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Question

For which cell e.m.f. is independent of the concentrations of electrolytes used?

A
Fe|FeO(s)|KOH(aq)|NiO(s)|Ni2O3(s)|Ni
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B
Pt(H2)|HCl|Pt(Cl2)
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C
Zn|Zn(NO3)2||CuSO4|Cu
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D
Hg,HgCl2|KCl||AgNO3|Ag
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Solution

The correct option is A Fe|FeO(s)|KOH(aq)|NiO(s)|Ni2O3(s)|Ni
EMF of cell,
Fe|FeO(s)|KOH(aq)|NiO(s)|Ni2O3(s)|Ni
Anode: Fe(s)+2OHFeO(s)+H2O(l)+2e
Cathode: Ni2O3(s)+H2O(l)+2e2NiO(s)+2OH

So according to Nernst equation, emf of cell is
Ecell=EoOPFe/FeO0.0592log10[H2O][oH]2+EoRPNi2O3/NiO+0.0592log10[H2O][OH]2
Ecell=EoOPFe/FeO+EoRPNi2O3/NiO which is independent of conc. of ions in solution.

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