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

Two liquids X and Y form an ideal solution. At 300 K, vapour pressure

1.	Two liquids X and Y form an ideal solution. At 300 K, vapour pressure of the solution containing 1 molof X and 3 mol of Y is 550 mm Hg. At the same temperature if 1 mol of Y is further added to this solution, vapour pressure of the solution increases by 10 mm Hg. Vapour pressure (in mm Hg) of X and Y in their pure states will be respectively
Answer» 200 and 300 300 and 400 400 and 600 500 and 600 Solution :`x_(A)=(1)/(4)=0.25,x_(y)=0.75` `P_("total")=x_(X)xxp_(X)^(@)+x_(Y)xxp_(Y)^(@)` i.e., `550=0.25p_(X)^(@)+0.75p_(Y)^(@)` `"or"2200=p_(X)^(@)+3p_(Y)^(@)"...(i)"` After adding 1 mol of Y, `x_(X)=(1)/(5)=0.20, x_(Y)=0.80` `THEREFORE""560=0.20p_(X)^(@)+0.80p_(Y)^(@)` `"or"2800 = p_(X)^(@)+4p_(Y)^(@)"...(ii)"` Solving the two EQUATIONS, we get `p_(Y)^(@)=600mm, p_(X)^(@)=400mm`