Tait equation of state: Difference between revisions

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The '''Tait equation''' is an [[equations of state | equation of state]].  The equation was originally published by [[Peter Guthrie Tait]] in 1888<ref>[http://archive.org/stream/reportonscientif02grea#page/n21/mode/2up P. G. Tait "Report on some of the physical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and chemistry '''2''' pp. 1-76 (1888)]</ref><ref>[http://dx.doi.org/10.1029/JZ072i010p02665  Yuan-Hui Li "Equation of state of water and sea water", Journal of Geophysical Research '''72''' pp. 2665-2678 (1967)]</ref>. It may be written as
The '''Tait equation''' is an [[equations of state | equation of state]].  The equation was originally published by [[Peter Guthrie Tait]] in 1888<ref>[http://archive.org/stream/reportonscientif02grea#page/n21/mode/2up P. G. Tait "Report on some of the physical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and chemistry '''2''' pp. 1-76 (1888)]</ref><ref>[http://dx.doi.org/10.1029/JZ072i010p02665  Yuan-Hui Li "Equation of state of water and sea water", Journal of Geophysical Research '''72''' pp. 2665-2678 (1967)]</ref>. It may be written as


:<math> \beta := \frac{-1}{V} \left ( \frac{\partial V}{\partial P} \right )_T = \frac{1}{V} \frac{C}{B+P}</math>
:<math> \kappa_T := \frac{-1}{V} \left ( \frac{\partial V}{\partial p} \right )_T = \frac{1}{V} \frac{C}{B+P}</math>


or in the integrated form
or in the integrated form
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where
where
*<math> \beta</math> is the [[compressibility]].
*<math>\kappa_T</math> is the [[Compressibility# Isothermal compressibility |  Isothermal compressibility]]
*<math> V \ </math> is the [[specific volume]].
*<math> V \ </math> is the [[specific volume]].
*<math> B \ </math> and <math> C \ </math> are functions of [[temperature]] that are independent of [[pressure]].
*<math> B \ </math> and <math> C \ </math> are functions of [[temperature]] that are independent of [[pressure]].

Revision as of 13:35, 18 October 2012

The Tait equation is an equation of state. The equation was originally published by Peter Guthrie Tait in 1888[1][2]. It may be written as

or in the integrated form

where

References