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It is false that in an energy diagram for a chemical reaction, energy is plotted along the x-axis (the horizontal axis) and reaction progress is plotted along the y-axis (the vertical axis). The energy is actually plotted along the y-axis and the reaction along the x-axis.
A chemical reaction equation gives the reactants and products, and a balanced chemical reaction equation shows the mole relationships of reactants and products. Often, the amount of energy involved in the reaction is given. Dealing with the quantitative aspect of chemical reactions is called reaction stoichiometry.