Final answer:
The differential equation model for a chemical process describes the rate of a reaction and its dependence on reactant concentrations. First-order reactions, for instance, have an integrated rate law that connects reactant concentration with the time elapsed. Chemical equilibrium is described as a dynamic equilibrium with no net change in reactant and product concentrations.
Step-by-step explanation:
The differential equation (dynamic) model for a chemical process typically involves the creation of rate laws or differential rate laws, which are mathematical expressions that describe the relationship between the rate of a chemical reaction and the concentration of its reactants. In the context of chemical equilibrium, a dynamic process is observed where the forward and reverse reactions proceed at equal rates, and integration of the differential rate law for first-order reactions provides insights into how reactant concentration varies over time.
For a simple first-order reaction, integrated rate laws can be derived using calculus to relate the amount of reactant or product present to the time elapsed. Chemical equilibrium represents a state of no net change in concentrations, termed as dynamic equilibrium.
The dynamic model will vary depending on whether the reaction is zero-order, first-order, or second-order, with each having its own integrated rate law formula derived from its respective differential equation.