Concept: A lead storage battery (car battery) is a secondary (rechargeable) cell. It has a lead (Pb) anode and a grid of lead packed with lead dioxide (PbO2) as the cathode, both dipped in about 38% sulphuric acid (H2SO4) as the electrolyte.
Step 1: Discharging (working as a cell). While supplying current, oxidation occurs at the Pb anode and reduction at the PbO2 cathode.
At anode (oxidation):
\[ Pb + SO_4^{2-} \rightarrow PbSO_4 + 2e^- \]
At cathode (reduction):
\[ PbO_2 + 4H^+ + SO_4^{2-} + 2e^- \rightarrow PbSO_4 + 2H_2O \]
Overall discharge reaction:
\[ Pb + PbO_2 + 2H_2SO_4 \rightarrow 2PbSO_4 + 2H_2O \]
Both electrodes get coated with insoluble white lead sulphate (PbSO4) and sulphuric acid is used up, so the density of the acid falls.
Step 2: Charging (recharging). When an external current is passed in the opposite direction, the electrode reactions reverse; the cell now acts as an electrolytic cell and the PbSO4 is converted back to Pb and PbO2.
\[ 2PbSO_4 + 2H_2O \rightarrow Pb + PbO_2 + 2H_2SO_4 \]
The sulphuric acid is regenerated, so its density rises again, restoring the battery.
Result: On discharge, Pb and PbO2 both turn into PbSO4 and acid is consumed; on charging this is exactly reversed, regenerating Pb, PbO2 and H2SO4.