(a) Following reactions occur at cathode during the electrolysis of aqueous silver chloride solution: $\mathrm{Ag}^{+}(\mathrm{aq}) + \mathrm{e}^{-} \rightarrow \mathrm{Ag}(\mathrm{s})$ $\;E^{\circ}=+0.80\;\mathrm{V}$ $\mathrm{H}^{+}(\mathrm{aq}) + \mathrm{e}^{-} \rightarrow \frac{1}{2}\mathrm{H}_2(\mathrm{g})$ $\;E^{\circ}=0.00\;\mathrm{V}$ On the basis of their standard reduction electrode potential $(E^{\circ})$ values, which reaction is feasible at the cathode and why? (b) Define limiting molar conductivity. Why conductivity of an electrolyte solution decreases with the decrease in concentration?