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If two substances A and B have $P_{A}^{o} : P_{B}^{o} = 1 : 2$ and also $X_{A} : X_{B}$ in solutions as 1 : 2, then mole fraction of A in vapours is

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0.25

0.52

0.2

0.33

answer is D.

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Detailed Solution

$Y_{A} = \frac{P_{A}}{P_{total}} = \frac{P_{A}^{0} X_{A}}{X_{A} {. P}_{A}^{0} + X B {. P}_{B}^{0}}$
$= \frac{1 × 1}{1 × 1 + 2 × 2} = \frac{1}{1 + 4} = \frac{1}{5} = 0.2$

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