1. Tardigrade
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  3. Chemistry
  4. The vapour pressures of two volatile liquids A and B at 25° C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is (x/17). The value of x is

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Q. The vapour pressures of two volatile liquids $A$ and $B$ at $25^{\circ} C$ are $50$ Torr and $100$ Torr, respectively. If the liquid mixture contains $0.3$ mole fraction of $A$, then the mole fraction of liquid B in the vapour phase is $\frac{x}{17}$. The value of $x$ is _____

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Solution:

$\frac{ y _{ B }}{1- y _{ B }}=\frac{ P _{ B }^{ o }}{ P _{ A }^{\circ}}\left[\frac{ X _{ B }}{1- X _{ B }}\right]$
$\Rightarrow \frac{ y _{ B }}{1- y _{ B }}=\frac{100}{50}\left[\frac{0.7}{0.3}\right]=\frac{14}{3}$
$\Rightarrow y _{ B }=\frac{14}{17}$