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Two miscible liquids A and B having vapo...

Two miscible liquids `A` and `B` having vapour pressure in pure state `P_(A)^(@)` and `P_(B)^(@)` are mixed in mole fraction `chi_(A)` and `chi_(B)` to get a mixtue having total vapour vapour pressure of mixture `P_(M)`. Which of the following relations are correct?

A

`X_ = (P_(M)-P_(B)^(@))/(P_(A)^(@)-P_(B)^(@))`

B

`(X_(A)(l))/(X'_(A)(v)) = (P_(M))/(P_(A)^(@))`

C

`(X_(A)(l))/(X'_(A)(v)) = (P_(M))/(P_(B)^(@))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
`P_(M) = P_(A)^(@).X_(A)+P_(B)^(@).X_(B)`
`= P_(A)^(@).X_(A)+P_(B)^(@)(1-X_(A))`
Also `P' = P_(M).X_(A)(v) = P_(A)^(@).X_(A)(l)`
`:. X_(A) = (P_(M)-P_(B)^(@))/(P_(A)^(@)-P_(B)^(@))`
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