Thermodynamic modeling of phase equilibria of semi-clathrate hydrates of CO2, CH4, or N2+tetra-n-butylammonium bromide aqueous solution

Abstract Prediction of phase equilibria of semi-clathrate hydrates has been very rarely investigated in the literature. In this work, a thermodynamic model is proposed for representation/prediction of phase equilibria of semi-clathrate hydrates of the CO2, CH4, or N2+tetra-n-butylammonium bromide (TBAB) aqueous solution. For modeling the hydrate phase, the van der Waals–Platteeuw (vdW–P) solid solution theory is used, revised with two modifications for evaluations of Langmuir constants and vapor pressure of water in the empty hydrate lattice, in which these values are supposed to be a function of TBAB concentration in aqueous solution. The Peng–Robinson (PR-EoS) equation of state along with re-tuned parameters of Mathias–Copeman alpha function is applied for calculation of the fugacity of gaseous hydrate former. For determination of the activity coefficient of the non-electrolyte species in the aqueous phase, the Non-Random Two-Liquid (NRTL) activity model is used. To calculate the mean activity coefficients of the electrolyte portion, a correlation on the basis of existing osmotic coefficient and activity coefficient values is employed. It is shown that the presented model results are in acceptable agreement with the experimental semi-clathrate hydrate dissociation data investigated in this work.

[1]  Jafar Javanmardi,et al.  Energy consumption and economic evaluation of water desalination by hydrate phenomenon , 2003 .

[2]  Young Seok Kim,et al.  Gas hydrate formation process for pre-combustion capture of carbon dioxide , 2010 .

[3]  Hiroyuki Oyama,et al.  Phase diagram, latent heat, and specific heat of TBAB semiclathrate hydrate crystals , 2005 .

[4]  S. Lindenbaum,et al.  Osmotic and Activity Coefficients for the Symmetrical Tetraalkyl Ammonium Halides in Aqueous Solution at 25°1 , 1964 .

[5]  Ali Eslamimanesh,et al.  Thermodynamic modeling of solubilities of various solid compounds in supercritical carbon dioxide: Effects of equations of state and mixing rules , 2011 .

[6]  Hiroyuki Oyama,et al.  Tetra-n-butylammonium bromide-water (1/38). , 2005, Acta crystallographica. Section C, Crystal structure communications.

[7]  B. V. Babu,et al.  Modified differential evolution (MDE) for optimization of non-linear chemical processes , 2006, Comput. Chem. Eng..

[8]  E. D. Sloan,et al.  Stable Low-Pressure Hydrogen Clusters Stored in a Binary Clathrate Hydrate , 2004, Science.

[9]  R. Ohmura,et al.  Development of a novel hydrate-based refrigeration system: A preliminary overview , 2006 .

[10]  Paul Feron,et al.  CO2 Capture Process Principles and Costs , 2005 .

[11]  R. S. Silver,et al.  Fresh Water from the Sea , 1964 .

[12]  A. Mohammadi,et al.  Thermodynamic modeling of pressure–temperature phase diagrams of binary clathrate hydrates of methane, carbon dioxide or nitrogen + tetrahydrofuran, 1,4-dioxane or acetone , 2012 .

[13]  I. R. Krichevsky,et al.  Thermodynamical Calculations of Solubilities of Nitrogen and Hydrogen in Water at High Pressures , 1935 .

[14]  Takeshi Sugahara,et al.  Thermodynamic stability and structure of nitrogen hydrate crystal , 2002 .

[15]  Didier Dalmazzone,et al.  Dissociation enthalpies and phase equilibrium for TBAB semi-clathrate hydrates of N2, CO2, N2 + CO2 and CH4 + CO2 , 2009 .

[16]  Ali Eslamimanesh,et al.  Phase Equilibria of Methane and Carbon Dioxide Clathrate Hydrates in the Presence of Aqueous Solutions of Tributylmethylphosphonium Methylsulfate Ionic Liquid , 2011 .

[17]  Amir H. Mohammadi,et al.  Use of an artificial neural network algorithm to predict hydrate dissociation conditions for hydrogen+water and hydrogen+tetra-n-butyl ammonium bromide+water systems , 2010 .

[18]  Shifeng Li,et al.  Efficient Capture of CO2 from Simulated Flue Gas by Formation of TBAB or TBAF Semiclathrate Hydrates , 2009 .

