https://doi.org/10.1140/epjp/i2019-12826-4
Regular Article
Effects of the second virial coefficient on the adiabatic lapse rate of dry atmospheres
1
Departamento de Actuaria, Física y Matemáticas, Universidad de las Américas Puebla, Santa Catarina Martir, 72820, Puebla, Mexico
2
Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006, Madrid, Spain
3
Departamento de Matemáticas, Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Ciudad Universitaria, 72570, Puebla, Puebla, Mexico
4
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000, Puebla, Puebla, Mexico
5
Departamento de Física de Partículas, Universidad de Santiago de Compostela, E-15782, Santiago de Compostela, Spain
* e-mail: jerc.fis@gmail.com
Received:
28
March
2019
Accepted:
17
June
2019
Published online:
23
September
2019
We study the effect of the second virial coefficient on the adiabatic lapse rate of a dry atmosphere. To this end, we compute the corresponding adiabatic curves, the internal energy, and the heat capacity, among other thermodynamic parameters. We apply these results to Earth, Mars, Venus, Titan, and the exoplanet G1 851d, considering three physically relevant virial coefficients in each case: the hard-sphere, van der Waals, and the square-well potential. These examples illustrate under which atmospheric conditions the effect of the second virial coefficient is relevant. Taking the latter into account yields corrections towards the experimental values of the lapse rates of Venus and Titan in some instances.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
