At `25^@C`, the reduction potential of hydrogen electrode is -0.118 V at 1 atm. What is the pH of acid solution used for the construction of the electrode?

Explanation

To find the pH of the acid solution used for the construction of the hydrogen electrode, we can follow these steps:

### Step 1: Understand the Nernst Equation
The Nernst equation relates the reduction potential (E) of an electrochemical cell to the standard reduction potential (E°) and the concentration of the reactants. For the hydrogen electrode, the equation can be expressed as:
\[ E = E° + \frac{0.059}{n} \log [\text{H}^+] \]
Where:
- \( E \) = reduction potential of the electrode
- \( E° \) = standard reduction potential
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