Table 1 The advanced statistical physics models M1, M2 and M3.
From: Investigation of the CO2 adsorption isotherms on activated carbon by statistical physics treatment
Model |
|---|
1- Monolayer Model with One Energy (M1) \(\:{Q}_{e}=n{D}_{0}=\frac{n{D}_{m}}{1+{\left(\frac{{P}_{1/2}}{P}\right)}^{n}}\) |
2- Monolayer Model with Two Energies (M2) \(\:{Q}_{e}=n{D}_{m}\frac{{\left(\frac{P}{{P}_{1}}\right)}^{n}+2{\left(\frac{P}{{P}_{2}}\right)}^{2n}}{1+{\left(\frac{P}{{P}_{1}}\right)}^{n}+{\left(\frac{P}{{P}_{2}}\right)}^{n}}\) |
3- Multilayer Model (M3) \(\:{Q}_{e}=n{.D}_{m}.\frac{\frac{-2{\left(\frac{P}{{P}_{1}}\right)}^{2n}}{\left(1-{\left(\frac{P}{{P}_{1}}\right)}^{n}\right)}\:\:+\:\frac{{\left(\frac{P}{{P}_{1}}\right)}^{2}(1-{\left(\frac{P}{{P}_{1}}\right)}^{2n}}{{\left(1-{\left(\frac{P}{{P}_{1}}\right)}^{n}\right)}^{2}}\:+\:2\:\:\frac{{\left(\frac{P}{{P}_{1}}\right)}^{n}{\left(\frac{P}{{P}_{2}}\right)}^{n}(1-{\left(\frac{P}{{P}_{2}}\right)}^{n{N}_{2}}}{\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n}\right)}\:-\:\:\frac{{\left(\frac{P}{{P}_{1}}\right)}^{n}{\left(\frac{P}{{P}_{2}}\right)}^{n}{\left(\frac{P}{{P}_{2}}\right)}^{n{N}_{2}}{N}_{2}\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n}\right)}{\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n}\right)}\:+\:\frac{{\left(\frac{P}{{P}_{1}}\right)}^{n}{\left(\frac{P}{{P}_{2}}\right)}^{2n}\left((1-{\left(\frac{P}{{P}_{2}}\right)}^{n{N}_{2}}\right)}{{\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n}\right)}^{2}}}{\frac{\left(1-{\left(\frac{P}{{P}_{1}}\right)}^{2n}\right)}{\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n}\right)\:}+\:\frac{{\left(\frac{P}{{P}_{1}}\right)}^{n}{\left(\frac{P}{{P}_{2}}\right)}^{n}\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n{N}_{2}}\right)}{\left(1-{\left(\frac{P}{{P}_{2}}\right)}^{n}\right)}}\) |
