• Open Access

Adiabatic lapse rate of real gases

Bogar Díaz, Miguel Ángel García-Ariza, and J. E. Ramírez
Phys. Rev. E 106, 014108 – Published 11 July 2022

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.

  • Figure
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  • Received 24 March 2022
  • Accepted 10 June 2022

DOI:https://doi.org/10.1103/PhysRevE.106.014108

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Bogar Díaz1,2,*, Miguel Ángel García-Ariza3,†, and J. E. Ramírez4,5,‡

  • 1Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain
  • 2Grupo de Teorías de Campos y Física Estadística, Instituto Gregorio Millán (UC3M), Unidad Asociada al Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain
  • 3Arkansas State University Campus Querétaro, Carretera Estatal 100, km 17.5, 76270 Colon, Querétaro, Mexico
  • 4Centro de Agroecología, Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000 Puebla, Mexico
  • 5Consejo de Ciencia y Tecnología del Estado de Puebla, Privada B Poniente de la 16 de Septiembre 4511, 72534 Puebla, Mexico

  • *bodiazj@math.uc3m.es
  • mgarciaariza@astate.edu
  • jhony.ramirezcancino@viep.com.mx

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Vol. 106, Iss. 1 — July 2022

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