376 Copyright © 2009 The Society of Chemical Engineers, Japan
Journal of Chemical Engineering of Japan, Vol. 42, No. 6, pp. 376–380, 2009 Research Paper
Recommended NRTL Model Parameters by Simultaneous Correlation
of VLE, Infinite Dilution Activity Coefficients and Excess Enthalpy Data
Katsumi TOCHIGI
1
, Jürgen RAREY
2
and Jürgen GMEHLING
2
1
Department of Materials and Applied Chemistry, Nihon University,
1-8, Surugadai, Kanda, Chiyoda-ku, Tokyo 101-8308, Japan
2
Department of Industrial Chemistry, University of Oldenburg,
D-26111, Oldenburg, Germany
Keywords: NRTL Parameter, VLE, Infinite Dilution Activity Coefficient, Excess Enthalpy
This paper deals with the determination of recommended temperature dependent NRTL parameters
by simultaneous correlation of VLE-,
γ
γ
γ
∞
-, and h
E
data from the Dortmund Data Bank (DDB) using an
interactive program package. Correlation results for selected mixtures are discussed in detail. The pro-
gram package RECVAL is directly interfaced to the Dortmund Data Bank, makes extensive use of graphics
for data representation and may be extended for the correlation and prediction of further mixture or
pure component data. To ensure rapid conversion in case of a large amount of data, simultaneous con-
vergence of the outer parameter fitting loop and the inner phase equilibrium iterations is employed.
Recommended temperature dependent NRTL parameters have been determined for 133 binary systems.
These parameters have been obtained by a simultaneous fit to VLE-,
γ
γ
γ
∞
-, and h
E
-data stored in DDB.
Introduction
In order to represent the phase equilibrium behavior
of multicomponent mixtures, g
E
models like Wilson
(Wilson, 1964), NRTL (Renon and Prausnitz, 1968),
UNIQUAC (Abrams and Prausnitz, 1975) and SILS
(Tochigi and Kojima, 1983) are usually employed in the
chemical industry. These models allow the prediction of
the phase equilibrium behavior of multicomponent sys-
tems using two or three binary interaction parameters for
each binary combination of components in the mixture.
The parameters may be derived either from experimental
phase equilibrium data or estimated mixture data via com-
mon regression algorithms. Recommended parameters
published earlier have been regressed to fully consistent
VLE data (Gmehling et al., 1977–2007) only. In order to
represent the phase behavior over a wide range of com-
position, temperature (pressure) with good accuracy, in
addition to VLE data and γ
∞
values for an improved de-
scription of the diluted concentration range should be used
together with h
E
data, which supply information about
the temperature dependence of the real mixture behavior
via the Gibbs–Helmhotz equation. For this purpose,
Rarey-Nies et al. (1988, 1989) had developed a program-
package (RECVAL) interfaced directly to the Dortmund
Data Bank (DDB) (Gmehling, 1985; Gmehling et al.,
2008). Newer versions of this software also allow the in-
clusion of liquid–liquid and solid–liquid equilibrium data
as well as azeotropic compositions and excess heat ca-
pacities.
In the g
E
models, NRTL equation is easy to han-
dle and has been widely used from practical point of
view. This paper deals with the determination of rec-
ommended temperature dependent NRTL parameters
by a simultaneous correlation of VLE-, γ
∞
-, and h
E
data
stored in the Dortmund Data Bank.
1. Temperature Dependent NRTL Model Param-
eters
In case of binary mixtures, activity coefficients can
be calculated from the NRTL model using Eqs. (1)–(3).
ln γ τ
τ
1 2
2
21
21
1 2 21
2
12 12
2 1 12
2
1 =
+
+
+ ( )
() x
G
x xG
G
x xG
ln γ τ
τ
2 1
2
12
12
2 1 12
2
21 21
1 2 21
2
2 =
+
+
+ ( )
() x
G
x xG
G
x xG
where
τ τ
12
12
21
21
= = ( )
∆ ∆ g
RT
g
RT
, 3a
ln , ln G G
12 12 12 21 12 21
=− =− ( )
ατ ατ 3b
Here ∆g
12
, ∆g
21
, α
12
are binary interaction parameters.
Received on June 27, 2008; accepted on March 9, 2009. Cor-
respondence concerning this article should be addressed to
K. Tochigi (E-mail address: tochigi@chem.cst.nihon-u.ac.jp).