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Molar Excess Volumes and Excess Isentropic Compressibilities of Ternary Mixtures Containing 2-Pyrrolidinone

Authors: Jaibir S. Yadav, Dimple, Vinod K. Sharma


Molar excess Volumes, VE ijk and speeds of sound , uijk of 2-pyrrolidinone (i) + benzene or toluene (j) + ethanol (k) ternary mixture have been measured as a function of composition at 308.15 K. The observed speeds of sound data have been utilized to determine excess isentropic compressiblities, ( E S κ )ijk of ternary (i + j + k) mixtures. Molar excess volumes, VE ijk and excess isentropic compressibilities, ( E S κ )ijk data have fitted to the Redlich-Kister equation to calculate ternary adjustable parameters and standard deviations. The Moelywn-Huggins concept (Huggins in Polymer 12: 389-399, 1971) of connectivity between the surfaces of the constituents of binary mixtures has been extended to ternary mixtures (using the concept of a connectivity parameter of third degree of molecules, 3ξ , which inturn depends on its topology) to obtain an expression that describes well the measured VE ijk and ( E S κ )ijk data.

Keywords: Connectivity parameter of third degree, , Excess isentropic compressibilities, ( ES κ )ijk, Interaction energy parameter, χ, Molar excess volumes, VEijk, Speeds of sound, uijk.

