How would you determine the standard reduction potential of the system `Mg^(2+)|Mg`?

Explanation

To determine the standard reduction potential of the system \( \text{Mg}^{2+} | \text{Mg} \), we can follow these steps:

### Step 1: Set Up the Electrochemical Cell
We will create an electrochemical cell where one electrode is magnesium (Mg) immersed in a 1 M magnesium sulfate (\( \text{MgSO}_4 \)) solution, and the other electrode is a standard hydrogen electrode (SHE). The SHE consists of hydrogen ions (\( \text{H}^+ \)) at 1 M concentration and hydrogen gas (\( \text{H}_2 \)) at 1 atm pressure, with a platinum electrode.

### Step 2: Write the Half-Reactions
For the magnesium electrode, the oxidation half-reaction is:
\[
...