JEE Main 2024 — Chemistry Physical Chemistry

2024integermedium

The following concentrations were observed at $500K$ for the formation of ${\mathrm{NH}}_{3}$ from ${N}_{2}$ and ${H}_{2}$ . At equilibrium : $[{N}_{2}]=2\times {10}^{-2}M,[{H}_{2}]=3\times {10}^{-2}M$ and $[{\mathrm{NH}}_{3}]=1.5\times {10}^{-2}M$ . Equilibrium constant for the reaction is ______.

Official previous-year question

Held on 29 Jan 2024 · Verified 6 Jul 2026.

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Solution

The equilibrium constant of concentration (denoted by ${K}_{c}$ ) of a chemical reaction at equilibrium can be defined as the ratio of the concentration of products to the concentration of the reactants, each raised to their respective stoichiometric coefficients.

The equilibrium reaction is

${N}_{2(g)}+3{H}_{2(g)}\rightleftharpoons _{}^{}2{\mathrm{NH}}_{3(g)}$

${K}_{c}=\frac{{[{\mathrm{NH}}_{3}]}^{2}}{{[{H}_{2}]}^{3}[{N}_{2}]}$

$=\frac{{(\frac{3}{2}\times {10}^{-2})}^{2}}{{(3\times {10}^{-2})}^{3}\times 2\times {10}^{-2}}$

$=\frac{{3}^{2}\times {10}^{-4}}{{2}^{2}\times {3}^{3}\times {10}^{-6}\times 2\times {10}^{-2}}$

$=\frac{1}{4\times 2\times 3}\times {10}^{4}=\frac{10000}{24}=416.6\approx 417$

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JEE Main 2024 — Chemistry Physical Chemistry

2024integermedium

Official previous-year question

Held on 29 Jan 2024 · Verified 6 Jul 2026.

Did you get this right?

Solution

The equilibrium reaction is

${N}_{2(g)}+3{H}_{2(g)}\rightleftharpoons _{}^{}2{\mathrm{NH}}_{3(g)}$

${K}_{c}=\frac{{[{\mathrm{NH}}_{3}]}^{2}}{{[{H}_{2}]}^{3}[{N}_{2}]}$

$=\frac{{(\frac{3}{2}\times {10}^{-2})}^{2}}{{(3\times {10}^{-2})}^{3}\times 2\times {10}^{-2}}$

$=\frac{{3}^{2}\times {10}^{-4}}{{2}^{2}\times {3}^{3}\times {10}^{-6}\times 2\times {10}^{-2}}$

$=\frac{1}{4\times 2\times 3}\times {10}^{4}=\frac{10000}{24}=416.6\approx 417$

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 2024 — Chemistry Physical Chemistry

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Solution

Your note

JEE Main Physical Chemistry in other years

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Organic Chemistry

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JEE Main 2024 — 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