Adiabatic lapse rate of real gases Articles uri icon

authors

  • DIAZ JIMENEZ, BOGAR
  • García Ariza, Miguel Ángel
  • RAMÍREZ, J. E.

publication date

  • July 2022

start page

  • 014108-1

end page

  • 014108-7

issue

  • 1

volume

  • 106

International Standard Serial Number (ISSN)

  • 2470-0053

Electronic International Standard Serial Number (EISSN)

  • 2470-0045

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.

subjects

  • Mathematics

keywords

  • atmospheric science; equations of state; thermodynamics; planetary atmosphere; virial theorem