجد‬ : 9,2 a pH pK = = ‫ھو‬ ‫لما‬ ‫موافقة‬ ‫وھي‬ ‫سابقا‬ ‫محسوب‬ 5 - ‫ھو‬ ‫المعايرة‬ ‫لھذه‬ ‫المناسب‬ ‫الملون‬ ‫الكاشف‬ : ‫الكلوروفينول‬ ‫أحمر‬ ‫يشمل‬ ‫اللوني‬ ‫تغيره‬ ‫مجال‬ ‫الن‬ 5,8 E pH = 0,5 0,5 0,5 0,5 0,25 0,25 0,25 0,25 0,25 0,5 0,5 0,5 01 0,75 0,5 0,5 0,5 0,5 ívË‘ 06 àÚ 10
  • 16. ¼éÏßjÖ]Ü׉æíéqƒçÛßÖ]íe^qý] êÞ^nÖ]Åç•çÛ×Ö ì^Ú…^fj}] V ËÖ]Ýç×ÃÖ] ífÃŽÖ]íéñ^èˆé V ê•^è…Ïiæl^é•^è… íe^qý]†‘^ß ) Åç•ç¹] êÞ^nÖ] ( íÚøÃÖ] ì_ˆ¥ ÅçÛ] Ùæù]ðˆ{{{{{{{{{{{{{{¢] V Ùæù]àè†ÛjÖ] V ) 04 ½^ÏÞ ( 1 íÛéÎh^Šu{ lg A E íèçߊÖ] V ÝçéÖ] 0,06 4 3600 864 / E J = × × = 3 3 6 3 lg 864 8.10 2381741.10 A E J m E m − = → → äßÚæ V ÝçéÖ] 17 lg 2,57.10 / A E J = áƒc V 19 lg 9,38.10 A E J = ğ^èç߉ 2 ğ^éÚçèð^¹]Üruh^Šu{ V í×Û¢] ) ð^Ú G š…ù] ( oéu V ) 0 PP E = Å^Ëi…ý]‚ß 0 h = ( ^ßè‚Ö V . mV ρ = æ 15 . . 4,69 10 PP E m g h m kg = ⇒ = × áƒc V 9 3 4,69 10 V m = × ^éÚçè ⇒ 12 3 4,69 10 V m = × ^èç߉ 3 ëæçßÖ]t^Ú‚Þý]{_{ V …]†Ïj‰]ØÎ_æ°jËéË}°i]çßÖt^Ú‚ÞcäéÊp‚¬ØÃjËÚëæçÞØÂ^Ëiçâ …]†Ïj‰c†nÒ_ì]çÞî×ÂÙç’v×Ö áæéßÖp^ÃfÞcæíÎ^†è†€ÄÚ J íց^ù]{ V 2 3 4 1 1 1 2 0 H H He n + → + ¼e†Ö]íÎ^h^Šu{h ( ) A L Z E X A íèçÞØÓÖ V ^ßè‚Ö V ( ) ( ) ( ) 2 . . . A A L Z p n Z E X Z m A Z m m X C   = + − −   äé×Âæ V ( ) ( ) 2 1 2 1 2,228 1,113 / L L E H E H Mev Mev nuclèon A = ⇒ = ( ) ( ) 3 1 3 1 2,228 2,825 / L L E H E H Mev Mev nuclèon A = ⇒ = ( ) 4 2 7,07 / L E He Mev nuclèon A = áƒc V ì]çßÖ] êâ…]†Ïj‰c†nÒù] V 4 2 He ì…†]íÎ^ŞÖ]h^Šu{q Lib E V ( ) ( ) ( ) ( ) 2 3 4 1 1 2 17,5877 Lib Lib Lib Lib E E H E H E H Mev = + − = ‹ÛŽÖ]í×jÒ»“ÏßÖ]{ lg A m ∆ V ^ßè‚Ö V 29 3,135.10 m kg − ∆ = ⇒ 27 0,0188 0,0188 1,66.10 931,5 Lib E m kg µ − ∆ = = = × áƒc V 3 1,042.10 