[19]  S. Hashimoto,et al.  Storage capacity of hydrogen in tetrahydrothiophene and furan clathrate hydrates , 2009 .

[20]  Ali Eslamimanesh,et al.  Gas Hydrate Formation in Carbon Dioxide + Nitrogen + Water System: Compositional Analysis of Equilibrium Phases , 2011 .

[21]  Zhi-Gao Sun,et al.  EQUILIBRIUM CONDITIONS OF SEMI-CLATHRATE HYDRATE DISSOCIATION FOR METHANE + TETRA-N-BUTYL AMMONIUM BROMIDE , 2010 .

[22]  Yufeng Hu,et al.  Separation of ionic liquids from dilute aqueous solutions using the method based on CO2 hydrates , 2010 .

[23]  R. Battino,et al.  Partial molar volumbes of gases at infinite dilution in water at 298.15 K , 1982 .

[24]  Jinqu Wang,et al.  Clathrate Hydrate Capture of CO2 from Simulated Flue Gas with Cyclopentane/Water Emulsion , 2010 .

[25]  X. Rui,et al.  Experimental investigation on TBAB clathrate hydrate slurry flows in a horizontal tube: Forced convective heat transfer behaviors , 2009 .

[26]  Amir H. Mohammadi,et al.  Thermodynamic Model for Predicting Liquid Water−Hydrate Equilibrium of the Water−Hydrocarbon System , 2008 .

[27]  Otakar Sohnel,et al.  Densities of aqueous solutions of inorganic substances , 1985 .

[28]  E. Hammerschmidt Formation of Gas Hydrates in Natural Gas Transmission Lines , 1934 .

[29]  J. V. D. Waals,et al.  Thermodynamic properties of gas hydrates II: Phase equilibria in the system H2S‐C3H3‐H2O AT −3°C , 2010 .

[30]  Ali Eslamimanesh,et al.  Thermodynamic model for predicting phase equilibria of simple clathrate hydrates of refrigerants , 2011 .

[31]  Amir H. Mohammadi,et al.  PHASE EQUILIBRIUM OF SEMICLATHRATE HYDRATES OF CO2, N2, CH4, OR H2 + TETRA-NBUTYLAMMONIUM BROMIDE AQUEOUS SOLUTION , 2011 .

[32]  Guangjin Chen,et al.  Experimental and modeling studies on the hydrate formation of CO2 and CO2-rich gas mixtures , 2000 .

[33]  T. Makino,et al.  Thermodynamic Stabilities of Tetra-n-butyl Ammonium Chloride + H2, N2, CH4, CO2, or C2H6 Semiclathrate Hydrate Systems , 2010 .

[34]  A. Mohammadi,et al.  Thermodynamic Consistency Test for Experimental Solubility Data in Carbon Dioxide/Methane + Water System Inside and Outside Gas Hydrate Formation Region , 2011 .

[35]  Michael Jefferson,et al.  Hydrocarbons and the evolution of human culture , 2003, Nature.

[36]  A. Mohammadi,et al.  Volumetric properties of the (tetrahydrofuran + water) and (tetra-n-butyl ammonium bromide + water) systems: Experimental measurements and correlations , 2009 .

[37]  J. M. Prausnitz,et al.  Liquid-Liquid and Vapor-Liquid Equilibria for Binary and Ternary Systems with Dibutyl Ketone, Dimethyl Sulfoxide, n-Hexane, and 1-Hexene , 1968 .

[38]  Amir H. Mohammadi,et al.  Application of gas hydrate formation in separation processes: A review of experimental studies , 2012 .

[39]  W. Powrie,et al.  Gas hydrates in aqueous-organic systems. II. Concentration by gas hydrate formation. , 1966, Cryobiology.

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

[41]  L. Fournaison,et al.  Phase equilibrium and dissociation enthalpy for semi-clathrate hydrate of CO2 + TBAB , 2008 .

[42]  Donald B. Robinson,et al.  Hydrate formation in systems containing methane, ethane, propane, carbon dioxide or hydrogen sulfide in the presence of methanol , 1985 .

