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Let $\AA$ and $\BB$ be two chemical substances in solution which react together to form a compound $\CC$.
Let the reaction occur by means of the molecules of $\AA$ and $\BB$ colliding and interacting as a result.
Then the rate of formation of $\CC$ is proportional to the number of collisions in unit time.
This in turn is jointly proportional to the quantities of $\AA$ and $\BB$ which have not yet transformed.
Such a chemical reaction is called a second-order reaction.
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 4$: Growth, Decay and Chemical Reactions: Problem $1$