For a redox reaction that is non-spontaneous, which of the following is true under standard conditions?

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Multiple Choice

For a redox reaction that is non-spontaneous, which of the following is true under standard conditions?

Explanation:
The key idea is how standard electrochemical parameters reflect spontaneity. For a redox reaction under standard conditions, the sign of the standard cell potential tells you whether the written direction is spontaneous: a positive E°cell means the reaction tends to proceed on its own, while a negative E°cell means it does not and would go in reverse. If the reaction is non-spontaneous in the written direction, E°cell must be negative. That directly ties to Gibbs energy through ΔG° = −nF E°cell: with E°cell negative, ΔG° becomes positive, meaning the process requires energy input and is not spontaneous under standard conditions. Relating to the equilibrium constant, ΔG° = −RT ln K, a positive ΔG° implies ln K is negative, so K < 1. That indicates the equilibrium lies toward the reactants, consistent with non-spontaneity in the forward direction. In short, non-spontaneous in standard conditions corresponds to E° < 0, ΔG° > 0, and K < 1.

The key idea is how standard electrochemical parameters reflect spontaneity. For a redox reaction under standard conditions, the sign of the standard cell potential tells you whether the written direction is spontaneous: a positive E°cell means the reaction tends to proceed on its own, while a negative E°cell means it does not and would go in reverse.

If the reaction is non-spontaneous in the written direction, E°cell must be negative. That directly ties to Gibbs energy through ΔG° = −nF E°cell: with E°cell negative, ΔG° becomes positive, meaning the process requires energy input and is not spontaneous under standard conditions.

Relating to the equilibrium constant, ΔG° = −RT ln K, a positive ΔG° implies ln K is negative, so K < 1. That indicates the equilibrium lies toward the reactants, consistent with non-spontaneity in the forward direction.

In short, non-spontaneous in standard conditions corresponds to E° < 0, ΔG° > 0, and K < 1.

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