Tajribi Math Sx (4)

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‫‪ .‬أآد –ا ط‪- -‬زر‪-‬ز‪.‬‬ ‫ا(  ‪ -‬ا*ت ‪.‬‬ ‫ا  اه    ‬

‫اى ا'& ك ‪$‬م "! ‬ ‫ ام ا ‬‫‪-‬ة ا‪!&+‬ز‪%& :‬ث ‪"#‬ت‬

‫  ا ا ا‪.‬‬ ‫ا ن ا  ا‬

‫ﺩﻭﺭﺓ ﻤﺎﺭﺱ ‪. 2008‬‬

‫)‪O2 (g) / H2O(l‬‬

‫‪0.5‬‬ ‫‪0.7 5‬‬ ‫‪0.25‬‬ ‫‪0.5‬‬ ‫‪0.75‬‬

‫‪0.5‬‬ ‫‪1.25‬‬

‫‪0.75‬‬ ‫‪0.5‬‬ ‫‪0.75‬‬ ‫‪0.5‬‬

‫ دو! ل‪( -‬آ&‪; %‬‬ ‫اء )‪7‬ن( ا ت‪:‬‬ ‫‪ @)R=8,314SI.‬ا?زات ا (‪.‬‬ ‫‪,‬‬ ‫‬‫‪, pka(HCO3-(aq) / CO32-(aq) ) =10,3‬‬ ‫‪, ke=10.-14‬‬ ‫‪; pka(HClO(aq) / ClO (aq) )=7,3‬‬ ‫‬‫‪+‬‬ ‫‬‫‬‫ي  ء   ا ت  ار )‪ ClO (aq‬و ارور)‪ Cl (aq‬و ادم ‪ Na‬و ا! روآ  ‪. HO‬‬ ‫&‪  $%‬ار 'آا (  ء ‪ ،‬و ‪0  1‬ة ‪ $!, ( - .‬ل داآ ن ) ‪ ( Dakin‬ا‪:‬ق (‬ ‫ا  ت ‪.‬‬ ‫ا‪H‬ء ا‪G‬ول‪ :‬ا‪%‬را ا‪N‬آ ‪ LM‬ء !‪. OK‬‬ ‫= > = ا‪  %‬ت ا‪  -<   -;:‬ء  ا; ري ; ا‪$‬آ ‪ 0‬ا‪  ? (@%‬ت  ار‪:‬‬ ‫‪[ClO-]0=0,5mol/L‬‬ ‫‬‫‬‫)‪(1) 2 ClO (aq) → 2Cl (aq) +O2(g‬‬ ‫'آ ه‪C‬ا ا‪B‬ن ا‪ :‬ء و ‪ A‬ا‪ &:‬د‪ -‬ا ‪ - @ :‬ا  ‪: -‬‬ ‫‪ t=0 -E F‬و  ا‪ JKL‬ا‪$P ، p0 (@%‬غ ‪ = V1 =20mL :;N‬ا‪:‬ل ا; ري ‪ :‬ء  >& ‪WMM X‬‬ ‫‪$ YZ‬ات ( ‪ ، V0 =250mL !:;N - N‬و ‪, V%F‬ر ا‪ <> UP‬س ‪ JKS‬ا‪ K‬ز ا‪:‬ر >ا‪ F !Q‬در ‪-‬‬ ‫ا‪$‬ارة ‪. p0=1,01.105Pa. T= 300K‬‬ ‫‪ (1-1‬اآ‪ & (P X‬د‪ -‬ا‪B‬آة و ا‪0QB‬ال ا‪:‬ا < = ‪ &:‬د‪ -‬ا ‪ -‬ا ><‪.(1) -‬‬ ‫‪ (2-1‬أ[‪ Z‬ا;ول ا]‪< (P‬م ه‪C‬ا ا‪.  P‬‬ ‫‪ (1-2-1‬آ ^ & آن آ ‪ - :‬ا‪ :‬دة ا‪ K - @%‬ز `‪ (@ F‬ا?وآ; = _ ‪ -&F $‬؟‬ ‫‪ = $% (2-2-1‬آ‪  - :‬دة ا‪ K‬ز ا‪:‬ر دا‪ Q‬ا ‪ p0 -B> @> -‬و ‪V0‬و ‪ V1‬و‪ R‬و‪. T‬‬ ‫‪ ( 3-2-1‬أو &‪< $ %‬م ا‪  P‬ا‪ p0 -B> x(E‬و ‪V0‬و‬ ‫‪ V1‬و ‪ R‬و ‪ T‬و )‪.p (t‬‬ ‫‪ d: p (t) c N‬ا‪ JKL‬ا( ‪ K‬ز ا‪:‬ر ( ا ‪-‬‬ ‫‪ F‬ا‪.t -E‬‬ ‫‪ d: (4-1‬ا‪$ K 1% FF:‬ات <م ا‪ -B> x  P‬ا‪. =0‬‬ ‫‪N‬د ‪ -$f‬ا‪ F  P‬ا‪ -E‬ذات ا ر‪.t=20mn g‬‬ ‫‪ A<(5-1‬آ‪ = :‬ا‪ UP‬ا( ‪ :‬ء ‪.‬‬ ‫ا‪ -: . XN‬ا‪ JKL‬ا‪ K‬زي ( ا ‪ - ! F -‬ا‪. P‬‬‫ا‪H‬ء ا‪ : a‬درا ‪

