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In this tutorial, we discuss mixture problems involving reacting fluids as part of the application of first-order differential equations. The key concept is that the rate of change of substance in a volume equals the rate of entrance minus the rate of exit. Mathematically, this can be represented as DX/dt = RsubI*CsubI - RsubO*CsubO, where RsubI is the volumetric flow rate at the entrance, CsubI is the concentration of the substance at the entrance, and RsubO is the volumetric flow rate at the exit. These factors determine how fast the liquid enters, exits, and changes concentration.
