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Q.

Two liquids A and B are mixed to form a solution. The total pressure is expressed as $P_{total} = 400 + 250 X_{B}$ the vapour pressures of A and B respectively are

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a

400 mm, 650 mm

b

650 mm,400 mm

c

400 mm, 550 mm

d

500 mm, 750 mm

answer is C.

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Detailed Solution

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$P_{T} = P_{A}^{0} X_{A} + P_{B}^{0} X_{B} = P_{A}^{0} (1 - X_{B}) + P_{B}^{0} X_{B} = P_{A}^{0} - P_{A}^{0} X_{B} + P_{B}^{0} X_{B} = P_{A}^{0} + X_{B} [P_{B}^{0} - P_{A}^{0}] . . . (1) P_{T} = 400 + 250 X_{B} . . . . . (2) Comparing 1 and 2 : P_{A}^{0} = 400 mm, P_{B}^{0} = 650 mm$

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