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A Simple Method for Estimation of Dielectric Constants and Polarizabilities of Nonpolar and Slightly Polar Hydrocarbons

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Abstract

Many of the liquids that are used as electrical insulators are nonpolar or slightly polar petroleum-derived hydrocarbons, such as the ones used for cable and/or transformer oils. In this work, semi-empirical expressions with no adjustable parameters for the dielectric constant and the polarizability of nonpolar and slightly polar hydrocarbons and their mixtures are proposed and validated. The expressions that were derived using the Vargas–Chapman One-Third rule require the mass density and the molecular weight of the substance of interest. The equations were successfully tested for various hydrocarbons and polymers with dipole moments <0.23 and densities from 500 to 1200 kg\(\cdot \) \(\hbox {m}^{-3}\). The predictions are in good agreement with the experimental data in a wide range of temperatures and pressures. The proposed expressions eliminate the need of extensive experimental data and require less input parameters compared to existing correlations.

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Abbreviations

n :

Refractive index

\(R_\mathrm{{m}}\) :

Molar refractivity (\(\hbox {cm}^{3} \cdot \hbox {mol}^{-1}\))

\(\rho \) :

Density (\(\hbox {g} \cdot \hbox {cm}^{-3}\))

\(\rho ^{0}\) :

Density of molecules per unit mass (\(\hbox {g}\cdot \text{ cm }^{-3}\))

\(\alpha \) :

Polarizability (\(\hbox {cm}^{3}\))

\(N_\mathrm{{a}}\) :

Avogadro number (\(6.022 \times 10^{23}\,\hbox {mol}^{-1}\))

V :

Molar volume (\(\hbox {cm}^{3} \cdot \hbox {mol}^{-1}\))

Mw :

Molecular weight (\(\hbox {g}\cdot \hbox {mol}^{-1}\))

k :

Dielectric constant

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Acknowledgments

This work was undertaken with the generous financial support from the Research and Development Oil Subcommittee of the Abu Dhabi National Oil Company (ADNOC).

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Authors and Affiliations

  1. Department of Chemical and Biomolecular Engineering, Rice University, Houston, TX, 77005, USA

    Sai R. Panuganti, Fei Wang, Walter G. Chapman & Francisco M. Vargas

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  1. Sai R. Panuganti
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  2. Fei Wang
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  4. Francisco M. Vargas
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Correspondence to Francisco M. Vargas.

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Panuganti, S.R., Wang, F., Chapman, W.G. et al. A Simple Method for Estimation of Dielectric Constants and Polarizabilities of Nonpolar and Slightly Polar Hydrocarbons. Int J Thermophys 37, 75 (2016). https://doi.org/10.1007/s10765-016-2075-8

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