Transferable SAFT-VR models for the calculation of the fluid phase equilibria in reactive mixtures of carbon dioxide, water, and n-alkylamines in the context of carbon capture.

The amine functional groups are fundamental building blocks of many molecules that are central to life, such as the amino acids, and to industrial processes, such as the alkanolamines, which are used extensively for gas absorption. The modeling of amines and of mixtures of amines with water (H(2)O) and carbon dioxide (CO(2)) is thus relevant to a number of applications. In this contribution, we use the statistical associating fluid theory for potentials of variable range (SAFT-VR) to describe the fluid phase behavior of ammonia + H(2)O + CO(2) and n-alkyl-1-amine + H(2)O + CO(2) mixtures. Models are developed for ammonia (NH(3)) and n-alkyl-1-amines up to n-hexyl-1-amine (CH(3)NH(2) to C(6)H(13)NH(2)). The amines are modeled as homonuclear chain molecules formed from spherical segments with additional association sites incorporated to mediate the effect of hydrogen-bonding interactions. The SAFT-VR approach provides a representation of the pure component fluid phase equilibria, on average, to within 1.48% of the experimental data in relative terms for the saturated liquid densities and vapor pressures. A simple empirical correlation is derived for the SAFT-VR parameters of the n -alkylamine series as a function of molecular weight. Aqueous mixtures of the amines are modeled using a model of water taken from previous work. The models developed for the mixtures are of high fidelity and can be used to calculate the binary fluid phase equilibrium of these systems to within 2.28% in relative terms for the temperature or pressure and 0.027 in absolute terms for the mole fraction. Regions of both vapor-liquid and liquid-liquid equilibria are considered. We also consider the reactive mixtures of amines and CO(2) in aqueous solution. To model the reaction of CO(2) with the amine, an additional site is included on the otherwise nonassociating CO(2) model. The unlike interaction parameters for the NH(3) + H(2)O + CO(2) ternary mixture are obtained by comparison to the experimental data available for this system. The resulting model is found to correlate and predict the liquid-phase loading (moles of CO(2) per mole of amine) to within 0.091 of experimental data in absolute terms. The parameters describing the NH(3)-CO(2) interaction are then transferred to other n-alkyl-1-amines, and sample predictions of the fluid phase equilibria for the n-propyl-1-amine + H(2)O + CO(2), n-butyl-1-amine + H(2)O + CO(2), and n-hexyl-1-amine + H(2)O + CO(2) mixtures are presented. The latter mixture is found to exhibit regions of liquid-liquid immiscibility.

[1]  Fabio Marchetti,et al.  Converting carbon dioxide into carbamato derivatives. , 2003, Chemical reviews.

[2]  S. B. Kiselev,et al.  A crossover SAFT-VR equation of state for pure fluids: preliminary results for light hydrocarbons , 2004 .

[3]  Sugata P. Tan,et al.  Recent Advances and Applications of Statistical Associating Fluid Theory , 2008 .

[4]  G. Maurer,et al.  Vapor—liquid equilibria in aqueous solutions of ammonia and carbon dioxide at temperatures between 333 and 393 K and pressures up to 7 MPa , 1988 .

[5]  Dominique Richon,et al.  Vapour-liquid equilibria in the carbon dioxide-water system, measurement and modelling from 278.2 to 318.2K , 2004 .

[6]  David E. Penny,et al.  Kinetic study of the reaction between carbon dioxide and primary amines , 1983 .

[7]  J. Dobrowolski,et al.  Theoretical IR spectra of the (2:1) ammonia–carbon dioxide system , 2000 .

[8]  A perturbed-hard-sphere equation of state for water vapor , 1980 .

[9]  A. Soper,et al.  The structure of polaronic electron cavities in lithium-ammonia solutions , 2004 .

[10]  N. H. Williams,et al.  Electromagnetic Waves of 1.1 cm Wave-Length and the Absorption Spectrum of Ammonia , 1934 .

[11]  W. Wetzel,et al.  New applications of the ERAS model. Thermodynamics of amine + alkane and alcohol + amine mixtures , 1989 .

[12]  Amparo Galindo,et al.  Study of the high pressure phase behaviour of CO2+n-alkane mixtures using the SAFT-VR approach with transferable parameters , 2002 .

[13]  Bala Subramaniam,et al.  Gas-expanded liquids. , 2007, Chemical reviews.

[14]  David A. Fletcher,et al.  The United Kingdom Chemical Database Service , 1996, J. Chem. Inf. Comput. Sci..

