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Question

At 800C, the vapour pressure of pure liquid A is 250mm of Hg and that of pure liquid B is 1000 mm of Hg. If a solution of A and B boils at 800C and 1 atm pressure, the amount of A in the mixture is :(1atm=760mmHg)

A
50 mole percent
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B
52 mole percent
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C
32 mole percent
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D
48 mole percent
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Solution

The correct option is B 32 mole percent
1 atm = 760 mm Hg = PT
PT=P0AXA×P0BXB
760=250XA+1000(1XA)
240=750XA
XA=0.32
Hence mole % of A = 32%

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