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If the vapour pressure of pure A and pur...

If the vapour pressure of pure A and pure B at 298 K are 60 and 15 torr respectively, what would be the mole fraction of A in vapour phase (at this temperature) in a solution that contains 20 mole per cent of A in the (A + B) binary mixture in liquid phase ?

A

0.2

B

0.3

C

0.5

D

0.7

Text Solution

Verified by Experts

`x_(A)=20/100=0/2, :. X_(B)=0.8`
`p=p_(A)+p_(B)=p_(A)^(@)x_(A)+p_(B)^(@)x_(B)=60xx0.2+15xx0.2=12+12=24`
Mole fraction of A in the vapour phase, i.e. `y_(A)` may be calculated as:
`p_(A)=y_(A)xxpimplies12=y_(A)xx24impliesy_(A)=12/24=0.5`
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