Equations constituting the nonequilibrium rate-based separation process pro
blem involving binary and ternary mixtures were analyzed. Multiplicity occu
rring in the nonequilibrium stage resulted front multiplicity faking place
in the equilibrium calculations at the interface. This is achieved by demon
strating a one-to-one correspondence between the bulk and interface composi
tions in a nonequilibrium stage. The analysis of the film model for the mas
s-transfer problem where the fluxes are obtained using the Maxwell-Stefan e
quations showed solution uniqueness for this equation sec. It also showed t
hat the imposition of the mass-transfer equations does nothing to cause add
itional multiplicities.