.ا م  ن   آ و ،أ و 첰و    و 視ا و ،ا نا 視ا 

.ا م ن آ و ،أ !"#و !$و " %& &و 'ا #و ،(ا ن(ا 'ا

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(دآا -% .%ادور -% - د0و1 2%و343ا 'ا - %5و -64ا - %7ا (8ا و(&ا [email protected]: 2%و(+80ا (ا

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pour toute observation contactez moi ا

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ا ا ل !أو .

ا

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1 ( 1 - 1 ( (ا تا %7إ

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-- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- 1 - 2 (

ل ةدا تآ ت0"ا

1 1 0 0 -Fا -"ا

xf

−

1 1−x_f x_f x_f -FGا -"ا

-- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- O H COO CH

HO COOH

CH₃− + ⁻ → ₃ − ⁻ + ₂ (1 -2 (2 --- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- -

:V₁ =5mLH"ا 2I J+ا K"ا ةد -آ ^{(2 -2}

3 3

. 1 / .28,4.10

5,68 / 5.10

B BE

a a

c v mol L L

c mol L

v L

−

= = − = : !Gو

. .

a a B BE

c v c v =

:LI8+ا -M6 ل6N

. 5, 68 / .0,1 0, 568

a a o

n =c V = mol L L= mol: Gو

-- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- 2 - 3 ( ن 8ا (+&Pا ةد -آ نأ )Q+ مJ+ا لو ل6N

= 4+ا K"ا ةد -آ ).

ةد -آ TM% -Fا K"ا ةد -آ 2هو

-J+ا K"ا .(

mol n

n_ester =1− _a =1−0,568=0,432

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

dt dx v V1.

= :ة(+&0ا 4+ -V"ا -(ا ( (1 -3 (3 h

t mol t

x x t x dt dx

B

B 0,536 /

0 1

0 536 , 0

0

0 =

−

= −

−

= −

∆

= ∆ ^{: %}

1 1

3 0,536 / 4 . .

10 7 , 132

1 _{− −}

− × ≈

= × mol h molL h

v L

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

3 - 2 ( ز4"ا وأ ةرا("ا -رد .

- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- h

t_1/2 =0,75 : *"% x_max mol 335 , 2 0

67 , 0

2 = = XIا t_1/2 % (3-3

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

% 67 67 , 1 0

67 , 0

0

=

=

=

= mol

mol x

r x^f :4+ا دود( (4-3

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

3 - 5 ( mol

x_f =0,67 : يو 4+ا -% G مJ+ا -M نأ \6% ، ]ا -0 4+ا مJ تا(^ 7 ي_ا G"Gا ل6N

ل ةدا تآ ت0"ا

1 1 0 0 -Fا -"ا

33 ,

0 0,33 0,67 0,67 -FGا -"ا

ة(+&`ا 4+ -%و(Jا نزا +ا -+5 :

[ ] [ ]

[ ] [ ]

^{1 1 (1 ) 00,,67332 4}

2 2

2

≈

− =

− =

− ×

= ×

×

= ×

f f f

f f f

x x V

x V

x V x V x alcool

acide

eau ester

K

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

-Fا -"ا *"% ،-Jا -Fا -"ا 2I ةد ا -F8ا - Hا إ ك %7Pا K ل ا 1 -I<إ G (1 -4 (4 -+ا ةHا

:

ل ةدا تآ ت0"ا

2 1 0 0 -"ا

ةHا-Fا ةHا -Fا -"ا 2I 4+ا جرN ن 8 c_و

:

=4

K نزا +ا -+5 ، Gو

[ ] [ ]

[ ] [ ]

⁰

' _, =

×

= ×

alcool acide

eau ester Q_ri

(dا "Gا 2I ر e+ -F8ا - Hا

. ⇐ Q_r,_i <K

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

4 - 2 ( نأ

2 آ ه مJ+ا لو ، (dا "Gا 2I ر e+ -F8ا - Hا :

