IJPAM: Volume 117, No. 1 (2017)

Title

USE OF THE MOLECULAR-KINETIC CONCEPTS AT
INTRODUCING THE EQUATION OF THE FIRST LAW
OF THERMODYNAMICS

Authors

Vladimir V. Ryndin
Department of Mechanics
S. Toraigyrov State University of Pavlodar
140007, 64 Lomov Str., Pavlodar, REPUBLIC OF KAZAKHSTAN

Abstract

The methods of energy transfer and transformation in macroscopic systems are of importance in various areas of science and technology, such as power and heat engineering, chemistry, aerospace technologies, mechanical and biomedical engineering, etc. That is why the present work is topical. Its main target is application of the molecular-kinetic concepts at introducing the equation of the first law of thermodynamics. When presenting this law in textbooks, some troubles appear in differentiating between energy (energy change) and heat or work as well as between heat and work. Therefore the present paper contains a critical analysis of the methods of introducing miscellaneous equations of energy for a closed system and flux, as well as the concepts of heat, work and energy in the scientific literature. By using mathematical manipulations of the Newton's second law written for each single microparticle, a transition is made to the law of energy change (known as the first law of thermodynamics) of all microparticles of a system. Based on the molecular-kinetic concepts, rigorous definitions of such physical quantities as heat and work are formulated.

History

Received: 2017-08-04
Revised: 2017-10-30
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 74A15, 80A10
Key Words and Phrases: the first law of thermodynamics, the Newton's second law, energy, heat, momentum, momentum flux

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How to Cite?

DOI: 10.12732/ijpam.v117i1.11 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 117
Issue: 1
Pages: 107 - 123


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