GC-PPC-SAFT Equation of State for VLE and LLE of Hydrocarbons and
Oxygenated Compounds. Sensitivity Analysis
Thanh-Binh Nguyen,
†
Jean-Charles de Hemptinne,*
,†
Benoit Creton,
†
and Georgios M. Kontogeorgis
‡
†
IFP Energies nouvelles, 1-4 avenue de Bois-Pre ́ au, 92852 Rueil-Malmaison, France
‡
Center for Energy Resources Engineering (CERE), Department of Chemical and Biochemical Engineering, Technical University of
Denmark, DK-2800 Lyngby, Denmark
* S Supporting Information
ABSTRACT: Group-contribution polar versions of SAFT equations of state are very useful for predictive calculations of
mixtures containing diverse polar molecules. In this work, we have evaluated the predictive performance of one such model, the
so-called polar perturbed-chain (PPC) SAFT model for phase-equilibrium properties of 290 hydrocarbons and monofunctional
oxygenated compounds. Emphasis has been given on carrying out an extensive evaluation considering diverse types of phase
behavior (vapor-liquid and liquid-liquid equilibria) and properties/conditions (Henry’s law constant for H
2
,N
2
, and CH
4
;
infinite-dilution activity coefficient in water; solubility in water; infinite-dilution n-octanol/water partition coefficient). In general,
considering the predictive nature of the calculations, encouraging results were obtained. For pure-component vapor pressures
and liquid molar volumes, the deviations are very small, at 20% and 3%, respectively. The deviations in the prediction of the
Henry’s law constants are within a factor of 2, with the best results found for the methane and nitrogen solubilities. For
solubilities in water and, consequently, for infinite-dilution n-octanol/water partition coefficients, deviations are within a factor of
2 for hydrocarbons and within a factor of 4 for alcohols and aldehydes, but they are large for the other oxygenated families. To
identify paths for improvement, a sensitivity analysis was performed, indicating that all of the parameters make large
contributions to almost all properties. In addition, the sensitivity of the infinite-dilution activity coefficient in water to the
molecular size parameters was extremely high. This suggests that a small change in these parameters might improve the results
significantly.
1. INTRODUCTION
The development of chemical processes for converting so-called
second-generation biomass into biofuels and primary chemicals
has received considerable attention, especially in the context of
the depletion of fossil resources and global warming. Many
processes are being developed at an industrial scale for this
purpose.
1,2
The design and optimization of these industrial
processes require reliable knowledge of the phase-equilibrium
behavior of bioresources in a broad range of conditions. In
contrast to fossil feedstocks, bioresources contain large amounts
of oxygen-bearing compounds such as alcohols, acids, esters, and
ketones.
3,5
For these fluids, classical models such as cubic
equations of state and activity-coefficient models perform less
satisfactorily because of strongly associating interactions present
in these systems.
6
In an attempt to overcome this problem, many
thermodynamic models have been proposed for associating
fluids, such as those found in biomaterials.
7
One of the older
successful models is the associated perturbed anisotropic chain
theory (APACT) equation of state (EoS) developed by
Ikonomou and Donohue.
8
This model was used to predict the
thermodynamic behaviors of pure associating substances as well
as mixtures.
9
Another model, proposed by the research group of
Brignole, is the group-contribution association equation of state
(GCA EoS).
10
The GCA EoS consists of an association term
originating from Wertheim theory and the GC EoS developed by
Skjold-Joergensen.
11
This model has been used successfully for
systems containing fatty acids,
12
alcohols, esters, glycerol, and
oxygenated aromatics,
13
for both liquid-liquid and liquid-vapor
equilibria.
14
Coutinho’s group in Portugal used the cubic plus
association (CPA) EoS
15
for calculating the phase equilibria of
products originating from biomass, particularly esters.
16,17
The
CPA EoS is a combination of the Soave-Redlich-Kwong (SRK)
cubic equation of state with an association term. The parameters
of this model were obtained from fitting experimental data.
However, these equations of state have not been extensively
applied to complex oxygenated fluids of relevance to biomass
processing.
Assisted by the development of molecular simulation tools,
new equations of state that are based on statistical thermody-
namic concepts have been developed. One of them is the
statistical associating fluid theory SAFT EoS, which was
proposed by Chapman et al.
18,19
on the basis of Wertheim’s
perturbation theory.
20,21
According to this approach, equations
of state are constructed on the basis of a physical description of
the relevant molecules. During the past two decades, many
versions of SAFT equations have been proposed such as the
original SAFT,
19
Chen-Kreglewski SAFT (CK-SAFT),
22
simplified SAFT,
23
Lennard-Jones SAFT (LJ-SAFT),
24,25
soft-
SAFT,
26
variable-range SAFT (SAFT-VR),
27
perturbed-chain
SAFT (PC-SAFT),
28
and simplified PC-SAFT.
29
More details
can be found in some reviews.
30-33
In general, the principal
Received: October 14, 2012
Revised: April 24, 2013
Accepted: April 25, 2013
Article
pubs.acs.org/IECR
© XXXX American Chemical Society A dx.doi.org/10.1021/ie3028069 | Ind. Eng. Chem. Res. XXXX, XXX, XXX-XXX