Post on 29-Mar-2021
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1. What is the solubility product expression for Al(OH)3?
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2. What is the correct mathematical expression for finding the molar solubility (J) of Sn(OH)2?n
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3. The solubility of strontium carbonate in water at 25°C is 4.50 x 10-3 gEL. What is the Asp of this
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4. The solubility of lead(II) sulfate is 4.0 x 10-2 g/L. What is the solubility product constant for
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5. Which of the following salts has the lowest molar soA) Src03(Ksp=9.3 x 10-10) ,. ' s=>_'`~~p,,z¥?
C) BaF2(K„=.`|.Ox_lone)_ ' i pT* --
Bas04 (Ks;~= 1.1 x 10-[°) '`.-T8xl-o-l-,-~------J`---:----4,/;--1.1 x 1o-1o) ,`.
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Agcl 1.8x|0-10Bac03 9.1 x 10-9
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Cds 8x|0-27 ,~Pbs041.8x 10-8 .`J`-+`}
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s_P_P_S9-4u`~`)Cds < Bas04 < Agcl < BacoD) Pbs04 < Bac03 < Agc1 < Bas04 < CdsE) Pbs04<Bac03 <Bas04<Agcl<Cds
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7. What is the molar solubility of bariun}_fluo\ride at 25°C? The solubility product constant for
barium `ft_ucridejs 1.0 x 1 one at 25oc.
A) 6.3x 10-3A4,,i
Err.deifi=fa-A4C) 5.Oxl0-7A4
D) 1.Oxl0-3A4
E) 1.6xl0-2A4
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8. In which of these solutions would silSilver(I) carbonate, Asp = 8.5 x 10-12.
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10. A 4.0 x 104 A4 solution of Mns04 tis gradually made more basic by adding N_a_9.H. At what pH willmanganese(II) hydroxide begin to precipitate? For Mn(OH)2, Kxp = 2.0 x 10-13.A) 4.70
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11. What is the maximum hydroxide-ion concentration that a 0.027 A4Mgc12 solution could havewithout causing the precipitation of Mg(OH)2? For Mg(OH)2, Esp = 1.8 x 10-[].A) 4.2 x |o-68) 1.7x|o4C) 1.2x|o-8
D) 6.7x|o-9E) 2.6x|o-5
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12. If 270 mL of 1 x 10-7 A4AgN03 is mixed with 270 mL of 1 x 10-8 A4Nal, what will occur? ForA8I, Kxp = 8.3 x 10-17.
A) Sodium nitrate will precipitate.8) Silver(I) nitrate will precipitate.C) Sodium iodide will precipitate.D) Silver(I) iodide will precipitate.E) No precipitate will form.
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CdovH3)42+, A/ 1.0 x 107
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8) 2.5x|o6\
C) 1.Oxl07
D) 5.6x|ol
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19. How much heat is liberated at constant pressure if 0=834 g of calcium carbonate reacts with48.9 mL of 0.668 A4 hydrochloric acid?
Cac03(s') + 2Hcl(czg) + Cac12(czg) + H200 + C02(g); Aft = -15.2 kJ
A) -0.127kJ8) -0.375kJC) -12.7kJD) -0.248kJ
y_.f i: - =±-,? -=>
E) -10.2kJ.,
i 20. The reaction of iron with hydrochloric acid is represented by the following thermochemicalequation.
Fe(S) + 2Hcl(czg) + Fec12(clg) + H2(g); Afro = -87.9 kJ
If, in a particular experiment, 7.36 kJ of heat was released at constant pressure, what volume ofH2(g), measured at STP, was produced? (A = 0.0821 L . atm/(K . mol)) ,,
A) 2.92xl02L8) 2.05LC) 22.4L
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carbon dioxide gas, measured at 1.00 atm pressure and 25.0°C?
Cao(s') + C02(g) + Cac03(s); AZZ° = -178.3 kJ
A) nd.iixi02kT L"z,.j
8) -1.04xl04kT j£~'i?'C) -7.97x l02kT {b f/„ I:-
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22. The specific heat capacity of copper is 2=2§4Jfg.°C. What is the mo±g::±]2gfjj!£J=£g±£}§S
i!2is-aplAT 24.4 J/mo|.°C
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8) 0.00604 J/mo|.°CC) 165 J/mo|.°CD) 0.384 J/mol.°CE) 2.60 J/mol.°C
mass of copper is 63.54 g/mol.
