JEE Main 2023 — Chemistry Physical Chemistry

2023integereasy

For reaction: ${\mathrm{SO}}_{2}(g)+\frac{1}{2}{O}_{2}(g)\rightleftharpoons {\mathrm{SO}}_{3}(g)$ ${K}_{P}=2\times {10}^{12}$ at $27^{\circ}C$ and $1\mathrm{atm}$ pressure. The ${K}_{c}$ for the same reaction is $\times {10}^{13}.($ Nearest integer)

(Given $R=0.082L\mathrm{atm}{K}^{-1}{\mathrm{mol}}^{-1}$ )

Official previous-year question

Held on 31 Jan 2023 · Verified 6 Jul 2026.

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Solution

For reaction: ${\mathrm{SO}}_{2(g)}+\frac{1}{2}{O}_{2(g)}\rightleftharpoons {\mathrm{SO}}_{3(g)}$

${K}_{p}=2\times {10}^{12}$ at $300K$ and $1\mathrm{atm}$ pressure.

The relation between equilibrium constant in terms of pressures ${K}_{p}$ and equilibrium constant in terms of concentration ${K}_{c}$ is

${K}_{p}={K}_{c}\times (\mathrm{RT}{)}^{\Delta ng}$

$\Rightarrow 2\times {10}^{12}={K}_{c}\times (0.082\times 300{)}^{-\frac{1}{2}}$

$\Rightarrow {K}_{C}=9.92\times {10}^{12}$

$\Rightarrow {K}_{C}=0.992\times {10}^{13}$

So, answer is 1.

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JEE Main 2023 — Chemistry Physical Chemistry

2023integereasy

(Given $R=0.082L\mathrm{atm}{K}^{-1}{\mathrm{mol}}^{-1}$ )

Official previous-year question

Held on 31 Jan 2023 · Verified 6 Jul 2026.

Did you get this right?

Solution

For reaction: ${\mathrm{SO}}_{2(g)}+\frac{1}{2}{O}_{2(g)}\rightleftharpoons {\mathrm{SO}}_{3(g)}$

${K}_{p}=2\times {10}^{12}$ at $300K$ and $1\mathrm{atm}$ pressure.

The relation between equilibrium constant in terms of pressures ${K}_{p}$ and equilibrium constant in terms of concentration ${K}_{c}$ is

${K}_{p}={K}_{c}\times (\mathrm{RT}{)}^{\Delta ng}$

$\Rightarrow 2\times {10}^{12}={K}_{c}\times (0.082\times 300{)}^{-\frac{1}{2}}$

$\Rightarrow {K}_{C}=9.92\times {10}^{12}$

$\Rightarrow {K}_{C}=0.992\times {10}^{13}$

So, answer is 1.

Your note

JEE Main Physical Chemistry in other years

Keep practicing Physical Chemistry

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

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JEE Main 2023 — Chemistry Physical Chemistry

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Solution

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JEE Main Physical Chemistry in other years

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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