Optimizing a Chain of Continuous Stirred-Tank Reactors

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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 .


Contributed by: Clay Gruesbeck (February 2014)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.