### Limited exponential growth: Applications of limited exponential growth models

### Simulation of the kinetics of a unimolecular equilibrium reaction

The system of differential equations in an equilibrium reaction can be solved for various parameter values, and graphs of solution curves can be calculated and plotted. In the interactive computer version below, the following equilibrium reaction is simulated \[\text{A}\mathop \rightleftharpoons \limits_{{k_{ - 1}}}^{{k_1}} \text{B}\] and the graphs of the concentrations \([\text{A}]\) and \([\text{B}]\) of substance A and B drawn. You can vary the initial concentrations and the reaction rate constant in order to explore what the effect of such action is. So you can find out, for example, that when the ratio of the rate constants remains the same, the equilibrium concentrations remain the same and that in this case smaller rate constants only cause the equilibrium to be established more slowly.