The mole fraction of \( X \) in the vapours in equilibrium with homogeneous mixture of liquids \...

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The mole fraction of \( X \) in the vapours in equilibrium with homogeneous mixture of liquids \( X \) and \( Y \) is 0.42 . The vapour pressure of liquids \( X \) and \( Y \) at the same temperature are 406.5 and 140 torr respectively. Calculate the mole fraction of \( X \) in the solution.
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