If the total vapour pressure of the liquid mixture A and B is given by the equation : P=180 XA+90 then the ratio of the vapour pressure of the pure liquids A and B is given by:
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a
3 : 2
b
4 : 1
c
3 : 1
d
6 : 2
answer is C.
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Detailed Solution
As we know PT=PAoXA+PBoXB=PAoXA+PBo(1−XA)=(PAo−PBo)XA+PBo .....(1)But from question, PT=180 XA+90 .....(2)Equating equation (1) and (2) ∴ PAo−PBo=180PBo=90; PAo=180+90=270PAoPBo=27090=3:1