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[1] A. Graovac, I. Gutman and N. Trinajsttic, "Topological approach to the chemistry of conjugated molecules". New York: Springer-Verlag, Berlin, 1977.
[2] D.H. Rouvary, "Graph theory in Chemistry," R. Inst. Chem. Rev., vol. 4, pp. 173-195, 1971.
[3] C. A. Coulson , "Notes on the secular determinant in molecular orbital theory". Proc Cambridge Phil. Soc., Vol. 46, pp. 202-206, 1950.
[4] J.E. Dubois and A. Panaye, "Base-catalysed polyalkylation of aliphatic ketones. 1. Graph and topological description of reaction pathways," Tetrahedron Lett., vol. 10, pp. 1501-1504, 1969.
[5] M. Randic, "Characterization of molecular branching," J. Am. Chem. Soc., vol. 97, pp. 6609-6615, 1975.
[6] A.T. Balaban, Chemical applications of Graph theory. Academic Press, London, 1976.
[7] H. Hosoya, "Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons," Bull. Chem. Soc. Jpn, vol. 44, pp. 2332-2339, 1971.
[8] P.P. Singh, V.K. Sharma and S. P. Sharma, "Topological studies of the molecular species that characterize lower alkanol + methylene bromide mixtures : molar excess volumes and molar excess enthalpies," Thermochim. Acta, vol. 106, pp. 293-307, 1986.
[9] P. P. Singh, R. K. Nigam, V. K. Sharma, S.P. Sharma and K.C. Singh, "Topological aspect of the excess enthalpies of binary mixtures of nonelectrolytes," Thermochim. Acta, vol. 52, pp. 87-102, 1982.
[10] P.P. Singh and V.K. Sharma, "Thermodynamics of ternary mixtures of non-electrolytes: excess volumes," Canad. J. Chem., vol. 61, pp. 2321- 2328, 1983.
[11] V.K. Sharma, Rajni and Romi, "Topological investigations in binary mixtures containing ether: molar excess volumes and molar excess enthalpies," Indian J. Chem., vol. 40A, pp. 1277-1281, 1968.
[12] V.K. Sharma and S. Kumar, "Topological investigations of molecular interactions in mixtures containing 1,4- dioxane and alkanols," Thermochim. Acta, vol. 428, pp. 83-90, 2005.
[13] Dimple, J.S. Yadav, K.C. Singh and V.K. Sharma, "Molecular interactions in binary mixtures containing 2-methylaniline," Thermochim. Acta, vol. 468, pp. 108-115, 2008.
[14] V.K. Sharma and S. Kumar, "Excess isentropic compressibilities for 1,3- dioxolane or 1,4-dioxolane + water + formamide or N,Ndimethylformamide ternary mixtures at 308.15 K," J. Solution Chem., vol. 34, pp. 713-730, 2005.
[15] K.C. Kalra, V.K. Sharma and A. Katoch, "Molar excess enthalpies of ternary mixtures containing nitrobenzene," Indian J. Chem., vol. 37A, pp. 393-398, 1998.
[16] Dimple, J. S. Yadav, K. C. Singh and V. K. Sharma, "Molar excess volumes and excess isentropic compressibilities of ternary mixtures of o- Toluidine," J. Chem. Eng. Data, vol. 53, pp. 1935-1939, 2008.
[17] J.A. Walmsley, E.J. Jacob and H.B. Thompson, "An investigation of the slef-association of 2-pyrrolidinone in cyclohexane and carbon tetrachloride by means of spectroscopic and electric polarization measurements," J. Phys. Chem., vol. 80, pp. 2745-2753, 1976.
[18] J.A. Walmsley, "Self-Association of 2-pyrrolidinone. 2. Spectral and dielectric polarization studies of benzene solutions," J. Phys. Chem., vol. 82, pp. 2031-2035, 1978.
[19] J. Jadzyn, J. Malecki and C. Jadzyn, "Dielectric polarization of 2- pyrrolidinone-benzene solutions," J. Phys. Chem., vol. 82, pp. 21282130, 1978.
[20] J.S. Yadav, Dimple and V.K. Sharma, "Topological investigations of thermodynamic properties of binary mixtures containing 2- pyrrolidinone, Thermochim. Acta, vol. 489, pp.45-52, 2008.
[21] J. A. Riddick, W. B. Bunger and T. K. Sakano, Organic Solvents Physical properties and Methods of Purification. 4th Ed., Wiley, New York, 1986.
[22] P.P. Singh and S.P. Sharma, "Molar excess volumes of ternary mixtures of non-electrolytes at 308.15 K," J. Chem. Eng. Data, vol. 30, pp. 477- 479, 1985.
[23] P.L. Pirlia-Honkanen and P.A. Ruostesuo, "Thermodynamic and spectroscopic properties of 2-pyrrolidinones. 1. Excess molar volumes of 2-pyrrolidinone + dichloromethane, + dimethylsulfoxide, + acetone, + 2- propanol," J. Chem. Eng. Data, vol. 32, pp. 303-306, 1987.
[24] J. George and N.V. Sastry, "Densities, viscosities, speeds of sound, and relative permittivities for water + cyclic amides (2-pyrrolidinone, 1methyl-2-pyrrolidinone, and 1-vinyl-2-propyl) at different temperature," J. Chem. Eng. Data, vol. 49, pp. 235-242, 2004.
[25] K. Tamura, S. Murakami and S. Doi, "Speeds of sound, densities, and isentropic compressibilities of {x-C6H12 + (1-x) C6H5CH3, { x-C6H11 CH3 + (1-x) C6H6}, and{x -C6H11 CH3 + (1-x) C6H5CH3} from 293.15 K to 303.15K," J. Chem. Thermodyn., vol. 17, pp. 325-333, 1985.
[26] C.M. Sehgal, B.R. Porter and J.F. Greenleaf, "Ultrasonic non-linear parameters and sound speed of Alchol-Water mixture," J. Accoust Soc. Am., vol. 79, pp. 566-570, 1986.
[27] M. Dzida, A. Zak and S. Ernst, "Thermodynamic and acoustic properties of binary mixtures of alcohols and alkanes. 1. Speed of sound in (ethanol + n-heptane) under elevated pressures," J. Chem. Thermodyn., vol. 37, pp. 405-414, 2005.
[28] G.C. Benson and O. Kiyohara, "Evaluation of excess isentropic compressibilities and isochoric heat capacities," J. Chem. Thermodyn., vol. 11, pp. 1061-1064, 1979.
[29] R.C. Weast Ed., CRC Handbook of Chemistry and Physics, 68th ed., CRC Hand Press, Boca Raton: FL, 1987.
[30] J.H. Hilderbrand, J.M. Prusnitz, R.L. Scott, Regular and related solutions, Van-nonstand Reinheld compound, New York, 1971.
[31] J.S. Yadav, Dimple, V.K. Sharma, "Topological investigations of the molecular species and molecular interactions that characterize pyrrolidin-2-one + lower alkanol mixtures," Thermochim. Acta, Available online April 2009 DOI:10.1016/j.tca.2009.03.014.
[32] J.S. Yadav, "Excess thermodynamic functions and molecular interactions in multicomponent liquid mixtures," Ph.D. Thesis, Dept. Chem., Maharshi Dayanand Univ., Rohtak, India, 2009.
[33] M. L. Huggins, "The thermodynamic properties of liquids, including solutions I. Intermolecular energies in monoatomic liquids and their mixtures," J. Phys. Chem., vol. 74, pp. 371-378, 1970.
[34] M. L. Huggins, "The thermodynamic properties of liquids, including solutions Part 2. Polymer solutions considered as diatomic systems," Polymer, vol. 12, 387-399, 1971.
[35] P. P. Singh and M. Bhatia, Energetics of molecular interactions in binary mixtures of non-electrolytes ontaining a salt," J. Chem. Soc., Faraday Trans. I, vol. 85, 3807-3812, 1989.
[36] P.P. Singh, R.K. Nigam, K.C. Singh and V.K. Sharma, "Topological aspects of the thermodynamics of binary mixtures of non-electrolytes," Thermochim. Acta, vol. 46, pp. 175-191, 1981.