m kg ∆ = ğ^èç߉ 19 2 lg 3,98.10 . A E J m C = = ∆ ⇒ h^Šu{{{â m ∆ V 9 17 6.10 365 24 3600 1,89.10 M kg ∆ = × × × = äßÚæ V 15 5,50.10 m R M − ∆ = = ∆ íÎ^ŞÖ]ác lg A E ‹ÛŽÖ]»t^Ú‚Þý]ØÂ^ËiàÚì…†]íÎ^ŞÖ]…]‚ÏÚÄÚíÞ…^ÏÚğ]‚qÇ‘…]‚ÏÚ J 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 05 0,5 03 ívË‘ 07 àÚ 10
  • 17. àè†ÛjÖ] êÞ^nÖ] V ) 04 íŞÏÞ ( 1 …ˆÖ]î×¼ǖÖ^eù]Ø}‚¹]{ INV çâ Y êÚæù]ØÎ^ßÖ]»†°e†içjÖ]áù ( ) ( ) 2 0 R u t 2 íéו^ËjÖ]íց^ù]{_{ V ( ) ( ) ( ) ( ) 1 2 . R R di t u t u t r i t L E dt + + + = äé×Âæ V ( ) ( ) èq R di t E i t dt L L + = oéu V 1 2 èq R R R r = + + ì…^fÂ{h 0 I Üñ]‚Ö]Ý^¿ßÖ]» V 0 1 2 èq E E I R R r R = = + + 3 îßvß¹]{ ( ) a Ø}‚¹]ÐÊ]çè ( ) y áù V í¿v×Ö]‚ß 0 t = áçÓè ( ) 0 0 i t = = V äßÚæ ( ) ( ) 1 1 0 . 0 0 R u t R i t = = = = …^éjÖ]삍lçfm^Ú‚ßÂæH ) Üñ]‚Ö]Ý^¿ßÖ]» ( áçÓè V 1 1 0 . MAX R u R I = íéÛ¿Â_ J 4 ì…^fÂ{ X u æ Y u Üñ]‚Ö]Ý^¿ßÖ]» V ( ) 2 0 . X u R r I = + æ 1 0 . Y u R I = J 5 ÜéÎ{ 2 1 ; ; ; ; ; r R R L E τ V Üñ]‚Ö]Ý^¿ßÖ]»{ V 12 X Y E u u V = + = á^éfÖ]àÚ{ ( ) a V ( ) 1 10 0,63. 1,1 R R u t u ms τ τ = = ⇒ = ^ßè‚Ö{ V 0 12 240 0,05 èq E R I = = = Ω äßÚæ V . 264 èq L R mH τ = = ^ßè‚Ö{ V 10 1 2 0 100 R u R R I = = = Ω äßÚæ V ( ) 1 2 40 èq r R R R = − + = Ω 6 îßvß¹]{ ( ) i h t = V ^ßè‚Ö V 2. 2. 2,2 L L mH τ τ ′ ′ = ⇒ = = 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,5 0,25 0,5 0,25 0,5 0,25 01,75 0,75 oÖ^nÖ]àè†ÛjÖ] V ) 06 íŞÏÞ ( 1 x膒jÖ]{_{ 01 V ÜÃÞ êÖ^ŞÃÖ]Äq†¹]{ V ê•…_êvŞŠÖ]Äq†¹] J í‰æ…‚¹]í×Û¢]{ V íËè„ÏÖ] J í‰æ…‚¹]í×Û¢]î×ÂíÏf޹]íéq…^¤]ïçÏÖ]{ V P ØÏnÖ]ìçÎêâ J áçÞ^ÏÖ]ÐéfŞje{ ‚¨àiçéßÖêÞ^nÖ] V . . ext F m a P m a = ⇒ = ∑ ‚¨íÒ†v×Öäqç¹]…ç¦î×½^ωý^e V a g = 0,25 0,25 0,25 0,25 01 ívË‘ 08 àÚ 10 0 1 ( ) t ms 10 ( ) i mA ( ) i h t = ( ) i f t =
