The standard reduction potentials of $A g, C u, C o$ and $Z n$ are $0.799, 0.337, - 0.277$ and $- 0.762 V$ respectively. Which of the following cells will have maximum cell e.m.f.?

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$Z n / Z n^{2 +} (1 M) / / C o^{2 +} (1 M) | C o$

$Z n / Z n^{2 +} (1 M) / / C u^{2 +} (1 M) / C u$

$Z n / Z n^{2 +} (1 M) / / A g^{+} (1 M) / A g$

$C u / C u^{2 +} (1 M) / / A g^{+} (1 M) / A g$

answer is B.

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Detailed Solution

Cell potential will be obtained by combining two half cells in which large difference between Standard reduction potentials values

According to data $\begin{matrix} E^{0}_{A g^{+} / A g} = 0.799 \\ E^{0_{}}_{C u^{+ 2} / C u} = 0.337 \\ E^{0}_{C o^{+ 2} / C o} = - 0.277 \\ E^{0}_{Z n^{+ 2} / Z n} = - 0.762 \end{matrix}$

$E^{0}_{A g^{+} / A g}$ --- $E^{0}_{Z n^{+ 2} / Z n}$ gives maximum EMF

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