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23. How much heat is gained by copper when 5j=£j3j2££gEEfr is warmed from 15.5°C to 76.4°C?The specific heat of copper is o.385 I/(g o oc). ro-k`+rT~-``~-- '~'=i-I--
A) 3.09x|02T8) 29.41JC) 23.45J
I D) T.2rxioui)- T5-2~*i63 I
24. A 170.0-g sample of metalcontainer. The temperaturethe Sp'§g.ific heat of the
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25. A 42.9-g sample of cobalt (s = 0.421 J/(g . °C)), initially at 157.2°C, is placed in an insulatedvessel containing 120.9 g of water (5 = 4.18 J/(g . °C)), initially at ±2;2:C. Once equilibrium isreached, what is the final temperature of the metal-water mixture? Neglect the heat capacity of the
8) 55.3°cC) 14.|°CD) 88.2°CE) 31.8°c
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27. AfJ and AU are nearly the same in all the following processes £2Egfp±A) F2(g) + H2(g) i 2HF(g).8) CH4(g) + C12(g) + CH3Cl(g) + HC1(g).C) C6H6(S) i c6H60.
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' £'-a ,,,:£
I T= i:ff2fa;-S)ti {f=
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--a = $3-#- ~~Ji.al• .t ` .
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-.-`#f ,-,t\{f} i f ----
+ifti€edf%2drF®
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\ a Frf`_:* 3a
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Arf i,A i = rf 7S ,9 8% nr4:i
'-,;ffi6;
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28, Agas4,€;;I:/,.i.f
absorbs 0.0 J of heat
ID:A
jeff-,F .(/i +-q, ,A}<-3 -F';and then performs 77.0 J of work. What is the change in internal energy
ha__a.a.__-----.-
(if {\/ j:£fyRE ;,!= 8:::;i jt,_J==± -27d-:I =--7gj
.\
C) 117.OJ
D) 76.6JE) none of these
i-J`~ 29. The standard enthalpy of vaporization of Freon-10, CC14, is 29.82 kJ/mol at its normal boiling
7 7/) point of 77°C. What is the change of entropy for 1 mol of liquid Freon-10 when it vaporizes at itsnormal boiling point?
A) 8.52x 10-2J/K
JK
EE
4/J9:w= #9,i i 2~;a:~ -rSpas)£@ ff7:: :: I.-,ir;givITng,-,`
ef± i: : 3 33 ~;z-;: ,rf
_i,:--7,a ,€=,Eiiiiiii
'=~-~^'de;!;=T4g:`9=::'d>fa=dRE>±±±==
E) 3.87xl02J/K ,, ` i gg:~2.,£;#di ``3
i 30. At the normal boiling point ofo-xylene, AIJ°vap = 36.2 ^kJ/`;;araniffiffia+i-ng6-.7J;fitinIr6i. K)..What
i:~z,,3,,)is the normal boiling point of o-xylene?A) 314K8) 373KC) 115K
I) 418K
a
4!lif=7ztrd--`±7=3,±, 2.- 17=,;jig;2
{26::2fr5=7
/i /fq it= i if f`r tf'='f± --(xp3/£f , / ,€2 I ,2 givly,f i-±=?
-.*d
``±-~;--T ------. €z '`-' `' /heal ic ,,,.... ___ .+-~~-~ ---- _-i---i---_31. In which reaction is AS° expected to be negative? 4fcza`=giv ,'!T rTg±#'f= ,i -`'p f5=£ {`;;';._,. '#
i.- ,ZapA) ?C2H6(8) + 702(8) + 4C02(8) + 6H200 '*T2'#an tE-5 `¥-# =\,\ 4£ \.:`T*€_ al
8) GaoiGa(S) zf9->Lf givp,pr~ , t,i A,,if 9;£j-=r`al~ -=\, d#j:C-ef,`-` t,a `c) H2oo +2so2(8) + H2so4o ,f#:;i -`yL~->¢`r',i-`` t rae,=zrfu;I,¢2 ,..,,,,'=9`,_..3fr~g& ,'2J=£` 'g
i Vfro -3= oG2!f r„ '' ':_ ._? -. - z , ry '`' -,:`-`;.-TJ ^^.::I-,',) i4 .I < £al
# ;:; tf i -'& i ffctpef i-i 2_ I` a_r3=g ...... __~r
- 8 ,;f:`,.. f i,
E) all of above,.~---.---±ii= __-,=j:-=---iJ- -,`S-
For which of the following reactions is AS'° at 25°C closest to zero?t -.,, rty --. ` , #, ``3 '==; ed-i.,-`7`'='=-i,.,i£;T;`'J,,`,A) N2(g)+02(g)i2NO(g) a+ #=// /7
-j= ty ,,-cttr.
