🤓 Based on our data, we think this question is relevant for Professor Blankenship's class at UGA.

The cell diagram of the process is:

Pb_{(s)} l PbSO_{4(s)} l H_{2}SO_{4(aq)} l PbO_{2(s)}, PbSO_{4(s)} l Pb_{(s)} (nonreactive)

Where

The left-hand Pb_{(s)} is one plate

PbSO_{4(s)} is a solid in the left-hand plate

H_{2}SO_{4(aq)} is the electrolyte

PbO_{2(s)}, PbSO_{4(s)} is a mixture of solids covering the right-hand plate

Pb_{(s)} is the non-reactive right-hand plate

Because the right-hand cell is covered in a mixture (and hence, is non-reactive), we consider PbO_{2(s)} as the right-hand plate.

The cell diagram for the lead-acid cell that is used in automobile and truck batteries is

Pb(s) l PbSO_{4} (s) l H_{2}SO_{4} (aq) l PbO_{2}(s), PbSO_{4}(s) l Pb (s)

where the comma between PbO_{2} (s) and PbSO_{4} (s) denotes a heterogeneous mixture of the two solids and the right-hand lead electrode is nonreactive.

a, Write a balanced equation for the net cell reaction:

b. Look up standard potentials for the oxidation and the reduction reactions, then calculate the value of E°_{cell}.

c. Calculate the value of ΔG°_{rxn}

d. Calculate the value of E_{cell} at 25°C is [H_{2}SO_{4}] = 10.0M

e. How many lead-acid cells are in a 12 V car battery? Round to the nearest integer.