Abstract
In this paper, a formal and systematic method for balancing chemical reaction equations was presented. The results satisfy the law of conservation of matter, and confirm that there is no contradiction to the existing way(s) of balancing chemical equations. A chemical reaction which possesses atoms with fractional oxidation numbers that have unique coefficients was studied. In this paper, the chemical equations were balanced by representing the chemical equation into systems of linear equations. Particularly, the Gauss elimination method was used to solve the mathematical problem with this method, it was possible to handle any chemical reaction with given reactants and products.
Highlights
Balancing of the chemical equation is one of the initial subjects taught in most preliminary chemistry courses
The results satisfy the law of conservation of matter, and confirm that there is no contradiction to the existing way(s) of balancing chemical equations
Every chemical reaction can be represented by the systems of linear equations
Summary
Balancing of the chemical equation is one of the initial subjects taught in most preliminary chemistry courses. Balancing chemical reactions is an amazing subject of matter for mathematics and chemistry students who want to see the power of linear algebra as a scientific discipline [1]. Since the balancing of chemical reactions in chemistry is a basic and fundamental issue, it deserves to be considered on a satisfactory level [2]. A chemical reaction can neither create nor destroy atoms. All of the atoms represented on the left side of the arrow must be on the right side of the arrow. This is called balancing the chemical equa-
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