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0.5

1

0.5

0.5 11

0.51

0.50.5

:2

-1-

-1-R1R2C

GLX

U

C .:R1=5 K-I:

K1t=0R1-2-.

1.UC.

2.:t

CU Ae B

.BA.

3.B.

4.C. 5.i(t)t=4ms.6." "(Temps de monte )t10%

90%.:t=.Ln(9).-II

k2t=0R2.-3-.

1.UC.2.UC= E.e

-mtmR2C.3.R2.4.t=2ms.

0 2 4 6 8 10

2

4

6

8

t(ms)

UC(V)0 2 4 6 8 10

2

4

6

8

t(ms)

UC(V)-2-

-3-

VE I0

R1

K1

2

R2UCE

UR

-1-

I)7(

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.ClCH2CO2H.

C=5.10-2mol.L-1.25:=0,3 S.m-1.

1..2.).AHA-.(3.[H3O

+]:(H3O

+)(A

-).: .

(H3O+) = 35. 10

-3S.m

2.mol

-1; (A

-) = 4.10

-3S.m

2.mol

-1

4..5.pH.6.KAH.

7.C2=1,8.10-2

mol.L-1

. pH:pH=2,37.2.

.K2..K

.

:a1 = 1,6.1012

Bq.1.137CsX)(.

2.E.

3.

137Cs

ans

-1

s

-1.

(1ans=365jours)4.137Cst=0.:NA=6,02 10

23mol

-1.

5.:( )( ) dN ta tdt

.:a(t) = .N(t).

N(t)t.

6.a0t=0.

7.a1.

1

1.5

10.5

0.5

0.5

1

II)6(

)7(

0.511

10.51

0.51

0.5

:137

Cs

:137g.mol-1

t1/2:30 ans

:-.

(t=0):m0=2g

13755Cs136,87692 u

X136,87511 u

-0,00055 u1u= 931,5 MeV.c-2

I Xe Cs Ba La

Z=53 Z=54 Z=55 Z=56 Z=57

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1.

I

I-:1.:

1

1 1

R C

C

C C

E U U

dU

E R i U R C Udt

2.:t

CU Ae B

C

tdU

dt

Ae

:

1

1(1 )

1

t t

t

C

C

AE Ae B R e

E B Ae R

:

1 1(1 )

01

0C C

E B B E

R R

A:t=0:UC(t=0)=0

:0( 0) 0

Ct B

A B E

U Ae

:

1(1 )

t

C R CU E e

3.:B=E=8V=2ms.4.:

1

1

74.10 0.4

R C CR

C F F

5.:( ) .Ct

dUi t C

dt

EC e

:

1

1

( )

( )

.

t

t

i t R C

i tR

E

C e

Ee

t=4ms:43

42( ) 2,16.10

5.10

8 msmsi t Ae

6.t1UC:10%Et2UC:90%E: .

1 1

2 2

1

2

( ) 100

( )100

10

(1 ) 1 0,1

90(1 ) 1 0,9

t t

C

t t

C

t

t

E

U E e e

EU E e e

:

1

2

11

22

(0,9) (0,9)

(0,1) (0,1)

0,9

0,1

t

t

tLn t Ln

tLn t Ln

e

e

:t= t2-t1:(0,1) (0,9)

0,9( (0,9) (0,1)) ( )

0,1

(9)

t Ln Ln

t Ln Ln Ln

t Ln

II-:1.:

2

2

0

0

R C

CC

U U

dUR C Udt

2.:mtCU EeC mt

dUEm

dte

:

2

2

0

(1 ) 0

mt mt

mt

Cm

Cm

Ee R e

Ee R

:21 0CmR :

2 2

1 1m

CR

3.:2=4ms.:2 2R C :

22 10R k

C

4.t=2msUC=4,8 V: .

2 7 2

6

1 1.4.10 .4,8

2 2

4,60.10

CCU

1.137 137 055 56 1Cs Ba e 2.:

137 137 2

3 2 2

( ( ) ( ) ( )).

1,26.10 931.5 . .

1,174

E m Ba m e m Cs c

u Mev c c

E Mev

3.:

12

(2) (2)

30

Ln Ln

t :

2 12,31.10 ans

10 1(2) 7,327.1030 365 24 3600

Lns

I

2

920132012

II

J

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4.:23 21

0 0

2.6,02.10 8,79.10

137A

mN N N

M

5.:0

( ) tN t N e :0. . ( )tdN dN N e N t

dt dt

:( )dN

a tdt

:( ) . ( )a t N t

6.:( ) . ( )a t N t

:0 0.a N

:

10 21 12

0 7,327.10 8.79.10 6, 44.10a Bq

7.:0( )ta t a e :

0

( ) ta t ea

:

120

120

12

0

9

( ) 6,44.10( ) ( ) ( )

( ) ( ) 1,6.10( ) . .30

(2) (2)

60,27 1,9.10

a t aLn Ln Ln

aa t a tLn t t t t ans

a Ln Ln

t ans s

1.2 2 2 3 2 2aq aq aqClCH CO H H O H O ClCH CO

2.

3.:

3 3

. .f H O A

H O A: 3

fxH O AV

: 33 ( )f H O AH O:

3

3 ( )f

H O A

H O: . .

3 33 3

0,3. 7,692 .

(35 4).10H O mol m mol m :

3 33 7,692.10 .H O mol L

4.:

3 3 3

max

( ) [ ]. [ ]fx n H O H O v H O

x CV CV C :

3

2

7,692.100.154

5.10.: 1.

5.: 3 2,11pH Log H O

6.:

:

3

,r qH O Ak Q

AH: 3H O A

3fCV xAH C H O

V:

2

3

3

H Ok

C H O: .3k 1,39.10

7.-:

3 22max 2 2

[ ] 100.23

pHfx H O

x C C

-

2

3

2

3

H Ok

C H O:

2.373

2 2 2.37

101,32.10

1,8.10 10k

- 1 22k kk

.

2 3aq aq aqAH H O H O A

00n0=CV0

xxn0-.xxt

xfxfn0-.xfxf