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

Question

The cell diagram for the lead-acid cell that is used in automobile and truck batteries is Pb(s)|FbSO_4(s)|H_2SO_4(aq)|PbO_2(s), PbSO_4(s)|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 the 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 degree_cell. (c) Calculate the value of Delta G degree_rxn. (d) Calculate the value of E_cell at 25 degree C if [H_2SO_4] = 10.0 M. (e) How many lead-acid cells are in a 12 V car battery? Round to the nearest integer.

Explanation / Answer

Solution

Cathode PbO2 + 2e + 4H+ + SO4 2- ---> PbSO4 + H2SO4 E*cell = 1.685

Anode Pb + SO42- -----> PbSO4 + 2e E^cell = 0.355

Net Pb(s) + PbO2(s) + 2H2SO4(aq) ----> 2PbSO4 + H2SO4 E*net = 2.041

c) delta G = -nFEnet

= -2*96500*2.041

= -393.913 KJ/mol

d) E cell = 0.059/2 log [1/10] ^2

= -0.059 V

4) A total of 6 batteries will be required for a 12V battery in series connection

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