Chemistry - Electrochemistry Question with Solution | TestHub

$Pt\left(\mathrm{s}\right){\mathrm{H}}_2( \mathrm{g})\left(1\mathrm{bar}\right)\left|{\mathrm{H}}^{+}\left(\mathrm{aq}\right)\left(1\mathrm{M}\right)\right|\left|{\mathrm{M}}^{3+}\left(\mathrm{aq}\right),{\mathrm{M}}^{+}\left(\mathrm{aq}\right)\right|\mathrm{Pt}\left(\mathrm{s}\right)$

The ${\mathrm{E}}_{\text{cell }}$ for the given cell is $0.1115 \mathrm{V}$ at $298 \mathrm{K}$

When $\frac{\left[{\mathrm{M}}^{+}\left(\mathrm{aq}\right)\right]}{\left[{\mathrm{M}}^{3+}\left(\mathrm{aq}\right)\right]}={10}^{\mathrm{a}}$

The value of a is ___________

Given : ${\mathrm{E}}^{\theta }{}_{{\mathrm{M}}^{3+}/{\mathrm{M}}^{+}}=0.2 \mathrm{V}$

$\frac{2.303\mathrm{RT}}{\mathrm{F}}=0.059 \mathrm{V}$