An ideal solution of two pure liquids A and B are having the vapour pressure of 100 and 400 torr repsectively at the temperature T. The liquid solution of A and B is made up of 1 mole of each A and B. Then, find the pressure when 1 mole of mixture has been vapourized.

Options

A. 500 torr
B. 600 torr
C. 700 torr
D. 200 torr

Answer

D

Explanation

`(P^(@)BX_(A))/(P_(T))=(1-X_(A))` ForB
`(P_(A)^(@)(1-X_(A)))/(P_(T))=X_(A)` For A
`{:(A=X_(A)),(B=1-X_(A)):}}` Vap phase
`{:(A=1-X_(A)),(B=X_(A)):}}` Liq. Phase
`(P_(B)^(@))/(P_(T))=(1-X_(A))/(X_(A))`
`(P_(A)^(@))/(P_(T))=(X_(A))/(1-X_(A))`
`sqrt(P_(A)^(@)P_(B)^(@))=P_(T)=sqrt(100xx400)=200`