8) H2(g) + 12(s') i 2HI(g)C) CH3CHO(g) + 5/202(g) + 2C02(g) + 2H20(g)D) 2NO(g) + 026) + 2N02(g)E) C2H4(g) + Br20 i c2H4Br20
7
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G~ 33. Forthe reactionN2(g) i 2N(g),
W2_S` fr-2J!\J±3, i J'
ID:A
•,£JL;--1 A) Afz<OandAS<0.8) Af7>OandAS<0.C) AH<OandAS>0.
dioxide at 298 K?
B>=3fr =,J '.-: `\ ,.- 'irf ri
//; -,,- _ £?-i-A,-r. :);, £7,,,-,S/rf
dE!EEdj^ `f4;atee I e rfi i , :>,i,fy i_A ¢_; :.,.fi, ,I,xj : g;edf.
##mfa:f4€:\ i,i:::A,;,: :;:::. ::::. :#`:£ `;:£:f=:, ;:,; ,,I#m (f`aeff E?,4 z`' *r- ~_,
34.Yha.t.isth:s±¥§ein¥pywhen0.100gr-6fsiliconisbumedinexce;`s-Loxygen-toyieldsilicon
Si(f) + 02(g) i Si02(I); Ago = -182.4 J/K at 298 K
#ti,; 2;¢d I /' ( _F ; = f3F% -- 0,@C)3r7 yLA.rty4_ I i@i c-, 'ke
/froifrfJbe.f;i,:$4m!:$9=-/£2.,Cp4A-jKffg#g._r3 ^rj=fr:; drl-f i f a; giv=::'gr ;:-..:. o.nyg f~: .'3:i.I./_: 6fo£P ;-i qJ JIr;g_
`i` `-
A) -182JK8) -18.2JKC) -2.18x 10-3M£
--, `E) -0.649-` --~ ____-`,_ ----------- ~---
35. WhatisA9: at298 K forthe followingreaction? =*?r 6Lr=j% ,,12(g) + Br2(g) i 2IBr(g); Afro = -11.6 k]; Ago
A) -8.02kJ
-15.2
D) 3.59xl03kT
E) -3.59xl03kT
# r€- =-- 4i I:-
=]2,~J,ee¥§:K--`+€Ta^~
I:=,a-f±' .---- I €ap9 Jy
= ,-,,.,: p /c==`; -,,-,::i i ,::` ,d---`
eT- is ich
`5=`--,;:`' -, , ' [g__i--.*--` --.- `- '` ``_ ,---i-
36. Determine AGO for the following
- /fir ICH4(8) + 202(8) + C02(g) + 2H200
SubstanceCH4(g)02(g)
C02(g)H20®
A 8Lm`8 8]8 k]
CI I 1]E'
D) -682.5kJE) -919.9kJ
Afro (kT7moi)-50.72
0-394.4-237.4
•,i-`.-, }rs . -!sO'
•-_,-•-:r ..
?@`ry),EL/:Fi_
_-I
=:;j3.¢a=.74S`2fj£`j_ii-iiiEE«
-9 e^l
6 G. - - +
t-i--1¥_ -A,.: ',I--`3~
---?`}ifed> j'=q= Q` i i. ty`~n,(.-`s+. i - `>=+, ,.
---,£-rty7¥--, F2 ,,: -..- F-\-__ - -
t\~H
/.: ;;' c-: -` :'.L [r} ap :fro:.;=F.'b€w^'::. I-S`_~`al.-:-v::+ _..
'=39 ¥, t# -r£FrT; , ^r, i-in,7 a)+_i i :i;ir-:i==~```,-..`
8
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37. What is the change in free energy at 298 K when lL2£j]±LQ£Q£344 A4calcium chloride is.7 mL of o.245 Msodium carbonate? (A = 8.31 J/(K . mol))L--- I ------.-- _-,-
combined with 73.'H-E=I.
