Gibbs isotherm fit to the adsorption data for nitrogen

Cross section of the adsorption column reproduced from [3] 

Mass balance around the cross section is given by  

In this equation, the dispersion is completely ignored. If dispersion term is included in this equation then Equation 8.16 will have an additional term as shown in Equation 8.17. 

Since we know that adsorption isotherm can be expressed in terms of function / as Cs = /(C ), we can modify Equation 8.16 as follows 

For cases of non-equilibrium, if a linear driving force for mass transfer is assmned then the following dynamic equations can be written for concentration of sepaxand in stationary phase. 

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