Table 4 Isotherm constants and correlation coefficients obtained for the removal of Cd2+ ions by CuS nanorods.

From: Evaluation of CuS nanorods surface interaction with Cd2+ ions, Methyl Orange and microbes for clean water management

Isotherm

Parameters

Value

Langmuir

\(\:{q}_{e}=\frac{{Q}_{m}{K}_{L}{C}_{e}}{1+\:{K}_{L}{C}_{e}}\)

Qm (mg g− 1)

275.4

KL (L− 1 mg)

0.029

R2

0.991

Freundlich

\(\:{q}_{e}=\:{K}_{F}{C}_{e}^{\raisebox{1ex}{$1$}\!\left/\:\!\raisebox{-1ex}{$n$}\right.}\)

KF (mg g− 1. L mg− 1)

61.25

n

2.89

R2

0.963

D-R

\(\:{q}_{e}=\:{q}_{s}\text{e}\text{x}\text{p}(-{K}_{DR}{\left[RT\text{ln}(1+\:\frac{1}{{C}_{e}}\right]}^{2})\)

Qs (mg g− 1)

263.18

KDR (mol2 kJ2)

0.0021

E (kJ mol− 1)

15.41

R2

0.978

Temkin

\(\:{q}_{e}=\frac{RT}{{b}_{T}}\text{l}\text{n}\left({A}_{T}{C}_{e}\right)\)

AT (L mg− 1)

0.186

bT (J mol− 1)

125.6

R2

0.945