105 100 95 T(°c) 90 85 80 75 70 65 60 1.2 0 1 0.8 -0.6 0.4 44 23 0.2 T-XY 0.1 0.2 20 0.3 04 0.5 0.6 0.7 0.8 09 XY 01 0 0.1 equilibrium diagram. 22 0.2 0 0.3 04 ཁ 0.5 0.6 0.7 0.8 0.9 1 *

It is desired to separate a mixture of methanol and water in a flash vessel at 1 atm pressure. The equilibrium data are shown in the L-V diagram below. Using this data, answer each of the following questions.

a) The feed has 40 mol% methanol, and V/F = 30%. What are the molar fractions of the vapor and liquid, and the respective flow rates? Assume a feed of 250 kmol/h.

b) If the feed is 35 mol% methanol and it is desired to obtain a liquid product with 15 mol% methanol, what V/F ratio should be used? For a feed of 2000 lbmol/h, find the flow rates and compositions of the products.

c) The tank is operated to obtain a liquid product with 47 mol% methanol. L = 1,800 kmol/h and V/F = 0.2. What are the composition and flow rate of the feed?

d) If z = 0.4 and T = 77°C, find V/F, xA, and yA.

e) If F = 50 mol/h, z = 0.8, and yA = 0.892, find V, L, and xA.