Table 8. The kinetic and isotherm parameters fitted for CIP adsorption [40].

Kinetic Model	Linear Form	Parameter	Value
			50 mg/L	75 mg/L	100 mg/L
Pseudo- first order	$\mathrm{Log}\left(q_e-q_t\right)=log{q}_e-\frac{k_1}{2.303}.t$	qe,cal [mg/g]	36.4	83.35	121.1
		K1 [min-1]	-0.12	-0.13	0.13
		R2	0.97	0.92	0.91
Pseudo- second order	$\frac{\mathrm{t}}{{\mathrm{q}}_{\mathrm{t}}}=\frac{1}{k_{2}q{\mathrm{e}}^2}+\frac{1}{q\mathrm{e}}.\mathrm{t}$	qe,cal [mg/g]	54.7	82.4	115.7
		K2 [min-1]	0.01	0.00	0.00
		R2	0.99	0.97	0.9
Intra-particle diffusion	qt = kp.t0.5+c	Kp [mg/g. min-0.5]	4.53	11.3	15.9
		R2	0.99	0.97	0.98
Isotherm model	Linear Form	Parameter	Value
Langmuir	$\frac{\mathrm{C}\mathrm{e}}{\mathrm{q}\mathrm{e}}=\frac{1}{\mathrm{q}\mathrm{m}}\mathrm{C}\mathrm{e}+\frac{1}{\mathrm{q}\mathrm{m}\mathrm{b}}$	q max (mg/g)	172.6
		KL (L/mg)	0.7
		R2	0.975
Freundlich	Log qe = log $K_F+\frac{1}{n}$ log Ce	KF mg/g(L/mg)1/n	89.07
		N	5.3
		R2	0.971
Temkin	qe = B1ln.kt+B1lnCe	k t (L/mg)	0.77
		B1	18.19
		R2	0.91
Dubinin–Radushkevich	ln qe = ln qm−βϵ2	q max (mg/g)	120.5
		β	1.6
		R2	0.66