Two liquids X and Y form an ideal solution at 300 K , vapour pressure of the solution containing 1 mol of X…

Two liquids X and Y form an ideal solution at 300 K, vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550 mmHg. At the same temperature, if 1 mol of Y is further added to this solution, vapour pressure of the solution increases by 10 mmHg. Vapour pressure (in mmHg) of X and Y in their pure states will be, respectively–
  1. 300 and 400
  2. 400 and 600
  3. 500 and 600
  4. 200 and 300

Solution

According to Dalton’s law of partial pressure PT=PX0Xx+Py0Xy
14Px0+34Py0=5501
15Px0+45Py0=5602
On solving Px0=400Py0=600

Asked in: JEE-TOPICTESTS-CHEMISTRY

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