The number of incorrect statements from the following is ____ A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy. B. $\mathrm{E}_{\text {cell }}^{0}$ is dependent on the pressure C. $\frac{\mathrm{dE}^{0} \text { cell }}{\mathrm{dT}}=\frac{\Delta_{\mathrm{r}} \mathrm{S}^{0}}{\mathrm{nF}}$ D. A cell is operating reversibly if the cell potential is exactly balanced by an opposing source of potential difference.

JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Redox Reactions and Electrochemistry

The number of incorrect statements from the following is ____
A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy.
B.

E_{cell}^{0}

is dependent on the pressure
C.

\frac{dE ^{0} cell}{dT} = \frac{Δ _{r} S ^{0}}{nF}

D. A cell is operating reversibly if the cell potential is exactly balanced by an opposing source of potential difference.

Answer: 1

Solution

The electrical work a reaction can deliver at constant temperature and pressure equals the reaction Gibbs energy, so the first statement is correct. The standard cell potential is defined at standard states and depends only on temperature, not on pressure, so the second statement is wrong. The temperature coefficient of the standard cell potential equals

Δ_{r} S^{0} / n F

, which follows from

Δ G^{0} = - n F E_{ce l l}^{0}

, so the third statement is correct. A cell operates reversibly when its potential is exactly balanced by an equal opposing external potential, so the fourth statement is correct. Only one statement is incorrect.

JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Integer answer

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JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Redox Reactions and Electrochemistry

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