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Question

At equimolar concentrations of Fe2+ and Fe3+, what must [Ag+] be so that the voltage of the galvanic cell made from Ag+/Ag and Fe3+/Fe2+ electrodes equals zero? The reaction is Fe2++Ag+Fe3++Ag. Determine the equilibrium constant at 25C for the reaction. (Given: EAg+/Ag=0.799 volt and EFe3+/Fe2+=0.771 volt).

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Solution

Ecell=EFe2+/Fe3++EAg+/Ag
=0.771+0.799=0.028 volt
At equilibrium, Ecell=0
0=Ecell0.05911log[Fe3+][Fe2+][Ag+]
=Ecell0.0591log1[Ag+]
[Ag+]=0.34
logK=nE0.0591;K=3.0.

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