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Question
Liquids A and B form an ideal solution. A certain solution of A and B contains 25 mole percent of A, whereas the vapours in the equilibrium with the solution at 298 K contains 50 mole percent of A. The ratio of vapour pressures of pure A to that of pure B at 298 K, is
Options
A.1: 1
B.3: 1
C.1: 3
D.2: 1
Solution
$\frac{Y_{A}}{Y_{B}} = \frac{X_{A}}{X_{B}}.\frac{P_{A}^{o}}{P_{B}^{o}} \Rightarrow \frac{0.5}{0.5} = \frac{0.25}{0.75} \times \frac{P_{A}^{o}}{P_{B}^{o}} \Rightarrow \frac{P_{A}^{o}}{P_{B}^{o}} = \frac{3}{1}$
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