. 2020 Jul 18;6(7):e04492. doi: 10.1016/j.heliyon.2020.e04492

Table 10.

Parameter of isotherm models for phenol adsorption.

Isotherm	Linearization	plot	parameter	value
Langmuir	$\frac{C_{e}}{q_{e}} = \frac{1}{k_{l} q_{m}} + c_{e} \frac{1}{q_{m}}$	$\frac{C_{e}}{q_{e}} Vs c_{e}$	Q_max (mgg⁻¹)	28.33
			K_L (Lmg⁻¹)	0.0513
			R_L	0.082
			R²	0.997
Freundlich	$\ln q_{e} = \frac{1}{n} \ln c_{e} + \ln k_{f}$	$\ln q_{e} Vs \ln c_{e}$	KF (mgg⁻¹)	2.138
			n	1.695
			R²	0.981
Temkin	$q_{e} = B \ln A + B \ln c_{e}$	$q_{e} Vs \ln c_{e}$	B	6.16
			A	0.461
			R²	0.993
Dubnin-Radushkevich	$\ln q_{e} = \ln q_{m} - β \in^{2}$	$\ln q_{e} Vs \in^{2}$	Q_max (mgg⁻¹)	15.64
			β(mg²KJ⁻¹)∗10⁻⁴	0.05
			E (KJmol)	3.16
			R²	0.876