Calculate the standard reduction potential for the reaction `H_2O+ e to 1/2 H_2+OH^-` using the Nernst equation and the fact that the standard reduction potential for the reaction `H^+ + e to 1/2 H_2` is by definition equal to 0.00V at `25^@C`

Explanation

To calculate the standard reduction potential for the reaction:

\[ \text{H}_2\text{O} + e^- \rightarrow \frac{1}{2} \text{H}_2 + \text{OH}^- \]

we will use the Nernst equation and the known standard reduction potential for the hydrogen electrode reaction:

\[ \text{H}^+ + e^- \rightarrow \frac{1}{2} \text{H}_2 \quad (E^\circ = 0.00 \, \text{V}) \]

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