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

Two liquids X and Y from an ideal solution at`300K`, Vapour pressure of the Solution containing `1`mol of X and `3`mol of Y is `550`mmHg . At the same temperature, if `1` mol of Y is further added to this solution ,vapour pressur of the solutions increases by `100`mmHg 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
Initially `P_(M) = P_(X)^(@).X_(X)+P_(Y)^(@).X_(Y)`
`550 = P_(X)^(@).((1)/(1+3)) + P_(Y)^(@).((3)/(1+3))`
or `P_(X)^(@)+3P_(Y)^(@) = 2200` ...(i)
`P_(M)= P_(X)^(@).X_(X) + P_(Y)^(@).X_(Y)`
`560 = P_(X)^(@)((1)/(1+4))+P_(Y)^(@)((4)/(1+4))`
`:. P_(X)^(@)+4P_(Y)^(@) = 2800`...(ii)
By eq.(i) and (ii)
`P_(X)^(@) = 400 mm` and `P_(Y)^(@) = 600 mm`
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