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ا  ا ل ر  . mo =64mg: آ Na 24 11  ا مد"ا # $ $% t =o&'ا () ( I ؟ t=o &'ا %$ $ا () ةد.ا ى$ا د% ه # (1 .m=2mg :$ا آ 1'23أ ، t =74h &'ا %$ 7 أ  (2 ؟ t=74h &'ا %$ $ا () ةد.ا ى$ا د% ه # (أ . 1124Na  ا مد" 9"$ا : ;ا (ب . 1124Na مود" λ(ا ط $ا ?@ %.وأ (ج 1 23 10 02 , 6 × − = mol NA :وردآ)أ د% :( A M(X)= :ن ةرD ا Cا B A"' ZAX ةا$ا G#ر ):? و$ا ءGIا () •::آD .

M

(Na)

=

24

g

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mol

:(ه 1124Na مد" ا Cا نذإ . NA M m N = × :يو  # ةد# # mآ () ةد.ا ى$ا د% • 20 1 23 3 0 10 16 10 02 , 6 / 24 10 64 × = × × × = × = − − mol mol g g N M m NO A :هt=o %$ $ا ى د% (1 - --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 23 1 19 3 10 5 10 02 , 6 / 24 10 2× × × = × = × = − − mol mol g g N M m N A :هt=74h %$ $ا ى د% أ( (2 --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- λ 2 ln 2 / 1 = t 9"$ا : : $% (ب  ا NOا 7 : t &'ا %$ $ا () Q2ا ى$ا د% نأ P و t O

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−λ× 7$#و : t O

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ا NOا RDه ():S B AT%  ا ا%ا # UVا A.أ # اد ة:T ln نأ P $ x ex = ln . t O

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N

N

×

=

λ

ln

ln

7$#و : t N N O × − =

λ

ln يأ : t N N × =

λ

0 ln نأ :آD : a b b a ln ln =− نأ ? : 2 / 1 2 ln t = λ ( آ W2" ة:T ا NOا : t t N NO × = 2 / 1 2 ln ln 7$#و : t N N t O × = ln 2 ln 2 / 1 يد% X2 : mn h h h t 74 14,8 14 48 32 ln 2 ln 2 / 1 = × = = ن : mn h h 14 0,8 60 8 , 14 = + × ج ( (ا ط $ا Y?@ : 1 5 2 / 1 10 3 , 1 3600 8 , 14 2 ln 2 ln × = × = = s s t λ

(2)

ةا

. 63000 1I ة%او لOT .$ 470I" : .

α

ط $ا اا24195Am م:# ا ى # $:2 (

II . 24195Am : ةا$ 1Iا د# ;آا (1 $ ةا م:# ا . λ(ا ط $ا Y?@ N Zا (2 %ا  %$ ? ةد.ا ى$ا د% [$او ، ) #Gا #  رو:# %? يأ ( . a $ا ط A:C2? ;ا (3 . t =o &'ا %$ $ا ى د% %.وأ(4 5 ( %ا  %$ 1Iا 2 ;ا ) #Gا #  رو:# %? يأ ( . `%2ا $ا ى # . ت . PNر 12 ص 83 را (ر%ا بCا . 2000 (ا $#Gا ة%ا %.وأ (6 ) 1I W'" : 1 ( 1Iا د# : He Np Am 24 237 93 241 95 → + - --- --- --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 2 ( 1 11 2 / 1 10 676 , 4 3600 24 365 470 2 ln 2 ln = × × × × = = s s t λ --- -- -- -- -- -- - -- -- -- -- - -- -- 3 (  Yا () تIا د% ه $ا ط . يو ا () تIا د% نأ ? 63000 ط $ا نf) : Bq s a 17,5 3600 63000 = = #Gا #  رو:# %? $ا ى د% ) %ا  %$ يأ :( نأ P : ) (t N a=

