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Question

Mole fraction of the component A in vapour phase is x1 and the mole fraction of component A in liquid mixture is x2. The total vapour pressure of liquid mixture is.
Here,
pA= vapour pressure of pure A
pB= vapour pressure of pure B

A
pA×x2x1
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B
pA×x1x2
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C
pB×x1x2
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D
pB×x2x1
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Solution

The correct option is A pA×x2x1
By Raoult's law,
pA=pA×x2
where,
pAVapour pressure of 'A'

From Dalton's law,
pA=PT×x1
where,
PTTotal pressure of the liquid mixture
Thus,
pA=x2×pA=x1×PT

x1=x2×pAPT

PT=x2×pAx1
Hence, option A is correct.

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