(a) (i) State Kohlrausch's law of independent migration of ions. Write an expression for the limiting molar conductivity of acetic acid according to…

State Kohlrausch's law of independent migration of ions. Write an expression for the limiting molar conductivity of acetic acid according to Kohlrausch's law.

Calculate the maximum work and $\displaystyle \log \mathrm{K}_{\mathrm{c}}$ for the given reaction at $\displaystyle 298$ K: \[\mathrm{Ni}(\mathrm{~s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{Ni}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{~s}) \] Given: $\displaystyle \mathrm{E}_{\mathrm{Ni}^{2+} / \mathrm{Ni}}^{\circ}=-0.25 \mathrm{~V}, \quad \mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^{\circ}=+0.80 \mathrm{~V}$ \[1 \mathrm{~F}=96500 \mathrm{C} \mathrm{~mol}^{-1} \]

State Faraday's first law of electrolysis. How much charge, in terms of Faraday, is required for the reduction of $\displaystyle 1 \mathrm{~mol} \mathrm{Cu}^{2+}$ to Cu?

Calculate emf of the following cell at $\displaystyle 298$ K for \[\begin{aligned} & \mathrm{Mg}(\mathrm{~s})\left|\mathrm{Mg}^{2+}(0 \cdot 1 \mathrm{M}) \| \mathrm{Cu}^{2+}(0 \cdot 01 \mathrm{M})\right| \mathrm{Cu}(\mathrm{~s}) \\ & {\left[\mathrm{E}_{\text {cell }}^{\circ}=+2 \cdot 71 \mathrm{~V}, \quad 1 \mathrm{~F}=96500 \mathrm{C} \mathrm{~mol}^{-1}, \quad \log 10=1\right]} \end{aligned} \]