λ

نذإ : 11 11 3,74 10 10 676 , 4 5 , 17 × ≈ × = =

λ

a N -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 4 ( $% : t Oe N N = −λ. 7$#و : 11 3600 10 676 , 4 11 . 3,74 10 10 74 , 3 11 = × × = = ×× e e N NO λt لOT نأ gO  د:h# ن ،# Iا 2$ا #Gا # 9"$ا : م:#i = 370 ؟7آ :? l? ) $ 1Iا #  رو:# %? Q2ا ى$ا د% B ا Q:? A"' نأ لو : 6300 − = NO N # : 11 10 74 , 3 × = O N نأ gO ف : 11 10 74 , 3 × ≈ N م:# ا : لS Bإ lذ ىGو  ا . --- --- --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 5 ( نأ P : 1Iا 2 = ى$ا د% B Iا ى$ا د% N A3 `%2ا . 0 0 5 7 11 1,74 10 1,74 10 10 74 , 3 63000 63000 × = × × = = O N 1Iا 2 --- --- --- --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 6 ( ) 1I (ا $#Gا ة%ا 0 0 20 م:#nا ى # . 1I # %$ 100 20NO Q2ا ى$ا د% نC : O O O O N N N N N 0,8 100 80 100 20 = = − = نذإ ) 1I (ا $#Gا ة%ا 0 0 20 ) BQ2 (ا (ه م:#nا ى # 0 0 80 . د% نأ ?و Q2ا ى$ا 'ا %$ & t ا NOا  : t Oe N N = −λ ( آ W2" ة:T ا RD) : t O O

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−λ نذإ :

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# : 2 / 1 2 ln t =

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(3)

يأ :

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&'ا ج:V 7$#و t ) 1I (ا 0 0 20 `%2ا $ا # : s mn h J an an an t t 151,3062 151 ..111 ..18 ..18 .43,2 2 ln 470 ) 8 , 0 (ln 2 ln ) 8 , 0 (ln 1/2 = = × − = × − = A'اQ:S : J an an 151 0,3062 365 3062 , 151 = + × 151 111, 763 151 111 0, 763 24 151 111 18, 312 151 111 18 0, 312 60 151 111 18 18, 72 151 11 18 18 0, 72 60 151 111 18 18 43, 2 an J an J h an J h an J h mn an J h mn an J h mn s an J h mn s = + = + + × = + + = + + + × = + + + = + + + + × = + + + + .ZACs مGا ةا I  %

β

ط $ا إ 13554Xeن$GCا ةا (III h t1/2 =9,2 : ه 13554Xeة%$ 9"$ا : .Z و Aاد%'# 1Iا اDه ةد# ;آا (1 ط $ا W2" t=9h &'ا %$و ،aoه S و m0t =0 &'ا %$ Xe 135 54 ن$GCا $ آ نأ (2 . a =284Bq $ (ا .t #Gاو t1/2و a0 n%? a ط $ا :2 Zا (أ .mo [$او aoN ;ا (ب `%2ا Cا # . 7500 ه%$ 1I (ا t1&'ا د% (ج .m(13554Xe)=2,24×10−25Kg : ن$GCا ةا آ ( W'" : 1 ( `?:Cا $' ا ظI' ا : 0 135 = A+ 7$#و : 135 = A ' ا ت$ا د% ظI : 1 54=Z 7$#و : 55 = Z 1Iا د# : - --- --- --- --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 2 ( أ( t e a a= 0 −λ. # : 2 / 1 2 ln t = λ . نذإ : t t

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--- --- --- -- --- --- --- --- -- --- --- --- --- - - - - ب ( %%' 0 a : e Cs Xe 0 1 135 55 135 54 → +− e Cs Xe ZA 0 1 135 54 → +−

(4)

خ:V Q?ا NOا لOT # : t t

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2 / 1 2 ln 0 ت . ع : .

