
Michael V. answered 05/12/19
Undergraduate General Chemistry TA
We'll assume this is a galvanic cell. In which case we want Eocell > 0 so that ΔG < 0 for the reaction (recall that ΔGo = -nFEo).
Since Eocell = Eocathode - Eoanode we should manipulate our half reactions to get a positive result.
Note that in the equation above, the subtraction sign is necessary since one of the reactions is an oxidation. If we designate the Au half reaction as the cathode we have:
Eocell = 1.50V - 0.77V = +0.73V
You can see that if we chose the Fe half reaction as the cathode, we would get a negative answer, so we know we have the correct cathode and anode at this point. The cell notation is then
Pt | Fe2+, Fe3+ || Au3+ | Au
Where the anode half reaction is on the left and the cathode half reaction is on the right. Since both Fe2+ and Fe3+ are ions, they are in solution and we use a Pt electrode.
Oxidation takes place at the anode and in this case is happening around the Pt electrode. Reduction takes place at the cathode and is happening around the Au electrode.