How to Calculate the Nernst Potential for a Lead Storage Battery?

[cuttooth]

Homework Statement

For the lead storage battery the overall reaction is:
Pb(solid) + PbO2(solid) + 2H+ + 2HSO4- --> 2PbSO4(solid) + 2H2O(liq.) for which standard potential, E°, is 2.04 volts.

Calculate E for this battery when the concentration of H2SO4 is 8.1 M, that is both H+ and HSO4- = 8.1 M.

Homework Equations

Nerst Equation:

E = E° - 0.0257/n * ln K

Equilibrium Constant:

K= [H2O]^2 / [H+]^2[H2SO4-]^2

The Attempt at a Solution

E = 2.04 V - 0.0257/2 * ln [H2O]^2/[8.1]^2[8.1]^2First off, I am confused as to whether the molarity of H2O is required for the calculation, or whether it is not used to calculate the equilibrium constant K. Secondly, in the wording of the problem where it says both H+ and HSO4- = 8.1M, does this mean that 8.1M solutions were prepared for each, or the two combined equals an 8.1M solution?

Assuming the molarity of H2O is not required, would the K be calculated as

K = [8.1]^2[8.1]^2 and then fit into the equation to calculate E? I'm a bit lost and some clarification would help. Thank you!

 

[Barfolumu]

My first point is a little nitpicky, but it's important:

The Nernst Equation is...

E = E° - 0.0257/n * ln Q

Where Q is written like an equilibrium constant, except that the reaction is not necessarily at equilibrium.

If a rxn takes place in an aqeous solution, and water is part of that equation, do you normally write the equilibrium constant with water? What would the concentration of water be, and in what way is that related to the concentration of solids in an aqeous rxn?