Abstract
The aim of this work is to report the experimental data and thermodynamic modeling of phase equilibrium of binary systems containing soybean and olive oils with propane and n-butane. Phase equilibrium experiments were carried out using the static synthetic method in a high-pressure variable-volume view cell in the temperature range from 30 to 70ºC and varying the solvent overall composition from 5 to 98 wt%. Vapor-liquid, liquid-liquid and vapor-liquid-liquid phase transitions were observed at relatively low pressures. The Peng-Robinson and the SAFT equations of state without any binary interaction parameters were employed in an attempt at representing the phase behavior of the systems. Results show the satisfactory performance of SAFT-EoS in predicting qualitatively all phase transitions reported in this work.
Vapor-liquid equilibria; Liquid-liquid equilibria; Triglycerides; Propane; N-butane
THERMODYNAMICS
Phase behavior of olive and soybean oils in compressed propane and n-butane
P. M. NdiayeI; M. LanzaII; F. W. TavaresI; C. DarivaII; D. OliveiraII; J. Vladimir OliveiraII, ** To whom correspondence should be addressed
IEscola de Química, Universidade Federal do Rio de Janeiro, Cidade Universitária, Rio de Janeiro, 21949-900, RJ, Brazil
IIDepartment of Food Engineering, URI-Campus de Erechim, Av. Sete de Setembro, 1621, Erechim-RS, 99700-000, Fax: +55-54-3520-9000, Brazil. E-mail: vladimir@uricer.edu.br
ABSTRACT
The aim of this work is to report the experimental data and thermodynamic modeling of phase equilibrium of binary systems containing soybean and olive oils with propane and n-butane. Phase equilibrium experiments were carried out using the static synthetic method in a high-pressure variable-volume view cell in the temperature range from 30 to 70ºC and varying the solvent overall composition from 5 to 98 wt%. Vapor-liquid, liquid-liquid and vapor-liquid-liquid phase transitions were observed at relatively low pressures. The Peng-Robinson and the SAFT equations of state without any binary interaction parameters were employed in an attempt at representing the phase behavior of the systems. Results show the satisfactory performance of SAFT-EoS in predicting qualitatively all phase transitions reported in this work.
Keywords: Vapor-liquid equilibria; Liquid-liquid equilibria; Triglycerides; Propane; N-butane.
INTRODUCTION
Triglycerides and their fatty acid esters are important raw materials in many industrial processes. Their transformation provides products with high market values such as monoglycerides, widely used as emulsifiers in the food, cosmetics and pharmaceutical industries (Schmid, 1987; Ranalli and Mattia, 1997; Shiomori et al., 1995; Bhaskar et al., 1993). Furthermore, the transesterification of oil and fats produces a mixture of esters known as biodiesel. Such products have attracted considerable environmental interest in the past few years, mainly due to the low levels of pollutant emitted by user engines. Generally, the oil transformation in industrial scale is commonly accomplished by an acid or base-catalyzed reaction. However, yields reported as well as the quality of the products are usually low (Al Saadi and Jeffreys, 1981).
An alternative process for obtaining products of high-grade quality is the use of enzyme-catalyzed reactions in supercritical or compressed solvents. Numerous studies have shown that many reactions can be conducted in compressed liquid or supercritical solvent and, in some cases, rates and selectivities achieved are greater than those obtained in normal liquid or gas phase reactions (Rendón et al., 2001; Oliveira and Oliveira, 2000; Jackson and King, 1997; Savage et al., 1995; King et al., 1987). To conduct such reactions, knowledge of the phase behavior of all components in the compressed solvent is of primary importance for process design optimization and for preventing enzyme inactivation due to the effects of high pressure.
The majority of these studies was carried out using supercritical carbon dioxide because it is a nonflammable and nontoxic solvent and is inexpensive and readily available at a high purity (Florusse et al., 2004; Bruin, 1999). Carbon dioxide, either as an expanded liquid or as a supercritical fluid, may be a viable solvent for a variety of conventional reactions. However, a limiting factor in the use of carbon dioxide is the triglycerides solubility, which requires relatively high pressures. Moreover, as shown by Oliveira and Oliveira (2001), the partial solubility of carbon dioxide can significantly affect the reaction yields.
Thus, more studies are needed on the phase equilibrium of triglyceride mixtures and their fatty acid esters in an alternative medium, which would allow the use of moderate pressures. Propane or n-butane could be a good choice since their critical pressures are relatively low compared to that of carbon dioxide. Numerous studies have reported a relatively high solubility of triglycerides and their fatty acids and in propane (Pareda et al., 2002; Straver et al., 1998; De la Fuente et al., 1994, 1997; Coorens et al., 1988). Nevertheless, to our knowledge, no phase equilibrium experimental data involving soybean and olive oils in propane and n-butane have been reported in the literature. In this context, the aim of this work is to investigate the phase behavior and thermodynamic modeling of binary systems consisting of soybean and olive oils in propane and n-butane.