ل ةدا تآ ت0"ا

2 1 0 0 -Fا -"ا

Hا ة x'f

2− 1−x'_f x'_f x'_f -FGا -"ا

mol

x'_f =0845 : ه ةHا نزا +ا - 2I 4+ا مJ ن آ XJ"+G

[ ] [ ]

[ ] [ ]

^{(1 ' ).(' 2 ' ) (1 0,8450,845).(2 0,845) 0,1550,7141,155 4}

'

2 2

, ≈

= ×

−

= −

−

= −

×

= ×

f f

f i

r x x

x alcool

acide

eau ester Q

ء]4ا

: و ارد :لو ا !"#ا

ms div

ms div

T =6 ×0,1 / =0,6

: رو%ا ( 1 - 1 ( 1

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

.

λ=d₂ −d₁ =61,5−41=20,5cm=20,5×10⁻²m

: ا ا ل' أ( ( 2 - 1

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

2 3

20, 5 10

342 / 0, 6 10

v m m s

T s

λ ⁻

−

= = × ≈

×

: ا ا ر)*ا +# ( ب

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

2 ( 2 - 1 ( ا ة#ه.

ة#ه/ 0ه #1ا هز#3 0ا د4

56 7ا ء9ا .

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

D L .

= 2

θ

( 2 - 2

- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- nm

m m

m m

D a

L 633 10 633

3 2

10 5 10

6 , 7 . 2

9 5

2 = × =

×

×

×

= ×

= × ^{− − −}

λ ⇐

D L a = 2.

λ ---

: ;"% ( 3 - 2

-- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- RL

<7=ا 0;> :0*?ا !"#ا

E u

u_L + _R =

: ;"% : تا#ا Cإ ن*@ <A4 ( 1 - 1 ( 1

E i dt R Ldi i

r. + + . = E

i r dt R

Ldi +( + ) =

: را ة%6 E== 0ا FGا دHا

r R

R_t = +

: I

R i E dt

Ldi + _t. =

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) 1

( ^τ

t

e A

i = − ⁻ : ه -<4+ا -دا (2 -1- τ τ

t

Ae dt

di ⁻

= . : نذإ

*"% -<4+ا -دا 2I K + :

E e

A R Ae

L

t t

t

=

−

+ ⁻

−^τ . (1 ^τ) τ

t t

t t

R A E e A R Ae

L ^−τ − . . ^−τ = − .

τ

: يأ

t

t

L R A E

R

τ

 =



 =



⇐







=

−

=

−

0 .

0 A R E

L R

t

τ t

⇐

L R E R A

Ae _{t t}

t

. )

( − = −

− τ τ )

1

( (1 )

) ) (

( ^{L(R r)}

t

r e R t E

i − ^{− +}

= +

: K;و

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1 - 3 ( (NL -d ا -Mإ

ر+ا ghM ق6jإ G ةراا 2I 2F(8ا ر+ا .

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ms 5 ,

=0

τ

: *3 ( 4 - 1

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

r R i E

= +

: را ة%6و

^−L(R+r) → 0

t

e

:

+∞

Lإ

t

لوQ %;+ ( 1 ) @NHا لNO ! ( 5 - 1

A

2

يوA ة%)ا WVه : !Rا S% را ة%6 تا#T U?" يVا L;;ا لNO !و

Ω

=

−

=

−

= 6 5,5 0,5

2 R

r E

⇐

E R r

+

2 =

⇐

=2 +r R

E

: نذإ

H r

R

L=τ( + )=0.5×10⁻³×6=3×10⁻³

⇐

r R

L

= +

τ

: !Rا > ;"%و

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: ة("ا ت__+ا (2 V%

م يرود !d .

يرود !d مV%

. ←1-J5 ا (^1-2 يرود 0 مV%

.

