Two liquids \( X \) and \( Y \) form an ideal solution. At \( 300 \mathrm{~K} \), vapour pressur...

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Two liquids \( X \) and \( Y \) form an ideal solution. At \( 300 \mathrm{~K} \), vapour pressure of the solution containing 1 mole of \( X \) and 3 mole of \( Y \) is \( 550 \mathrm{~mm} \mathrm{Hg} \). At the same temperature, if 1 mole of \( Y \) is further added to this solution, vapour pressure of solution increases by \( 10 \mathrm{~mm} \mathrm{Hg} \). What would be vapour pressure (in \( \mathrm{mm} \mathrm{Hg} \) ) of \( X \) and \( Y \) in their pure states?
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