EXPERIMENTAL
Materials
The propane and n-butane used in this work were supplied by White Martins S.A at a purity higher than 99.5%. The vegetable oils (olive Otoyan, and soybean - Soya) were purchased from a commercial household and were used without any additional treatment. The oils were stored in a dry place and protected from sunlight prior to use. The fatty acid composition of soybean and olive oils was determined using a gas chromatograph (Agilent 6850 Series GC System). The following instrumentation and conditions were used: capillary column DB-23 Agilent (50% cyanopropyl-methylpolysiloxane, 60 m x 0.25 mm i.d. x 0.25 µm film thickness); split ratio: 1:50; injection volume: 1.0 µL. Column temperature was programmed from 175 °C to 215 °C - 5 °Cmin-1. Helium was the carrier gas, and the injection and detector temperatures were 250 °C and 280 °C, respectively. The chemical compositions of the vegetable oils used in this work are presented in Table 1.
Experimental Procedure
The experimental apparatus and procedure used in this study are described in detail elsewhere (Dariva et al., 2001; Corazza et al., 2003). Phase equilibrium experiments (cloud points) were carried out in a high-pressure variable-volume view cell. The apparatus basically consists of a view cell with two sapphire windows for visual observations, an absolute pressure transducer (Smar LD 301) with a precision of ± 0.31 bar, a portable programmer (Smar, HT 201) for the pressure data acquisition, and a syringe pump (ISCO 500D). The equilibrium cell includes a movable piston, which permits pressure control inside the cell. Phase transitions were observed visually through manipulation of the pressure using the syringe pump with the solvent as pressurizing fluid. The experimental apparatus is schematically presented in Figure 1.
Initially, a precise amount of vegetable oil was loaded into the equilibrium cell. Then the cell was flushed with low-pressure solvent to remove any residual air. The solvent was loaded with the help of the syringe pump until a desired overall composition was achieved in the cell. The mixture was then continuously mixed with a magnetic stirrer, and once the desired temperature was reached the pressure system was increased until a one-phase system was visualized in the cell. At this point, the system was maintained at least 30 min to allow it to stabilize. At this point, system pressure was slowly decreased (typically at a rate of 3 bar/min) until a new phase was observed. This procedure was repeated at least three times for each given temperature and global composition, resulting in an overall average pressure measurement reproducibility of 0.70 bar.
THERMODYNAMIC MODELING
In this work, two equations of state were employed for representing the phase equilibrium experimental data: the Peng-Robinson-EoS (Peng and Robinson, 1976) and the SAFT-EoS (Huang and Radosz 1990, 1991). In the Peng-Robinson model, the conventional van der Waals mixing and combining rules were used:
In these equations, the binary interaction parameters were set to zero. Experimental information about the critical properties of pure component and acentric factors needed to describe the phase behavior of vegetable oils through an equation of state. In this work, the Constantinou and Gani group contribution method (Constantinou and Gani, 1994) was adopted to estimate triglyceride critical constants and the acentric factor. Oils were treated as pseudocomponents, and critical properties were obtained by weighing the individual values of oil triglyceride constituents with their respective compositions, as presented in Table 1. In Table 2 the properties of pure compounds employed in this work are listed. For propane and n-butane they were taken from the literature (Reid et al., 1987).
SAFT-EoS
Over the past decade, the Statistical Associating Fluid Theory (SAFT) (Huang and Radosz 1990, 1991) has been successfully employed in the calculation of phase equilibrium of systems containing macromolecules, especially those with polymers (Ndiaye et al., 2001; Chen et al., 1992; Dariva et al., 2001). The success of SAFT-EoS is probably due to the better modeling of molecules, which are considered to be a collection of spherical segments with repulsive (hard-sphere) and attractive (dispersion) force fields. Besides, these spheres can be bound by covalent bonds to form chains (chain effect), and through specific interactions like hydrogen bonds to form short-live clusters (association effect). A detailed description of SAFT-EoS can be found elsewhere (Huang and Radosz 1990, 1991). Briefly, this equation is written in terms of the residual Helmholtz free energy (ares),
where aref and apert are the reference and perturbation terms, respectively. The reference part of the SAFT-EoS includes the hard-sphere, chain and association contributions, while the perturbation part accounts for the relatively weaker mean-field dispersion-like effects. The reference term of SAFT-EoS is given by
where ahs, achain and aass denote free energy contribution to hard-spheres, chain formation and association, respectively.
