The substances initially involved in a chemical reaction are called reactants, but the newly formed substances are called the products. Actually, balancing chemical equations provides an excellent demonstrative and pedagogical example of interconnection between stoichiometrical principles and linear algebra.Ī chemical equation is a symbolic representation of a chemical reaction. It is highly important for chemistry student to be able to write and balance chemical equations readily and accurately. Every student, which has general chemistry as an obligatory subject, is bound to come across balancing chemical equations. It is fortunate indeed that an extensive and comprehensive knowledge of sub-atomic phenomena is not essential in the balancing of equations. Chemical equations are commonly written for two purposes: to show the probable reaction products, and to show the quantities of materials that enter into reaction. Every chemistry instructor doubtless has his favorite technique of balancing equations. Also, in the present work are introduced necessary and sufficient criteria for stability of chemical equations over stability of their extended matrices. Chemical equations treated here possess atoms with fractional oxidation numbers.
This method, which works successfully without any limitations, also has the capability to determine the feasibility of a new chemical reaction, and if it is feasible, then it will balance the equation. The method has been tested on several typical chemical equations and found to be very successful for the all equations in our extensive balancing research. Here offered method is founded on virtue of the solution of a Diophantine matrix equation by using of a Moore-Penrose pseudoinverse matrix. This work is given a new pseudoniverse matrix method for balancing chemical equations.
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