Determination of the thermodynamic properties of water from the speed of sound
File(s)
Accepted version
Author(s)
Trusler, JPM
Lemmon, EW
Type
Journal Article
Abstract
Thermodynamic properties of compressed liquids may be obtained from measurements of the speed of sound by means of thermodynamic integration subject to initial values of density and isobaric specific heat capacity along a single low-pressure isobar. In this paper, we present an analysis of the errors in the derived properties arising from perturbations in both the speed-of-sound surface and the initial values. These errors are described in first order by a pair of partial differential equations that we integrate for the example case of water with various scenarios for the errors in the sound speed and the initial values. The analysis shows that errors in either the speed of sound or the initial values of density that are rapidly oscillating functions of temperature have a disproportionately large influence on the derived properties, especially at low temperatures. In view of this, we have obtained a more accurate empirical representation of the recent experimental speed-of-sound data for water [Lin and Trusler, J. Chem. Phys. 136, (2012) 094511] and use this in a new thermodynamic integration to obtain derived properties including density, isobaric heat capacity and isobaric thermal expansivity at temperatures between (253.15 and 473.15) K at pressures up to 400 MPa. The densities obtained in this way are in very close agreement with those reported by Lin and Trusler, but the isobaric specific heat capacity and the isobaric expansivity both differ significantly in the extremes of low temperatures and high pressures.
Date Issued
2016-10-21
Date Acceptance
2016-10-20
Citation
JOURNAL OF CHEMICAL THERMODYNAMICS, 2016, 109, pp.61-70
ISSN
0021-9614
Publisher
ELSEVIER
Start Page
61
End Page
70
Journal / Book Title
JOURNAL OF CHEMICAL THERMODYNAMICS
Volume
109
Copyright Statement
© 2016 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000399854400007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Thermodynamics
Chemistry, Physical
Chemistry
Equation of state
Speed of sound
Thermodynamic integration
Water
0306 Physical Chemistry (Incl. Structural)
0915 Interdisciplinary Engineering
Chemical Engineering
Publication Status
Published