For the cell `Mg_((s))|Mg_((aq))^(++)||Ag_((aq))^(+)|Ag_((s))`
Calculate the equilibrium constant at `25^@C` and the maximum work that can be obtained during operation of cell. Given `E_(Mg//Mg^(+2))^(0)=2.37V & E_(Ag^(+)//Ag)^(0)=+0.890 VR=8.314J`

Explanation

To solve the problem step by step, we will calculate the equilibrium constant (K) and the maximum work (W) that can be obtained during the operation of the cell.

### Step 1: Identify the half-reactions and their standard electrode potentials
The cell notation is:
\[ \text{Mg}_{(s)} | \text{Mg}^{2+}_{(aq)} || \text{Ag}^{+}_{(aq)} | \text{Ag}_{(s)} \]

The half-reactions are:
1. Oxidation:
...