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JEE Main levelSingle correct optionDifficulty 2 of 3so030

An ideal liquid mixture of A ( $p^{0} = 300 torr$ ) and B ( $p^{0} = 100 torr$ ) is in equilibrium with a vapour that contains equal numbers of moles of A and B. The mole fraction of A in the liquid is

A0.25
B0.50
C0.33
D0.75

Answer: A

Equal moles in vapour means

p_{A} = p_{B}

:

300 x_{A} = 100 (1 - x_{A})

, giving

x_{A} = 100/400 = 0.25

. The liquid is richer in the less volatile component B.

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