Abstract
This study mathematically models the solubility of hydrogen sulfide in ten ionic liquids including 1-(2-hydroxyethyl)-3-imidazolium [Hoemim]+ with three different anions, 1-ethyl-3-methylimidazolium [emim]+ with two different anions, 1-hexyl-3-methylimidazolium [hmim]+ with two different anions, and 1-butyl-3-methylimidazolium [bmim]+ with three different anions. The modeling was performed by van der Waals (vdW) equation of state as a φ-φ approach in which the modified van der Waals–Berthelot mixing rule is used. The critical properties of ionic liquids have been estimated by a group of supplementary methods suggested by Valderrama and Robles, known as the modified Lyderson–Joback–Reid method. It is concluded that since the absolute average relative deviation is less than 1%, the developed model has a high accuracy.
Similar content being viewed by others
REFERENCES
Kohl, A.L. and Nielsen, R.B., Gas Purification, Houston: Gulf, 1997, 5th ed.
Abkhiz, V. and Heyari, I., Comparison of amine solutions performance for gas sweetening, Asia-Pac. J. Chem. Eng., 2014, vol. 9, p. 656.
Dashti, S.S., Shariati, A., and Nikou, M.R.K., Sensitivity analysis for selection of an optimum amine gas sweetening process with minimum cost requirement, Asia-Pac. J. Chem. Eng., 2015, vol. 10, p. 709.
Yazdi, A., Najafloo, A., and Sakhaeinia, H., A method for thermodynamic modeling of H2S solubility using PC-SAFT equation of state based on a ternary solution of water, methyldiethanolamine and hydrogen sulfide, J. Mol. Liq., 2020, vol. 299, p. 112113.
Galán Sánchez, L.M., Meinderasma, G.W., and de Haan, A.B., Solvent properties of functionalized ionic liquids for CO2 absorption, Chem. Eng. Res. Des., 2007, vol. 85, p. 31.
Wilkes, J.S., Wassercheid, P., and Welton, T., Ionic Liquids in Synthesis, Weinheim: Wiley-VCH, 2002.
Sakhaeinia, H., Zare-Neyestanak, E., and Shokouhi, M., Evaluation of anion effect on the solubility of hydrogen sulfide in ionic liquids, using molecular dynamics simulation, Theor. Found. Chem. Eng., 2020, vol. 54, pp. 949–960.
Shokouhi, M., Sakhaeinia, H., Jalili, A.H., Zoghi, A.T., and Mehdizadeh, A., Experimental diffusion coefficients of CO2 and H2S in some ionic liquids using semi-infinite volume method, J. Chem. Thermodyn., 2019, vol. 133, pp. 300–311.
Keskin, S., Kayrak-Talay, D., Akman, U., and Hortaçsu, O., A review of ionic liquids towards supercritical fluid applications, J. Supercrit. Fluids, 2007, vol. 43, p. 150.
Pitzer, K.S., Thermodynamics of electrolytes. l. Theoretical basis and general equations, J. Phys. Chem., 1973, vol. 77, p. 268.
Krichevsky, I.R. and Ilinskaya, A.A., Partial molal volumes of gases dissolved in liquids (the thermodynamics of dilute solutions of non-electrolytes), Acta Physicochim. URSS, 1945, vol. 20, p. 327.
Saali, A., Shokouhi, M., Sakhaeinia, H., and Kazemi, N., Thermodynamic consistency test of vapor – liquid equilibrium data of binary systems including carbon dioxide (CO2) and ionic liquids using generic Redlich–Kwong equation of state, J. Solution Chem., 2020, vol. 49, pp. 383–404.
Yokozeki, A. and Shiflett, M.B., Gas solubilities in ionic liquids using a generic van der Waals equation of state, J. Supercrit. Fluids, 2010, vol. 55, p. 846.
Martin, Á., Méndez, D., and Bermejo, M.D., Application of a group contribution equation of state for the thermodynamic modeling of binary systems (gas+ionic liquids) with bis[(trifluoromethyl)sulfonyl]imide anion, J. Chem. Thermodyn., 2010, vol. 42, p. 524.
Rahmati-Rostami, M., Behzadi, B., and Ghotbi, C., Thermodynamic modeling of hydrogen sulfide solubility in ionic liquids using modified SAFT-VR and PC-SAFT equations of state, Fluid Phase Equilib., 2011, vol. 309, p. 179.
Shahriari, M., Dehghani, M.R., and Behzadi, B., A modified polar PHSC model for thermodynamic modeling of gas solubility in ionic liquids, Fluid Phase Equilib., 2012, vol. 313, p. 60.
Yim, J.H. and Lim, J.S., CO2 solubility measurement in 1-hexyl-3-methylimidazolium ([HMIM]) cation based ionic liquids, Fluid Phase Equilib., 2013, vol. 352, p. 67.
Bermejo, M.D., Fieback, T.M., and Martin, A., Solubility of gases in 1-alkyl-3-methylimidazolium alkyl sulfate ionic liquids: Experimental determination and modeling, J. Chem. Thermodyn., 2013, vol. 58, p. 237.
