a. Show that the minimum amount of work, W_s^min , necessary to separate 1 mole of a binary mixture into its pure components at constant temperature and pressure is

b. Show that this expression reduces to 

for (i) an ideal liquid mixture and (ii) a gaseous mixture for which the Lewis-Randall rule is obeyed. 

c. Calculate the minimum amount of work needed to separate a 50/50 mixture of two isomers at 300 K and a pressure of 1 bar into its pure components at the same temperature and pressure. Explicitly state and justify all assumptions.

Transcribed Image Text:

W min = x₁ RT In X1 = fi (T, P) f1(T, P, x1) f2 (T, P) f2(T, P, x2) + x₂ RT In