Kinetic model	Linear form	Plots	References
Lagergren first order	$\text{ln}\left({\text{q}}_{\text{e}},-,{\text{q}}_{\text{t}}\right)={\text{lnq}}_{\text{e}}-{\text{K}}_1\text{t}$	$\text{ln}\left(q_e,-,q_t\right)$ versus t	37
pseudo-second order	$\frac{\text{t}}{{\text{q}}_{\text{t}}}=\left[\frac{1}{{\text{K}}_2{\text{q}}_{\text{e}}^2}\right]+\frac{1}{q_e}t$	t/qe versus t	38
Intraparticle diffusion	${\text{q}}_{\text{t}}={\text{K}}_{\text{id}}{\text{t}}^{\frac{1}{2}}+\text{C}$	qt versus t1/2	39