  • 18. x膒jÖ]{h 02 V ÷ …ç]î×ÂíÏe^ŠÖ]íÎøÃÖ]½^ωý^e ( ) OZ ‚¨ V 0 ste G a g C = − = íÒ†£]íÃéfêÖ^jÖ^eæ Ý^¿jÞdeìÇjÚíÛéÏjŠÚ J x膒jÖ]{{q 03 V ÜÃÞ ^¹íéñ]‚jeý]½æ†ŽÖ]^ßè‚Ö 0 t = V ( ) 0 0 0 0 0 .cos 0 .sin x y v v v t v v α α =  =  =  æ ( ) ( ) ( ) 0 0 0 0 0 0 0 x t x r t z t z = = =   = =  = = =   ( ) ( ) ( ) ( ) ( ) ( ) 0 0 2 0 2 .cos . ................. 1 .cos 0 1 . .sin . . .sin . ... 2 2 x x z z x t v t v t v a a a g v t g t v z t g t v t α α α α =  =  =    = ⇒ ⇒    = − = − + = − +      íÎøÃÖ]àÚ ( ) 1 ‚¨ V ( ) 0 ... 3 .cos x t v β = íÎøÃÖ]»˜èçÃjÖ^e ( ) 2 ‚¨ V 2 2 2 0 . tan . 2. .cos g z x x v α α = − + óÊ^ÓÚÄŞÎíց^ÃÚêâæ 2 { x膒jÖ]{_ 04 V ÷ ^ßè‚Ö V 2 2 . . . L T T L L T m M F r F G G r m M = ⇒ = äßÚæ V [ ] [ ] [ ] [ ] [ ] [ ] 2 2 2 . . . M L T L G M − = äé×Âæ V [ ] [ ] [ ] [ ] 3 1 2 . . G L M T − − = áƒc V ì‚uæ G êâ V 3 1 2 . . m kg s − − x膒jÖ]{h 05 V ÜÃÞ êÖ^ŞÃÖ]Äq†¹]{ V ëˆÒ†Úçéé¢]Äq†¹] J í‰æ…‚¹]í×Û¢]{ V êÂ^ߪ‘ý]†ÛÏÖ] J í×Û¢]î×ÂíÏf޹]íéq…^¤]ìçÏÖ]{ V T L F J oéu V T L F †ÛÏÖ]îך…ù]m^iìçÎêâ ) íèˆÒ†ÚìçÎ ( Å…^ŠjÖ]Å^Íæ n G a a = ëˆÒ†ÚáçÓè áù V ( ) 0 t a = x膒jÖ]{{q 06 V ÜÃÞ Ü¾^ßÖ]î×ÂíÏe^ŠÖ]íÎøÃÖ]½^ωde ( ) N N ′ ‚¨ V ( ) ( ) 2 2 . . . . L T L T L n L T T m M m v F m a G R h R h = ⇒ = + + äßÚæ V ( ) . T T G M v R h = + x膒jÖ]{ 07 V ÜÃÞ ë…]‚¹]…æ‚Ö]ì…^fÂ^ßè‚Ö V ( ) ( ) 3 2 . 2 . . T T T R h R h T v G M π π + + = = äßÚæ V ( ) 3 3 3 4 11 24 6380.10 12800.10 2 . 2,64.10 6,67.10 .5,98.10 T s π − + = = 0,25 0,25 0,5 0,25 0,5 0,5 0,25 0,25 0,25 0,25 0,5 0,5 0,25 0,25 0,5 01 01 01 01 0,5 ívË‘ 09 àÚ 10
