What is the law that requires we balance a chemical equation?


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A chemical equation is the symbolic representation of a chemical reaction wherein the reactant entities are given on the left-hand side and the product entities on the right-hand side. The coefficients next to the symbols and formulae of entities are the absolute values of the stoichiometric numbers. The first chemical equation was diagrammed by Jean Beguin in 1615.

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In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928 and later seen to be an elaboration of the work of Wolfgang Pauli. In its free form, or including electromagnetic interactions, it describes all spin-½ particles, such as electrons and quarks, and is consistent with both the principles of quantum mechanics and the theory of special relativity, and was the first theory to account fully for special relativity in the context of quantum mechanics.

It accounted for the fine details of the hydrogen spectrum in a completely rigorous way. The equation also implied the existence of a new form of matter, antimatter, hitherto unsuspected and unobserved, and actually predated its experimental discovery. It also provided a theoretical justification for the introduction of several-component wave functions in Pauli's phenomenological theory of spin; the wave functions in the Dirac theory are vectors of four complex numbers (known as bispinors), two of which resemble the Pauli wavefunction in the non-relativistic limit, in contrast to the Schrödinger equation which described wave functions of only one complex value. Moreover, in the limit of zero mass, the Dirac equation reduces to the Weyl equation.

An element-reaction-product table is used to find coefficients while balancing an equation representing a chemical reaction. Coefficients represent moles of a substance so that the amount of atoms produced is equal to the amount of atoms being reacted with. This is the common setup:

The layout should eventually look like this, for a balanced reaction of baking soda and vinegar (HC2H3O2 + NaHCO3 = NaC2H3O2 + H2CO3)


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