Pt (s)|H_2(g)(1 b a r)| H^+(a q)(1 M) ∥ M^3+(a q), M^+(a q) ∣ Pt (s) The E_cell for the given cell is 0.1115 V at 298 K when ([M^+(a q)])/([M^3+(a…

$$\operatorname{Pt}(s)\left|H_2(g)(1 b a r)\right| H^{+}(a q)(1 M) \| M^{3+}(a q), M^{+}(a q) \mid \operatorname{Pt}(s) $$ The $\displaystyle \mathrm{E}_{\text {cell }}$ for the given cell is $\displaystyle 0.1115$ V at $\displaystyle 298$ K when $\displaystyle \frac{\left[M^{+}(a q)\right]}{\left[M^{3+}(a q)\right]}=10^a$ The value of $\displaystyle a$ is $\displaystyle \_\_\_\_$ $$\begin{aligned} & \text { Given : } \mathrm{E}_{\mathrm{M}^{3+} / \mathrm{M}^{+}}^\theta=0.2 \mathrm{~V} \\ & \frac{2.303 R T}{F}=0.059 \mathrm{~V} \end{aligned} $$