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.

It is quite common that this name is improperly used for the adiabatic form of the stiffened equation of state , which is the Cole equation of state . This perhaps stems for the classic text by Cole calling this equation a "modified Tait equation" (p. 39).