The perturbation part, or dispersion term, of the SAFT-EoS is a power series in temperature and density, as proposed originally by Alder et al. (1972) and has been extended to mixtures using the van der Waals one-fluid theory. This free energy contribution is
where Dij are universal constants determined by Chen and Kreglewski (1977) and t=0.74048.
For mixtures, the segment number m is expressed as
and the dispersion energy, , is calculated using a based-volume fraction mixing rule, as suggested by Huang and Radosz (1991)
The volume fraction of component i (fi) is defined as
and the cross-interaction energy term, uij, is given by the combining rule
with
is the temperature-dependent segment molar volume, related to the temperature-independent ()
where C is a universal constant (in this work, C=0.12), is the temperature-independent segment energy and e/k is a universal constant (e/k=10 K for all compounds in this work).
The final form of the SAFT-EoS is given in terms of the compressibility factor and is obtained by taking the derivative of the residual Helmholtz free energy with respect to density as
For nonassociating systems the SAFT-EoS has three parameters for each pure component: the segment number (m), the temperature-independent segment volume (voo) and the temperature-independent segment energy (uº/k). In this work, following the same strategy discussed in the PR modeling, oils were treated as pseudocomponents. The volume segment was fixed at 12 mL/mol, as suggested by Huang and Radosz for macromolecules. The segment numbers and the energy parameters were estimated by fitting the equation to experimental data of vapor pressure and compressed liquid density (Acosta et al., 1996; Ndiaye et al., 2004). SAFT-EoS parameters for propane and n-butane were taken from the literature (Huang and Radosz 1990). In Table 3 the SAFT-EoS parameters for all components employed in this work are presented.
RESULTS AND DISCUSSION
In Table 4 the P-T-x data for the binary systems soybean and olive oils in propane are presented while in Table 5 the P-T-x data for n-butane/soybean oil and n-butane/olive oil systems are shown.
Figures 2 to 5 are experimental P-x projections at various temperatures for the systems investigated. Points are experimental data, whereas dashed and full lines are respectively the Peng-Robinson and SAFT EoS calculations. These figures show that soybean and olive oils have similar phase behavior when propane or n-butane is used as solvent. This fact was already expected, because these oils have similar triglyceride constituents. For systems with propane, vapor-liquid transitions were observed for temperatures up to 60 ºC. At 70 ºC, in addition to the vapor-liquid transition, liquid-liquid and liquid-liquid-vapor transitions were recorded. In all these figures one can observe a pressure maximum in the P-x projection at low solvent composition especially for n-butane. Because all temperatures investigated here are below the solvent critical temperature, a maximum in pressure in the P-x plane for vapor-liquid equilibrium of a true-binary system should indicate the formation of an azeotrope. However, the formation of an azeotrope was not experimentally observed. Thus, the maximum observed in the P-x diagrams for vapor-liquid coexistence might be explained by the polydisperse nature of soybean and olive oils (see Table 1). This fact also explains why the vapor-liquid-liquid region is not a line, as one would expect for a true binary system, but rather a band. For systems with propane and soybean oil or olive oil, the same trend is observed with a slightly smaller effect of polydisperse oils.
It may be important to call attention to the fact that both thermodynamic equations of state were used without any binary interaction parameters. Results show that, in contrast to the Peng-Robinson EoS, which predicts only vapor-liquid transition at all temperatures and compositions investigated, the SAFT-EoS is able to predict all transitions experimentally observed but with an overprediction for the liquid-liquid immiscibility region. It is believed that to improve the performance of both models, the polydisperse nature of vegetable oils should be taken into account. This topic is now under investigation within our working group.
CONCLUSIONS
The phase behavior of soybean and olive oils were experimentally investigated in this work. Vapor-liquid, liquid-liquid and vapor-liquid-liquid transitions were observed when propane was used as solvent, while for systems with n-butane, only vapor-liquid phase equilibrium was detected. In all cases investigated a complete miscibility was reached in the overall composition range investigated at relatively low pressures. The polydisperse nature of vegetable oils is more outstanding at low solvent concentrations. This means that compressed propane or butane may be an alternative medium for fractionating the vegetable oils. The Peng-Robinson and the SAFT EoS presented only a qualitative representation of the experimental data when no binary interaction parameters were employed in the calculations.
ACKNOWLEDGEMENTS
The authors thank CNPq, CAPES, FAPERGS and ANP/FINEP - PETROBRAS for the scholarship and financial support of this work.
Received: October 20, 2004
Accepted: April 14, 2006
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Publication Dates
-
Publication in this collection
13 Dec 2006 -
Date of issue
Sept 2006
History
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Received
20 Oct 2004 -
Accepted
14 Apr 2006