The Nernst equation for a galvanic cell at 25°C is:

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Multiple Choice

The Nernst equation for a galvanic cell at 25°C is:

Explanation:
The key idea is that the Nernst equation links the actual cell potential to the standard potential and the reaction quotient, with a temperature-dependent factor that converts the natural logarithm to base-10 logarithm. At 25°C, that factor is 0.05916 V per electron transferred, and the equation carries a minus sign. So the correct form is E = E°cell − (0.05916/n) log10(Q). The minus sign means the cell potential decreases as Q increases (more products relative to reactants). By definition, Q = activity of products over activities of reactants, with solids and pure liquids omitted. When Q = 1, E = E°cell, and as the reaction shifts toward products (Q grows), E drops accordingly. The other options are off for these reasons: a plus sign would imply the potential increases with Q, which isn’t correct for a galvanic cell; using 0.594 instead of 0.05916 is off by a factor of 10; and a form that rearranges the same factors is generally written in the standard way above, which is the conventional presentation.

The key idea is that the Nernst equation links the actual cell potential to the standard potential and the reaction quotient, with a temperature-dependent factor that converts the natural logarithm to base-10 logarithm. At 25°C, that factor is 0.05916 V per electron transferred, and the equation carries a minus sign.

So the correct form is E = E°cell − (0.05916/n) log10(Q). The minus sign means the cell potential decreases as Q increases (more products relative to reactants). By definition, Q = activity of products over activities of reactants, with solids and pure liquids omitted. When Q = 1, E = E°cell, and as the reaction shifts toward products (Q grows), E drops accordingly.

The other options are off for these reasons: a plus sign would imply the potential increases with Q, which isn’t correct for a galvanic cell; using 0.594 instead of 0.05916 is off by a factor of 10; and a form that rearranges the same factors is generally written in the standard way above, which is the conventional presentation.

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