(a) Calculate Δ_r G^° for the cell reaction at 25°C: Zn | Zn^2+ ∥ Cd^2+| Cd Given that: E_Zn^2+ / Zn^°=-0.76 V, E_Cd^2+ / Cd^°=0.40 V; 1 F =96500 C…

Calculate $\displaystyle \Delta_{\mathrm{r}} \mathrm{G}^{\circ}$ for the cell reaction at $\displaystyle 25$°C: \[\mathrm{Zn}\left|\mathrm{Zn}^{2+} \| \mathrm{Cd}^{2+}\right| \mathrm{Cd} \] Given that: \[\begin{aligned} & \mathrm{E}_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{\circ}=-0.76 \mathrm{~V}, \quad \mathrm{E}_{\mathrm{Cd}^{2+} / \mathrm{Cd}}^{\circ}=0.40 \mathrm{~V} \\ & 1 \mathrm{~F}=96500 \mathrm{C} \mathrm{~mol}^{-1} \end{aligned} \]

The electrical resistance of a column of $\displaystyle 0.05 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{NaOH}$ solution of diameter $\displaystyle 1$ cm and length $\displaystyle 50$ cm is $\displaystyle 5.55 \times 10^{3}$ ohm. Calculate the conductivity.