# Pseudoequivalent potential temperature

From Glossary of Meteorology

## pseudoequivalent potential temperature

The temperature a sample of air would have if it were expanded by a pseudoadiabatic process to zero pressure and then compressed to a reference pressure of 1000 hPa by a dry-adiabatic process.

This quantity is conserved in a pseudoadiabatic process and is given approximately by where

*T*is the temperature (K),*p*is the pressure (Pa),*p*_{0}is the reference pressure (100000 Pa),*T*_{c}is the condensation temperature (obtainable from the dewpoint formula) and*r*_{v}is the water vapor mixing ratio (kg kg^{-1}). When*r*_{v}= 0,*θ*_{ep}=*θ*, the potential temperature.Bolton, D. 1980. The computation of equivalent potential temperature. Mon. Wea. Rev.. 108. 1046–1053.