For example, the number of atoms of a given element X on the reactant side must equal the number of atoms of that element on the product side, whether or not all of those atoms are actually involved in a reaction. i represents the degree to which a chemical species participates in a reaction.
The convention is to assign negative coefficients to reactants (which are consumed) and positive ones to products.
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Conversely, if one reactant has a known quantity and the quantity of product can be empirically determined, then the amount of the other reactants can also be calculated.
Stoichiometry rests upon the very basic laws that help to understand it better, i.e., law of conservation of mass, the law of definite proportions (i.e., the law of constant composition), the law of multiple proportions and the law of reciprocal proportions.
The chemical composition of a mixture can be defined as the distribution of the single substances that constitute the mixture, called "components".
In other words, it is defined giving the concentration of each component.
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However, any reaction may be viewed as going in the reverse direction, and all the coefficients then change sign (as does the free energy).
Whether a reaction actually will go in the arbitrarily selected forward direction or not depends on the amounts of the substances present at any given time, which determines the kinetics and thermodynamics, i.e., whether equilibrium lies to the right or the left. k occur whenever the first of the reactants is depleted for the forward reaction; or the first of the "products" is depleted if the reaction as viewed as being pushed in the reverse direction.
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