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Question

Compounds A and B having molar mass 100 g mol−1& 70 g mol−1 respectively form an ideal solution at 373 K.
At 373 K, the vapour pressures of the two liquids are 90 kPa and 45 kPa respectively.
What will be the vapour pressure of a mixture of 25 g of A and 35 g of B at 373 K?

A
135 kPa
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B
67.5 kPa
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C
60 kPa
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D
33 kPa
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Solution

The correct option is C 60 kPa
nA=WAMA=25100=0.25 mol;nB=3570=0.5 molMole fraction of A =No. of moles of ATotal no. of moles of A and BxA=0.250.25+0.5=13xB=113=23

By Raoult's law,
P=pAxA+pBxBP=90×13+45×23P=30+30=60 kPa

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