Two liquids X and Y form an ideal solution.
The mixture has a vapour pressure of 400mm at 300K, when mixed in the molar ratio of 1:1 and a vapour pressure of 350mm when mixed in the molar ratio of 1:2 at the same temperature. The vapour pressures of the two pure liquids X and Y respectively are?

250mm, 550mm

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350mm, 450mm

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350mm, 700mm

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550mm, 250mm

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Solution

The correct option is A 550mm, 250mm
Total pressure
$P = p A^{0} \frac{2}{A} + p B^{0} \frac{2}{B}$
for case (i)
$400 p = p A^{0} \frac{1}{2} + p B^{0} \frac{1}{2}$ ${m o l a r r a t i o θ = 1 : 1}$
$p A^{0} + p B^{0} = 800$
for case (ii)
$350 = p A^{0} \frac{1}{3} + p B^{0} \frac{2}{3}$ ${m o l a r r a t i o n θ = 1 : 2}$
$p A^{0} + 2 p B^{0} = 1050$ .....(2)
from (1) and (2)
$p A^{0} = 550 m m$ $p B^{0} = 250 m m$

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Two liquids X and Y form an ideal solution.The mixture has a vapour pressure of 400mm at 300K, when mixed in the molar ratio of 1:1 and a vapour pressure of 350mm when mixed in the molar ratio of 1:2 at the same temperature. The vapour pressures of the two pure liquids X and Y respectively are?

The correct option is A 550mm, 250mmTotal pressure P=pA02A+pB02Bfor case (i)400p=pA012+pB012 {molarratioθ=1:1}pA0+pB0=800for case (ii)350=pA013+pB023 {molarrationθ=1:2}pA0+2pB0=1050.....(2)from (1) and (2)pA0=550mm pB0=250 mm

Two liquids X and Y form an ideal solution.
The mixture has a vapour pressure of 400mm at 300K, when mixed in the molar ratio of 1:1 and a vapour pressure of 350mm when mixed in the molar ratio of 1:2 at the same temperature. The vapour pressures of the two pure liquids X and Y respectively are?