Calculating cell potential and reduction potentials

Question

Assignment:

Question 1. Consider the following reaction at 25^o C, [Al3+] = 2.0 M and [Zn2+] = 1.0M

2 Al (s) + 3 Zn²⁺ (aq) à 3 Zn (s) + 2 Al³⁺ (aq)

a) Predict if the cell potential, E_cell > E^o_cell or E_cell < E^o_cell. Explain why.

b) Calculate E^o_cell given the half-reduction potentials.

Zn²⁺ (aq) + 2 e- à Zn (s)                                E^o = -0.76 V

Al³⁺ (aq) + 3 e- à Al (s)                                 E^o = -1.66 V

c) How many electrons are transferred in the reaction?

d)   Calculate E_cell for the reaction using the Nernst equation.

Provide complete and step by step solution for the question and show calculations and use formulas.