Abstract
Densities, ρ 123, and speeds of sound, u 123, of 1-methyl pyrrolidin-2-one (1) + benzene or methyl benzene or cyclohexane (2) + propan-2-ol (3) ternary mixtures have been measured over the entire composition range at 308.15 K and atmospheric pressure. The resulting ρ 123 and \(V_{123}^{\mathrm{E}}\) data were utilized to predict excess isentropic compressibilities, \((\kappa_{S}^{\mathrm{E}})_{123}\), of the studied (1+2+3) mixtures. The observed \(V_{123}^{\mathrm{E}}\) and \((\kappa_{S}^{\mathrm{E}})_{123}\) data have been analyzed in terms of Graph theory (which involved the topology of a molecule). It has been observed that \(V_{123}^{\mathrm{E}}\) and \((\kappa_{S}^{\mathrm{E}})_{123}\) values determined by Graph theory compare well with their corresponding experimental values.
Similar content being viewed by others
References
Brocos, P., Calvo, E., Bravo, R., Pintos, M., Amigo, A.: Heat capacities, excess enthalpies, and volumes of mixtures containing cyclic ethers. 3. Binary systems {tetrahydrofuran, tetrahydropyran, 1,4-dioxane, or 1,3-dioxolane + cyclohexane or toluene}. J. Chem. Eng. Data 44, 67–72 (1999)
Siwach, R.K., Sharma, D., Sharma, V.K.: Thermodynamic properties of binary mixtures containing tetrahydropyran: Excess molar volumes, excess molar enthalpies and isentropic compressibilities changes of mixing. Thermochim. Acta 506, 1–7 (2010)
Amigo, A., Bravo, R., Pintos, M.: Excess volumes of binary mixtures containing cyclic ethers + alkanols at 298.15 K. J. Chem. Eng. Data 38, 141–142 (1993)
Klyohara, O., Perron, G., Desnoyers, J.E.: Volumes and heat capacities of cyclic ethers and amines in water and of some electrolytes in these mixed aqueous solvents. Can. J. Chem. 53, 2591–2597 (1975)
Chhikara, Y., Sharma, D., Yadav, J.S., Sharma, V.K.: Topological investigations of thermodynamic properties of 1-methyl pyrrolidin-2-one with water and alkanols: excess molar volumes, excess molar enthalpies and excess isentropic compressibilities. Thermochim. Acta (2010) accepted
Yadav, J.S., Sharma, D., Sharma, V.K.: Topological investigations of the molecular species and molecular interactions that characterize pyrrolidin-2-one + lower alkanol mixtures. Thermochim. Acta 493, 19–24 (2009)
Ganakumari, P., Venkatesu, P., Mohan, K. Rama, Rao, M.V.P., Prasad, D.H.L.: Excess volumes and excess enthalpies of N-methyl-2-pyrrolidone with branched alcohols. Fluid Phase Equilib. 252, 137–142 (2007)
Riddick, J.A., Bunger, W.B., Sakano, T.K.: Organic Solvents, Physical Properties and Methods of Purification, 4th edn. Wiley, New York (1986)
Papamatthaiakis, D., Aroni, F., Havredak, V.: Isentropic compressibilities of (amide + water) mixtures: a comparative study. J. Chem. Thermodyn. 40, 107–118 (2008)
Singh, P.P., Sharma, S.P.: Molar excess volumes of ternary mixtures of non-electrolytes at 308.15 K. J. Chem. Eng. Data 30, 477–479 (1985)
Tamura, K., Murakami, S., Doi, S.: Speeds of sound, densities, and isentropic compressibilities of {x-C6H12+(1−x)C6H5CH3}, {x-C6H11CH3+(1−x)C6H6}, and {x-C6H11CH3+(1−x)C6H5CH3}, from 293.15 to 303.15 K. J. Chem. Thermodyn. 17, 325–333 (1985)
Sehgal, C.M., Porter, B.R., Greenleaf, J.F.: Ultrasonic non-linear parameters and sound speed of alcohol-water mixture. J. Acoust. Soc. Am. 79, 566–570 (1986)
Junqquera, E., Tardajos, G., Aicart, E.: Speeds of sound and isentropic compressibilities of (cyclohexane + benzene and (1-chlorobutane + n-hexane or n-heptane or n-octane or n-decane) at 298.15 K). J. Chem. Thermodyn. 20, 1461–1467 (1988)
Rao, T.S., Veeraiah, N., Rambabu, C.: Excess volumes, viscosities and compressibilities of binary mixtures consisting of propan-1-ol, butan-1-ol and pentan-1-ol with 1,2-dibromoethane at different temperatures. Indian J. Chem. Technol. 41A, 2268–2273 (2002)
Benson, G.C., Kiyohara, O.: Evaluation of excess isentropic compressibilities and isochoric heat capacities. J. Chem. Thermodyn. 11, 1061–1064 (1979)
Weast, R.C.: CRC Handbook of Chemistry and Physics, 68th edn. CRC Press, Boca Raton (1987)
Hildebrand, J.H., Prusnitz, J.M., Scott, R.L.: Regular and Related Solutions: The Solubility of Gases, Liquids, and Solids. Van-Nostrand Reinhold, New York (1971)
Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948)
Chhikara, Y., Yadav, J.S., Sharma, D., Sharma, V.K.: Thermodynamic and topological investigations of molecular interactions in binary and ternary mixtures containing 1-methyl pyrrolidin-2-one at 308.15 K. J. Chem. Thermodyn. (2010, in press). doi:10.1016/j.jct.2010.12.016
Arimoto, A., Ogawa, H., Murakami, S.: Temperature dependence of molar excess volumes and excess thermal expansion coefficients for binary mixtures of cyclohexane with some hydrocarbons between 298.15 and 313.15 K. Thermochim. Acta 163, 191–202 (1990)
Gupta, V.: Thermodynamics of binary mixtures of associated alkanols with aromatic hydrocarbons, Ph.D. Thesis, Maharishi Dayanand University, Rohtak, India (1996)
Sharma, D., Yadav, J.S., Singh, K.C., Sharma, V.K.: Molar excess volumes and excess isentropic compressibilities of {2-methylaniline (i) + benzene (j) + methylbenzene (k)}, {2-methylaniline(i) + benzene (j) + 1,2-dimethylbenzene (k) + 2-methylaniline(i) + benzene (j) + 1,4-dimethylbenzene (k)} at T=308.15 K. J. Chem. Eng. Data 54, 2109–2112 (2009)
Huggins, M.L.: The thermodynamic properties of liquids, including solutions. Part 1. Intermolecular energetics in monoatomic liquids and their mixtures. J. Phys. Chem. 74, 371–378 (1970)
Huggins, M.L.: The thermodynamic properties of liquids, including solutions. Part 2. Polymer solution 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, 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)
Kier, L.B., Yalkowasky, S.H., Sinkula, A.A., Valvani, S.C.: Physico-Chemical Properties of Drugs. Marcel Dekker, New York (1980)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chhikara, Y., Yadav, J.S., Sharma, D. et al. Thermodynamic Study of Ternary Mixtures Containing 1-Methyl Pyrrolidin-2-one, Propan-2-ol and Benzene or Methyl Benzene or Cyclohexane. J Solution Chem 40, 1769–1783 (2011). https://doi.org/10.1007/s10953-011-9751-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10953-011-9751-x