Abstract

Many processes and phenomena in chemistry, and generally in sciences, can be described by first-order differential equations. These equations are the most important and most frequently used to describe natural laws. Although the math is the same in all cases, the student may not always easily realize the similarities because the relevant equations appear in different topics and contain different quantities and units. This text was written to present a unified view on various examples; all of them can be mathematically described by first-order differential equations. The following examples are discussed: the Bouguer–Lambert–Beer law in spectroscopy, time constants of sensors, chemical reaction kinetics, radioactive decay, relaxation in nuclear magnetic resonance, and the RC constant of an electrode.

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