[15]  Gary T. Rochelle,et al.  Amine Scrubbing for CO2 Capture , 2009, Science.

[16]  G. Maurer,et al.  Phase equilibria in chemically reactive systems , 1986 .

[17]  The chiral pool as a source of enantioselective catalysts and auxiliaries , 1992 .

[18]  Gary T. Rochelle,et al.  Model of vapor-liquid equilibria for aqueous acid gas-alkanolamine systems using the electrolyte-NRTL equation , 1989 .

[19]  Amparo Galindo† and,et al.  Theoretical Examination of the Global Fluid Phase Behavior and Critical Phenomena in Carbon Dioxide + n-Alkane Binary Mixtures , 2002 .

[20]  M. Wertheim,et al.  Fluids with highly directional attractive forces. IV. Equilibrium polymerization , 1986 .

[21]  I. Nezbeda Simple short-ranged models of water and their application. A review , 1997 .

[22]  George Jackson,et al.  New reference equation of state for associating liquids , 1990 .

[23]  George Jackson,et al.  Phase equilibria of associating fluids , 2006 .

[24]  K. Gubbins,et al.  Phase equilibria of associating fluids : spherical molecules with multiple bonding sites , 1988 .

[25]  Fèlix Llovell,et al.  Thermodynamic properties of Lennard-Jones chain molecules: renormalization-group corrections to a modified statistical associating fluid theory. , 2004, The Journal of chemical physics.

[26]  Clare McCabe,et al.  Examining the Adsorption (Vapor-Liquid Equilibria) of Short-Chain Hydrocarbons in Low-Density Polyethylene with the SAFT-VR Approach , 2001 .

[27]  Luzheng Zhang,et al.  Representing Vapor−Liquid Equilibrium for an Aqueous MEA−CO2 System Using the Electrolyte Nonrandom-Two-Liquid Model , 1999 .

[28]  P. V. Danckwerts The reaction of CO2 with ethanolamines , 1979 .

[29]  George Jackson,et al.  SAFT-VRE: Phase Behavior of Electrolyte Solutions with the Statistical Associating Fluid Theory for Potentials of Variable Range , 1999 .

[30]  G. Jackson,et al.  THERMODYNAMIC PERTURBATION THEORY FOR ASSOCIATION WITH BOND COOPERATIVITY , 1996 .

[31]  Claire S. Adjiman,et al.  Modeling the Fluid Phase Behavior of Carbon Dioxide in Aqueous Solutions of Monoethanolamine Using Transferable Parameters with the SAFT-VR Approach , 2010 .

[32]  A. Galindo,et al.  Classical density functional theory for the prediction of the surface tension and interfacial properties of fluids mixtures of chain molecules based on the statistical associating fluid theory for potentials of variable range. , 2010, The Journal of chemical physics.

[33]  Clare McCabe,et al.  SAFT-VR modelling of the phase equilibrium of long-chain n-alkanes , 1999 .

[34]  M. Wertheim,et al.  Fluids with highly directional attractive forces. I. Statistical thermodynamics , 1984 .

[35]  M. Wendland,et al.  Multiphase high-pressure equilibria of carbon dioxide-water-isopropanol , 1993 .

[36]  K. Moorthi,et al.  Prediction of the vapour-liquid equilibrium of amine + alkane systems on the basis of pure liquid properties , 1991 .

[37]  A. Galindo,et al.  Predicting the High-Pressure Phase Equilibria of Binary Mixtures of n-Alkanes Using the SAFT-VR Approach , 1998 .

[38]  Bruce E. Poling,et al.  Vapor-liquid equilibrium data for the ammonia-water system and its description with a modified cubic equation of state , 1991 .

[39]  G. Jackson,et al.  Theory and computer simulation of hard-sphere site models of ring molecules , 1994 .

[40]  A. Galindo,et al.  Application of the generalised SAFT-VR approach for long-ranged square-well potentials to model the phase behaviour of real fluids , 2009 .

[41]  Fèlix Llovell,et al.  Global fluid phase equilibria and critical phenomena of selected mixtures using the crossover soft-SAFT equation. , 2006, The journal of physical chemistry. B.

[42]  G. Jackson,et al.  The ring integral in a thermodynamic perturbation theory for association , 1996 .

[43]  George Jackson,et al.  Modeling the Cloud Curves and the Solubility of Gases in Amorphous and Semicrystalline Polyethylene with the SAFT-VR Approach and Flory Theory of Crystallization , 2004 .

