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Question

Question: The reduction potential for the reaction, $Mg^{2+} + 2e^{-} \rightleftharpoons Mg(s)$ depends on:...

The reduction potential for the reaction, Mg2++2eMg(s)Mg^{2+} + 2e^{-} \rightleftharpoons Mg(s) depends on:

A

Temperature

B

The concentration of Mg2+Mg^{2+} ions

C

The length of magnesium plate

D

Whether it acts as cathode or anode in cell reaction

Answer

A, B

Explanation

Solution

The reduction potential for Mg2++2eMg(s)Mg^{2+} + 2e^{-} \rightleftharpoons Mg(s) is described by the Nernst equation: E=E+RT2Fln[Mg2+]E = E^{\circ} + \frac{RT}{2F} \ln [Mg^{2+}]. This equation explicitly shows dependence on Temperature (T) and the concentration of Mg2+Mg^{2+} ions ([Mg2+][Mg^{2+}]). Electrode potential is an intensive property, so it does not depend on the physical dimensions (like length) of the electrode. The role of an electrode (cathode or anode) in a cell is determined by its potential, not a factor that influences the potential itself.