Textbook Problem

An electrochemical cell is set up using the following unbalanced reaction:

${\text{M}}^{a+}\left(aq\right)+\text{N}\left(s\right)\to {\text{N}}^{2+}\left(aq\right)+\text{M}\left(s\right)$

The standard reduction potentials are:

The cell contains 0.10 M N²⁺ and produces a voltage of 0.180 V. If the concentration of M^a+ is such that the value of the reaction quotient Q is 9.32 × 10⁻³, calculate [M^a+]. Calculate w_max for this electrochemical cell.