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× − %%' o m : &'ا %$ $ا ى د% نأ P : 0 = t : O N . # تا لOT ه ةا Aآ آ : Kg Xe m(13554 )=2,24×10−25 $ا آ نذإ B ي' (ا NO ةا &'ا %$ 0 = t يو : ) ( Xe m N mo = O× ى:Tا .ة #و : $% : O O N a =

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. يأ : λo O a N = (?و : Kg Kg s Xe m t a Xe m a m o o o 18 25 2 / 1 10 6 10 24 , 2 2 ln ) 3600 2 , 9 ( 5 , 559 ) ( 2 ln ) ( = × × = × × × × − ≈ × − × = λ ... ... ... ج ( 1I # %$ 100 75NO Q2ا ى$ا د% نC : O O O N N N N 100 25 100 75 = − = &'ا %$ Q2ا ى$ا د% نأ ?و t ا NOا  : t Oe N N = −λ ( آ W2" ة:T ا RD) : t O O

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&'ا ج:V 7$#و t : 2 ln ) 25 , 0 (ln t1/2 t = − × mn h h t 18,4 18 ...24 2 ln 2 , 9 ) 25 , 0 (ln = = × − = s'# : ا Q:ا لا lDآ C : نذإ :

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1

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−λ Iا يأ : ) 1 ( 100 75 .t O O e N N λ − = 7$#و : t e . 1 75 , 0 = − −λ يأ : 25 , 0 . = − t e λ Q?ا h$ا B A"' و .

(5)

.

α

عا t2 I لOT، مرا :"$  # :& 22790Th مرا ةا (IV 1 ( $ا B ف: P@ ةا$ا RDه 1I د# ;آا ةا (ا لو%hا لOT # ة%ا : At 85 86Rn 87Fr 88Ra 89Ac .mo =10−3mg Cا تاذ مرا # $ () ةد.ا NO `%2ا ا ى$ا د% ;ا (2 Kg m mp n 27 10 66 , 1 × − = = : ( .N ه ى$ا د% نC t &'ا %$و . ط $ا ا مرا ى # NO$ B ا%2ا () :) (3 1 -3 : (ا UN$ا ن N ;آا . 2 -3 : 9: Zا 9"$ا : $ ةا  # . .t1/2 9"$ا : P@ λ(ا ط $ا Y? د% ن2ا B ادا : 3-3 و 0 ( . A Q$ا :2ا) W'" : He Y Th AZ 24 227 90 → + `?:Cا $' ا ظI' ا : 4 227= A+ 7$#و : 223 = A ت$ا د% ظI' ا : 2 90=Z+ 7$#و : 88 = Z 1Iا د# : He Ra Th 22388 24 227 90 → + 2 ( م:ا ةا Aآ نأ ? Th 227 90 B A  227 (ه Aآ آو  : Kg 27 10 66 , 1 × − مرا ةا آ نu) Th 227 90 : Kg Th m( )=227×1,66×10−27 (ه `%2ا $ا آ نا ?و : Kg mg mo =10−3 =10−3×10−6 نذإ : 15 27 6 3 10 65 , 2 10 66 , 1 227 10 10 ) ( × × ≈ × × = = − − Kg Th m m N o O 3 ( 1 -3 ( (ا UN$ا ن N : t Oe N N = −λ. # 2 / 1 2 ln t = λ ب (ا ط $ا Y? : 1 − s --- --- -- --- --- --- --- -- --- --- --- --- -- -- --- --- --- --- -- --- --- 2 -3 ( $#Gا ة%ا  # ة%$ 9"$ا : ( 2 / 1 t `%2ا $ا ى 9" 1I #زwا . -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- -- - -- --

(6)

t k N N Ln O . = − t k يو هو PQ 7.ا A#ا : 1 5 10 069 , 1 3600 ) 0 18 ( 0 693 , 0 × = × − − = s s k $%و : t O e N N = −λ. نذإ : t N N O . ln =−λ يأ : t N N O . ln =λ − نذإ : λ = k (?و : 1 5 10 069 , 1 × − − = s

