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Dielectric Constant of Water Discovered to be Simple Function of Density over Extreme Ranges from – 35 to + 600^oC and to 1200 MPa (12000 Atm.), Believed Universal

William L. Marshall¹

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1. Oak Ridge National Laboratory, U.S.A. (guest scientist)

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Document Type:

Manuscript

Date:

Received 04 November 2008 22:21 UTC; Posted 06 November 2008

Subjects:

Chemistry, Earth & Environment

Tags:

• dielectric constant
• high temperature
• extreme conditions
• high pressure
• fluids
• water
• density
• liquids

Abstract:

The experimental static dielectric constants (ε) of water formulated by Fernández, et al., (1997-International Association for the Properties of Water and Steam, IAPWS), –35 to 600^oC; 0.1 to 1200 MPa, are discovered to be closely described throughout by a simple equation of density (ρ), presented here, and agreeing with their reported calculated (extrapolated) values to 923^oC. Eight limiting boundary conditions are observed. Values of ε follow isothermal straight-line slopes of log (ε – 1) vs log ρ down to densities of 0.25 g cm^-3 water, even in dioxane-water solutions. At lower densities, all slopes curve asymptotically in approaching unity, while becoming unity throughout at –35^oC (near metastable freezing point). Slopes above 0.25 g cm^-3 asymptotically approach 1 2/3 at high temperatures that numerically proportionates (ε – 1) to volume times surface densities, with a proposed explanation given. Values for ε of water dissolved in dioxane down to 0.006 g cm^-3 water (25-300^oC) and in benzene to 0.014 g cm^-3 water (300-400^oC) extend uninterrupted from those for pure water. The Deul-Franck (1984, 1991) values of ε for benzene (25-400^oC; to 400 MPa) by the relationship fall on a single straight-line independent of temperature. Theorists should evaluate this simple relationship of water and other liquids to density that appears to be universal.

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William L. Marshall on 21 November 2008 01:39 UTC

In Acknowledgments, I regret inadvertently misspelling the name of my colleague, Ariel A. Chialvo.

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This document is licensed to the public under the Creative Commons Attribution 3.0 License

How to cite this document:

Marshall, William L. . Dielectric Constant of Water Discovered to be Simple Function of Density over Extreme Ranges from – 35 to + 600^oC and to 1200 MPa (12000 Atm.), Believed Universal . Available from Nature Precedings <http://dx.doi.org/10.1038/npre.2008.2472.1> (2008)

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