If, in using a lead-acid battery to start a car, 1.00 gram of Pb is consumed on the anode, how long will it take to recharge the battery using a current of 0.500 amps to turn the PbSO₄ that was produced back into Pb?

Question

Quizplus · Accepted Answer

To recharge the battery, the reaction at the anode is PbSO4 + 2e- → Pb + SO4^2-. The molar mass of Pb is 207.2 g/mol, so 1.00 g of Pb corresponds to 1.00/207.2 mol. Each mole of Pb requires 2 moles of electrons, so the total charge needed is (1.00/207.2) * 2 * 96485 C/mol. Using a current of 0.500 A, the time required is (1.00/207.2) * 2 * 96485 / 0.500 seconds, which converts to approximately 31.0 minutes.

If, in Using a Lead-Acid Battery to Start a Car