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Homework Statement
Consider a Galvanic Cell composed of one half-cell containing 0.050 M copper(II) sulfate with a copper electrode and another half-cell containing an unknown concentration of aluminum chloride, AlCl3, and an aluminum electrode.
a. Write the Nernst equation for this galvanic cell, replacing as many variables as possible with numbers.
b. What concentration of AlCl3 would be necessary for the log term in the Nernst equation to equal zero.
The Attempt at a Solution
a. 2Al + 3Cu2+ -> 2Al3+ + 3Cu
Delta E standard = E(cathode) - E(anode) = .3402 - -1.706 = 2.0462
Delta E = E standard - .05917 / n (log Q)
Delta E = 2.0462 - (.05915/6) log( (Al3+)^2 / (Cu2+)^3 )
b. log( (Al3+)^2 / (Cu2+)^3 ) = 0
(Al3+)^2 / (Cu2+)^3 = 1
(Al3+)^2 / (.05)^3 = 1
Al3+ = .0118 M
Is this correct?