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PA and PB are the vapour pressure of pu...

`P_A and P_B` are the vapour pressure of pure liquid components A and B respectively of an ideal binary solution. If `X_A` represent the mole fraction of component A, then 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

Hint: From definition of Raoult.s law
`P_("total") = X_A P_A + X_BP_B`
`= X_A P_A +(1-X_A) P_B`
`=X_AP_A +P_B-X_AP_B= X_A(P_A-P_B)`
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