Unveiling Chemical Harmony through Diophantine Equations
S. Shanmuga Priya · International Journal for Research in Applied Science and Engineering Technology · 2025
Diophantine equations, characterized by algebraic polynomials with integer coefficients and multiple unknowns, are uniquely valuable for problems requiring integer solutions. Their applicability spans diverse domains, including predicting economic trends, optimizing transportation costs, estimating profit margins, tailoring medication dosages to individual patient weights, resolving geometric dilemmas in physics, advancing cryptographic methodologies, addressing computational challenges, and refining chemical reaction equations. This paper delves into the innovative use of Diophantine equations as a mathematical framework for balancing chemical equations, accompanied by illustrative examples that showcase the method's practicality and precision. Also, the method of finding molecular formula of a chemical compound is also shown.