Distillation Lines for a Mixture of Chloroform, Acetone, and Methanol at 1 atm

Consider a ternary mixture composed of chloroform, acetone, and methanol at 1 atm. This Demonstration plots the (blue) distillation line that corresponds to the composition profiles in a staged column at infinite reflux. You can drag the locator to change the position of this curve. This curve is found by solving the following equation:
where is the liquid mole fraction of component at stage and is the vapor mole fraction of component at stage .
The azeotropes (labeled in the figure by for from 1 to 4) and pure components appear as the fixed points of . It turns out that it is equivalent to finding the fixed points of equation (1) and the singular points of
,
which gives the residue curves or the composition profile in a packed column at infinite reflux.

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For more information, see
M. F. Doherty and M. F. Malone, Conceptual Design of Distillation Systems, New York: McGraw-Hill, 2001.
W. D. Seider, J. D. Seader, and D. R. Lewin, Product and Process Design Principles, New York: Wiley, 2004.
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