Abstract
In the present investigations, the excess molar volumes, \( V_{ijk}^{\text{E}} \), excess isentropic compressibilities, \( \left( {\kappa_{S}^{\text{E}} } \right)_{ijk} \), and excess heat capacities, \( \left( {C_{p}^{\text{E}} } \right)_{ijk} \), for ternary 1-butyl-2,3-dimethylimidazolium tetrafluoroborate (i) + 1-butyl-3-methylimidazolium tetrafluoroborate (j) + 1-ethyl-3-methylimidazolium tetrafluoroborate (k) mixture at (293.15, 298.15, 303.15 and 308.15) K and excess molar enthalpies, \( \left( {H^{\text{E}} } \right)_{ijk} \), of the same mixture at 298.15 K have been determined over entire composition range of x i and x j . Satisfactorily corrections for the excess properties \( V_{ijk}^{\text{E}} \), \( \left( {\kappa_{S}^{\text{E}} } \right)_{ijk} \), \( \left( {H^{\text{E}} } \right)_{ijk} \) and \( \left( {C_{p}^{\text{E}} } \right)_{ijk} \) have been obtained by fitting with the Redlich–Kister equation, and ternary adjustable parameters along with standard errors have also been estimated. The \( V_{ijk}^{\text{E}} \), \( \left( {\kappa_{S}^{\text{E}} } \right)_{ijk} \), \( \left( {H^{\text{E}} } \right)_{ijk} \) and \( \left( {C_{p}^{\text{E}} } \right)_{ijk} \) data have been further analyzed in terms of Graph Theory that deals with the topology of the molecules. It has also been observed that Graph Theory describes well \( V_{ijk}^{\text{E}} \), \( \left( {\kappa_{S}^{\text{E}} } \right)_{ijk} \), \( \left( {H^{\text{E}} } \right)_{ijk} \) and \( \left( {C_{p}^{\text{E}} } \right)_{ijk} \) values of the ternary mixture comprised of ionic liquids.
Similar content being viewed by others
References
Anastas, P.T., Warner, J.C.: Green Chemistry: Theory and Practice. Oxford University Press, New York (1998)
Gadilohar, B.L., Shankarling, G.S.: Choline based ionic liquids and their applications in organic transformation. J. Mol. Liq. 227, 234–261 (2017)
Khan, S.N., Hailegiorgis, S.M., Man, Z., Shariff, A.M., Garg, S.: Thermophysical properties of concentrated aqueous solution of N-methyldiethanolamine (MDEA), piperazine (PZ), and ionic liquids hybrid solvent for CO2 capture. J. Mol. Liq. 229, 221–229 (2017)
Farag, H.K., El-Kiey, S.R., Zein El Abedinb, S.: Influence of atmospheric water uptake on the hydrolysis of stannous chloride in the ionic liquid 1-butyl-1-methylpyrrolidinium trifluoromethylsulfonate. J. Mol. Liq. 230, 209–213 (2017)
Armand, M., Endres, F., MacFarlane, D.R., Ohno, H., Scrosati, B.: Ionic-liquid materials for the electrochemical challenges of the future. Nat. Mater. 9, 621–629 (2009)
Endres, F., Zein El Abedin, S.: Air and water stable ionic liquids in physical chemistry. Phys. Chem. Chem. Phys. 8, 2101–2116 (2006)
Abbott, A.P., McKenzie, K.J.: Application of ionic liquids to the electrodeposition of metals. Phys. Chem. Chem. Phys. 8, 4265–4279 (2006)
Moosavi, M., Khashei, F., Sharifi, A., Mirzaei, M.: The effects of temperature and alkyl chain length on the density and surface tension of the imidazolium-based geminal dicationic ionic liquids. J. Chem. Thermodyn. 107, 1–7 (2017)
Domanska, U., Lukoshko, E.V.: Thermodynamics and activity coefficients at infinite dilution for organic solutes and water in the ionic liquid 1-butyl-1-methylmorpholinium tricyanomethanide. J. Chem. Thermodyn. 68, 53–59 (2014)
Zhang, K., Cui, X., Feng, T., Zhang, Y., Liu, H.: Solubilities of diethyl phthalate, dicyclopentadiene, and styrene in ionic liquid 1-ethyl-3-methylimidazolium acetate. J. Chem. Eng. Data 62, 857–863 (2017)
