Topological aspects of the thermodynamics of binary mixtures of non-electrolytes

Singh, P.; Nigam, R. K.; Singh, K.C.; Sharma, V.K.

doi:10.1016/0040-6031(81)80242-0

Cited by 122 publications

(18 citation statements)

References 30 publications

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“…A or MA (2) mixtures formation therefore may involve processes (i) formation of unlike (1 n -2 n ) contacts; (ii) unlike contact leads to associated entities (a) 1 n and (b) 2 n to yield (1) and (2); and (iii) (1) and (2) molecules then undergo interactions to form 1:1 molecular complex. If v 12 , v 11 , v 22, and v 0 12 are interaction parameters for unlike contacts, rupture of associated entities 1 n , 2 n , and interactions among the constituents of mixtures, excess molar enthalpies, H E , due to processes (i)-(iii) were expressed [31][32][33][34][35][36] by …”

Section: Resultsmentioning

confidence: 99%

Excess molar enthalpies of binary and ternary liquid mixtures

Sharma

Solanki

Bhagour

2014

J Therm Anal Calorim

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Excess molar enthalpies, H E 123 of ternary 1-ethyl-3-methylimidazolium tetrafluoroborate (1) ? 2-methyl aniline (2) ? aniline or N-methyl aniline (3); 1-ethyl-3-methylimidazolium tetrafluoroborate (1) ? water (2) ? formamide or N,N-dimethyl formamide (3) and H E of 2-methyl aniline (1) ? aniline or N-methyl aniline (2); 1-ethyl-3-methylimidazolium tetrafluoroborate (1) ? formamide (2) mixtures, have been measured at 298.15 K. The excess molar enthalpies, H E 123 , are negative for 1-ethyl-3-methylimidazolium tetrafluoroborate (1) ? 2-methyl aniline (2) ? aniline or N-methyl aniline (3) mixtures and are positive for 1-ethyl-3-methylimidazolium tetrafluoroborate (1) ? water (2) ? formamide (3) mixture over entire composition of (1) and (2) components. However, the magnitude and sign of H E 123 value for 1-ethyl-3-methylimidazolium tetrafluoroborate (1) ? water (2) ? N,Ndimethyl formamide (3) mixture vary by the relative composition of the constituent molecules. The H E 123 and H E data have also been tested in terms of Graph and Prigogine-Flory-Patterson theories.

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Section: Resultsmentioning

confidence: 99%

Excess molar enthalpies of binary and ternary liquid mixtures

Sharma

Solanki

Bhagour

2014

J Therm Anal Calorim

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“…Singh et al [5] have postulated that the ( 3 ξ) −1 value of a molecule represents a measure of probability that the surface area of a molecule interacts effectively with the surface area of another molecule and is related to its molar volume by the relation, 3 …”

Section: Graph Theory and Resultsmentioning

confidence: 99%

“…The physicochemical properties of a solution depend upon the manner in which its constituents are associated with each other. A characterization of binary [5][6][7][8] or ternary [9][10][11] mixtures through topological investigations has provided an important tool to understand (i) the nature of the state of components of the mixtures in pure and mixed states and (ii) the nature and extent of interactions along with molecular entities in the mixtures. Topological and thermodynamic studies have also been employed [12][13][14] successfully to predict excess molar volumes, excess molar enthalpies, excess free energies of mixing, and excess isentropic compressibilities of various binary and ternary mixtures.…”

Section: Introductionmentioning

confidence: 99%

Topological Investigations of Excess Molar Volumes and Excess Isentropic Compressibilities of Ternary Mixtures Containing Pyrrolidin-2-one at 308.15 K

et al. 2010

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Excess molar volumes, V E i jk , and speeds of sound, u i jk , of pyrrolidin-2-one (2-Py) (i) + benzene or methyl benzene ( j) + propan-1-ol (k) ternary mixtures and speeds of sound, u i j , of benzene or methyl benzene (i) + propan-1-ol ( j) binary mixtures have been measured dilatometrically and interferrometrically over the complete mole fraction range at 308.15 K. Speed-of-sound data have been utilized to evaluate excess isentropic compressibilities for binary and ternary mixtures. V E i jk and κ E S i jk values have been fitted to a Redlich-Kister equation to predict ternary adjustable parameters and standard deviations. Topological investigations employed for predicting excess molar volumes and excess isentropic compressibilities, κ E S i j , of 2-Py + benzene or methyl benzene or propan-1-ol binary mixtures have been extended to ternary mixtures (by employing the concept of a connectivity parameter of third degree, 3 ξ, of a molecule) to obtain an expression that describes well the measured V E i jk and κ E S i jk values.Keywords Connectivity parameter of third degree 3 ξ · Excess isentropic compressibility κ E S i jk · Excess molar volume V E i jk · Interaction energy parameter (χ ) · Speed of sound u i jk

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“…Since v j /v i = 3 ξ i / 3 ξ j [27] where 3 ξ i (i = i or j or k) are the connectivity parameters of the third degree of a molecule and are defined [28] by…”

Section: Discussionmentioning

confidence: 99%

Sound Speeds and Excess Isentropic Compressibilities of Ternary Mixtures of Tetrahydropyran and Aromatic Hydrocarbons at 308.15 K

2011

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Speeds of sound, u i jk , of tetrahydropyran (THP) (i) + benzene ( j) + toluene or o-or p-xylene (k), and tetrahydropyran (i) + toluene ( j) + o-or p-xylene (k) ternary mixtures have been measured over the entire mole fraction range at 308.15 K and atmospheric pressure. The speed-of-sound data have been used to calculate isentropic compressibilities, (κ S ) i jk , and excess isentropic compressibilities,jk values for the investigated mixtures are correlated with the RedlichKister equation to estimate ternary adjustable parameters and standard deviations. The Moelwyn-Huggins concept (Huggins, Polymer 12:357, 1971) of interaction between the surfaces of components of binary mixtures has been extended to predict excess isentropic compressibilities of ternary mixtures by employing the concept of connectivity parameters of the third degree of a molecule (which in turn depends on its topology). It has been observed that (κ S ) i jk values predicted by the MoelwynHuggins concept compare well with corresponding experimental values.

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Topological aspects of the thermodynamics of binary mixtures of non-electrolytes

Cited by 122 publications

References 30 publications

Excess molar enthalpies of binary and ternary liquid mixtures

Excess molar enthalpies of binary and ternary liquid mixtures

Topological Investigations of Excess Molar Volumes and Excess Isentropic Compressibilities of Ternary Mixtures Containing Pyrrolidin-2-one at 308.15 K

Sound Speeds and Excess Isentropic Compressibilities of Ternary Mixtures of Tetrahydropyran and Aromatic Hydrocarbons at 308.15 K

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