JEE Main 2023 — Chemistry Physical Chemistry

2023integermedium

The electrode potential of the following half cell at $298K$

$X|{X}^{2+}(0.001M)\|{Y}^{2+}(0.01M)|Y$ is _____ $\times {10}^{-2}V$ (Nearest integer)

Given : ${E}_{{X}^{2+}\mid X}^{0}=-2.36V$

${E}_{{Y}^{2+}Y}^{0}=+0.36V$

$\frac{2.303\mathrm{RT}}{F}=0.06V$

Official previous-year question

Held on 30 Jan 2023 · Verified 6 Jul 2026.

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Solution

The net cell reaction can be written as follows,

$X+{Y}^{2+}\rightarrow Y+{X}^{2+}$

${E}_{\mathrm{cell}}^{0}={E}_{\mathrm{cathode}}^{0}-{E}_{\mathrm{anode}}^{0}$ (Both are SRP values)

${E}_{\mathrm{Cell}}^{0}=0.36-(-2.36)=2.72V$

Now, the Nernst equation is,

${E}_{\mathrm{cell}}={E}_{\mathrm{cell}}^{0}-\frac{0.06}{n}\mathrm{log}\frac{[{X}^{2+}]}{[{Y}^{2+}]}$

$n=$ The number of electrons involved in the net reaction.

${E}_{\mathrm{Cell}}=2.72-\frac{0.06}{2}\mathrm{log}\frac{0.001}{0.01}$

$=2.72+0.03=2.75V$

$=275\times {10}^{-2}V$

Your note

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JEE Main 2023 — Chemistry Physical Chemistry

2023integermedium

The electrode potential of the following half cell at $298K$

$X|{X}^{2+}(0.001M)\|{Y}^{2+}(0.01M)|Y$ is _____ $\times {10}^{-2}V$ (Nearest integer)

Given : ${E}_{{X}^{2+}\mid X}^{0}=-2.36V$

${E}_{{Y}^{2+}Y}^{0}=+0.36V$

$\frac{2.303\mathrm{RT}}{F}=0.06V$

Official previous-year question

Held on 30 Jan 2023 · Verified 6 Jul 2026.

Did you get this right?

Solution

The net cell reaction can be written as follows,

$X+{Y}^{2+}\rightarrow Y+{X}^{2+}$

${E}_{\mathrm{cell}}^{0}={E}_{\mathrm{cathode}}^{0}-{E}_{\mathrm{anode}}^{0}$ (Both are SRP values)

${E}_{\mathrm{Cell}}^{0}=0.36-(-2.36)=2.72V$

Now, the Nernst equation is,

${E}_{\mathrm{cell}}={E}_{\mathrm{cell}}^{0}-\frac{0.06}{n}\mathrm{log}\frac{[{X}^{2+}]}{[{Y}^{2+}]}$

$n=$ The number of electrons involved in the net reaction.

${E}_{\mathrm{Cell}}=2.72-\frac{0.06}{2}\mathrm{log}\frac{0.001}{0.01}$

$=2.72+0.03=2.75V$

$=275\times {10}^{-2}V$

Your note

JEE Main Physical Chemistry in other years

Keep practicing Physical Chemistry

Work through every JEE Main Physical Chemistry PYQ, year by year.

Browse all Chemistry topics

JEE Main 2023 — Chemistry Physical Chemistry

Did you get this right?

Solution

Your note

JEE Main Physical Chemistry in other years

More JEE Main Physical Chemistry questions

Other Chemistry topics for JEE Main

Organic Chemistry

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JEE Main 2023 — Chemistry Physical Chemistry

Did you get this right?

Solution

Your note

JEE Main Physical Chemistry in other years

More JEE Main Physical Chemistry questions

Other Chemistry topics for JEE Main

Organic Chemistry

Inorganic Chemistry

Keep practicing Physical Chemistry