The `EMF` of the following cellis `1.05V` at `25^(@)C:`
`Pt,H_(2)(g)(1.0 atm)|NaOH(0.1m),NaCl(0.1M)|AgCl(s),Ag(s)`
`a.` Write the cell reaction,
`b.` Calculate `pK_(w)` of water.

Explanation

To solve the given question, we will break it down into two parts:

### Part (a): Write the cell reaction

1. **Identify the half-reactions**:
- At the anode (oxidation): Hydrogen gas (H₂) is oxidized to hydrogen ions (H⁺).
\[
\text{Anode: } \frac{1}{2} \text{H}_2(g) \rightarrow \text{H}^+(aq) + e^-
...