Tait equation of state

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

$\underset{0}{\overset{(P)}{\beta }}=\frac{-1}{V_0^{(P)}}{(\frac{\partial V}{\partial P})}_T=\frac{0.4343C}{V_0^{(P)}(B+P)}$

or in the integrated form

$V_0^{(P)}=V_0^{(1)}-C\log \frac{B+P}{B+1}$

where

• $\underset{0}{\overset{(P)}{\beta }}$ is the compressibility of water.
• $V_0$ is the specific volume of water
• $B$ and $C$ are functions of temperature that are independent of pressure.