Optimizing a Chain of Continuous Stirred-Tank Reactors

This Demonstration shows how to minimize the cost of a chain of continuous stirred-tank reactors (CSTR) where a first-order isothermal, irreversible chemical reaction takes place.
The design equation for this system is for . The solution obtained by using Mathematica's built-in function Solve is . Here and are the concentration of reactant entering the first reactor and exiting the last reactor in , is the rate constant in , is the volume of each reactor in , is the volumetric flow rate in , and stands for the number of reactors. The cost for each reactor is in dollars, and by combining the above two equations, the cost for reactors is . This function is minimized with respect to and the results are shown for and user-selected values of the outlet concentration of , , the rate constant , and the flow rate .

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