Deyab, M.A., Zaky, M.T., Nessim, M.I.: Inhibition of acid corrosion of carbon steel using four imidazolium tetrafluoroborates ionic liquids. J. Mol. Liq. 229, 396–404 (2017)
Machanová, K., Troncoso, J., Jacquemin, J., Bendová, M.: Excess molar volumes and excess molar enthalpies in binary systems N-alkyl-triethylammonium bis(trifluoromethylsulfonyl)imide + methanol. Fluid Phase Equilib. 363, 156–166 (2014)
Rao, V.S., Krishna, T.V., Mohan, T.M., Rao, P.M.: Excess molar volumes and excess molar enthalpies in binary systems N-alkyl-triethylammonium bis(trifluoromethylsulfonyl)imide + methanol. J. Chem. Thermodyn. 104, 150–161 (2017)
Pal, A., Saini, M., Kumar, B.: Volumetric, ultrasonic and spectroscopic (FT-IR) studies for the binary mixtures of imidazolium based ILs with 1,2-propanediol. Fluid Phase Equilib. 411, 66–73 (2016)
Singh, T., Kumar, A.: Aggregation behavior of ionic liquids in aqueous solutions: Effect of alkyl chain length, cations, and anions. J. Phys. Chem. B 111, 7843–7851 (2007)
Sohrabi, B., Eivazzadeh, S., Sharifi, A., Azadbakht, R.: Self-assembled catanionic surfactant mixtures in aqueous/ionic liquid systems. J. Mol. Liq. 211, 754–760 (2015)
Curras, M.R., Gomes, M.F.C., Husson, P., Padua, A.A.H., Garcia, J.: Calorimetric and volumetric study on binary mixtures 2,2,2-trifluoroethanol + (1-butyl-3-methylimidazolium tetrafluoroborate or 1-ethyl-3-methylimidazolium tetrafluoroborate). J. Chem. Eng. Data 55, 5504–5512 (2010)
Jacquemin, J., Husson, P.: Comments and additional work on “High-Pressure Volumetric Properties of Imidazolium-Based Ionic Liquids: Effect of the Anion”. J. Chem. Eng. Data 57, 2409–2414 (2012)
Blanco, A., Gayol, A., Gómez-Díaz, D., Navaza, J.M.: Density, speed of sound, refractive index and derivatives properties of the binary mixture n-hexane + n-heptane (or n-octane or n-nonane), T = 288.15–313.15 K. Phys. Chem. Liq. 51, 404–413 (2013)
Gayol, A., Touriño, A., Iglesias, M.: Temperature dependence of the derived properties of mixtures containing chlorobenzene and aliphatic linear alkanes (C6–C12). Phys. Chem. Liq. 48, 661–681 (2010)
Goenaga, J.M., Gayol, A., Concha, R.G., Iglesias, M., Resa, J.M.: Effect of temperature on thermophysical properties of ethanol + aliphatic alcohols (C4–C5) mixtures. Monatsh. Chem. 138, 403–436 (2007)
Zafarani-Moattar, M.T., Shekaari, H., Agha, E.M.H.: Effect of temperature on thermophysical properties of ethanol + aliphatic alcohols (C4–C5) mixtures. Fluid Phase Equilib. 436, 38–46 (2017)
Xu, Y., Tang, X., Li, J., Zhu, X.: Viscosity estimation of ternary mixtures containing ionic liquid from their binary subsystems: a comparison of three viscosity equations. Fluid Phase Equilib. 427, 166–174 (2016)
Ramalingam, A., Balaji, A.: Liquid–liquid equilibrium (LLE) data for ternary mixtures of [EMIM][EtSO4] + thiophenebenzothiophene + n-hexadecane}and [EMIM][MeSO3] + thiophene/benzothiophene + n-hexadecane at 298.15 K. J. Mol. Liq. 212, 372–381 (2015)
Corderí, S., Gómez, E., Domínguez, Á., Calvar, N.: (Liquid + liquid) equilibrium of ternary and quaternary systems containing heptane, cyclohexane, toluene and the ionic liquid [EMim][N(CN)2]. Experimental data and correlation. J. Chem. Thermodyn. 94, 16–23 (2016)
Gupta, H., Kataria, J., Sharma, D., Sharma, V.K.: Topological investigations of molecular interactions in binary ionic liquid mixtures with a common ion: excess molar volumes, excess isentropic compressibilities, excess molar enthalpies and excess molar heat capacities. J. Chem. Thermodyn. 103, 189–205 (2016)
Scholz, E.: Karl Fischer Titration. Springer, Berlin (1984)