Ca2+(czg) + Co32-(crg) + Caco3(S)
SubstanceCa2+(aq)C032-(aq)Caco3(S)
4fr (kJ/mol) at 298 K-553.5-527.9
-1128.8-/-2k---`tim-k-I \--1}.`1`6 y..ttFi{`, `
i=iiEEae.)
...,,'
; ' - f± -L ,-., ` ,?
if a d;€-I,= - j±-----I_
-rf)--j`_ ',' `.`.
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EE
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ySer-:f ii; : a:`--=` -,,,- i r±:--;i:;rty;3- /r-,a.-- = ----,-,_ ^L.i -i -
t:iffr I/t'` i A rF;I i_pj<.`
f!;+` -' . :i)_ '---;=---:i i -\ -fi -i,p^-#per`
38. Given the following, determine K at 298K for the reaction,
al A A:£Q:=#;E;;c:::: - '--J,AgBr(s) + Ag+(c}g) +Br-(czq)
SubstanceBr(c'g)Ag+(c'g)AgBr(s)
5.3 x 10
xl04
C) 1.9x|ol2
D) 1.9x|o-5
Aft(kJ/moo at 298 K-104.0
77.12-96.9
zE
-.',
`E= Ei'
+E= E=
i-±F i ---- i-,-/?-`r-.: ---i ---:;.;f i/_;<
el,~-- - 7 ¢ , c , 2 ± iT-#JjA-.-A-3p -a? 2f a. ,£-I /
±-- =f (:i :3 :, I; i
`.,'= e,--'`-fr/{F--
/#., ::=,;;` i--#l,A ..--,. dyr`y`- -2i±_p. a w/,
E,1.8X,0" 4,-z, = €-Zfi26= JrT3 yz€j-/j?----``\39. Consider the following hypothetical reaction (at 316.8 K). Standard free energies, in kJ/mol, are
given in parentheses.
A=B+C(-32.2) (207.8) (-237.0)
AGO - ?
What is the value of the equilibrium constant for the reaction at 316.8 K?A) 0.42a) 1.0C) 273
zE)L#+ro`4Q,i\
+-::====---lul^
£,rfui: -,-- 7f: i,,;., ,;-/,0`i'
A
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(-=4 "a
`:`
`== a/-_gzgr--:,9
`,.i i --'2;2.2~
-- -jFJ =6ys-
g . t=`,Jgf}-a `g` I ,=` AT + +-ii- i,` .sZ'. g
=--- /!lapI-L
`\`
gr``--:)
-I,a- G
= 3 ,:a,:,:j,_,, ,f p_.>2;3 ft,7,, e~
/
/- fS rJ§----.T
7#,+`.9 oA ,^,i, := .fj,~,;,,., c
/fog a. ; i± -,-, 7 , Jfro`)i. 7 ..-, :-, ,7. al=,-,a a'` I 4 -
~,7' ,-:1 -i., ` 4•, ;a,, . +
3 _ _ --L-- `£
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-.- /
Z
a:---- i /-/ I ,;:?, /{9
I:=Sgr z ;< , /_ '::,r'¥ie4`_~,
€,
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-- / 6 tz,7-i i
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i__==
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f`rfu=- ?i\
--,,--- `,-; --
<£,-,I
O,00#2fi„.(.`//Zff;jft
-_ - #, ,a G /cT
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-- ,r` ---------.- lf*=-?:`,,A ---,- ` --tr. ,1BJJa
I ,J1.-+_ / , , -? 3
i +;I //,..}[-,
'- ; ;=7£- ,;;i --.,,--
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E5=
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40. A 0.0997 A4solution of a particular monoprotic weak acid, HA, hasis AGO `ior the following equilibrium?
HA(og) + H20(J) = H30+(c!g) + A-(c}g)
A) 28.5kJ8) 34.2kJC) 620kJD) 5.71 kJ
62.7 kJ
r#\ '^,_,
-1 +_
• ~\ `_
ID:A
a pH of 6.00 at 298 K. What
\
I-'pe4fi -.--n= :,=, A A, 4'9
r'^` i;`,. /iffSft,: ffdrt:`or
-- / if ; :J
c,';-i_7i7 ,
id;ggp¥?¥3=::e¥nalM4;a/a:-= ~ i-a,ifej,3:`-G'u_;:``\;/: -„: <f¢ *` if>`:-i sf:-rag-.;-.
