MCQMediumJEE 2026Equilibrium Basics

JEE Chemistry 2026 Question with Solution

Consider the following gaseous equilibrium in a closed container of volume VV at temperature TT:

P2(g)+Q2(g)2PQ(g)P_2(\text{g}) + Q_2(\text{g}) \rightleftharpoons 2PQ(\text{g})

Initially, 22 moles each of P2(g)P_2(\text{g}), Q2(g)Q_2(\text{g}) and PQ(g)PQ(\text{g}) are present at equilibrium. One mole each of P2P_2 and Q2Q_2 are added. The number of moles of P2P_2, Q2Q_2 and PQPQ at the new equilibrium respectively are

  • A

    1.211.21, 2.242.24, 1.561.56

  • B

    2.672.67, 2.672.67, 2.672.67

  • C

    1.661.66, 1.661.66, 1.661.66

  • D

    2.562.56, 1.621.62, 2.242.24

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: The equilibrium is P2(g)+Q2(g)2PQ(g)P_2(\text{g}) + Q_2(\text{g}) \rightleftharpoons 2PQ(\text{g}). Initially, 22 moles each of P2P_2, Q2Q_2 and PQPQ are at equilibrium. Then 11 mole each of P2P_2 and Q2Q_2 is added.

Find: The new equilibrium moles of P2P_2, Q2Q_2 and PQPQ and the correct option.

Step 1: Writing equilibrium constant expression.

K=(PQ)2P2Q2K = \frac{(PQ)^2}{P_2 Q_2}

Step 2: Initial equilibrium condition. Since moles of all species are equal, the solution gives

K=1K = 1

Step 3: After addition of reactants. New moles become P2=3P_2 = 3, Q2=3Q_2 = 3, PQ=2PQ = 2. Let xx moles react forward.

So at the new equilibrium,

P2=3x,Q2=3x,PQ=2+2xP_2 = 3 - x, \quad Q_2 = 3 - x, \quad PQ = 2 + 2x

Step 4: Solving using K=1K = 1.

(2+2x)2(3x)(3x)=1x=23\frac{(2+2x)^2}{(3-x)(3-x)} = 1 \Rightarrow x = \frac{2}{3}

Step 5: Final moles.

P2=Q2=PQ=2.67P_2 = Q_2 = PQ = 2.67

Therefore, the new equilibrium moles are 2.67,2.67,2.672.67, 2.67, 2.67 and the correct option is B.

Common mistakes

  • Assuming that adding equal moles of P2P_2 and Q2Q_2 keeps the system at equilibrium is incorrect because the reaction quotient changes immediately after addition. Recalculate the equilibrium composition using the equilibrium constant.

  • Using PQ=2+xPQ = 2 + x instead of PQ=2+2xPQ = 2 + 2x is wrong because the stoichiometric coefficient of PQPQ is 22. Always apply stoichiometric coefficients correctly in the change row.

  • Writing the equilibrium constant as K=PQP2Q2K = \frac{PQ}{P_2Q_2} is incorrect because the exponent of each species must match its stoichiometric coefficient. Use K=(PQ)2P2Q2K = \frac{(PQ)^2}{P_2Q_2} instead.

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