Distillation Theory and its Application to Optimal Design of Separation Units

For mixture acetone(1)-benzene(2)-chloroform(3)-toluene(4) of composition (0,2; 0,4; 0,1; 0,3), calculate the mode of minimum reflux for the split 1,3 : 2,4 and find location of trajectories of the sections in the concentration simplex.
Determine other possible sharp splits for this mixtures, calculate the minimum reflux mode for each.
Do the same as in Exercise 1 for mixture pentane(1)-hexane(2)-heptane(3)-octane(4) of composition (0,35; 0,25; 0,15; 0,25) at split 1,2 : 3,4.
Do the same for the latter mixture at split 1,2 : 2,3,4 and at x D 2 = 0,15.
Do the same for this mixture for the split 1,2,3 : 3,4 at equal and optimal distribution of component 3 among the products.
Do the same for this mixture for the splits 1 : 2,3,4 and 1,2,3 : 4.