[PDF] Résolution de problème en CPGE

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2??????

A??????? ???? ??? ???????

A?? H

2PO4+HO=HPO24+H2O K2= 106;8

??HO+CO2;H2O=HCO3+H2O K2= 107;6 2?

3+HO=AH2+H2O

AH

2+HO=AH2+H2O

AH

2+HO=A3+H2O

???? ?? ??????? ??CO2? ?? ? ?HO+CO2;H2O=HCO3+H2O K3= 106;7 10

2molL1?

n(H3PO4) =n(HO)eq1????CAV0=CBVeq1? ?? ?CA= 5;8103molL1? n

4;2103mg????4;2 g?

???2Veq1= 11;6 mL??Veq2= 13;4 mL? AH 2?

2?? ?? ???????

2?? ????? ??

2 ????? ????? ??????? ?Pelec=UI? ????? ????? ?? ??? ?? ?? ??????? ???? ????? ??????? ?? ???????Q= 3800 = 2400????= 8;6:103?? elec? ?????t=31;58;6:10310 = 3900??

?? ??????? ?????? ????? ???? ??? ??800????? ???? ??? ????? ?????? ?? ??????? ???? ????? ??????? ?? ??????? ?

Q= 3800 = 2400????= 8;6:103??

N=Ne=Qe

=Plumhc

N= t=Plumhc

lum=Qe hcP ???? ????? ????I=e? ?????? ?? ??? ??? ?? ??????? ?????Us= 2?? t?? ?? ?????? ???????De? ?????Ds? D s??? ?????? dMdt =Sdzdt dMdt = +DeDs dMdt =Sdzdt =De D eTe=S h(1) g:z+patm =patm +V2s2 D s(z) = Vs=p2g z dMdt =Sdzdt =Ds? ????? ?? ??????? ???z(0) =h??z(Ts) = 0? T s=S s2hg (2) dMdt =DeDs @M@t =Sdzdt = 0? ????? ? D e=Ds,p2g zeq=S hT e(3) eqh =Ts2Te = 0;56<1 D D e=S hT e ?????Ds? D s=S hT s @M@t =S@z@t @M@t = +DeDs ?????Ts> Te?DeDs>0? ????@M@t >0? ?????@z@t ??pKA?? ??????HInd=Ind? ??pKA?? ??????HInd=Ind? ??? ?? ???? ??? ????? A=P i

A() =(HInd;)[HInd]`+Ind;Ind`

!A()A=(HInd;)`C? !A()B=(Ind;)`C? ??A()A()B= ((HInd;)(Ind;))`[HInd] [Ind][HInd]=A()AA()A

B()A()

?????? ??=pKA+ logA()AA()A

B()A()

????? ?[Ind] =CA(620)A MAX ??%Ind= 100A(620)A MAX ?? ?[Hind] =C

1A(620)A

MAX ??%Hind= 100

1A(620)A

MAX ??? ??? ????? ??????? ??? ???? ??????? ?? ??????? pH? (Ind;620)`?? pxxh)2mE L2h2 hc h22mL2)2mcL2h

29;1103131083101026;6210340;1m

??? ???? ???? ??????? ?????? ?????? ?<400 nm?? (x;t) =~ 0ei(! tk x) (x;t) =~ 0sin(kx+')ei! t ~ (x= 0;t) =~ (x=`;t) = 0? ?? ???? ??? ??????? ???????'= 0? ??????? ???? k`=n????n?? ??????? ???? ??????? ?2 `=n)`=n2 k

2=2m!~

=2mE~ 2=n`

2)E=En=12m

n~` 2 hc (E2E1) =32m 2 )43

2mc`2h

=43

29;1103131083101026;6210340;1m

??? ???? ???? ??????? ?????? ?????? ?<400 nm??

E=En=12m

n~` 2 hc (E3E2) =32222m 2 )45

2mc`2h

=45

29;1103131083101026;6210340;1m

??? ???? ???? ??????? ?????? ?????? ?<400 nm?? ?? ? ?? ???????= 217 nm??????? ???? ???? ???? (2)CO2(aq)+H2O=H2CO3(aq)????? ?? ????? (3)H2CO3(aq)=H+ (aq)+HCO 3(aq) (4)HCO

3(aq)=H+

(aq)+CO2 3(aq) (5)CO2

3(aq)+Ca2+

D=D0expQRT

D

L???? ???1

sDL

2????sL2D

(T0)(T0+ T)=D(T0+ T)D(T0)=7414 = 5;3

D(T0+T)D(T0)=expQR

TT

0(T0+T)

expQR TT 20 ??T0T? ????? QR TT

20= ln5;3,

T= ln5;3RT20Q

= ln5;38;314(273 + 900)2113103= 61 K

H=Qp=rH??

2O(`)

2+=Mg(s)H

+=H2(g)E ?V???????

