13.2.1 McCabe-Thiele Method for Dilute Systems

The McCabe-Thiele analysis for dilute immiscible extraction is very similar to the analysis for dilute absorption and stripping discussed in Chapter 12. It was first developed by Evans (1934) and is reviewed by Robbins (1997). In order to use a McCabe-Thiele type of analysis we must be able to plot a single equilibrium curve, have the energy balances automatically satisfied, and have one operating line for each section.

For equilibrium conditions, the Gibbs phase rule is: F = C − P + 2. There are three components (solute, solvent, and diluent) and two phases. Thus, there are three degrees of freedom. In order to plot equilibrium data as a single curve, we must reduce this to one degree of freedom. ...

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