In this paper, the
modeling of holes in the critical surface and
miscibility windows, in the ternary carbon dioxide + 1-hexanol + n-pentadecane and carbon dioxide + 1-heptanol + n-pentadecane systems, was made. A software for phase equilibrium
(PHEQ) data management and applications was used for calculations
with the cubic general equation of state (GEOS), developed by the
author. The software PHEQ was extended for calculations of critical
lines (module GEOS CRITHK), using the Heidemann and Khalil method,
and liquid–liquid–vapor (llg) lines (module GEOS LLVE)
in binary and ternary mixtures. These modules were used for the calculation
of holes in critical surfaces, and of miscibility windows. Binary
and quasi-binary measured phase equilibrium data by Scheidgen [Ph.D.
Thesis, Ruhr-Universität Bochum, 1997] were necessary for understanding
and modeling of ternary systems, regarding holes in critical surface
and miscibility windows. For modeling, the equation of state Soave–Redlich–Kwong,
integrated in the cubic GEOS form, coupled with the two-parameters
conventional mixing rule was used. A simple semipredictive approach
was adopted for the estimation of the two binary interaction parameters
by a trial and error procedure for reproducing the temperature and
pressure values of the two experimental double critical end points
(DCEPs). A unique set of parameters obtained by this procedure was
used to predict the critical and three phases llg lines for all quasi-binary
systems at reduced mass fractions of n-pentadecane
in the range between the two experimental DCEPs. The calculated holes
in the critical surface and miscibility windows are in satisfactory
agreement with the available experimental data.