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Two liquids X and Y form an ideal soluti...

Two liquids X and Y form an ideal solution. At 300K, vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550 mm Hg. At the same temperature, if 1 mol of Y is further added to this solution, vapour pressure of the solution increases by 10 mm Hg. Vapour pressure (in mmHg) of X and Y in their pure states will be, respectively

A

200 and 300

B

300 and 400

C

400 and 600

D

500 and 600

Text Solution

Verified by Experts

The correct Answer is:
C
`p_(A)^(o)X_(A)+p_(B)^(o)X_(B)=P_("total")`
`=p_(A)^(o)xx(1)/(4)+p_(B)^(o)xx(3)/(4)=550`
`=p_(A)^(o)+3p_(B)^(o)=550xx4....(i)`
Similarly
`=p_(A)^(o)xx(1)/(5)+p_(B)^(o)xx(4)/(5)=560`
`p_(A)^(o)+4p_(B)^(o)=560xx5....(ii)`
Eq. (ii) - Eq. (i)
`p_(B)^(o)=560xx5-550xx4=600`
So, `p_(A)^(o)=400`
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