Question

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

2) The Energizer bunny in the television commercial "keeps going and going." What property of the battery (voltaic cell) is being featured in this commercial?

Answer 1

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

Pb(+2) +2e- = Pb(s)
no of electrons involved, n = 2
1 mole of Pb requires 2 Faraday of charge to deposit.
Molar mass of Pb = 207.2 g/mol
207.2 g of Pb will be deposited by 2 Faraday of electricity.
1 g of Pb will be deposited by 2/207.2 = 0.00965 Faraday of charge.

Charge of 1 mole of electron = 1F = 96485.3 C
Charge 0.00965F, Q = 0.00965*96485.3 = 931 couloumbs
Current, I = 0.5 A
Charge, Q = I*t
time, t = Q/I = 931 /0.5 = 1862 s = 1862/3600 = 0.52 h

2) The Energizer bunny in the television commercial "keeps going and going."
What property of the battery (voltaic cell) is being featured in this commercial?

It refers to the charge/discharge cycle. It can withstand very large charge/discharge cycle without
flaking off PbSO4.