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Question

The vapour pressure of two pure liquids A and B, that form an ideal solution are 100 and 900 torr respectively at temperature T. This liquid solution of A and B is composed of 1 mole of A and 1 mole of B. What will be the pressure, when 1 mole of mixture has been vapourized?

A
800torr
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B
500torr
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C
300torr
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D
None of these
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Solution

The correct option is B 500torr
Vapour pressure of pure A PA=100torr
Vapour presuure of pure B PB=900torr
nA=1mole
nB=1mole
xA=11+1=0.5

xB=11+1=0.5

P=PAxA+PBxB
=100×0.5+900×0.5=500torr

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