Exact Calculation of the Internal Energy of the Ideal Gas in Statistical Mechanics
Physical Science International Journal · pp. 1–5 · Published 28 Apr 2017
10.9734/PSIJ/2017/32822Abstract
Previously, in the calculation of the internal energy of the ideal gas in statistical mechanics, it has been supposed that the volume is a constant, which does not depend on any arguments. However, the volume depends on pressure and temperature and its partial derivative is not equal to zero. In this paper, the dependence of the volume on pressure and temperature is taken into account, and the internal energy is calculated exactly. It differs from the traditional internal energy by the product of the pressure and volume. This explains three paradoxes in thermodynamics. It follows that the isochoric heat capacity equals the isobaric one. It is shown that the derivation of the Mayer’s relation which connects the isochoric and isobaric heat capacities, is wrong.
Cited by 5
Scholar/Institute of Science and Innovative Technologies, Liepaja University, Liepaja, Latvia, LV-3401., Igor Stepanov · Indian Journal of Advanced Mathematics · 2021
J. P. Muhirwa, S. I. Mbalawata, V. G. Masanja · Engineering, Technology & Applied Science Research · 2021
Igor Stepanov · 2022
Igor Stepanov* · Indian Journal of Advanced Mathematics · 2021
Facultad de Ciencias Físicas, Universidad Nacional Mayor de San Marcos, Calle Germán Amézaga 375, Cercado, Lima, Perú., Felipe Américo Reyes Navarro, Rafael Edgardo Carlos Reyes · Indian Journal of Advanced Mathematics · 2024
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