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JEE Advanced 2025Chemistry Physical Chemistry

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mcq
2025
Official previous-year question

Verified 30 May 2026.

Question

For the cell $\text{Zn}|\text{Zn}^{2+}(0.01\text{M})||\text{Cu}^{2+}(1\text{M})|\text{Cu}$, if $E^{\circ}_{\text{cell}} = 1.1\text{V}$, the EMF at $298\text{K}$ is:

$(R = 8.314 \text{ J mol}^{-1}\text{K}^{-1},\; F = 96500 \text{ C mol}^{-1})$

Options

  1. A

    $1.1592 \text{ V}$

  2. B

    $1.0408 \text{ V}$

  3. C

    $1.1 \text{ V}$

  4. D

    $1.2184 \text{ V}$

Solution

Using the Nernst equation:

$$E = E^{\circ} - \frac{RT}{nF}\ln Q = E^{\circ} - \frac{0.0592}{n}\log Q$$

For $\text{Zn} + \text{Cu}^{2+} \rightarrow \text{Zn}^{2+} + \text{Cu}$, $n = 2$

$$Q = \frac{[\text{Zn}^{2+}]}{[\text{Cu}^{2+}]} = \frac{0.01}{1} = 0.01$$

$$E = 1.1 - \frac{0.0592}{2}\log(0.01) = 1.1 - 0.0296 \times (-2)$$

$$= 1.1 + 0.0592 = \boxed{1.1592 \text{ V}}$$

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