[43]  A. Mohammadi,et al.  Phase Equilibria of Semi-Clathrate Hydrates of Tetra-n-butylammonium Bromide + Hydrogen Sulfide and Tetra-n-butylammonium Bromide + Methane , 2010 .

[44]  D. Peng,et al.  A New Two-Constant Equation of State , 1976 .

[45]  Meng-Hui Li,et al.  Vapour pressures and densities of the mixed-solvent desiccants (glycols + water + salts) , 2009 .

[46]  Peter Englezos,et al.  The clathrate hydrate process for post and pre-combustion capture of carbon dioxide. , 2007, Journal of hazardous materials.

[47]  N. H. Duc,et al.  CO2 capture by hydrate crystallization – A potential solution for gas emission of steelmaking industry , 2007 .

[48]  Ali Eslamimanesh,et al.  Applications of cubic equations of state for determination of the solubilities of industrial solid compounds in supercritical carbon dioxide: A comparative study , 2012 .

[49]  Carolyn A. Koh,et al.  Clathrate hydrates of natural gases , 1990 .

[50]  A. Mohammadi,et al.  An improved Clapeyron model for predicting liquid water-hydrate-liquid hydrate former phase equilibria , 2011 .

[51]  Ali Eslamimanesh,et al.  Thermodynamic Consistency Test for Experimental Data of Sulfur Content of Hydrogen Sulfide , 2011 .

[52]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[53]  E. D. Sloan,et al.  Tetra-n-butylammonium borohydride semiclathrate: a hybrid material for hydrogen storage. , 2009, The journal of physical chemistry. A.

[54]  Ross Anderson,et al.  Carbon monoxide clathrate hydrates: Equilibrium data and thermodynamic modeling , 2005 .

[55]  Seong-Pil Kang,et al.  Recovery of CO2 from Flue Gas Using Gas Hydrate: Thermodynamic Verification through Phase Equilibrium Measurements , 2000 .

[56]  P. Paricaud Modeling the dissociation conditions of salt hydrates and gas semiclathrate hydrates: application to lithium bromide, hydrogen iodide, and tetra-n-butylammonium bromide + carbon dioxide systems. , 2011, The journal of physical chemistry. B.

[57]  K. Ohgaki,et al.  Formation of CO2 Hydrate in Pure and Sea Waters , 1993 .

[58]  Paul M. Mathias,et al.  Extension of the Peng-Robinson equation of state to complex mixtures: Evaluation of the various forms of the local composition concept , 1983 .

[59]  W. Powrie,et al.  Gas hydrates in aqueous-organic systems. I. Preliminary studies. , 1965, Cryobiology.

[60]  G EliseoAmado,et al.  Isopiestic determination of the osmotic and activity coefficients of dilute aqueous solutions of symmetrical and unsymmetrical quaternary ammonium bromides with a new isopiestic cell at 298.15K , 2005 .

[61]  Amir H. Mohammadi,et al.  Phase equilibrium measurements for semi-clathrate hydrates of the (CO2 + N2 + tetra-n-butylammonium bromide) aqueous solution system , 2012 .

[62]  Ali Eslamimanesh,et al.  Estimation of solubility parameter by the modified ER equation of state , 2010 .

[63]  Ali Eslamimanesh,et al.  Compositional Analysis and Hydrate Dissociation Conditions Measurements for Carbon Dioxide + Methane + Water System , 2011 .

[64]  Stanley I. Sandler,et al.  A Fugacity Model for Gas Hydrate Phase Equilibria , 2000 .

[65]  Bahman Tohidi,et al.  Equilibrium Data of Hydrogen, Methane, Nitrogen, Carbon Dioxide, and Natural Gas in Semi-Clathrate Hydrates of Tetrabutyl Ammonium Bromide , 2007 .

[66]  E. D. Sloan,et al.  Properties of the clathrates of hydrogen and developments in their applicability for hydrogen storage , 2009 .

[67]  A. Mohammadi,et al.  Development of Predictive Techniques for Estimating Liquid Water-Hydrate Equilibrium of Water-Hydrocarbon System , 2009 .

[68]  J. M. Prausnitz,et al.  Dissociation Pressures of Gas Hydrates Formed by Gas Mixtures , 1972 .

[69]  W. Parrish,et al.  Experimental Thermodynamic Parameters for the Prediction of Natural Gas Hydrate Dissociation Conditions , 1980 .