Research article | Open Access
International Journal of Educational Researchers 2025, Vol. 16(3) 16-31
A NEW METHOD OF SOLVING CHEMICAL EQUATIONS
pp. 16 - 31
Publish Date: September 30, 2025 | Single/Total View: 10/7 | Single/Total Download: 10/7
Abstract
Equalization of chemical reactions is one of the main interests of chemistry. In chemistry teaching today, equations are balanced either by guessing or by using methods such as the ion-electron method. Forecasting is difficult to implement because it is time-consuming. The ion-electron method is of limited use since it is necessary to know the oxidation steps of the elements. The Guiding Equation Method we propose in this study has a wide range of applications since it can be applied to all chemical reactions. It is also fast because it uses mathematical methods for the solution and the results are reliable. Our method has the potential to calculate reaction yields differently, change reaction designs and improve chemical productions. In addition, our method is thought to facilitate the teaching and understanding of stoichiometry in chemistry education.
Keywords: Guiding Equation Method, Equalizing Chemical Equations, Ion Electron Method, Regulating Product Yield in Chemical Reactions.
APA 7th edition
Demir, Y., Canpolat, N., Demir, E., & Demir, N. (2025). A NEW METHOD OF SOLVING CHEMICAL EQUATIONS. International Journal of Educational Researchers, 16(3), 16-31.
Harvard
Demir, Y., Canpolat, N., Demir, E. and Demir, N. (2025). A NEW METHOD OF SOLVING CHEMICAL EQUATIONS. International Journal of Educational Researchers, 16(3), pp. 16-31.
Chicago 16th edition
Demir, Yasar, Nurtac Canpolat, Ezgi Demir and Nazan Demir (2025). "A NEW METHOD OF SOLVING CHEMICAL EQUATIONS". International Journal of Educational Researchers 16 (3):16-31.
Barrett, E. (2019). Using Matrices to Balance Chemical Reactions and Modeling the Implications of a Balanced Reaction. Undergraduate Journal of Mathematical Modeling: One+Two, 1-20.
Bennett, G. W. (1954). Material Balances and Redox Equations. Journal of Chemical Education, 324-325.
Bharat Udawat, J. B. (2022). Gauss Jordan method for balancing chemical equation for different materials. Materials Today: Proceedings, 451-454.
Blakley, G. R. (1982). Chemical Equation Balancing: A General Method which is Quick, Simple, and has Unexpected Applications. Journal of Chemical Education, 728-734.
Bottomley., J. (1878). Note on a method for determining the coefficients in chemical equations. Chemical News, 37. 110.
Campanario, J. M. (1995). Automatic ‘Balancing’ Of Chemical Equations. Computers & Chemistry, 85-90.
Carpenter, Y. M. (2015). Using an Interactive Simulation To Support Development of Expert Practices for Balancing Chemical Equations. ConfChem Conference on Interactive Visualizations for Chemistry Teaching and Learning (s. 1150-1151.). Journal of Chemical Education.
Carrano, S. A. (1978). Balancing an Atypical Redox Equation. Journal of Chemical Education, 382.
Cephas Iko-ojo Gabriel, G. I. (2015). Balancing of Chemical Equations using Matrix Algebra. Journal of Natural Sciences Research, 29-36.
Ceyhun İ., K. Z. (2009). Using algebraic and matrix method for balancing chemical equations. Energy Education Science and Technology Part B: Social and Educational Studies, 127-137.
Chacon, D. &. (2023). A python code algorithm for balancing chemical equations as a system of simultaneous linear equations using matrix algebra. Journal of High School Science.
Eric R. Jette, V. K. (1927). The Balancing of Oxidation-Reduction Equations. Journal of Chemical Education, 1021-1030.
Faisal Sultan, M. S. (2020). Balancing the chemical equations and their steady‑state approximations in the complex reaction mechanism: linear algebra techniques. Applied Nanoscience, 5247–5252.
