Liquids \( P \) and \( Q \) form an ideal solution. The vapour pressures of pure liquids \( \mat...

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Liquids \( P \) and \( Q \) form an ideal solution. The vapour pressures of pure liquids \( \mathrm{P} \) and \( \mathrm{Q} \) at \( 80^{\circ} \mathrm{C} \) are \( 300 \mathrm{~mm} \) and \( 100 \mathrm{~mm} \) of \( \mathrm{Hg} \), respectively. Suppose that the vapour above a solution composed of \( 1.0 \) mole of \( \mathrm{P} \) and \( 1.0 \) mole of \( \mathrm{Q} \) at \( 80^{\circ} \mathrm{C} \) is collected and condensed. This condensate is then heated to \( 80^{\circ} \mathrm{C} \) and vapour is again condensed to form a liquid \( \mathrm{R} \). What is the mole fraction of \( \mathrm{P} \) in \( \mathrm{R} \) ?
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