# Computation of Tie Lines for Ternary Mixtures

Computation of Tie Lines for Ternary Mixtures

Consider a ternary mixture of hexane, heptane, and methanol. A temperature of 32.85 °C is assumed. This liquid-liquid equilibrium diagram is classified as type II. The Demonstration computes the tie line originating from a user-specified position on the extract curve (i.e., known values of for are assumed). In effect, one has to find the steady-state solution of the following system of ODEs:

x

i,1

i=1,2,3

d

x

i,2

dt

γ

i,1

x

i,1-

γ

i,2

x

i,2

i=1,2,3

x

i,j

i

j

γ

i,j

i

j