Application of the Concept of Linear Equation Systems in Balancing Chemical Reaction Equations

Abstract

This study discusses the equalization of chemical reactions using a system of linear equations with the Gaussian and Gauss-Jordan elimination. The results show that there is a contradiction in the existing methods for balancing chemical reactions. This study also aims to criticize several studies that say that the equalization of the reaction coefficient can use a system of linear equations. In this paper, the chemical equations were balanced by representing the chemical equation into systems of linear equations. Particularly, the Gauss and Gauss-Jordan elimination methods were used to solve the mathematical problem with this method, it was possible to handle any chemical reaction with given reactants and products.

Development and implementation of a Python functions for automated chemical reaction balancing

“…Motivated by this necessity, our research endeavours to present a novel approach to chemical reaction balancing, offering a solution that is both efficient and precise [7]. We introduce a dedicated Python module engineered to automate the balancing process while prioritizing versatility, ease of integration, and robust algorithmic foundations [8]- [10].…”

Automated Chemical Equation Balancing Using the Apriori Algorithm

“…For complicated reactions with several reactants and products, these methods may be timeconsuming. Manual balancing is also skill-dependent and may be inaccurate (Johar, 2020).…”

Balanceo de ecuaciones químicas usando propiedades de los vectores en el espacio tridimensional R3

“…Actualmente, con la ayuda de software matemáticos como el Matlab, hace que la resolución de estos sistemas algebraicos sea más sencillo e interesante (Regalado et al, 2014), usando matrices inversas (Thorne,2010; Guerrero, 2018; Glasser y Smith, 2019; Barret, 2019; Chacón y Apte, 2023) y el uso del método de Gauss Jordan y método de eliminación de Gauss (Padmaja et al, 2017;Hamid;Krishna et al, 2020;Johar, 2020) para el balanceo de ecuaciones químicas, así como el uso del lenguaje de programación R como herramienta tecnológica (Altintas,2022). Así mismo, se ha encontrado en la literatura mejora a los sistemas algebraicos existentes donde han presentado dificultades en el balanceo de ecuaciones químicas, el uso de software se ha destinado a reacciones complejas y utilizan el concepto de multiplicación de factores para garantizar la solución entera (Shaikn y Yousaf, 2023).…”