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The composition of a Vapour over a binar...

The composition of a Vapour over a binary ideal solution is determined by the compostion of the liquid . If `X_(A) and Y_(A)` are the mole fractions of A in the liquid and Vapour respectively, find the value of `X_(A)` for which `Y_(A)-X_(A)` has maximum . What is the value of the pressure at this composition in terms of `P_(A)^(0) and P_(B)^(0)`

A

`X_(A)=(P-P_(B)^(0))/(P_(A)^(0)-P_(B)^(0)),P=sqrt(P_(A)^(0)-P_(B)^(0))`

B

`(sqrt(P_(A)^(0)P_(B)^(0)-P_(B)^(0)))/(P_(A)^(0)-P_(B)^(0)),P=sqrt(P_(A)^(0).P_(B)^(0))`

C

`X_(A)=(1)/((P_(A)^(0)-P_(B)^(0)))-(1)/([(P_(A)^(0))/(P_(B)^(0))-])'P=sqrt(P_(A)^(0).P_(B)^(0))`

D

`X_(A)=(P_(a)^(0))/(P_(A)^(0)+P_(B)^(0)),P=P_(A)^(0)X_(A)+P_(B)^(0)X_(B)`

Text Solution

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The correct Answer is:
A
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