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  4. If two substances A and B have PAo:PBo=1:2 and have mole fraction in solution 1: 2 then mole fraction of A in vapours:

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Q. If two substances A and B have $ P_{A}^{o}:P_{B}^{o}=1:2 $ and have mole fraction in solution 1 : 2 then mole fraction of A in vapours:

MGIMS WardhaMGIMS Wardha 2006

Solution:

In an ideal solution of components 'A' and 'B' Mole fraction of component 'A9 in the vapour $ Phase=\frac{Partial\text{ }pressure\text{ }of\text{ }A}{Total\text{ }vapour\text{ }pressure} $ $ =\frac{{{P}_{A}}}{{{P}_{A}}+{{P}_{B}}} $ $ =\frac{P_{A}^{o}.x_{A}^{o}}{P_{A}^{o}.{{x}_{A}}+P_{B}^{o}.{{x}_{B}}} $ $ =\frac{1\times 1}{1\times 1+2\times 2} $ $ =\frac{1}{1+4}=\frac{1}{5}=0.2 $