A rectifying column containing the equivalent of three ideal plates is to be supplied continuously with a feed consisting of 0.4 mol % ammonia and 99.6 mol % water Before entering the column, the feed is converted wholly to saturated vapor, and it enters between the second and third plates from the top of the column. The vapors from the top plate are totally condensed but not cooled. Per mole of feed, 1.35 mol of condensate is returned to the top plate as reflux, and the remainder of the distillate is removed as overhead product. The liquid from the bottom plate overflows to a reboiler, which is heated by closed steam coils. The vapor generated in the reboiler enters the column below the bottom plate, and bottom product is continuously removed from the reboiler. The vaporization in the reboiler is 0.7 mol per mole of feed. Over the concentration range involved in this problem, the equilibrium relation is given by the equation y = 12.6x.

Calculate the mole fraction of ammonia in

(a) The bottom product from the reboiler,

(b) The overhead product,

(c) The liquid reflux leaving the feed plate.