Abstract

Abstract Measurements of densities, ρ, ρ123 and speeds of sound, u, u123 of binary 1,3-dioxolane (1) + 1,4-dioxane (2) and ternary 1,3-dioxolane (1) + N-methylpyrrolidi-2-one or 1,4-dioxane (2) + cyclohexanone or cycloheptanone (3) mixtures have been carried out over the entire range of mole fraction at 293.15, 298.15, 303.15, 308.15 K and atmospheric pressure. The excess molar volumes, V 12 E , V 123 E and excess isentropic compressiblities, ( κ S E ) 12 , ( κ S E ) 123 have been determined from experimental data. The V 123 E and ( κ S E ) 123 data for 1,3-dioxolane (1) + N-methylpyrrolidin-2-one (2) + cyclohexanone or cycloheptanone (3) and 1,3-dioxolane (1) + 1,4-dioxane (2) + cycloheptanone (3) mixture are negative over entire composition of (1) and (2). While V 123 E for 1,3-dioxolane (1) + 1,4-dioxane (2) + cyclohexanone (3) are positive across full range of compositions of (1) and (2); the sign and magnitude of ( κ S E ) 123 values vary with change in composition of the constituent molecules. The V 12 E , V 123 E and ( κ S E ) 12 , ( κ S E ) 123 data have been fitted to Redlich-Kister equation to determine binary, ternary adjustable parameters and standard deviations. The V 123 E and ( κ S E ) 123 data have been analyzed in terms of Graph Theory. It has been observed that Graph theory correctly predicts the sign as well as magnitude of V 123 E and ( κ S E ) 123 data of the studied ternary mixtures.

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