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The cell Zn|Zn2+(1M)||Cu2+(1M)|Cu(Ecello=1.10 V), was allowed to be completely discharged at 298 K. The relative concentration of Zn2+ to Cu2+, [Zn2+Cu2+] is:

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a

antilog (24.08)

b

37.3

c

1037.3

d

9.65×104

answer is C.

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Detailed Solution

Ecell=Ecello−0.0591nlog⁡QWhere, Q=[Zn2+][Cu2+]For complete discharge Ecell=0So Ecello=0.05912log⁡[Zn2+][Cu2+]∴[Zn2+][Cu2+]=1037.3

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The cell Zn|Zn2+(1M)||Cu2+(1M)|Cu(Ecello=1.10 V), was allowed to be completely discharged at 298 K. The relative concentration of Zn2+ to Cu2+, [Zn2+Cu2+] is: