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JEE Advanced levelSingle correct optionDifficulty 3 of 3ce211

One mole of $N X_{2} O X_{4}$ is 20\% dissociated in the equilibrium $N X_{2} O X_{4} (g) 2 NO X_{2} (g)$ . Without changing temperature or total pressure, $2.0$ mol of argon is quickly added so that the gas volume expands before any shift occurs. The ratio $Q_{p} / K_{p}$ immediately after the addition is

A $0.600$
B $2.667$
C $0.375$
D $1.000$

Answer: C

Each partial pressure scales by the factor

N_{o l d} / N_{n e w} = 1.2/3.2 = 0.375

. With

Δ n_{g} = + 1

,

Q_{p} = K_{p} \times 0.375

, so

Q_{p} / K_{p} = 0.375 < 1

and the system shifts forward.

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