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

$\beta _{0}^{(P)}={\frac {-1}{V_{0}^{(P)}}}\left({\frac {\partial V}{\partial P}}\right)_{T}={\frac {0.4343C}{V_{0}^{(P)}(B+P)}}$

or in the integrated form

$V_{0}^{(P)}=V_{0}^{(1)}-C\log {\frac {B+P}{B+1}}$

where

• $\beta _{0}^{(P)}$ 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.