We study zeroth, first, and second order reactions and offer many opportunities to model these chemical reactions with data, some of which comes from traditional introductory chemistry textbooks. We ask students to verify their model through parameter estimation.
Chemists often use differential equations to model chemical reactions. The rate of reaction is determined by the concentrations of the reactants.
This is sometimes referred to as The Law of Mass Action.
For example, it is known that, ``The rate of decomposition is dependent on the temperature and concentration of the peroxide, as well as the pH and the presence of impurities and stabilizers.'' Thus we consider reactions to be dependent upon the concentration of a single reactant, say, A, where [A] typically represents the concentration (perhaps in units of moles per liter) of the reactant A present at time t.