N‬ل داآن‬ ‫‪ ^ L‬ا  ء  ا‪ ^Pj:‬وذي ‪B pH1=10.3‬‬ ‫! رو ‪ F‬آ‪ >$‬ت )‪ (Na++HCO3-‬ادم ا ان‬ ‫<‪ A‬ا‪$‬آ ‪0‬ان ا&‪ -.k‬ا  ‪. -‬‬ ‫‪.10 [CO32-(aq) ] = [ HCO-3(aq)] = 0.3mol/L‬‬ ‫‪ (1-2‬اآ‪ & X‬د‪  P -‬أ ت )‪ ClO-(aq‬و ا‪ :‬ء `‪ m‬او  ` >‪ -‬از‪.1‬‬ ‫‬‫‪kQ (2-2‬ل ‪ $ L‬ل داآ ن ‪  P‬ا ت ا! روآ  ‪ :‬ء  و ا ت ا! رو ‪ F‬آ‪ >$‬ت ))‪( HCO3 (aq‬‬ ‫‪ (1-2-2‬اآ‪ & X‬د‪ -‬ه‪C‬ا ا‪. P‬‬ ‫‪ Q = $% (2-2-2‬رج ا‪ F  P‬اازن >‪ Ke -B‬و ) )‪ m` Ka ( HCO 3--(aq) / CO 3 2- (aq‬ا‪. !: . XN‬‬ ‫‪ = >(3-2-2‬ان ‪ pH -: .‬ل داآ ن ه( ‪.pH2 = 9,3‬‬ ‫‪1an = 3 x 107s.‬‬ ‫ا‪M‬ء ا‪ c‬و )‪4‬ن( ات ‪ $:‬ا‪F ^F‬ة ا?ورا م ‪t1/2=7.108an . : 235‬‬ ‫‪. M(235U) = 235 g.mol-1‬‬ ‫‪  .‬ا?ورا م‪ 235‬ا&‪ $F‬ا‪ (& %,‬ا‪  N‬ا‪C‬ي &‪k P (,‬ت ا‪ ,[B‬ر‪.‬‬ ‫‪C. (,&(1‬ف ى ا‪B‬ورا م ‪$F 235:‬ون ‪ = -f‬ا‪B‬ت &‪ !F $%‬‬ ‫> ‪ &:‬د‪B‬ت ا‪F‬و‪ -‬ا  ‪: -‬‬

‫‪1‬‬ ‫‪0.5‬‬ ‫‪0.5‬‬ ‫‪0.5‬‬

‫ ا‪ m:‬و وازن ا‪ &:‬د = )‪ (3‬و )‪ (4‬داً ع ا‪ [F‬ط ا‪( &sB‬‬‫ ‪. :!F‬‬ ‫‪ = -f &> ،XQ $ E =  (2‬ا‪k P‬ت ا‪F‬و‪،-‬‬ ‫‪ .$,[F $ E‬ه ‪ =:‬ا‪ %‬را‪B‬ورا م ‪ %Q 238‬؟  ا>‪. U‬‬ ‫‪ .(1-3‬رن‪ k&-‬ا>‪ -. w -U‬ا‪ 23994 Pu -F J>$‬و ‪. 23993 Np -F‬‬ ‫‪ % >(2-3‬ر ‪ .‬ن ا‪ x. F‬ا‪ ( &sB‬او  &‪ $ %‬ا‪ -> d‬ا‪λ -  &sB‬‬ ‫`‪ m‬ا‪k -%F > !: . XN‬ورا م ‪. 235‬‬ ‫‪ (4‬ث ( ‪  P‬وي ل وي ‪C:F‬ج > ‪ &:‬د‪ -‬ا  ‪-‬‬

