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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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