Isovolatility Lines and Equilibrium Vectors

Consider a ternary mixture of chloroform, acetone, and methanol (components 1, 2 and 3, respectively) at atm. Vapor-liquid equilibrium data for this non-ideal mixture are computed using the modified Raoult's law and the Wilson model. This mixture has three binary azeotropes (represented by , , and ) and a ternary azeotrope labeled . The Demonstration plots the isovolatility lines (i.e., the locus of the mixtures for which the relative volatility of components and , , is equal to 1), shown in blue, for the three possible binary combinations. The ternary azeotrope appears naturally as the intersection of these three lines (as seen in the last snapshot, all relative volatilities are equal to 1 at this point). Each line ends at the corresponding binary azeotrope. Equilibrium vectors (or tie lines) are shown with red arrows. It is clear that as one approaches an azeotrope, the size of the arrow becomes small because an azeotrope satisfies = where is the liquid mole fraction and is the vapor mole fraction of a component of this ternary mixture. All lines generated by the equilibrium vectors intersect at one of the vertices (i.e., they will meet at vertex for binary with and ). Finally, the Demonstration shows the values of the relative volatilities for all possible binary mixtures at any location on the ternary diagram.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+