Tait equation of state

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

${\kappa }_T:=\frac{-1}{V}{(\frac{\partial V}{\partial p})}_T=\frac{1}{V}\frac{C}{B+P}$

or in the integrated form

$V=V_0-C\log \frac{B+P}{B+P_0}$

where

• ${\kappa }_T$ is the Isothermal compressibility
• $V$ is the specific volume.
• $B$ and $C$ are functions of temperature that are independent of pressure.