2+=Mg(s)H

+=H2(g)E ?V??????? H

2O+e=12

H2(g)+HO??Mg(s)+ 2HO=Mg(OH)2(s)+ 2e?

i iAi? ?? ?rH(T) =P i ifHT(Ai)? ?? ??????? ??????? ?????? H=meauCpT? Mg (s)+ 2H2O=Mg(OH)2(s)+H2(g)(1) rG4=RTln(K2e) rG2=2FE(Mg2+=Mg)E(H+=H2)=2F(E1E2) rG3=RTln(Ks) K

1=K2eK

sexp2F(E1E2)RT rH1:= fH(H2(g)) + fH(Mg(OH)2(s))fH(Mg)2:fH(H2O(l)) fH(Mg(OH)2(s))2:fH(H2O(l)) ?? ?rH1=352 kJmol1 (mMg)(MMg)rH1=(mH2O)(MH2O)Cp(fi) ?i??? ?????? ?Ke??? ???? ?? ???? ???????hh02 m? x= 0 y=g)_x=vx0_y=g t+vy0)x=vx0t+xA y=12 g t2+vy0t+yA yyA=12 gxxAv x0 2 +vy0xxAv x0 ??? ????? ???? ?? ??????? ???B??C? 8>< :h=12 g lv x0 2+vy0 lv x0 h 0=12 g l0v x0 2+vy0 l0v x0 hv 2x

0=g l22

+vy0vx0l h 0v2x

0=g l022

+vy0vx0l0 8< :v 2x

0=g(l2l0+l02l)2(hl0h0l)

v y0=hl vx0+g l2vx0 v x0=q10(9;15233+3329;15)2(23329;15)= 27;5 ms1 v y0=29;1527;5 +109;15227;5= 7;7 ms1 v=qv

2x0+v2y0vx0= 28;6 ms1

P(z= 0;t) =P(z= 0+;t)8t

S:v z(z= 0;t) =S:vz(z= 0+;t)8t r p=Z1Z2Z

1+Z2=rv

R=(Z1Z2)2(Z1+Z2)2

T=4Z1Z2(Z1+Z2)2= 1;12103

I a=I1+I2+:::=n=1X n=1I n I n=In1RR=I1:R2n=I1R2n I a=T2Isn=1X n=1R

2n=T2Is1R2?????? ???? ???? ????

I aI s=T21(1T)2 I aI s=1;1210321(11;12103)2= 5;60104 I aI s=T2 I aI s=1;121032= 1;3106 I aI IaI IaI I a=T2Is1R2? ?? ??????? ??????? ?IaI IaI

M= 100???

c????? ???? ??? ????0;18< c<0;36? ?? ?? ?????!F? ????? ?? ?????? ?? ?????? ?????

Mxt=T(1)

0 =NMg(2)

mxf=FT(3)

0 =NtNmg(4)

? ???? ???????xt(t) =xf(t) =x(t)? ???? ???jTj< N?

MM+mF < Mg?

8< :xt=g xf=FMgm )8 :_xt=gt _xf=FMgm t)8 :x t(t) =12 gt2 x f(t) =FMg2mt2 ???????_xt_xf=(m+M)gFm t <0? t

0=s2m(R+r)F(M+m)g?

???? ???xt(t0)< D????12 ?????F???? ???? ????? ??? ?F >mg(R+r) +(M+m)gDD ?? ??? ??D=R? ?? ??? ??????? ? ?F > mg 1 +rR +(M+m)g=h M+m 2 +rR i g? 2 +rR 12 F > g

M+m1 +0+

0+1 + 0rR

3?? ?? ??? ?? ?? ??

???? ?? ?????? ??? ????Fe2+??SO24? E Ba 2+SO 24
(aq)+Ce4+ (aq)=Fe3+ (aq)+Ce3+ (aq)? (aq)+SO2

4 (aq)=BaSO4 (s)?

0;14 molL1?

= 1;1 molL1?

4V0????Veq= 11;4 mL?

C= 10CSO2

4= 102;011;420

= 1;1 molL1?

1;141;071;07= 6;5%?

3?

3??? ???? ?? ???? ??? ????? ?? ??24?? ??? ???? ????? ? ?

? ????? ? ???? ???? ????? ?? ?????100 g? ? ??????? ?40 cm? ~ = ~uz???~uz??? ???? ?? ?????? i4 e4 ??de= 2 cm

Pf(t+dt) =~Po(t+dt) +ms~vs

D~PfDt

=d~Podt +msdt ~vs d~Podt =~0? msdt

D~PfDt

= ~Fext=V g~uzV~uz+PeSe~uzPiSi~uz? ????? ???????~uz?

V =V g+PeSePiSi+Dmve

~F=Dmve~uz??? ???? DE cDt =dEcdt +msdt v 2s2 = 0? msdt v 2 s2 =Dmve22 DEcDt ??????Dmve22 = Puext=PiSiviPeSeve? ?? ????? ????? ?Dmve22 = Puext= (PiPe)Dm ????ve2=2(PiPe)

F=Sev2e~uz= 2Se(PiPe)~uz

????F= 2d2 e4 (PiPe) =0;02261052 a= 452 pm? =q8 3 ??????? ? ??????? ??H2O??D2O???? ?? ????? ??????

1H??2H?

+ 414 (X2O) =mmailleV maille=Z(X2O)M(X2O)N aa3p2 (H2Osolide) =4181036;021023(4521012)3p2 = 915;6 kgm3 (D2Osolide) =4201036;021023(4521012)3p2 = 1018 kgm3? ?? ? ????(D2Osolide)> H2Oliquide> (H2Osolide)? ?? ??? ?????? ??? ?? ?????? ??D2? ???? ?? ???? ??quotesdbs_dbs21.pdfusesText_27

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