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Updated: Sep 1, 2025

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Adiabatic lapse rate of real gases
Bogar Díaz1,2, Miguel Ángel García-Ariza3, J E Ramírez4,5
1Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain.
Abstract:
We derive a formula for the dry adiabatic lapse rate of atmospheres composed of real gases. We restrict our study to those described by a family of two-parameter cubic equations of state and the recent Guevara-Rodríguez noncubic equation. Since our formula depends on the adiabatic curves, we compute them all at once, considering molecules that can move, rotate, and vibrate, for any equation of state. To illustrate our results, we estimate the lapse rate of the troposphere of Titan, obtaining a better approximation to the observed data in some instances, when compared to the estimation provided by the virial expansion up to the third order.
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