‫‪,‬‬

‫)‪ClO- (aq) / Cl-(aq‬‬

‫‪+3 01n + Q‬‬ ‫‪0.25‬‬ ‫‪0.75‬‬ ‫‪0.5‬‬

‫‪0.5‬‬ ‫‪0.25‬‬ ‫‪0.75‬‬ ‫‪0.5‬‬

‫‪1‬‬ ‫‪0.5‬‬ ‫‪0.5‬‬

‫‪0.75‬‬ ‫‪1‬‬

‫‪0.5‬‬ ‫‪0.75‬‬

‫‪0.5‬‬ ‫‪0.5‬‬ ‫‪0.25‬‬ ‫‪0.75‬‬

‫‪235‬‬ ‫‪1‬‬ ‫‪139‬‬ ‫‪94‬‬ ‫‪92 U+ 0 n→ 54 Xe+ 38 Sr‬‬

‫‪Q=120MeV -.‬‬

‫‪ (1-4‬ع ه‪C‬ا ال ا‪F‬وي؟ ‪.‬‬ ‫‪ (2-4‬ا‪ U!f‬ه‪C‬ا ا‪  P:‬ا‪ = m1=3350kg -d‬ا‪B‬ورا م ‪kQ 235‬ل `‪k‬ث ‪Ff‬ات ‪.‬‬ ‫‪ (1-2-4‬ا‪> XN‬ـ‪ m` MeV‬ب ‪ J‬ا‪ -. ,‬ا‪kQ -; F‬ل ه‪C‬ا ا‪:‬ة ‪.‬‬ ‫‪ (3-2-4‬ا‪ |Ff‬ا<رة ا‪$‬ار‪ -‬ا‪  P: -,f:‬ا‪F‬وي ‪.‬‬ ‫ا‪h‬ء )‪4‬ن(‬ ‫[= ‪ 1_$P m` E=4V > ` $  C=20µ F 1&f Pd‬ا>اء =‬ ‫‪$%& -E‬ه ا]‪ k‬ار} ‪ $%‬و‪ < -& s‬و! ‪ r‬و & ‪-‬‬ ‫‪ !L$‬ا‪C‬ا( ‪$ L‬آ‪ -%‬اا( ‪ ] V‬او( < و‪R=10Ω 1‬‬ ‫)ا‪ $E‬ا[ ‪(1%‬‬ ‫‪ (1‬ا`‪ %‬ا‪ &:‬د‪ -‬ا‪ - S P‬ا( <$ = > uc (t)$‬ا‪.^d:‬‬ ‫‪ d: (2‬ا‪ FF:‬ا‪:‬ا( ‪$ K‬ات )‪.uc (t‬‬ ‫‪ E  (1-2‬م ا‪C>C‬ات ا!‪ - @ >$‬ا‪. 1  :‬‬ ‫‪ 1%s =  (2-2‬اور‪ m` T‬ا‪  & L -: . |Ff‬ا‪ ~$‬ا‪C‬ا(‬ ‫‪. -& s‬‬ ‫‪ (3-2‬ا‪ XN‬ا‪ -. ,‬ا‪%:‬دة ا ‪N‬ود ‪. t=1,5T‬‬ ‫‪ ( | (3‬ا‪$‬آ ‪ X‬ا >‪ A‬ا ‪ $‬ا‪0 ~PjF:‬ود اارة > ر‬ ‫آ!‪ F (@ >$‬وب ‪ 1s (%‬ا‪ - E‬ه( ‪i(t)=I√2 cos(2N1t):‬‬ ‫&‪ $ [ u(t)=10√ 2cos(2π N 1 t+φ ) (,‬ا‪ $$%B‬ا ا[ة‬ ‫‪ $ [ :F > 0,4A‬ا‪ $$,P‬ا ا< ‪.16V-:‬‬ ‫‪ (1-3‬او  ‪ m .‬آ = ا‪$‬دد ‪ N 1‬و ا‪ <:‬و‪. r-‬‬ ‫‪$ J%L(2-3‬دد ‪  GBF‬ا< ‪ }% N2 -:‬ا‪ s‬رة ا?‪. $$ %‬ى‬ ‫‪< -: . .‬ار ‪ $ K‬ا‪$‬دد ‪ ∆ N= N2 – N1‬؟‬ ‫‪ (3-3‬ا‪  & XN‬ا;دة ‪ Q‬ارة‬ ‫ا‪5) L‬ن( ‪ :‬ا‪H‬ءان ‪ I‬و ‪xy& II‬ن ‪.‬‬ ‫ا‪H‬ء ‪ d: :I‬ا` <‪ -‬ا  ‪ = P,< -‬ار‪ -.