DISQUAC Predictions on Thermodynamic Properties of Ternary
and Higher Multicomponent Mixtures. 3. Results for H
E
of Ternary
Mixtures Containing One Alcohol, One Polar Compound, and One
Hydrocarbon or Two Alcohols and One Hydrocarbon or a Polar
Compound, or Three Alkanols
Juan Antonio Gonza ´ lez,* Ismael Mozo, Isaı ´as Garcı ´a de la Fuente, and
Jose ´ Carlos Cobos
GETEF, Departamento Termodina ´ mica y Fı ´sica Aplicada, Facultad de Ciencias, Universidad de Valladolid,
Valladolid, 47071 Spain
DISQUAC predictions on molar excess enthalpies, H
E
, are shown for a set of 67 ternary mixtures
formed by one alcohol, one active compound (not self-associated), and one hydrocarbon; two
alkanols and one hydrocarbon; two alkanols and one polar compound; or three alkanols.
DISQUAC provides reliable predictions on H
E
(≈8%) for the ternary mixtures considered using
binary interaction parameters only, i.e., neglecting ternary interactions. Differences between
experimental results and theoretical calculations are of the same order for the ternary mixtures
and for the constituent binaries. On the other hand, predictions are practically independent of
the mixture compounds or of the number of contacts present in the solution. The poorer results
are obtained for systems with a binary that shows strongly negative deviations from Raoult’s
law. A systematic comparison between DISQUAC results and those from the Dortmund UNIFAC
model is presented. DISQUAC improves UNIFAC predictions, as well as those from ERAS for
1-alkanol + oxaalkane + alkane mixtures. More complex association models yield results that
are similar to those from DISQUAC. Therefore, DISQUAC should be applied when the interaction
parameters used are available. The interaction parameters used are valid for the description of
the thermodynamic properties of binary mixtures (vapor-liquid, solid-liquid, and liquid-liquid
equilibria, H
E
, and the molar excess heat capacity at constant pressure, C
p
E
) as well as for
predictions on vapor-liquid equilibria, H
E
, and C
p
E
for ternary mixtures.
1. Introduction
Although large amounts of data have been reported
in the literature for binary mixtures, data for ternary
systems and higher multicomponent solutions are scarce.
This is due to the time and effort required to obtain a
meaningful set of multicomponent data. For this reason,
one of the most important tasks of the thermodynamics
is to provide predictions on the thermodynamic proper-
ties of multicomponent mixtures using data obtained
from more simple systems and, in the case of vapor-
liquid equilibrium (VLE), for pure substances.
Of course, the most essential step is to pass from
binary to ternary systems, to determine the extent to
which the properties in these mixtures can be predicted
on the basis of binary data, and to assess when data
reflecting ternary interactions are absolutely needed.
In the field of correlation and prediction of multicom-
ponent data, many efforts have been developed on
the basis of statistical thermodynamics methods,
several theoretical solution models, and semiempirical
equations.
1-21
Nevertheless, each method seems to have
its own area of application limited to particular types
of systems. These difficulties continue to grow with an
increase in the number of components. For example, in
the case of alcoholic solutions, the classical association
model,
1
based on the so-called formation of polymeric
species of alkanol molecules through hydrogen bonding,
must be improved depending on the chemical nature of
the remainder of the components.
2-15
These improve-
ments affect the physical contribution to the thermo-
dynamic properties
1-3,5,6,12-15
as well as the chemical
contribution.
1-15
So, in ternary mixtures with two
alkanols and one active nonassociating compound,
complex formation should be considered in all three
combinations because of the charge transfer of the self-
associating and active components.
The semiempirical equations more commonly used
19-21
(Redlich-Kister, Colinet, Scatchard-Hillert, and Tsao-
Smith) to predict H
E
of ternary systems are geometrical
methods to establish the contribution of each of the
three binaries involved to the ternary H
E
. For asym-
metric equations with respect to the numbering of
components, it is of great importance which component
is designated as component 1. An additional problem
comes from the fact that H
E
of the constituent binaries
must be known to apply these equations, and the same
occurs for association models.
Group contribution theories
22-27
are powerful meth-
ods to predict ternary data (VLE and/or H
E
), neglecting
ternary interactions. That is, only information from the
set of binary systems that contain the groups present
in the ternary mixture analyzed is needed. However, it
must be elucidated what type of information used is
relevant to improve predictions. For example, it has
* To whom correspondence should be addressed. Fax: + 34-
83-42-31-35. E-mail: jagl@termo.uva.es.
7622 Ind. Eng. Chem. Res. 2004, 43, 7622-7634
10.1021/ie0400696 CCC: $27.50 © 2004 American Chemical Society
Published on Web 10/16/2004