(2a) For an ideal binary vapor-liquid equilibrium (Raoult's Law yiP=xiPvapi ), derive an equation for y1 as a function of T and x1 but not of P,x2, or y2. Hint: Use x1+x2=1,y1+y2=>=1, and relative volatility. [Here you have two species 1 and 2 in a binary ideal gas mixture that is in equilibrium with a binary liquid ideal solution at a given temperature and pressure. Note that Pvap,i is a function only of T and the species i.] (2b) For an ideal binary vapor-liquid equilibrium, derive an equation for x1 as a function of T and y1 but not of P,x2, or y2