Saini, N., Yadav, J.S., Jangra, S.K., Sharma, D., Sharma, V.K.: Thermodynamic studies of molecular interactions in mixtures of o-toulidine with pyridine and picolines: excess molar volumes, excess molar enthalpies, and excess isentropic compressibilities. J. Chem. Thermodyn. 43, 782–795 (2011)
Dubey, G.P., Sharma, M.: Temperature and composition dependence of the densities, viscosities, and speeds of sound of binary liquid mixtures of 1-butanol with hexadecane and squalane. J. Chem. Eng. Data 53, 1032–1038 (2008)
Pal, A., Kumara, B., Kang, T.S.: Effect of structural alteration of ionic liquid on their bulk and molecular level interactions with ethylene glycol. Fluid Phase Equilib. 358, 241–249 (2013)
Malham, I.B., Turmine, M.: Viscosities and refractive indices of binary mixtures of 1-butyl-3-methylimidazolium tetrafluoroborate and 1-butyl-2,3-dimethylimidazolium tetrafluoroborate with water at 298 K. J. Chem. Thermodyn. 40, 718–723 (2008)
Ciocirlan, O., Iulian, O.: Properties of pure 1-butyl-2,3-dimethylimidazolium tetrafluoroborate ionic liquid and its binary mixtures with dimethyl sulfoxide and acetonitrile. J. Chem. Eng. Data 57, 3142–3148 (2012)
Huo, Y., Xia, S., Ma, P.: Densities of ionic liquids, 1-butyl-3-methylimidazolium hexafluorophosphate and 1-butyl-3-methylimidazolium tetrafluoroborate, with benzene, acetonitrile, and 1-propanol at T = (293.15 to 343.15) K. J. Chem. Eng. Data 52, 2077–2082 (2007)
Taib, M.M., Murugesan, T.: Density, refractive index, and excess properties of 1-butyl-3-methylimidazolium tetrafluoroborate with water and monoethanolamine. J. Chem. Eng. Data 57, 120–126 (2012)
Pal, A., Kumar, B.: Volumetric and acoustic properties of binary mixtures of the ionic liquid 1-butyl-3-methylimidazolium tetrafluoroborate [bmim][BF4] with alkoxyalkanols at different temperatures. J. Chem. Eng. Data 57, 688–695 (2012)
Klomfar, J., Souckova, M., Patek, J.: Buoyancy density measurements for 1-alkyl-3-methylimidazolium based ionic liquids with tetrafluoroborate anion. Fluid Phase Equilib. 282, 31–37 (2009)
Sunkara, G.R., Tadavarthi, M.M., Tadekoru, V.K., Tadikonda, S.K., Bezawada, S.R.: Density, refractive index, and speed of sound of the binary mixture of 1-butyl-3-methylimidazolium tetrafluoroborate + N-vinyl-2-pyrrolidinone from T = (298.15 to 323.15) K at atmospheric pressure. J. Chem. Eng. Data 60, 886–894 (2015)
Seki, S., Tsuzuki, S., Hayamizu, K., Umebayashi, Y., Serizawa, N., Takei, K., Miyashiro, H.: Comprehensive refractive index property for room-temperature ionic liquids. J. Chem. Eng. Data 57, 2211–2216 (2012)
Stoppa, A., Zech, O., Kunz, W., Buchner, R.: The conductivity of imidazolium-based ionic liquids from (−35 to 195) CA Variation of cation’s alkyl chain. J. Chem. Eng. Data 55, 1768–1773 (2010)
Reddy, M.S., Nayeem, S.M., Raju, K.T.S.S., Babu, B.H.: The study of solute–solvent interactions in 1-ethyl-3-methylimidazolium tetrafluoroborate + 2-ethoxyethanol from density, speed of sound, and refractive index measurements. J. Therm. Anal. Calorim. 124, 959–971 (2016)
Vercher, E., Llopis, F.J., Gonzalez-Alfaro, V., Miguel, P.J., Orchilles, V., Martinez-Andreu, A.: Volumetric properties, viscosities and refractive indices of binary liquid mixtures of tetrafluoroborate-based ionic liquids with methanol at several temperatures. J. Chem. Thermodyn. 90, 174–184 (2015)
Sharma, V.K., Rohilla, A.: Excess heat capacities of 1-methyl pyrrolidin-2-one and pyridine or picolines mixtures. Thermochim. Acta 568, 140–147 (2013)
Sharma, V.K., Solanki, S., Bhagour, S., Sharma, D.: Excess molar enthalpies of ternary mixtures containing 1-ethyl-3-methylimidazolium tetrafluoroborate and organic solvents. Thermochim. Acta 569, 36–41 (2013)
