The cell, $\mathrm{Zn}\left|\mathrm{Zn}^{2+}(1 \mathrm{M}) \| \mathrm{Cu}^{2+}(1 \mathrm{M})\right|…
The cell, $\mathrm{Zn}\left|\mathrm{Zn}^{2+}(1 \mathrm{M}) \| \mathrm{Cu}^{2+}(1 \mathrm{M})\right| \mathrm{Cu}\left(\mathrm{E}_{\text {cell }}^0=1.10 \mathrm{~V}\right)$, was allowed to be completely discharged at $\mathrm{298~K}$. The relative concentration of $\mathrm{Zn}^{2+}$ to $\mathrm{Cu}^{2+}\left[\frac{\left[\mathrm{Zn}^{2+}\right]}{\left[\mathrm{Cu}^{2+}\right]}\right]$ is
antilog $(24.08)$
$37.3$
$10^{37.3}$
$9.65 \times 10^4$
Solution
$\begin{aligned}
& \mathrm{E}_{\mathrm{cell}}=\mathrm{E}_{\mathrm{cell}}^{\circ}-\frac{0.0591}{\mathrm{n}} \log \mathrm{Q} \\
& \text { Where } \mathrm{Q}=\frac{\left[\mathrm{Zn}^{2+}\right]}{\left[\mathrm{Cu}^{2+}\right]}
\end{aligned}$
For complete discharge $\mathrm{E}_{\text {cell }}=0$
So $\mathrm{E}_{\text {cell }}^{\circ}=\frac{0.591}{2} \log \frac{\left[\mathrm{Zn}^{2+}\right]}{\left[\mathrm{Cu}^{2+}\right]}$
$\Rightarrow\left|\frac{\left[\mathrm{Zn}^{2+}\right]}{\left[\mathrm{Cu}^{2+}\right]}\right|=10^{37.3}$
Hence, (C) is correct.