‬ا<‪  - F‬رة =‬ ‫ع ‪.RENAULT 19‬‬ ‫‪$ (1-I‬ف ا رع ا‪$: (E‬ك `‪ m‬ا‪ |Ff‬ا‪ &:‬د‪ -‬ا‪- F0‬‬ ‫‪$‬آ‪$ K - : < -‬ة> ‪ E‬م )&‪ $%‬ا‪ -$‬ا‪.(-&F - @%‬‬ ‫‪kKf > ( 2-I‬ل &‪ ,‬ت ار‪ -.‬ا<‪ (- F‬ا‪(: . |Ff‬‬ ‫ا ر =‪a1‬و ‪  a2‬رة ( ا  = )أ( و )ب( ‪،‬‬ ‫ا‪M=1086kg :  /‬‬ ‫ ا‪kQ‬ف ا< ‪.= :‬‬ ‫ا‪ 6‬ا‪ "35‬ا‪ 2 1%34‬ا ‪: 01‬‬ ‫‪ = >(3-I‬ان ا&‪ -.k‬ا( ‪  J>$‬رع ‪$‬ك ‪kQ‬ل ‪$N‬آ‪-‬‬ ‫ا )أ( ‪%; 400m :‬ل ‪. 17 ,6 s‬‬ ‫< ‪$ K - :‬ة > ‪ E‬م و ا‪ = $‬ا‪v0 - @%‬‬ ‫ا )ب( ‪%; 1000m :‬ل ‪.32 ,9s‬‬ ‫‪2‬‬ ‫‪2‬‬ ‫‪v‬‬ ‫‪-v‬‬ ‫‪=2ad‬‬ ‫و ا‪ vf - @ !F‬و ا‪ - :‬ا‪ d -,<:‬ه(‬ ‫‪. f‬‬ ‫‪0‬‬ ‫ا‪ E 1 34m 6 @35A : ? /‬ا ‪ 01‬اذا آ‪B4‬‬ ‫‪(4-I‬ا‪  |Ff‬رع ا رة ‪kQ‬ل ;‪ ->$‬ا‪ m` }%‬ا‪s XN‬ة‬ ‫‪ F " #‬ا  ه ‪60km /h. :‬‬ ‫;‪:‬ع ;! ت ا<ى ا‪kQ !  -<%,:‬ل ‪ ‚P‬ا;‪. ->$‬‬ ‫‪ K !ƒ ( II‬ة ا‪N‬ك ا€ ‬ ‫‪ d:‬ا‪ FF:‬ا ( ‪$ K‬ات ا‪ -$‬ا‪r= 1 cm ! &s -$ - E‬‬ ‫و آ! ‪kQ m= 4,1g‬ل ‪$N‬آ! ( ‪ %j‬ر را‪ (f‬ي  ز‬ ‫‪$:‬ك ا رةآ! ا;‪. ρ=0,9g/cm3 - :‬‬ ‫‪C:F‬ج ‪.‬ة ا‪ NB‬ك > &‪-!; u. )> ` k c N f=-kv n u -.k‬‬ ‫وا‪  -!  -N‬ا?‪(.Pf‬‬ ‫‪ (1-II‬ا`‪ %‬ا‪ &:‬د‪ -‬ا‪ - S P‬ا( < - %$‬‬ ‫ا‪ : >.=0‬د ‪ -<$w‬أو ‪  $‬ا‪ &:‬د‪ -‬ا‪- S P‬‬ ‫اƒ ا;ول ( ‪ - N‬ا‪ %‬ر ‪g=9,8m.s-(,&. .n=2 m` n=1‬‬ ‫‪.2‬و‪ Z ƒZ‬ة ا‪&N‬ب ‪∆ t = 0,02s‬‬ ‫‪  (-1 -2-II‬ا‪:F‬ذج ا‪m@k:‬؟‬ ‫‪ (2-2-II‬أو  ا‪ - :‬ا( ‪ !&,.‬ا‪ -$‬ا ‪N‬ود ‪.t=2s.‬‬ ‫‪n=1‬‬ ‫‪k=…….‬‬ ‫‪n=2‬‬ ‫……=‪k‬‬

‫)‪t(s‬‬ ‫)‪v(m/s‬‬ ‫)‪v(m/s‬‬

‫‪0‬‬

‫‪0.02‬‬

‫‪0.04‬‬

‫‪0.06‬‬

‫‪0.08‬‬

‫‪0.1‬‬

‫‪0.12‬‬

‫وا† و‪ a‬ا ‪.…K‬‬

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