[44]  Gholamreza Pazuki,et al.  Prediction of phase behavior of CO2–NH3–H2O system by using the UNIQUAC-Non Random Factor (NRF) model , 2006 .

[45]  George Jackson,et al.  Statistical associating fluid theory for chain molecules with attractive potentials of variable range , 1997 .

[46]  S. Lemkowitz,et al.  An Empirical Thermodynamic Model for the Ammonia-Water-Carbon Dioxide System at Urea Synthesis Conditions , 2007 .

[47]  S. Lemkowitz,et al.  A phase model for the gas–liquid equilibria in the ammonia–carbon dioxide–water–urea system in chemical equilibrium at urea synthesis conditions. I. Theory , 2007 .

[48]  E. A. Brignole,et al.  A group contribution equation of state for associating mixtures , 1996 .

[49]  S. B. Kiselev,et al.  Predicting mixture phase equilibria and critical behavior using the SAFT-VRX approach. , 2005, The journal of physical chemistry. B.

[50]  Jackson,et al.  Thermodynamic perturbation theory for association into chains and rings. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[51]  Edward J. Daniels,et al.  CO2 capture from the flue gas of conventional fossil‐fuel‐fired power plants , 1994 .

[52]  T. J. Edwards,et al.  Thermodynamics of aqueous solutions containing volatile weak electrolytes , 1975 .

[53]  George Jackson,et al.  Mixtures of associating spherical and chain molecules , 1989 .

[54]  M. M. Piñeiro,et al.  Simultaneous estimation of phase behavior and second-derivative properties using the statistical associating fluid theory with variable range approach. , 2006, The Journal of chemical physics.

[55]  Kenneth S. Pitzer,et al.  Thermodynamics of electrolytes. I. Theoretical basis and general equations , 1973 .

[56]  M. Michelsen,et al.  Extension of the Cubic-plus-Association (CPA) Equation of State to Amines , 2005 .

[57]  S. Lemkowitz,et al.  A phase model for the gas–liquid equilibria in the ammonia–carbon dioxide–water–urea system in chemical equilibrium at urea synthesis conditions. II. Experimental verification , 2007 .

[58]  Sheng Zhang,et al.  Renormalization group theory for fluids , 1993 .

[59]  Herbert I. Britt,et al.  Local composition model for excess Gibbs energy of electrolyte systems. Part I: Single solvent, single completely dissociated electrolyte systems , 1982 .

[60]  Stanley H. Huang,et al.  Equation of state for small, large, polydisperse, and associating molecules , 1990 .

[61]  Constantinos C. Pantelides,et al.  Efficient Solution of the Association Term Equations in the Statistical Associating Fluid Theory Equation of State , 2006 .

[62]  George Jackson,et al.  THE THERMODYNAMICS OF MIXTURES AND THE CORRESPONDING MIXING RULES IN THE SAFT-VR APPROACH FOR POTENTIALS OF VARIABLE RANGE , 1998 .

[63]  E. A. Brignole,et al.  Phase Behavior Modeling of Alkyl−Amine + Water Mixtures and Prediction of Alkane Solubilities in Alkanolamine Aqueous Solutions with Group Contribution with Association Equation of State , 2010 .

[64]  M. Wertheim,et al.  Fluids with highly directional attractive forces. III. Multiple attraction sites , 1986 .

[65]  S. Asai,et al.  The kinetics of reactions of carbon dioxide with monoethanolamine, diethanolamine and triethanolamine by a rapid mixing method , 1977 .

[66]  Y. Jung,et al.  Analysis of the CO2 and NH3 reaction in an aqueous solution by 2D IR COS: formation of bicarbonate and carbamate. , 2008, The journal of physical chemistry. A.

[67]  John Newman,et al.  Vapor‐liquid equilibria in multicomponent aqueous solutions of volatile weak electrolytes , 1978 .

[68]  G. Jackson,et al.  Prediction of the Vapor−Liquid Interfacial Tension of Nonassociating and Associating Fluids with the SAFT-VR Density Functional Theory† , 2007 .

[69]  M. Wertheim,et al.  Fluids with highly directional attractive forces. II. Thermodynamic perturbation theory and integral equations , 1984 .

[70]  Henry W. Pennline,et al.  Semi-batch absorption and regeneration studies for CO2 capture by aqueous ammonia , 2005 .

[71]  S. Lemkowitz,et al.  Densities of urea–ammonia–water–carbon dioxide solutions in chemical equilibrium at and above urea synthesis conditions , 2007 .

