A New Approach to Balance the Chemical Reaction Equations by Applying Gauss,Gauss-Jordan Methods and Cramer’s Rule and Verification of the Same by Computational Programming Softwares

This study is undertaken to balance the chemical reaction, i.e., combustion of hydrocarbons, by using a system of linear equations with the Gauss and Gauss-Jordan elimination method and Cramer’s Rule. It was earlier reported that these reactions are not possible to balance mathematically. The results of the present study show that these reactions can be balanced by using the linear equations protocol. Furthermore, the results of the present study were verified by using various computational programming tools or software, such as MATLAB, Python (Jupyter Notebook), and Lindo. The above methods are also applied to get the various hydrocarbon combustion reactions to prove the generality of the present study. Thus, it is anticipated that the present study results will open a gateway in the area of balancing chemical reactions by using mathematical protocols 1 and their computational counterparts, and in the future, it may be possible to mathematically handle any chemical reaction with given reactants and products. MSC Classification: 15A06 , 15A52 , 15A12 , 65F05 , 65F3