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Q. A gaseous mixture of two substances $A$ and $B$, under a total pressure of $0.8 \,atm$ is in equilibrium with an ideal liquid solution. The mole fraction of substance $A$ is $0.5$ in the vapour phase and $0.2$ in the liquid phase. The vapour pressure of pure liquid $A$ is ___atm. (Nearest integer)

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Solution:

$ Y _{ A }=0.5 \Rightarrow Y_B=0.5$
$P _{ A }= P _{ B }=0.4 \,atm $
$ P _{ A }= P _{ A }^0 X _{ A } $
$ P _{ A }^0=2$