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For an ideal binary liquid solution with...

For an ideal binary liquid solution with `p_(A)^(@) gt p_(B)^(@)` which of the following relations between `x_(A)` (mole fraction of A in liquid phase) and `y_(A)` (mole fraction of A in vapour phase) is correctly represented?

A

`x_(A) = y_(A)`

B

`x_(A) gt y_(A)`

C

`x_(A) lt y_(A)`

D

`x_(A)` and `y_(A)` cannot be correlated with each other

Text Solution

Verified by Experts

The correct Answer is:
C
`y_(A) = (p_(A))/(P_("Total")) = (x_(A)p_(A)^(@))/(P_("Total"))` or `(y_(A))/(x_(A)) = (p_(A)^(@))/(P_("Total"))`
As B is less volatile than `A, P_("Total") lt p_(A)^(@)`
`:. (y_(A))/(x_(A)) gt 1` or `y_(A) lt x_(A)`
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