Table 1 Langmuir and Freundlich isotherms in linear and non-linear forms.
From: A green nanocomposite suppresses asphaltene precipitation in carbonates via multiscale evaluation
Isotherm model | Non-linear equation | Linear equation |
---|---|---|
Langmuir | \({\text{Q}}_{{\text{e}}} = {\text{Q}}_{{\text{m}}} \frac{{K{\text{L}} Ce}}{{1 + K{\text{L}}Ce}}\) | \(\frac{Ce}{{Qe}} = \frac{1}{{Qm K{\text{L}}}} + \frac{{{\text{Ce}}}}{Qm}\) |
Freundlich | \({\text{Q}}_{{\text{e}}} = {\text{K}}_{{\text{F}}} Ce^{1/n}\) | \({\text{Ln}}\left( {{\text{Q}}_{{\text{e}}} } \right) = {\text{Ln}}\left( {{\text{K}}_{{\text{F}}} } \right) + \frac{1}{n}{\text{Ln}}\left( {{\text{C}}_{{\text{e}}} } \right)\) |