Page 1

C0

S0

C0

n0 ( RCOOH ) V0

m0 ( RCOOH ) M ( RCOOH )

n0 ( RCOOH ) C0

S0

m0 ( RCOOH ) V0 M ( RCOOH )

n0 ( RCOOH )

200.10 3 C0 100.10 3 206 C0 9,7.10 3 molL 1

RCOOH ( aq )

H 2O()  RCOO

H 3O

( aq )

( aq )

C0V0 C0V0

x

xf

C0V0

x

x

xf

xf

xf x max n (H 3O ) x

f

H 3O xf V0

10

PH

10

H 3O

xf

V 0 .10

PH

n H 3O V0 PH

x

xf


C 0V 0

x max

10 PH C0 10 3,17 9, 7.10 3 0,07 1 Qr

Qr

H 3O

RCOO

RCOOH x max

H 3O

Qr

RCOOH

x

H 3O

RCOO

eq

RCOO

éq

eq

eq

x éq

xeq eq

Qr

V0

n H 3O

V0

neq RCOO

xéq

H 3O

eq

C0

RCOO neq RCOOH

RCOOH

éq

C0

H 3O

C0V0 éq

H 3O

eq

.C0

eq

xeq

H 3O

xéq eq

RCOOH

V0

RCOOH RCOOH

éq éq

C0

V

C0

C0 (1

)

2

Q r ,éq

C 02 C 0 (1 )

xeq

C0

eq

Qr ,éq 2

C0 (1 ) x max C 0V 0 x max C0 V0

Q r ,éq

Q r ,éq

x max. 2 V 0 (1 ) K

K

Qr ,éq

C0

0


x max C 0V 0 K K

x max . 2 V 0 (1 )

K

C0 . 2 (1 ) 9, 7.10

C0 .V0 . 2 V0 (1 )

K 3

(0, 07) 2 0, 07

5.10 5

K

RCOOH (aq) HO (aq)  RCOO ( aq) H 2O  VB

HO

ni HO

1,8.10 3 mol

ni HO

-3

-

-

CB .VB

n ( H O )= 1,8 10 mol : n i ( HO ) = 3,0.10-2 60,0.10-3 RCOOH m RCOOH ni ( RCOOH ) M ( RCOOH ) ni ( RCOOH ) 9,7.10 4 mol

ni ( RCOOH )  ni HO ni HO

RCOOH H3O

n( H 3O )

HO ni HO

HO ni HO

1, 0.10 2.27, 7.10

ni HO

3ni HO

n2 HO n HO

ni HO

n2 HO

VB

HO

8,31.10 4 mol

n2 HO

RCOOH

3 2, 77.10

HO n HO

1,8.10

n HO n( RCOOH ) n HO

3

8,31.10

4

9, 7.10 4 mol

9, 7.10 4 mol

m M ( RCOOH ) n (RCOOH ).M (RCOOH ) m 9, 7.10 4.206 m 0,1998g m 200mg

ni ( RCOOH )

m

3

2, 77.10 4 mol

ni HO

n2 HO

C A .VAE

4


----------------

– 24 11

24 11

Na

A Z

Mg

A=0 Z = -1

X -

Z = 11+12 0 1X

ln 2 t1

ln 2 15 3600

2

1, 28.10 .t1

3h

n0

24 11

5

n1

Na

Na

t0

0

-

Na N A

t0

0

-

24 11

C0 .V0 N0

24 11

n0

N0

N1

N1

n1

N 0e

24 11

C0V0 .Na

24 11

n0 t1

Na .N A

Na -

3h

t1

t1 ln 2

n1

n1

24 11

24 11

Na

Na

C 0V . 0 .e

t t1/ 2 1

ni

6

4.35.10 mol

n1

24 11

Na .N A

24 11

Na

C 0V . 0 .N Ae

10

ln2 3 15 .3 .5.10 e

3

t1

a1

n1

24 11

Na .N A

a1 1, 28.10 a1

5

4,35.10

a1 6

.N 1

6,02.1023

3,35.1013 Bq Vp V '1

V1

5L V '1 V1 VP

C1

n2 V2

n1 V1

V1

5L

t1

V1 VP n2

n1.V2

t1

n2 V2

n1 V1 VP


n2VP

VP

n1V2 n2V1 n2V1 n1V2 n2 9

5 2,1.10

VP

VP

0,857 L

VP

857mL

n2V1.n2VP n2VP

n1.V

n2V1 n1V2

4,35 2.10 2,1.10 9

3

10

6

– I u c (t )

