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25. An electrochemical cell operates reversibly. If its temperature coefficient is mathematically poElectrochemistry Chemistry Question

Question

25. An electrochemical cell operates reversibly. If its temperature coefficient $(\partial E^\circ / \partial T)_P$ is mathematically positive, what does this strictly imply about the standard entropy change ($\Delta S^\circ$) of the cell reaction?

Answer: B

💡 Solution & Explanation

By the Gibbs-Helmholtz relation for electrochemical cells, $\Delta S^\circ = nF(\partial E^\circ / \partial T)_P$. Since n and F are positive constants, a positive temperature coefficient mandates a positive standard entropy change.

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