Sabbah, R., Xu-Wu, A., Chickos, J.S., Leitao, M.L.P., Roux, M.V., Torres, L.A.: Reference materials for calorimetry and differential thermal analysis. Thermochim. Acta 331, 93–204 (1999)
Sanmamed, Y.A., Navia, P., Gonzalez-Salgado, D., Troncoso, J., Romani, L.: Pressure and temperature dependence of isobaric heat capacity for [Emim][BF4], [Bmim][BF4], [Hmim][BF4], and [Omim][BF4]. J. Chem. Eng. Data 55, 600–604 (2010)
Rebelo, L.P.N., Najdanovic-Visak, V., Visak, Z.P., Nunes da Ponte, M., Szydlowski, J., Cerdeirina, C.A., Troncoso, J., Romani, L., Esperança, J.M.S.S., Guedesc, H.J.R., de Sousa, H.C.: A detailed thermodynamic analysis of [C4mim][BF4] + water as a case study to model ionic liquid aqueous solutions. Green Chem. 6, 369–381 (2004)
Paulechka, Y.U., Blokhin, A.V., Kabo, G.J.: Evaluation of thermodynamic properties for non-crystallizable ionic liquids. Thermochim. Acta 604, 122–128 (2015)
Waliszewski, D., Stepniak, I., Piekarski, H., Lewandowski, A.: Heat capacities of ionic liquids and their heats of solution in molecular liquids. Thermochim. Acta 433, 149–152 (2005)
Yu, Y.H., Soriano, A.N., Li, M.H.: Heat capacities and electrical conductivities of 1-ethyl-3-methylimidazolium-based ionic liquids. J. Chem. Thermodyn. 41, 103–108 (2009)
Benson, G.C., Kiyohara, O.: Evaluation of excess isentropic compressibilities and isochoric heat capacities. J. Chem. Thermodyn. 11, 1061–1064 (1979)
Brocos, P., Amigo, A., Points, M., Calvo, E., Bravo, R.: Application of the Prigogine–Flory–Patterson model to excess volumes of mixtures of tetrahydrofuran or tetrahydropyran with cyclohexane or toluene. Thermochim. Acta 286, 297–306 (1996)
Singh, T., Kumar, A., Kaur, M., Kaur, G., Kumar, H.: Non-ideal behavior of imidazolium based room temperature ionic liquids in ethylene glycol at T = (298.15 to 318.15) K. J. Chem. Thermodyn. 41, 717–723 (2009)
Iulian, O., Ciocirlan, O.: Volumetric properties of binary mixtures of two 1-alkyl-3-methylimidazolium tetrafluoroborate ionic liquids with molecular solvents. J. Chem. Eng. Data 57, 2640–2646 (2012)
Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948)
Huggins, M.L.: The thermodynamic properties of liquids, including solutions. Part 2. Polymer solutions considered as diatomic systems. Polymer 12, 389–399 (1971)
Singh, P.P., Bhatia, M.: Energetics of molecular interactions in binary mixtures of non-electrolytes containing a salt. J. Chem. Soc. Faraday Trans. I 85(11), 3807–3812 (1989)
Singh, P.P., Nigam, R.K., Singh, K.C., Sharma, V.K.: Topological aspects of the thermodynamics of binary mixtures of non-electrolytes. Thermochim. Acta 46, 175–190 (1981)
Singh, P.P.: Topological aspects of the effect of temperature and pressure on the thermodynamics of binary mixtures of non-electrolytes. Thermochim. Acta 66, 37–73 (1983)
Acknowledgements
The authors are thankful to Mr. K. Chandrasekhar Reddy, SSBN College, Anantapur, for providing the Gaussian-09 facility and C-DAC, PUNE, India for providing the computational work. V. K. Sharma is grateful to the University Grant Commission (UGC), New Delhi for the award of SAP.
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Gupta, H., Malik, S. & Sharma, V.K. Thermodynamic Properties of Ternary Ionic Liquid Mixture Containing a Common Ion: Excess Molar Volumes, Excess Isentropic Compressibilities, Excess Molar Enthalpies and Excess Heat Capacities. J Solution Chem 47, 336–352 (2018). https://doi.org/10.1007/s10953-018-0719-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10953-018-0719-y