Excess properties of the binary mixtures of methylcyclohexane + alkanes (C6 to C12) at T = 298.15 K to T = 308.15 K

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Abstract

Experimental values of density, viscosity, and refractive index at T = (298.15, 303.15, and 308.15) K while the speed of sound at T = 298.15 K in the binary mixtures of methylcyclohexane with n-hexane, n-heptane, n-octane, n-nonane, n-decane, n-dodecane, and iso-octane are presented over the entire mole fraction range of the binary mixtures. Using these data, excess molar volume, deviations in viscosity, molar refraction, speed of sound, and isentropic compressibility are calculated. All the computed quantities are fitted to Redlich and Kister equation to derive the coefficients and estimate the standard error values. Such a study on model calculations in addition to presentation of experimental data on binary mixtures are useful to understand the mixing behaviour of liquids in terms of molecular interactions and orientational order–disorder effects.

Introduction

Long-chain alkanes have been the subject of intense thermodynamic studies to understand the nature of molecular interactions when they are present with other types of liquids. Aminabhavi and co-workers [1], [2], [3], [4], [5], [6] have studied molecular interactions and thermodynamic properties of several binary mixtures of different types of liquids as first components with n-alkanes as the second component. Binary mixtures containing different alkanes with a variety of organic liquids, have been extensively studied by different authors [7], [8], [9], [10], [11], [12], [13], [14], with respect to different properties. Different excess properties of binary mixtures containing methylcyclohexane as one of the components with a variety of liquids have also been studied by a large number of researchers [15], [16], [17], [18], [19], [20], [21], [22]. However, exhaustive data are not available on the properties and interactions of methylcyclohexane with alkanes under study at different temperatures. Hence, an attempt is made here to investigate the detailed thermodynamic studies on these mixtures.

We have presented in this paper an accurate data on density, ρ, viscosity, η, and refractive index, nD at T = (298.15, 303.15, and 308.15) K as well as speed of sound, u at T = 298.15 K for the mixtures of methylcyclohexane with alkanes (n-hexane, n-heptane, n-octane, n-nonane, n-decane, n-dodecane, and iso-octane). Using these data, excess molar volume, VE, deviations in viscosity, Δη, molar refraction, ΔR, speed of sound, u, and isentropic compressibility, Δks have been calculated. The experimental results are analysed by the Redlich and Kister polynomial equation to derive the binary coefficients and estimate the standard errors. The calculated results are discussed in terms of intermolecular interactions between methylcyclohexane and alkanes.

Section snippets

Experimental

Analytical reagent grade samples of methylcyclohexane, n-hexane, n-heptane, n-octane and n-decane were procured from s.d.fine-Chem. Pvt. Ltd., Mumbai, India. n-dodecane is a L.R. grade sample purchased from Spectrochem Pvt. Ltd., Mumbai, India. iso-octane is also a L.R. grade sample procured from Qualigen Fine Chemicals, Mumbai, India.

Densities of pure components and their mixtures were determined at atmospheric pressure by using density meter DMA 4500 (Anton Paar). The DMA 4500 is the

Results and discussion

Excess molar volume, VE, deviations in viscosity, Δη, molar refraction, ΔR, at T = 298.15, 303.15 and 308.15 K, and speed of sound, Δu and isentropic compressibility, Δks at T = 298.15 K for the binary mixtures are calculated [3], [26], respectively, using the experimental values of density, ρ, viscosity, η, refractive index, nD, and speed of sound, u:VE=Vm-(V1x1+V2x2),ΔY=Ym-(Y1x1+Y2x2),where, Vm is molar volume of the mixture, V1 and V2 are molar volumes of pure components; xi, represents mole

Conclusion

The present paper is a continuing effort towards the understanding of the mixing behavior of binary liquid mixtures comprising of methylcyclohexane and alkanes (C6 to C12). The measured physico-chemical properties of these mixtures have been used to predict the excess functions.

Acknowledgements

The authors thank the Department of Science and Technology, DST, New Delhi for the research Grant No. SP/S1/H-09/2000.

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