[72]  G. Jackson,et al.  An analytical equation of state for chain molecules formed from Yukawa segments , 1999 .

[73]  P. V. Danckwerts,et al.  Reaction of CO2 with ethanolamines: kinetics from gas-absorption , 1981 .

[74]  G. Jackson,et al.  Thermodynamics of Liquid Mixtures of Xenon with Alkanes: (Xenon + Ethane) and (Xenon + Propane) , 2000 .

[75]  R. Stephenson Mutual solubility of water and aliphatic amines , 1993 .

[76]  Andrew J. Haslam,et al.  Developing optimal Wertheim-like models of water for use in Statistical Associating Fluid Theory (SAFT) and related approaches , 2006 .

[77]  Liming W. Salvino,et al.  Calculation of density fluctuation contributions to thermodynamic properties of simple fluids , 1992 .

[78]  A. Galindo,et al.  Phase equilibria, excess properties, and henry's constants of the water + carbon dioxide binary mixture , 2007 .

[79]  E. A. Brignole,et al.  Phase Behavior Modeling of Alkyl Amine + Hydrocarbon and Alkyl Amine + Alcohol Systems Using a Group Contribution Associating Equation of State , 2009 .

[80]  Y. Arai,et al.  Correlation of VLE of CO2NH3H2O using the perturbed hard-sphere, equation of state , 1989 .

[81]  James G. Stevens,et al.  Maximising opportunities in supercritical chemistry: the continuous conversion of levulinic acid to gamma-valerolactone in CO(2). , 2007, Chemical communications.

[82]  Lawrence B. Evans,et al.  A local composition model for the excess Gibbs energy of aqueous electrolyte systems , 1986 .

[83]  Erich A. Müller,et al.  Molecular-Based Equations of State for Associating Fluids: A Review of SAFT and Related Approaches , 2001 .

[84]  Edward S Rubin,et al.  A technical, economic, and environmental assessment of amine-based CO2 capture technology for power plant greenhouse gas control. , 2002, Environmental science & technology.

[85]  A. Galindo,et al.  Recent advances in the use of the SAFT approach in describing electrolytes, interfaces, liquid crystals and polymers , 2001 .

[86]  W. A. Felsing,et al.  Vapor Pressures and Other Physical Constants of Methylamine and Methylamine Solutions , 1929 .

[87]  H. Deguchi,et al.  Structure of Monoethanolamine and Diethanolamine Carbamates in Aqueous Solutions Determined by High-Energy X-ray Scattering , 2010 .

[88]  G. Jackson,et al.  Describing the Properties of Chains of Segments Interacting Via Soft-Core Potentials of Variable Range with the SAFT-VR Approach , 1998 .

[89]  Dimitrios P. Tassios,et al.  An Equation of State for Associating Fluids , 1996 .

[90]  S. Lemkowitz,et al.  Bubble‐point measurements in the ammonia‐carbon dioxide system , 2007 .

[91]  G. Carvoli,et al.  NH3−CO2−H2O VLE calculation using an extended UNIQUAC equation , 1989 .

[92]  George Jackson,et al.  SAFT: Equation-of-state solution model for associating fluids , 1989 .

[93]  G. Jackson,et al.  Thermodynamic perturbation theory for association into doubly bonded dimers , 1994 .

[94]  G. Jackson,et al.  Thermodynamics of Liquid Mixtures of Xenon with Alkanes: (Xenon + n-Butane) and (Xenon + Isobutane) , 2000 .

[95]  A. Galindo,et al.  Modelling the phase equilibria and excess properties of the water + carbon dioxide binary mixture , 2007 .

[96]  G. Jackson,et al.  An accurate density functional theory for the vapor-liquid interface of associating chain molecules based on the statistical associating fluid theory for potentials of variable range. , 2004, The Journal of chemical physics.

[97]  J. Prausnitz,et al.  Statistical thermodynamics of liquid mixtures: A new expression for the excess Gibbs energy of partly or completely miscible systems , 1975 .

[98]  Joachim Gross,et al.  Application of the Perturbed-Chain SAFT Equation of State to Associating Systems , 2002 .

[99]  A. Okotrub,et al.  X-ray spectra and electronic structure of solid ammonia , 1996 .

[100]  S. B. Kiselev,et al.  An improved parametric crossover model for the thermodynamic properties of fluids in the critical region , 1993 .

[101]  George Jackson,et al.  A statistical associating fluid theory for electrolyte solutions (SAFT-VRE) , 2001 .