The vapour pressures of two volatile liquids A and B at 25   ° C are 50 Torr and 100 Torr,…

The vapour pressures of two volatile liquids A and B at 25 °C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is x17. The value of x is

Solution

Since,

yA=p°A×xAp°A×xA+p°B×xB

and xA=0.3 and xB=0.7

yA=50×0.350×0.3+100×0.7

yA=1585.

YB1-yB=PB0PA0XB1-XB

⇒yB1-yB=100500.70.3=143

⇒yB=1417

Asked in: JEE Main 2022 (28 Jun Shift 1)

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