Chemistry · Chemical Equilibrium

JEE Main 2026 — 6 April, Morning Shift — Question 51

One mole each of He and A(g)\mathrm{A}(\mathrm{g}) are taken in a 10 L closed flask and heated to 400 K to establish the following equilibrium. A(g)⇌B(g)\mathrm{A}(\mathrm{g}) \rightleftharpoons \mathrm{B}(\mathrm{g}) KC\mathrm{K}_{\mathrm{C}} for this reaction at 400 K is 4.0. The partial pressures (in atm ) of He and B(g)\mathrm{B}(\mathrm{g}) are respectively (at equilibrium). (Assume He,A(g)\mathrm{He}, \mathrm{A}(\mathrm{g}) and B(g)\mathrm{B}(\mathrm{g}) behave as ideal gases) (Given : R=0.082 L atm K−1 mol−1\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} )

  1. Option A:

    3.28,2.6243.28,2.624

    Correct
  2. Option B:

    2.624,3.282.624,3.28

  3. Option C:

    3.28,0.6563.28,0.656

  4. Option D:

    0.656,6.560.656,6.56

Answer: A

Step-by-step solution

A⇌ Bt=01 mol−teqm1−xx KC=x/101−x10=4x=0.8PHe=1×0.082×40010=3.28 atmPB=0.8×0.082×40010=2.624 atm\begin{aligned} & \mathrm{A} \rightleftharpoons \mathrm{~B} & \mathrm{t}=0 \quad 1 \mathrm{~mol}- & \mathrm{t}_{\mathrm{eq}^{\mathrm{m}}} \quad 1-\mathrm{x} \quad \mathrm{x} & \mathrm{~K}_{\mathrm{C}}=\frac{\mathrm{x} / 10}{\frac{1-\mathrm{x}}{10}}=4 & \mathrm{x}=0.8 & \mathrm{P}_{\mathrm{He}}=\frac{1 \times 0.082 \times 400}{10}=3.28 \mathrm{~atm} & \mathrm{P}_{\mathrm{B}}=\frac{0.8 \times 0.082 \times 400}{10}=2.624 \mathrm{~atm} \end{aligned}

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Chemistry
Chapter
Chemical Equilibrium
Topic
Analysis of Chemical Equilibrium, Equilibrium Constant and Reaction Quotient