Molar Excess Volumes and Excess Isentropic Compressibilities of Ternary Mixtures Containing 2-Pyrrolidinone
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.
[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.
[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.
@article{"International Journal of Chemical, Materials and Biomolecular Sciences:58891", author = "Jaibir S. Yadav and Dimple and Vinod K. Sharma", title = "Molar Excess Volumes and Excess Isentropic Compressibilities of Ternary Mixtures Containing 2-Pyrrolidinone", abstract = "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, 3ξ, Excess isentropic compressibilities,( ES κ )ijk, Interaction energy parameter, χ, Molar excess volumes, VEijk, Speeds of sound, uijk.", volume = "3", number = "7", pages = "364-7", }
