Fluid Phase Equilibria 309 (2011) 179–189
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Fluid Phase Equilibria
j our na l ho me page: www.elsevier.com/locate/fluid
Thermodynamic modeling of hydrogen sulfide solubility in ionic liquids using
modified SAFT-VR and PC-SAFT equations of state
Mahboubeh Rahmati-Rostami
a
, Bahman Behzadi
b
, Cyrus Ghotbi
a,∗
a
Department of Chemical and Petroleum Engineering, Sharif University of Technology, P.O. Box 11365-9465, Tehran, Iran
b
Thermodynamics Research Laboratory, School of Chemical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran
a r t i c l e i n f o
Article history:
Received 2 April 2011
Received in revised form 15 July 2011
Accepted 19 July 2011
Available online 26 July 2011
Keywords:
Ionic liquids
SAFT-VR
PC-SAFT
Square-well potential
Dipole–dipole interactions
Solubility
a b s t r a c t
Equations of state based on the statistical associating fluid theory for potentials of variable range (SAFT-
VR) and the perturbed chain statistical associating fluid theory (PC-SAFT) have been used to model the PVT
behavior of ionic liquids and the solubility of H
2
S in six imidazolium-based ionic liquids. The studied sys-
tems included [bmim][PF6], [hmim][PF6], [bmim][BF4], [hmim][BF4], [bmim][NTF2] and [hmim][NTF2]
at various temperatures and pressures.
For pure components, parameters of the models have been obtained by fitting the models to experi-
mental data on liquid densities; the average relative deviation between the calculated and experimental
densities for ionic liquids is less than 2.42% in the PC-SAFT model and 5.44% in the SAFT-VR approach, the
latter which incorporates the square-well potential for short-range interactions. In both models an addi-
tional term has been added to account for dipole–dipole interactions between solute molecules resulting
from the permanent charges on the chain molecules of the solvents. The model parameters have also
been correlated as functions of the molecular weight of the solvents. For binary mixtures of ionic liq-
uids and H
2
S, the association interactions between H
2
S molecules and between the ionic liquids and H
2
S
molecules have also been taken into account in both approaches, using binary interaction coefficients.
The results show an average deviation of less than 5% in the calculation of the mole fraction of H
2
S in the
ionic liquids. The effect of inclusion of the polar term has been studied for binary systems in both models.
© 2011 Elsevier B.V. All rights reserved.
1. Introduction
Ionic liquids (ILs) are found to be potentially suitable solvents
for the chemical process industry, with the prospect of being used
as environmentally friendly solvents, or as reaction and separation
media. They are molten salts with melting points close to room
temperature [1]. Their most remarkable property is that their vapor
pressure is negligibly small, which results in ILs being practically
nonvolatile and odorless, and they are generally non-flammable
[2], resulting in a considerable decrease of solvent loss and envi-
ronmental harm when used in separation processes, as well as
increased safety in handling and processing. Other characteristics
of ILs include a wide liquid temperature range, high thermal and
electrochemical stability, high ionic conductivity and fair proper-
ties as solvents [3,4].
Different ILs can be considered for a variety of applications by
altering the anion–cation combination in the molecular structure.
Thus, knowledge about the phase behavior and other properties of
∗
Corresponding author. Tel.: +98 21 66005819; fax: +98 21 66022853.
E-mail address: ghotbi@sharif.edu (C. Ghotbi).
mixtures containing ILs becomes important in the design of sepa-
ration and extraction processes. The solubility of gases in ILs is one
of the most important properties for the design and operation of
many chemical processes. One of the foreseeable industrial appli-
cations in the field of natural gas processing is the replacement of
traditional organic solvents, usually alkanolamine solutions which
are presently used for the absorption of H
2
S and CO
2
from sour
gases, by suitable ILs.
During the past two decades many studies have been reported
on the thermodynamic modeling of gas solubility in ionic liquids
(cf. [5–11]). Recently, the tPC-PSAFT equation of state (EOS) has
been used by Kroon et al. [5] for the determination of the solubil-
ity of CO
2
in several ILs at pressures up to 100 MPa and for mole
fractions up to 0.75 for CO
2
; good agreement was obtained with
experimental data. Wang et al. [6] used a square-well chain-fluid
equation of state to correlate the solubilities of gases such as CO
2
,
C
3
H
6
, C
3
H
8
, C
4
H
10
in various ILs; it is shown that the solubility of
CO
2
in ionic liquids can be correlated using only one temperature-
independent adjustable interaction parameter. Andreu and Vega
[7] used the soft-SAFT EOS to model the solubility of carbon dioxide
in imidazolium-based ILs; for the pure components, a correla-
tion of the molecular model parameters of the ILs as a function
0378-3812/$ – see front matter © 2011 Elsevier B.V. All rights reserved.
doi:10.1016/j.fluid.2011.07.013