If for the cell reaction,

$$ \mathrm{A}_{(\mathrm{s})}+\mathrm{B}_{(\mathrm{aq})}^{+} \longrightarrow \mathrm{A}_{(\mathrm{aq})}^{+}+\mathrm{B}_{(\mathrm{s})} $$

if $\mathrm{E}_{\text {cell }}^{\circ}=0.0592 \mathrm{~V}$. What is equilibrium constant of reaction at 298 K ?

The conductivity of 0.1 M KCl solution at $23^{\circ} \mathrm{C}$ is $0.012 \Omega^{-1} \mathrm{~cm}^{-1}$.

Resistance of a cell containing the solution at same temperature was found to be $50 \Omega$. Calculate the cell constant.

Identify the electrolyte from following so that $\wedge_0$ is not obtained from the graphical variation of $\wedge$ against $\sqrt{\mathrm{C}}$ ?

The molar conductivity of 0.02 M HCl is $408.4 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ at $25^{\circ} \mathrm{C}$. Calculate it's conductivity.