Give the half equations and then the overall balanced equation for Cu^2+/Cu (+0.54V) and Cl2/Cl^-1 (+1.36V)

Firstly we need to start with the half equations. When we write half equations we always started with reduction (gain in electrons): Cu2+ + 2e- → Cu (+0.54V) Cl2 + 2e- → 2Cl-  (+1.36V) It is good practice to write out the standard potential of the cell next to the half equation to make life easier when solving the question. Now that we have the half-equations, we need the overall balanced equation. Recall that the Gibbs Energy needs to be negative for a spontaneous reaction, hence using:  ΔG=-vFE (where v is the number of electrons transfered, F is Faraday's constant and E is the standard potential of the cell) we can see that the standard potential has to be positive. Standard potential is therefore: +1.36V - 0.54V = +0.82V Notice that the Cu2+/Cu- half cell has it's sign inverted (from + to -), we can show this in the overal equation as such: Cu → Cu2+ + 2e-  (-0.54V) Cl2 + 2e- → 2Cl-   (+1.36V) Overall: Cl2 + Cu → 2Cl- + Cu2+ The electrons are already balanced, hence this is the overall equation. 

Answered by Claire C. Chemistry tutor

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