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Question

Two liquids X and Y forms an ideal solution at 300 K, vapour pressure of the solution containing 1 mole of X and 3 moles of Y is 550 mm Hg. At the same temperature, 1 mole of Y is further added to this solution 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 C 400 and 600
550=(14)(P0x)+(34)(P0y)2200=Px+3Py......(A)560=(15)(Px)+(45)(Py)2800=Px+4Py........(B)
On solving A and B, we get,
Px=400andPy=600

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