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Two liquid A and B form an ideal solutio...

Two liquid A and B form an ideal solution. The solution has a vapour pressure of 700 torr at `90^(@)"C"`. It is distilled till `2//(3^("rd"))` of the solution is collected condensate. The composition of the condensate is `"X'"_("A")=0.75` and that of the residue is `"X'"_("A")=0.3.`If the vapour pressure of the residue at `90^(@)"C"` is 600 torr, Which of the following option is correct.

A

The composition of the original liquid was `"X"_("A")=0.6.`

B

The composition of the original liquid was `"X"_("A")=0.4`

C

`"P"_("A")^(0)=2500/3"torr"`

D

The composition of the original liquid was `"X"_("B")=0.4`

Text Solution

Verified by Experts

The correct Answer is:
A,C,D
`"X"_("A")"P"_("A")^(@)+"X"_("B")"P"_("B")^(@)=700....."(i)"`
`"X"_("A")"P"_("A")^(@)+"X"_("B")"P"_("B")^(@)=0.30"P"_("A")^(@)+0.70"P"_("B")^(@)=600`
if mole of A & B initially are x&y then
`"x"=0.75xx2/3("x+y")+0.3xx1/3("x+y")`
& `"x"_("A")=("X")/("x+y") " or" " x"_("B")="y"/("x+y")`
Solving gives
`"x"_("A")=0.6" P"_("A")^(@)=2500/3"torr"`
`"x"_("B")=0.6" P"_("B")^(@)=500"torr"`
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