Today's success was bittersweet. I was stressed and discombobulated during the latter half of my MatLab coursework. I finished all equations.

I was also struggling with fitting the attached equations to experimental data. Believe it or not, I have not modeled in this way. Much vocabulary, a little algebra, and a lot of paying attention to details. In the end, I was within 3% of Berkeley Chemical Engineering Researchers value. 

Langmuir equations--isotherms, allow one to model the adsorption of, for example, CO2 to the sites in the sorbent particles. Once one figures out the variables, they can use it with a 1-D second order Partial Differential Equation to solve for concentration in a reactor per time and axial distance--down the length of a reactor. The most interesting variable is the adsorption constant or affinity constant (b_infinity) which is a function of temperature. It is used to find "b". P = pressure. Q = heat of adsorption. Rg = gas constant. T = Temperature. M = molecular weight. Kd_Infinity = desorption reaction rate at infinite temperature.

References:

[1] Do, D. D. (1998). Adsorption Analysis: Equilibria and Kinetics (with CD Containing Computer MATLAB Programs). 

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