A strip of iron is placed in a 1 A4 solution of iron(II) sulfate, and a strip ofdipifeii3~-i-laced in asolution of copper(II) chloride. The two solutions are connected with a salt bridge, and the two
::u:i+:;:gi;e:ico;ne::e±:;::u;:)::n[re EoOo:4:.r)¥_f'= f p /i ~ai `l-I+:i -- ;::r` r. r -,,--.,, a
X;hjcshu#h:e:0:::t¥£ant8t£¥±::np]ea]:::rode.„,A+`^AH~+2£=/,3alG,z=rl
a;E:;pFeert[a[tj6£ing::gen;:~:i:::==:±:±rg]f.Ce[[decreases.;„£#-¥ctrode.:j„onne is produced at the
E) Chlorine is produced at the iron electrode.f3/$7
42. Which reaction would be most likely to occur at the anode of a voltaic cell?<_,_ ------ I-- i ------.---.---- _*i®
A) Pbs04(s) + 2e- + Pb(s') + S042-(c!g)8).C) 2H20(0..2 02(g) + 4H+(c7g)D|~~Pbs04(s)ipb2+(clg)+S(E) 2H200 + 2H2(8) + 02(8)
.'j,,
al c,f:2#9 ;:-+rf -re coTh-`r+3:.,v' ;;`F`\r
I::;` :`-' 43J,I-jJ,,A ---` i-> /;,:;,:)I 'F`
•3t::p±;fr-o-``ffi-
C3`/frorfeaS CjapA ~!: I/ ,fi-i :- < /_ f f:i:`;T:.
10
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J£ 43.
I.:,
',
•7,f#?#,giv
Which of the following statements is true concerning the voltaic cell shown below?
ID:A
#_grhecucathodemassincreasesasthecell8) The Cu anode mass decreases as the cell discharges. /# A+.`C) The Cu anode mass increases as the cell discharges. ¢'.,' {D) The Cu cathode mass decreases as the cell discharges.f;r,E) The mass of the Cu electrode neither increases nor decreases as the cell #-€`
discharges.
44. Which of the following statements is true concerning half-cell I as the voltaic cell shown belowdischarges?
[Cl| increases with time._,-.--.-`
`.`.`:_,-~-i e-i/i:-'\ if/a ,'. :Frfj.-a:se.r f a,;z:€~rS::
i,I . +;__ ,,.. a.,#4 ,/,,,-:--,8) [zn2+I decreases with time, and [C1-I increases with time/Jf' 23~7LLZF /,If.¢.pco4G;
C) [Zn2+] decreases with time, and [Cl| decreases with time/>`yj7f,,I
D) [Zn2+] decreases with time, and [N03| increases with tinrfe';9
E) [Zn2+] increases with time, and [N03-] increases with timed,;`f':.i
11
f7_3pg-f ,z=f4; ,;// -,,.,,,€;-
¢#,&gz#3; e
`:.'--.-
\-~--
-= frii€-- - i::i-I
i i ;:£„ -'.?;£:fi::-F -;?.a i;®g ,;_T:: -t:':f t`':;9 :;a ':'_: ft--t~_-
> ,`.j ;;` t~_/@r`/,©) i r:*xp.^al`:`' -:=A 3::£=er ;
Es±{, _ ,§A,:ctf i,' «£. i.`-;.!r--.p±`
7o i)rL-4r-
FL/ rff i+.fi::I i
~c{Rflff- i-
+,<- , , _i!
s=23,;a:I-1__:?__E-
-- (+= .--.-- eg,)g££ ,--,1-i,--i,==-i.-.„-,.7-o==--i:=±f ;:;J=:-i--:;f£,;;,, -== -az=-a,,zC
/(_ = i 7 €~',,7 /se __ Sr= Ep?F7~ ys ^ i;/ }_----..A----_-.L
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45. In tp,g fi9l|owi.ng electrocp,:¥:i,%lcell, what is the reduction half reaction?
