1.

Liquid A and B from ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions `x_(A)` and `x_(B)`, respectively, has vapour pressure of 22.5 Torr. The value of `X_(A)//x_(B)` in the new solution is _________ (Given that the vapour pressure of pure liquid A is 20 Torr at temperature T)

Answer» Correct Answer - A
`45=P_(A)^(@)xx(1)/(2)+P_(B)^(@)xx(1)/(2)`
`P_(A)^(@)+P_(B)^(@)=90` …..(1)
Given `P_(A)^(@)=200` torr
`P_(B)^(@)=70` torr
`rArr 22.5` torr `=20 x_(A)+70(1-x_(A))`
`=70-50x_(A)`
`x_(A)=((70-22.5)/(50))=0.95`
`x_(B)=0.05`
So `(x_(A))/(x_(B))=(0.95)/(0.05)=19` .


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