(a) (i) What type of battery is the lead storage battery? Write the anode and the cathode reactions and the overall reaction occurring in a lead storage battery when current is drawn from it. (ii) Calculate the time to deposit $1.5\text{ g}$ of silver at cathode when a current of $1.5\text{ A}$ was passed through the solution of $\text{AgNO}_3$. [Molar mass of $\text{Ag} = 108\text{ g mol}^{-1}$, $1\text{ F} = 96500\text{ C mol}^{-1}$] OR (b) (i) State Kohlrausch’s law of independent migration of ions. Molar conductivity at infinite dilution for $\text{NH}_4\text{Cl}$, $\text{NaOH}$ and $\text{NaCl}$ solution at $298\text{ K}$ are $110$, $100$ and $105\text{ S cm}^2\text{ mol}^{-1}$ respectively. Calculate the molar conductivity of $\text{NH}_4\text{OH}$ solution. (ii) Calculate $\Delta G^{\circ}$ of the following cell at $25^{\circ}\text{C}$: $\text{Zn (s)} \mid \text{Zn}^{2+}\text{(aq)} \parallel \text{Cu}^{2+}\text{(aq)} \mid \text{Cu (s)}$ Given: $E^{\circ}_{\text{Zn}^{2+}/\text{Zn}} = -0.76\text{ V}$ $E^{\circ}_{\text{Cu}^{2+}/\text{Cu}} = +0.34\text{ V}$ $1\text{ F} = 96500\text{ C mol}^{-1}$