Two of the most significant contributions in the last two decades to s
eparation process are the numerical implementation of the tangent-plan
e criterion to check the stability of any given mixture and the use of
mass-transfer models to solve separation;process problems. This work
combines the use of the tangent-plane analysis with mass-transfer mode
ls to solve problems with multiple liquid phases. As in equilibrium-st
age problems, the tangent-plane analysis works effectively with nonequ
ilibrium-stage separation-process problems. An example is presented wh
ere the nonequilibrium model, when used in conjunction with the tangen
t-plane criterion, predicts the correct number of phases, while the eq
uilibrium model predicts the incorrect number of phases.