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P(A)and P(B) are the vapour pressure of ...

`P_(A)and P_(B)` are the vapour pressure of pure liquid components ,Aand B respectively of an ideal binary solution,If `x_(A)` represents the mole fraction of component A, the total pressure of the solution will be

A

`P_(A)+X_(A)(P_(B)-P_(A))`

B

`P_(A)+X_(A)(P_(A)-P_(B))`

C

`P_(B)+X_(A)(P_(B)-P_(A))`

D

`P_(B)+X_(A)(P_(A)-P_(B))`

Text Solution

Verified by Experts

The correct Answer is:
D
`P=P_(A)X_(A)+P_(B)X_(B)`
`=P_(A)X_(A)+P_(B)(1-X_(A))`
`rArr P_(A)X_(A)_P_(B)-P_(B)X_(A) rArr P_(B)+X_(A)(P_(A)-P_(B))`
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