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Q.

Two liquids X and Y form an ideal solution. The mixture has a vapour pressure of 400 mm at 300 K when mixed in the molar ratio of 1 : 1 and a vapour pressure of 350 mm 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

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a

250 mm, 550 mm

b

350 mm, 450 mm

c

350 mm, 700mm

d

550 mm, 250 mm

answer is D.

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Detailed Solution

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According to Raoult's law, $P_{x}^{o} X_{x} + P_{y}^{o} X_{y} = P_{total}$

$For molar ratio, 1 : 1 P_{x}^{o} (\frac{1}{2}) + P_{y}^{o} (\frac{1}{2}) = 400 P_{x}^{o} + P_{y}^{o} = 800 - - - (1) For molar ratio, 1 : 2, P_{x}^{o} (\frac{1}{3}) + P_{y}^{o} (\frac{2}{3}) = 350 P_{x}^{o} + 2 P_{y}^{o} = 1050 - - - (2) By solving (1) and (2), we get P_{x}^{o} = 550 mm and P_{y}^{o} = 250 mm$

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