λ

مرا ة%$ 9"$ا : : h s t 64,84 10 18 10 069 , 1 2 ln 2 ln 3 5 2 / 1 = × ≈ × = =

λ

s'# : gO #%$ نf? : 693 , 0 2 ln = ) نC (ا &'ا نu) : 2 ln ln = − O N N &'ا (ه 2 / 1 t . NOا ن : t N N O . ln =λ − # λ 2 ln 2 / 1 = t ( آ ;C : t t N N O . 2 ln ln 2 / 1 = − %$و 2 / 1 t t = W2" : 2 / 1 2 / 1 . 2 ln ln t t N N O = − يأ : 2 ln ln = − O N N نu) 7$#و : h t1/2 =18 . V ( اDه :ا ا $ ?:hاو ارGا ما 2 رآ2ا عy# # ءG. ار% 2006 / 2007 -د% نأ gn 7N Z P وردآ)أ هءإ يرو:{ا # |و ، .

(7)

R%' l$C # :o وردآ)أ د% نأ Po:) . lD?و : 18 3 27 3 10 4 , 4 10 10 66 , 1 90707 , 136 10 = × × × × = − g g NO --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- VI (

(8)

W'"ا : 1 ( 1Iا د# : x Pb Po→ +ZA 206 82 210 84 $% : $' ا د% ظI' ا : A + =206 210 4 = A Cا د% ظI' ا : Z + =82 84 2 = Z QNد (ه 2$ا QN%ا نذإ

α

ما ةا (هو : He 4 2 . 1Iا د# : He Pb Po 24 206 82 210 84 → + --- -- --- --- --- --- -- --- --- --- --- -- --- --- --- --- 2 ( ل' 2$? : He Pb Po 24 206 82 210 84 → + $% :

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J Kg c u c u c Po m He m Pb m c m E 13 2 8 27 3 2 3 2 2 2 10 67 , 8 / 10 . 3 10 66 , 1 10 8 , 5 10 8 , 5 ) 0482 , 210 0039 , 4 0385 , 206 ( . ) ( ) ( ) ( ( . − − − − × ≈ × × × × − = × × − ≈ × − + = − + = ∆ = ---3 ( يDا B$'$ا تا:x AY a ln n%? t ; 7.ا 7## Pا A3أ # : n PQ#  ةر2 ). "N$ اد ( ( آ 7د# : 9 , 6 . lna=kt+ $ بر ا A3nا % ,9 6 . 1 3 10 5 ) 200 0 ( 9 , 5 9 , 6 ) (ln ) (ln × − = − − = − − = Jours J t t a a k A B A B 9 , 6 . 10 . 5 lna=− −3t+ W2" وا RDه ():S B ي: ا PYرoا اد لTدu? : ) 9 , 6 10 . 5 ( lna = − −3t+ e e يأ : ) 9 , 6 10 . 5 (− −3 +

=

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نذإ : t e e a= 6,9× −5.10−3. 7$#و : t

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−λ. %h ، Q?ا NOا #  رQ? نذإ : 1 3 10 . 5 − − = Jours λ ا : م 2ا ة%$ 9"$ : Jours s Jours t 138 10 . 5 2 ln 2 ln 1 3 2 / 1 = λ = = ≈ - -- --- --- --- --- -- --- --- --- --- 5 ( &' %$ Q2ا $ا ى د% نا ? t : t Oe N N = −λ. آ $ () ى$ا د% o m : A O N M mo N = . آ $ () ى$ا د%و m : A N M m N = . Bوnا NOا () }? : t o e N m N m . . . . = −λ لاGTا %? : t e m m= −λ. # : 2 ln = λ

(9)

 رو:# %? Q2ا $ا آ :

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− × − × ى #Gا #  %? 1I P 7 أ يأ g 05 , 0 يأ mg 50 م 2 9"$ا : د:h# ن Po 210 84 برQ 140 # . 6 6 6 6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

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