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

\({\text{Q}}_{{\text{e}}} = {\text{K}}_{{\text{F}}} Ce^{1/n}\)

\({\text{Ln}}\left( {{\text{Q}}_{{\text{e}}} } \right) = {\text{Ln}}\left( {{\text{K}}_{{\text{F}}} } \right) + \frac{1}{n}{\text{Ln}}\left( {{\text{C}}_{{\text{e}}} } \right)\)