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Mathematics of the 2nd Law of Thermodynamics – Thermodynamics 2.0
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Mathematics of the 2nd Law of Thermodynamics

Thermodynamics 2.0 Program: Sessions and Abstracts

Mon - Wed, June 22 - June 24 , 2020 , Massachusetts, USA

Session T10: Classical Thermodynamics: Thermodynamics 1.0

15:15-16:15. Tuesday June 23, 2020

Chair: Erald Kolasi

Title: Mathematics of the 2nd Law of Thermodynamics

Presenter:

Shafiqul Islam Md.

(Bangladesh University of Engineering and Technology, Dhaka, Bangladesh )

Bio-sketch

Author(s):

Shafiqul Islam Md.

(Bangladesh University of Engineering and Technology, Dhaka, Bangladesh )

Abstract:T10.W161

Abstract

In this paper, I have shown the 2^nd law of thermodynamics as a consequence of the 1^st law of thermodynamics. It is not claimed that the 2^nd law of thermodynamics is a redundant of the1st law, rather I shown here how we can extract the 2^nd law from the mathematical formulation of the 1^st law of thermodynamics. The Clausius statement of the 2nd law of thermodynamics is, it is impossible to construct a device whose sole effect is the transfer of heat from a cool reservoir to a hot reservoir. An alternative statement of the law is, “All spontaneous processes are irreversible” or, “the entropy of an isolated system always increases”. Having strong experimental evidences, this empirical law is obvious, which tells us the arrow of time and the direction of spontaneous changes. I proved the statement in this paper using the mathematical formulation of the 1^st law of thermodynamics.

Keywords: thermodynamics, first law, second law, mathematical formulation

Abstract PDF