# Tait equation of state

The **Tait equation** is an equation of state. The equation was originally published by Peter Guthrie Tait in 1888 ^{[1]}^{[2]}^{[3]}. It may be written as

or in the integrated form

where

- is the Isothermal compressibility
- is the specific volume.
- and 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
^{[4]} calling this equation a "modified Tait equation" (p. 39).

## References

- ↑ P. G. Tait "Report on some of the physical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and chemistry
**2**pp. 1-76 (1888) - ↑ Yuan-Hui Li "Equation of state of water and sea water", Journal of Geophysical Research
**72**pp. 2665-2678 (1967) - ↑ Richard Courant "Supersonic flow and shock waves a manual on the mathematical theory of non-linear wave motion", Courant Institute of Mathematical Sciences, New York University, New York (1944)
- ↑ Robert H Cole "Underwater explosions", Princeton University Press, Princeton (1948)