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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

According to Raoult's Law,
`P=P_(A)x_(A)+P_(B)x_(B)`
For binary solutions
`x_(A)+x_(B)=1,x_(B)=1-x_(A)`
` P=P_(A)x_(A)+P_(B)(1-x_(A))`
`P=P_(B)+x_(A)(P_(A)-P_(B))`
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