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At 27^(@)C.the vapour pressure of an ide...

At `27^(@)C`.the vapour pressure of an ideal solution containing 1 mole of `A` and 1 mole and `B` is `500 mm` of `Hg`. At the same temperature, if `2` mol of `B` is added to this solution the vapour pressure of solution increases by `50 mm` of `Hg`. The vapour pressure of `A` and `B` in their pure states is respectively.

A

`600 mm`,`400 mm`

B

`400 mm`,`600 mm`

C

`300 mm`,`700 mm`

D

`200 mm`,`800 mm`

Text Solution

Verified by Experts

The correct Answer is:
B
`P_("total")=P_(A)^(@)chi_(A) + P_(B)^(@)chi_(A)`
`rArr 500 = P_(A)^(@) xx 1/2 + P_(B)^(@) xx 1/2 rArr P_(A)^(@) + P_(B)^(@)=1000` …..(i)
`500 = P_(A)^(@) xx 3/4 + P_(B)^(@) xx 3/4 rArr P_(A)^(@) + 3P_(B)^(@)=2200 …..(ii)`
Solving Egs. (i) and (ii), we get
`rArr P_(A)^(@)=400 mm Hg` and ` P_(B)^(@)=600 mm Hg`
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