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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ce219

At constant $T$ and $P$ , inert gas is added until the total gas volume doubles (before any shift takes place). For which equilibria is the value of $Q_{p} / K_{p}$ immediately afterwards correctly stated?

A $PCl X_{5} PCl X_{3} + Cl X_{2}$ : $Q_{p} / K_{p} = 0.5$
B $N X_{2} + 3 H X_{2} 2 NH X_{3}$ : $Q_{p} / K_{p} = 4$
C $H X_{2} + I X_{2} 2 HI$ : $Q_{p} / K_{p} = 1$
D $2 SO X_{2} + O X_{2} 2 SO X_{3}$ : $Q_{p} / K_{p} = 0.5$

Answer: A, B, C

Doubling the volume halves each partial pressure, so

Q_{p} / K_{p} = (1/2)^{Δ n_{g}}

.

PCl X_{5}

:

Δ n_{g} = + 1

gives 0.5.

N X_{2} + 3 H X_{2} 2 NH X_{3}

:

Δ n_{g} = - 2

gives

2^{2} = 4

.

H X_{2} + I X_{2} 2 HI

:

Δ n_{g} = 0

gives 1.

2 SO X_{2} + O X_{2} 2 SO X_{3}

:

Δ n_{g} = - 1

gives

2

, not 0.5.

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