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Question

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

A
200 and 300
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B
300 and 400
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C
400 and 600
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D
500 and 600
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Solution

The correct option is B 400 and 600
Ptotal=PoAXA+PoAXB

550=PoA+×14+PoB×34

PoA+3PoB=2200 ...(i)

When 1mol of y is further added to the solution
560=PoA×15+PoB×45

PoA+4PoB=2800 ...(ii)

On subtraction, (ii) - (i)

PoB=28002200=600

On putting the value of PoB in Eq. (i)

PoA+3×600=2200

PoA=22001800=400

Hence, the correct option is C.

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