An Overview on balancing chemical Equation Through Diophantine Equation

Abstract

Diophantine equation is an algebraic polynomial with two or more unknowns and integer coefficients such that only the integral solutions are required. The Diophantine equation are used to solve for all unknowns in the problems. The Diophantine equation involves only sums, products and powers in which all the constants are integers and only solutions of interest are integers. There are many applications of Diophantine equations in various fields such as figuring out income over time, calculating mileage rates, predicting profit, calculating medicine doses based on patients’ weights, real life geometric problems of physics, the field of cryptography, computational complexity theory, balancing the chemical reactions in chemistry, in this paper we discuss about the mathematical method of balancing chemical equations through Diophantine equations. Some examples are given in this paper in detail.