ID:A
Mn(I) I Mn2+(czg) || Fe3+(clg), Fe2+(czg) I Pt(£)
A) Fe3+(czg) + e-i Fe2+(czg)8) Fe2+(c;g)-+ e-i Fe3+(c7g)C) Fe2+(crg) + Pt(a) i Fe3+(czg) + eD) Mn2+(czg) + Mn(f) + 2e-E) Mn(s) i Mn2+(czg) + 2e-
f=p- :ir i-: -r /;:ir+-;:
46. What is the cell notation for the voltaic-cell shown below?
A) Zn2+(czg) I Zn(s) || Cu2+(c!g) I Cu(s)8) Zn(s) I Zn2+(czq) || Cu(s) I Cu2+(czg)
:;,i:--Z;::-:::-.-...-;-:.:I-,:;.,.:I:::.i-:.:::i::::::i-:I:-:i..i-:::.:(i-::-:-:;:i
47. The cell potential of an electrochemical cell with the cell reaction
£]{::3+#iga)t3:t:?(i)ail:I:+i"eel)ect'rical
1,`r
;O,-n-s#1-oiT\8)-` -2.9 X |o3-i
C) -1.7x|o4I
D) -6.4x|06T
E) -2.4x|o5T
\>
work obtainable from this cell when 2;±9j=j2£iAl is
•` ,7 Ofsef2p:•-i---- 4J`) == ---- J [S,iv! :-:::-;-f i
>-``- ey+ ,. a
•),? ,.-,i .; ':`
-(i ,7 a-X. ,I {J
--ft,--77: ;-,,i :i ,/fff,:=:fr
-I
•3`--LT=- I_-+I--4_ , .,/~ ,6r<ch/. -j ~ /~
12
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constructed from half cells with the following half reactions? 4~'
zrf2+¢aq)+2{ >zrtys) Ep--cO.]63v 7 :#g4-.?f29 f~=£:~ >=
ID:A
i 48. What is the balanced spontaneous reaction and s±aLp§g±4_£;s±Lp4e~T±j±Lofan electrochemical cell
-c`--ifc{-„ /,{ ,JT=`,I
•== -r},,r. „ tee -,-- ;%:-/+-,-
-_±©,&F3ififEJT°Tft+a,_-of/
pb2+tog,+2e_ +Pbts, Eo=_o.]3ovt,j#_r,~,ddt
Pb2+(c7g) + Zn(s) i Pb(s) + Zn2+(c}g);¥--y=L`8) Pb(5) + Zn2+(czg) i Pb2+(c}g) + Zn(a); -0.633 VC) Pb2+(czg) + Zn2+(c7g) + Pb(a) + Zn(s); -0.893 VD) Pb2+(czg) + Zn(s) i Pb(s) + Zn2+(czg); 0.317 VE) Pb(s) + Zn2+(czg) i pb2+(czg) + Zn(s); -0.317 V
49. If the cell is initially at standard-state conditions,
iEwhich of the following statements is true?
a.' ,,.- ` ,, \`, -,i
--E`--~`
Er:- a: €= -) ,,-,.--; -,--,::,f i-:•-: -,..- A gr :=i<,; r:
•.--,, `-,-:±fy. 3 i,±
`\\\• ie .&:,-`,`.
i
~eJ-t)
Z;rr2.+(aqh + 2er = rz;"(s).> FJ = ".]6V fa--i: >_`,/!± -~ , t._3
= Cu(S);E°=0.34V f'4`.<`i-'`'aq) + 2er =itially AG = -212 kJ, and it will become more positive with time.
Initially AG i =2T2. kJ, and it will not change with time.C) Initially AG = 212 kJ, and it will become more negative with timeD) Initially AG = 212 kJ, and it will become more positive with time.E) Initially AG = -212 kJ, and it will become more negative with timHEill
50. What is E of the following cell reaction at 25°C? E°ceii = 0.460 V.
cu2+(0.Oi7rty Ag+(0.18A4)|Ag(s)
o.46.§,y:5cCC?=z=?,-` %|i;-:2-:-Z,-t, c =i%-'
C) 0.460V
.. ./.C): :-{:.i , f4-
1 " I,Jfe{~i;.+7,q,,Eg\n
D) o.49oV =-1^ ,-J ---- Z,,/ `r,/``-I- ,f ,,J :,::` :`=
LJ3=:- r? ;, .;,fr;;: ,I, -i..- jc-- >p
13
E) 0.479V
/,4I, I c/-,,`[.;. a.JO
i :i-,,:',,f i.v ;,-fl, i:
/ i--i,,~~F€-= ,g
.7:) I
i- # :i sP-es
egst=``