Here is how the lead-acid battery in a car works:
The anode of each cell is metallic lead, Pb. The cathode is solid lead oxide, PbO2. The electrolyte is sulfuric acid, H2SO4 (which is dissociated into hydrogen (H+) ions and hydrogen sulfate (HSO4-) ions in solution.)
When electrons are allowed to flow (when the battery is under load) this reaction takes place at the anode (- side):
Lead metal is oxidized to bivalent Pb(II), giving up 2 electrons, and reacts with sulfate ion (SO42-) to form lead sulfate and a hydrogen ion:
Pb + SO4²¯ → PbSO4 + 2e- + H+
The reduction potential of this reaction is +0.356 Volts.
Simultaneously at the cathode (+ side):
The lead in lead oxide is reduced from tetravalent Pb(IV) to bivalent Pb(II) when the lead oxide reacts with sulfate ions in the electrolyte and hydrogen ions, accepting electrons to form lead sulfate and water:
PbO2 + SO4²¯ + 4 H+ + 2 e- → PbSO4 + H2O
The potential of this reaction is 1.685 volts.
Combined, these two half reactions make up the redox reaction
Pb + PbO2 + 2H2SO4 → 2 PbSO4 + 2 H2O
Two electrons were liberated at the anode and flowed through the external circuit to the cathode. The total potential of the reaction is about +2 volts. A 12-volt car battery therefore has six cells in series, each contributing two volts for a total electric potential of 12 volts.