Final answer:
The standard reduction potential for the half-reaction Mg²⁺(aq) + 2e⁻ → Mg(s) is -2.37 V, which is obtained by reversing the sign of the oxidation potential of Mg to Mg²⁺.
Step-by-step explanation:
The standard reduction potential (E) for the half-reaction Mg²⁺(aq) + 2e⁻ → Mg(s) is found by referring to standard reduction potential tables. As the potential for the oxidation of Mg to Mg²⁺ is 2.37 V under standard conditions, to find the potential for the reduction (the opposite reaction), we must reverse the sign. Therefore, the standard reduction potential for the reduction of Mg²⁺ to Mg(s) is -2.37 V.