The vapour pressures of two volatile liquids A and B at 25^oC 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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answer is 14.

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Detailed Solution

$\begin{array}{l} \frac{y_{B}}{1 - y_{B}} = \frac{P_{B}^{o}}{P_{A}^{o}} [\frac{X_{B}}{1 - X_{B}}] \\ \Rightarrow \frac{y_{B}}{1 - y_{B}} = \frac{100}{50} [\frac{0.7}{0.3}] = \frac{14}{3} \\ \Rightarrow y_{B} = \frac{14}{17} \end{array}$

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