At 300 K two liquids A and B form an ideal solution in all proportions. Let Yi be the mole fraction of component i (i=A,B) in the vapor in equiLiBrium with a solution in which the mole fraction of component i is Xi. At constant temperature, the composition of the vapor (i.e. Ya and therefore Yb) will vary as a function of the composition of the liquid (i.e. Xa and Xb). Find the mole fraction of A in the vapor such that the difference Ya-Xa is maximized for a solution of A and B at 300 K. When this happens, the composition of the vapor differs the most from the composition of the solution. At 300 K the vapor pressures of pure A and pure B are 756.8 Torrs and 372.7 Torr respectively. Report your result as 1000 x Ya. For example, if your result is Ya=0.3462 you will report 346.2 as the answer to the problem. Hint:Derive an expression for Ya as a function of Xa. Use that expression to derive an expression of Ya-Xa and determine when this expression becomes a maximum as a function of Xa.