  • 19. êÞ^nÖ]ðˆ¢] V è†rjÖ]àè†ÛjÖ] ) 06 íŞÏÞ ( 1 íè‰_êâëç–ÃÖ]gÒ†¹]]„ˆéÛ¹]íËé¾çÖ]{ ) ‰_ ( : COO − − 2 { ØÂ^ËjÖ]íց^ÃÚ{_ V G 2 3 H O CH COOH = G 3 CH COOH V ëç–˜· ) ÔèçÞ^nèý]˜· ( ë…^rjÖ]ä] V ؤ]˜· V êÖæ_ÙçvÒ ) 3 ÙçÞ^içeØénÚ{ ( 3 løÂ^ËjÛ×Öíéñ]‚jeý]ì^¹]íéÛÒh^Šu{_{ V Ý‚ÏjÖ]Ùæ‚q{h V . 0,1 . 1,94 este estre eau eau V m n mol M M V m n mol M M ρ ρ  = = =    ′ ′  = = =  ′ ′  4 ì†è^ù]íց^ÃÚíe^jÒ{_{ V ( ) ( ) ( ) ( ) 2 aq aq aq RCOOH HO RCOO H O − − + → + ℓ á‡]çjÖ]ke^m{h V [ ] 3 3 . . a f f rf e f f f RCOO H O k K Q k RCOOH HO H O − + − +         = = =         äßÚæ V 9 4 1,8.10 10 a K = Ý^iì†è^ù]ØÂ^Ëiäé×Âæ J Ür£]l^fm{{q ) öÊ^ÓjÖ]Üru ( íéñ^ãßÖ]íÖ^£]±cÙç‘çÖ]Ãè ) á‡]çjÖ]íÖ^u ( öÊ^ÓjÖ]íŞÏÞ{ V íèÚçéÒçjŠÖ]½æ†ŽÖ]»s船]áçÓèÖ]íŞÏßÖ]êâ ) ^ãéÊáçÓiæ_ ì^¹]íéÛÒ íèÚçéÒçj‰gŠßÖ^eløÂ^ËjÛ×Ö ( . ğ^é×ÛÂs船]áçÖÇje^ãé×ÂÙ÷‚j‰÷]àÓµæ J h^Šu a n áçÓèöÊ^Ói‚ßÂíŸ^ßÖ]˜Ûv×Öì^ÚíéÛÒ ) ‚u]æhçfÞ_» ( : . . a a a b bE n C V C V = = xf’iê×Â^ËjÖ]s船]»{{â V 10. . 0,084 a b bE n C V mol ′ = = h^Šu{æ êñ^ãßÖ]Ý‚ÏjÖ]ífŠÞ f τ V max 0,084 0,84 0,1 f f x x τ = = = äé×Âæ V 0 0 .100 84 f r τ = = áƒc V 0 0 84 r = àÂÌ×j− 0 0 33 r = ) êñ]‚je]sèˆÚíÖ^u»íâ^Úý]æ†ÚØn³Ö]æ ì^¹]íéÛÒ»óÊ^ÓjÚ ( . { äé×Âæ °Š€àÓµ æ†¹] ì^¹]íéÛÒ»óÊ^ÓjÚÆsèˆÚÙ^ÛÃj‰de J êÞ^nÖ]Åç•ç¹]xév’iîãjÞc 2 R COO R H O RCOOH R OH ′ ′ − − + = + ØÂ^ËjÖ]íց^ÃÚ {eì^¹]l^éÛÒ mol Ý‚ÏjÖ] íÖ^£] 0 0 1,94 0,1 0 x = íéñ]‚jeý] ( ) x t ( ) x t ( ) 1,94 x t − ( ) 0,1 x t − ( ) x t íéÖ^ÏjÞý] f x f x 1,94 f x − 0,1 f x − f x íéñ^ãßÖ] 0,25 0,75 0,25 0,25 0,25 0,25 0,5 0,5 0,5 0,25 0,25 0,5 0,5 0,5 0,5 0,25 0,75 0,5 0,5 0,5 03,5 ívË‘ 10 àÚ 10 CH3 C O O CH2 CH2 CH CH3 CH3 3 CH3 CH CH3 CH2 CH2 OH CH3 CH CH3 CH2 CH2 OH