←2 -J5 ا

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

ms

T =4 : روا !d (2-2 - ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----

ms T

T_O = =4 : g T₀ =2π L.c: ةk (^ا -F(8ا ت__+ صk^{ا روا (3-2}

2 3 2

0 4

2 2 3

(4 10 )

1, 35 10

4 . 4. 3.10

c T F

π L π

− −

−

= = × ≈ ×

× ⇐ T_O² =4π².L.c

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

2 - 4 (

2 2 2 2 4 2 2 3

0 3 3 3

1 1 1 1

. . . . ( ) 1, 35 10 (6 4 ) 1, 35 10

2 c u^o 2 cu 2 c u^o u 2 J

ξ ξ ξ= − = − = − = × × ⁻ − = × ⁻

- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -__+ا - Hا -&ارد 3 (+ا

.R

س+ا )e& (51و F

KGا ف(h -Jeا ة Jا P

: !%زو : -+ا ى J !+آ( ل6N gQk SHا (1 -1

aG

m

F

= .

Σ : G 2%7ا ن %Jا Xe+

i x K

F

.

− .

= ^:Gو P F R ma_G

= . + + aG

m R i x K

P

. .

. + =

− ⇐

ax

m x

K. 0 .

0− + = : oxر "ا طJ&P 0

. .x+K x= mɺɺ :يأ m

= K

ω0 : صkا Q% -و -__ ^-J+ S Hا -آ( + .x=0

m xɺ K

ɺ :-آ(" -<4+ا -دا

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

K m m

K

T π π

ωπ

. . 2 2 2

0

0 = = = : -آ(" صkا روا (2-1

m N T

K m 10 /

) 6 , 0 (

10 92 .

4 . . 4

2 3 2

2 0

2 = × × =

= π π ⁻ ⇐

K T₀² =4.π² m

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

) 6. , 0

. cos(2 . 10 4 ) . .

cos(2

. ²

0

π ϕ

π ₊ϕ _{= × +}

= t ⁻ t

x T

x _m : -آ(" -G]ا -دا (3-1

) 3 .

. cos(10 . 10

4_× ² π ₊ϕ

= ⁻ t

x : يأ

.ϕ =0 ⇐ cosϕ =1 ⇐ x=4×10⁻²m ، t =0: -V"ا G Gو t

x .

3 . cos10 . 10

4× −² π

= : 2+و

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

m x ² 0,3 4.10 ².cos 4 10 ²

3 cos10 10 .

4 ⁻ × = ⁻ =− × ⁻

= π π : t =0-V"ا G (4 -1

i x K

F

.

− .

= : دارPا ة M

i

"G q4% F

ة Jا ⇐ x<0: g N

m m

N x

K

F =− . =−10 . ⁻¹×(−4×10⁻² )=0,4 : d

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

: -__+ا - H -Meا -&ارا(2 . 2

2 1K x

E_pe = : -%(ا g< ا -Mh (1-2 Epe 7 (1) G"Gا ⇐ Epe .10.(4.10 ) 0,008J

2

1 2 2 =

= ⁻ ⇐ x=x_m ، t=0-V"ا G Ec 7 (2) G"Gا ⇐ Ec=0 : يأ v=0 ، t =0 Gو ²

2 1mv

Ec= : نأ و .E_m 7 (3) G"Gا ⇐ E_m =E_c +E_pe: G -V" آ 2I

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

2 - 2 ( ك8+0ا د و إ -8%8ا -Meا TMG ى]

.

---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- ه

: t₃ =0,3s و t_o =0+V"ا Hا KGا ف(h -Jeا ة Jا ^d (3 -2 )

2 (

1 2

3 2

0 x

x K F

W = −

m x

x₀ = _m =4×10⁻² : G

2 4

3 8 10

10 004 , 2 0

2 3= × = × ⁻

= K

x Epe ⇐ Ep_e3 =0,004J ، t=0,3s -V"ا G%و _{3 3}²

2 1Kx

Ep_e = : نأ %

J x

x K F

W ₀² ₃² .10(16.10 ⁴ 8.10 ⁴) 4.10 ³ 2

) 1 2 (

1 _{− − −}

=

−

=

− =

SBIRO Abdelkrim lycée agricole+lycée abdellah chefchaouni oulad taima région d’Agadir msn: [email protected]

ا ا

pour toute observation contactez moi

ا .

ا ا ل !أو .