For the cell reaction , `Ni_(s)| Ni _((aq))^(2+) | |Ag_((aq)) |Ag_((s))`
Calculate the equilibrium constant at `25^(@)C`. How much maximum work would be obtained by operation of this cell?
`E_(Zn^(2+)//Zn)^(@)=-0.25V` and `E_(Ag^(+)//Ag)^(@)=0.80V`

Explanation

To solve the problem, we need to calculate the equilibrium constant (K) for the given electrochemical cell reaction and the maximum work (ΔG) that can be obtained from it.

### Step-by-Step Solution:

1. **Identify the half-reactions**:
- The oxidation half-reaction (anode):
\[
\text{Ni} \rightarrow \text{Ni}^{2+} + 2e^{-}
...