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Q.

X and Y are two volatile liquids. X and Y are mixed in the mole ratio 1 : 3 to form an ideal solution of a total vapour pressure of 550 mm when one mole of B is added to this mixture the total vapour pressure increased by 10 mm. The vapour pressures of pure liquids A and B respectively is

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a

600, 400

b

400, 600

c

420, 640

d

640, 420

answer is C.

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Detailed Solution

$\frac{n_{A}}{n_{B}} = \frac{1}{3}$

$P_{A}^{0} X_{A} + P_{B}^{0} X_{B} = P_{S}$

$x \times \frac{1}{4} + y \times \frac{3}{4} = 550 \Rightarrow x + 3 y = 2200$

$x \times \frac{1}{5} + y \times \frac{4}{5} = 560 \Rightarrow x + 4 y = 2800$

x = 400, y = 600

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X and Y are two volatile liquids. X and Y are mixed in the mole ratio 1 : 3 to form an ideal solution of a total vapour pressure of 550 mm when one mole of B is added to this mixture the total vapour pressure increased by 10 mm. The vapour pressures of pure liquids A and B respectively is