Mathematical Modeling of Reaction Kinetics: A Cross-Disciplinary Approach to Chemical Dynamics

Kirti Kumar Jain ¹ , Preeti Sharma ² , Deepti Khare ³

^1,2,3 Asst. Professor, Applied Science Department, SIRT College, Bhopal, India.

Abstract

This research explores the intersection of mathematics and chemistry through the mathematical modeling of chemical reaction kinetics. By employing differential equations and numerical methods, we analyze the rates of chemical reactions and predict the concentration of reactants and products over time. The study focuses on both first-order and second-order reactions, extending to complex reaction mechanisms including reversible and consecutive reactions. Real-world chemical systems, such as enzyme kinetics and industrial catalytic process are used to validate the models. This interdisciplinary approach not only deepens the understanding of chemical behaviour but also showcases the power of mathematical tools in solving problems in the physical sciences. The paper aims to provide a framework for students and researchers to bridge the gap between theoretical mathematics and experimental chemistry.

Keywords: Mathematical modeling; Reaction kinetics; Differential equations; Enzyme kinetics; Computational chemistry; Reaction mechanisms; Kinetic modeling; Quantitative chemistry.

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