E uR

uR

RC

i C

E 1 uC RC

uc

R.i

duc dt

duC dt

uR

RC

duc dt

duC dt

q

C.uc

i

dq dt

uR

uC

E u c (t ) RC uC (t ) E (1 e t / )

u C (t ) d E (1 e t / ) dt E t/ E e RC E E e RC E E e t/ RC

E e t/ RC E e t/ RC E t/ RC 0

E RC E RC E RC


E

t 0

E RC

R.C

u C (t )

0

E RC C R

E RC R

U

R . I

U

R.I U

R

C q U I .t C I .t U C I .t U C

q

C

I

I .t U

R .C

I

I .t

I

U

t t

C 100 F t=0

C -

u c (t )

uC

E

uC 1s

12V

-

C

RC C

C 100 F Ee

R

1 C 10.103 C 10 4 F

1 CU C2 2 E 12V

uC

E

1 CE 2 2 1 Ee .10 4.(12)2 2 Ee 7, 2.10 3 J

Ee


ln

uC 360

t

uC

'

II r 360e t / '

t u ln c 360 ' r. t r u C ln C 360 3 2.10 132, 45 10 4 ln 360 r 20 '

r

5rC

5 ' r

 R(O, i, j )

I G0

 F ext

y(t) x(t)

 maG

 P


  P maG

mg maG   aG g

ax

dVx dt

 (O, i) 0

0

x C2

xA  x(t ) V0t x A (O, i) x(t ) 50t 450 (m)

ay

g

gx

gx

0

dVx ax dt Vx C1 Vx V0 C1 V0 dx V0 dt V0t C2 x(t 0) x A

0

t

ax

t=0

 (O , j ) gy

g

ay

gy

dVy

Vy Vy (t

gt C3 0) C3

g dt Vy (t 0) C3

t=0

C3

y 1/ 2 gt 2 C4 y (t

y

ay

dt dVy

0)

0 Vy

gt dy dy gt dt dt yA 0 t=0 C4 0

 1 2 gt (O , j ) 2 y 5t 2 yT

H

t

9s

t

G0

y(t)

x(t)

G0 x(t )

50t 450

405 5


t x(t ) 450 y 5 50

2

x 2 202500 900 x 5 2500 y

x(t ) 450 50

y(t)

2.10 3 x 2 1,8 x 405

t

(m)

II

 R(O, i, j )

G1

 P f  F ext   P mg

 f

 100v

 aG

  P f

dv dt

 maG

 maG

 dv m dt    mg. j 100vj

  m g 100v

dv dt dv 1500 100v 150 dt mg 100v

dv 2 10 v dt 3

 R(O, i, j )

G1

V lim

V lim

15.m .s

 dv  m j dt

1

v = cte

m


dv dt

0

V = f(t)

v 15m.s

1

v V lim

t=0

1,5s

7,5s

5 a4

V4

dvi 2 10 vi dt 3 vi 1 vi t

ai

ai

10

2 vi 3

ti

t

t

vi

vi

1

t3

a3 v4

3,61ms

8,12m.s 1

ai t 0,3s 2

v4

v3 v3

a4

0,1s

2,80m.s

v3

a3 t

1

2,80 8,12 0,1 2 10 v4 3 2 a4 10 .3, 61 3 v4 7,59ms 2

core_juin_2008_PC_phys chimie  

core_juin_2008_PC_phys chimie

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