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Solutions

Question
CBSEENCH12010778

Two liquids X and Y form an ideal solution. At 300 K, the vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550mm Hg. At the same temperature, if 1 mol of Y is further added to this solution, the vapour pressure of the solution increases by 10 mm Hg. Vapour pressure (in mmHg) of X and Y in their pure states will be respectively

  • 200 and 300

  • 300 and 400

  • 400 and 600

  • 500 and 600

Solution

C.

400 and 600

0.25 space straight A subscript straight A superscript 0 space plus space 0.75 straight P subscript straight B superscript 0 space equals space 550 space mm
0.20 space straight P subscript straight A superscript 0 space plus space 0.80 space straight P subscript straight B superscript 0 space equals space 650 space mm
straight P subscript straight x superscript 0 space plus 3 straight P subscript straight y superscript 0 space equals space 2200
straight P subscript straight x superscript 0 space plus space 4 straight P subscript straight Y superscript 0 space equals space 2800
straight P subscript straight y superscript 0 space equals space 600 space mm
straight P subscript straight x superscript 0 space equals space 400 space mm