Farahnaz Soleimani, P. S. (2015). Some Matrix Iterations for Computing Generalized Inverses and Balancing Chemical Equations. Algorithms, 982-998.
Ferguson, L. N. (1946). Balancing Equations for Organic Oxidation-Reduction Reactions. Journal of Chemical Education, 550-554.
Hamid, I. (2019). Balancing Chemical Equations by Systems of Linear Equations. Applied Mathematics, 521-526.
Harjadi, W. (1986). A Simpler Method of Chemical Reaction Balancing. Journal of Chemical Education, 978-979.
Johnson, O. C. (1880, July). Negative Bonds, and Rule for Balancing Equations. Chemical News, 51.
Kolb, D. (1978). The Chemical Equation. Part 2: Oxidation-Reduction. Journal of Chemical Education, 326-331.
Kolb, D. (1979). More on Balancing Redox Equations. Journal of Chemical Education, 181-184.
Kumar, D. D. (2001). Computer Applications in Balancing Chemical Equations. Journal of Science Education and Technology, 347-350.
Lehrman, A. (1944). Non-stoichiometric Equations. Journal of Chemical Education, 202-203.
Madhuri A. Gaikwad, S. V. (2021). Conversion of Unbalance Chemical Reaction into Balance Chemical Reaction by Using Gauss Jordan Elimination Method. International Educational Applied Scientific Research Journal, 16-21.
McGavock, W. C. (1945). Nonstoichiometric Equations. Journal of Chemical Education, 269-270.
Melville, J. H. (1932). Balancing Chemical Equations. Journal of Chemical Education, 1299-1301.
Mumtaz Yousaf, M. M. (2020). Some Efficient Mathematical Programming Techniques For Balancing Equations Of Complex Chemical Reactions. Journal Of Mechanıcs Of Contınua And Mathematıcal Scıences, 53-66.
Olson, J. A. (1997). An Analysis of the Algebraic Method for Balancing. Journal of Chemical Education, 538-542.
Park, B. (1929). A Rational Method for Balancing Exceptional Chemical Equations. Journal of Chemical Education, 1136-1138.
Petrucci, R. H., Harwood, W. S., & Herring, F. G. (2005). Genel Kimya. Ankara: Palme Yayıncılık.
Porges, A. (1945). A Question of Balancing. Journal of Chemical Education, 266-267.
Raymond, C., & Goldsby, K. A. (2014). Genel Kimya. Ankara: Palme Yayıncılık.
Risteski, I. (2009). A New Singular Matrix Method for Balancing Chemical Equations and Their Stability. Journal of the Chinese Chemical Society, 65-79.
Risteski, I. B. (2008). A New Generalized Matrix Inverse Method for Balancing Chemical Equations and their Stability. Boletín de la Sociedad Química de México, 104-115.
S.K. Sena, H. A. (2006). Chemical equation balancing: An integer programming approach. Mathematical and Computer Modelling, 678-691.
Steinbach, O. F. (1944). Non-stoichiometric Equations. Journal of Chemical Education, 66,69.
Thorne, L. R. (2010). An Innovative Approach to Balancing Chemical-Reaction Equations: A Simplified Matrix-Inversion Technique for Determining The Matrix Null Space. Chem. Educator, 304-308.
Tóth, Z. (1997). Balancing Chemical Equations by Inspection. Journal of Chemical Education, 1363-1364.
Vanderwerf, C. A. (1945). Balancing Oxidation-Reduction Equations in Organic Chemistry. Journal of Chemical Education, 218-220.
Yavuz, O. (1978). Genel Kimya. Erzurum: Atatürk Üniversitesi.
Y Hari Krishna, P. B. (2020). Application Of Gauss-Jordan Elimination Method In Balancing Typical Chemical Equations. International Journal of Scientific & Technology Research, 465-468.
Yde, P. B. (1989). Abolish the half reaction method. International Journal of Mathematical Education in Science and Technology, 533-542.
