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Application of the Riccati Equation to Solve Adsorption Problems
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2007-05-23
Description

We solve an adsorption problem (adsorption of acetone in air using clean charcoal) using the solution of a Riccati equation. We find that approximately 3.45 plates are needed to achieve the desired product purity (0.0202 Kg acetone/Kg air). We also compute the number of stages with the classical approach by stepping off stages using the equilibrium curve (Langmuir relationship) and the operating line. With this second approach, we find 3.36 plates in close agreement with the Riccati equation method.
Subjects

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
*Science > Chemistry
Keywords

Adsorption, Riccati equation, operating line, equilibrium curve, stepping off stages, theoretical plates, Langmuir relationship, RSolve
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ARiccatiEAdsorption.nb (14 KB) - Mathematica Notebook [for Mathematica 5.2]