Equations name	Equations	Description
Pseudo-first-order	$\ln (Q_{e} - Q_{t}) = \ln Q_{e} - K_{1} t$	Q_e et Q_t respectively are quantities adsorbed at euilibrium and at the time t (mg/g), t: contact time (min); K₁ et K₂ are respectively rate contant of first and second order (min⁻¹).
Pseudo-second-order	$\frac{t}{Q_{t}} = \frac{1}{K_{2} Q_{e}^{2}} + \frac{t}{Q_{e}}$
Langmuir	$\frac{1}{Q_{e}} = \frac{1}{Q_{m} K_{L} C_{e}} + \frac{1}{Q_{m}}$	C_e and Q_e are the concentration and amount at equilibrium; K_L: direct measure of the intensity of the adsorption process; Q_m: maximum adsorption capacity.
Freundlich	$\ln Q_{e} = \frac{1}{n} \ln C_{e} + \ln K_{F}$	K_F: adsorption capacity; n: intensity of adsorption; 1/n = 0 irreversible; 1/n > 1 unfavorable 0 < 1/n < 1 favorable.