(a) What type of a cell is the lead storage battery ? Write the anode and the cathode reactions and the overall reaction reaction occuring in a lead storage battery while operating .
(b) A voltaic cell is set up at `25^(@)C` with the half-cells , `Al|Al^(3+) (0.001M)` and `Ni| Ni^(2+) (0.50 M)`. Write the equation for the reaction that occurs when the cell generates an elastric current and determine the cell potential.
(Given : `E_(Ni^(2+)|Ni)^(@) = -0.25 V , E_(Al^(3+)|Al)^(@) = -1.66V`).

Explanation

Lead storage battery is a secondary cell.
Cell reactions during operation

At anode : `Pb_(s) + SO_(4)^(2-)(aq)rightarrow 4_(s)+ 2e^(-)`
At cathod : `PbO_(2)(s) + SO_(4)^(2)_(aq)+ 4H_(aq)^(+) 2e^(-) rightarrow PbSO_4(s) + 2H_(2)O`
Overall reaction: `Pb_(s) + pbo_(2(s)) + 2H_(2) SO_(4)^(2-) to 2PbSO_(4(s)) + 2H_(2)O`