TITLE:
Mathematical Model to Elaborate the Table of Thermodynamic Properties
AUTHORS:
Debrayan Bravo Hidalgo, Liliana Del Carmen Morillo Acosta, Nancy Del Rocio Flores Hinojosa
KEYWORDS:
Equations, Curves of Thermal Processes, Thermodynamic Laws, Physics-Mathematics, Energy
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.6,
June
28,
2022
ABSTRACT: Purpose: The aim of this scientific contribution is to show the potential that integral calculus has offered to the analysis of thermodynamic processes. Method: Application of Integral Calculus. In this context, the document covers the theoretical principles of integral calculus, such as Theoretical framework and background, Geometric interpretation of the primitive, Primitive existence theorem. Results: Integral calculus and generalized thermodynamic models, and their applications in various thermodynamic analysis contacts such as the Generalized Enthalpy Model, the Generalized Entropy Model, and the Generalized Model applied to gas mixtures and the General Model to elaborate the properties table. Conclusion: The mathematical analysis developed in this document is very useful in engineering and applied physics environments, a fact that supports its common pedagogical practice in university institutions.