Tait equation of state

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The Tait equation is an equation of state. The equation was originally published by Peter Guthrie Tait in 1888. (Yuan-Hui Li, 15 May 1967, Equation of State of Water and Sea Water, Journal of Geophysical Research 72 (10), p. 2665.) It is sometimes written as

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \beta _{0}^{(P)}={\frac {-1}{V_{0}^{(P)}}}\left({\frac {\partial V}{\partial P}}\right)_{T}={\frac {0.4343C}{V_{0}^{(P)}(B+P)}}}

or in the integrated form

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V_0^{(P)} = V_0^{(1)} - C \log \frac{B+P}{B+1}}

where

  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \beta_0^{(P)} } is the compressibility of water.
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V_0 \ } is the specific volume of water
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B \ } and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C \ } are functions of temperature that are independent of pressure.

References