Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Deriving the Arrhenius Equation and the Pre-Exponential Factor

Version 1 : Received: 9 April 2023 / Approved: 11 April 2023 / Online: 11 April 2023 (08:51:32 CEST)

How to cite: Dou, R. Deriving the Arrhenius Equation and the Pre-Exponential Factor. Preprints 2023, 2023040215. https://doi.org/10.20944/preprints202304.0215.v1 Dou, R. Deriving the Arrhenius Equation and the Pre-Exponential Factor. Preprints 2023, 2023040215. https://doi.org/10.20944/preprints202304.0215.v1

Abstract

Proposed in 1889 by Svante Arrhenius, the Arrhenius equation is an important result in physical chemistry which aims to find the relationship between temperature and reaction rates. It is also an essential equation for analytic chemistry which helps to determine the energy barrier for a given reaction. In this article, we will go through a detailed derivation of the exponential factor in the Arrhenius Equation based on the Boltzmann distribution of particle energy probability. Then, we will attempt to model the pre-exponential factor in accordance with the principles of collision theory for bi-molecular reaction with gaseous reactants. Understanding the basic principles of chemical reaction provides valuable tools to analyze complex reaction mechanisms in the perspective of optimizing existing industrial processes.

Keywords

Arrhenius Equation; Boltzmann distribution; Pre-exponential factor; Collision theory

Subject

Chemistry and Materials Science, Physical Chemistry

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