Sousa, J.M.M.V., Granjo, J.F.O., Queimada, A.J., Ferreira, A.G.M., Oliveria, N.M.C., and Fonseca, I.M.A., Solubility of hydrofluorocarbons in phosphonium-based ionic liquids: Experimental and modelling study, J. Chem. Thermodyn., 2014, vol. 79, p. 184.
Ramadin, M., Amplianitis, A., de Loos, T.W., and Vlugt, T.J.H., Solubility of CO2/CH4 gas mixtures in ionic liquids, Fluid Phase Equilib., 2014, vol. 375, p. 134.
Ji, X., Held, C., and Sadowaki, G., Modeling imidazolium-based ionic liquids with ePC-SAFT. Part II. Application to H2S and synthesis-gas components, Fluid Phase Equilib., 2014, vol. 363, p. 59.
NIST Scientific and Technical Database, Thermophysical properties of fluid systems. http://webbook.nist.gov/chemistry/fluid. Accessed December 22, 2015.
Valderrama, J.O., Robles, P.A., and Rojas, V., Critical properties of ionic liquids. Revisited, Ind. Eng. Chem. Res., 2009, vol. 48, p. 6890.
Valderrama, V. and Robles, P.A., Critical properties, normal boiling temperatures, and acentric factors of fifty ionic liquids, Ind. Eng. Chem. Res., 2007, vol. 46, p. 1338.
Yokozeki, A., Solubility of refrigerants in various lubricants, Int. J. Thermophys., 2001, vol. 22, p. 1057.
Yokozeki, A., Solubility correlation and phase behaviors of carbon dioxide and lubricant oil mixtures, Appl. Energy, 2007, vol. 84, p. 159.
Yokozeki, A. and Shiflett, M.B., Vapor–liquid equilibria of ammonia+ionic liquid mixtures, Appl. Energy, 2007, vol. 84, p. 1258.
Shiflett, M.B. and Yokozeki, A., Solubilities and diffusivities of carbon dioxide in ionic liquids: [bmim][PF6] and [bmim][BF4], Ind. Eng. Chem. Res., 2005, vol. 44, p. 4453.
Shiflett, M.B. and Yokozeki, A., Separation of CO2 and H2S using room-temperature ionic liquid [bmim][PF6], Fluid Phase Equilib., 2010, vol. 294 p. 105.
Shokouhi, M., Farahani, H., and Hosseini-Jenab, M., Experimental solubility of hydrogen sulfide and carbon dioxide in dimethylformamide and dimethylsulfoxide, Fluid Phase Equilib., 2014, vol. 367, p. 29.
Shokouhi, M., Farahani, H., Hosseini-Jenab, H., and Jalili, A.H., Solubility of hydrogen sulfide in N-methylacetamide and N,N-dimethylacetamide: experimental measurement and modeling, J. Chem. Eng. Data., 2015, vol. 60, p. 499.
Shokouhi, M., Rezaeirad, A.R., Zekordi, S.M., Abbasghorbani, M., and Vahidi, M., Solubility of hydrogen sulfide in ethanediol, 1,2-propanediol, 1-propanol, and 2-propanol: Experimental measurement and modeling, J. Chem. Eng. Data., 2016, vol. 61, p. 512.
Van Ness, H.C. and Abbott, M.M., Classical Thermodynamics of Nonelectrolyte Solutions, New York: McGraw-Hill, 1982.
Sakhaeinia, H., Jalili, A.H., Taghikhani, V., and Safekordi, A.A., Solubility of H2S in ionic liquids 1-ethyl-3-methylimidazolium hexafluorophosphate ([emim][PF6]) and 1-ethyl-3-methylimidazolium bis(trifluoromethyl)sulfonylimide ([emim][Tf2N]), J. Chem. Eng. Data, 2010, vol. 55, p. 5839.
Sakhaeinia, H., Taghikhani, V., Jalili, A.H., Mehdizadeh, A., and Safekordi, A.A., Solubility of H2S in 1-(2-hydroxyethyl)-3-methylimidazolium ionic liquids with different anions, Fluid Phase Equilib., 2010, vol. 298, p. 303.
Rahmati-Rostami, M., Ghotbi, C., Hosseini-Jenab, M., Ahmadi, A.N., and Jalili, A.H., Solubility of H2S in ionic liquids [hmim][PF6], [hmim][BF4], and [hmim][Tf2N], J. Chem. Thermodyn., 2009, vol. 41, p. 1052.
Jalili, A.H., Rahamti-Rostami, M., Ghotbi, C., Hosseini-Jenab, M., and Ahmadi, A.N., Solubility of H2S in ionic liquids [bmim][PF6], [bmim][BF4], and [bmim][Tf2N], J. Chem. Eng. Data, 2009, vol. 54, p. 1844.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sakhaeinia, H. Modeling the Solubility of Hydrogen Sulfide in Ionic Liquids Using van der Waals Equation of State. Theor Found Chem Eng 54, 1276–1289 (2020). https://doi.org/10.1134/S0040579520060111
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0040579520060111