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Table 9 Linear and non-linear constant s for various adsorption isotherm studies

From: The application of Rumex abyssinicus based activated carbon for Brilliant Blue Reactive dye adsorption from aqueous solution

Isotherm model

Linear constants

Non- linear constants

Langmuir

R2 = 0.99

Qmax = 108.69 mg/g

KL = 45.66 L/mg

RL = 0.02

Residual sum of squares = 3.65 × 10–6

Does not converge at all

Freundlich

R2 = 0.96

Kf = 34.59((mg/g)(L/mg))0.25

1/n = 0.44

n = 2.27

Residual sum of squares = 0.00594

R2 = 0.96

Kf = 37.84((mg/g)(L/mg))0.25

1/n = 0.38

n = 2.63

Reduced chi-square = 27.10

Temkin

R2 = 0.99

bT = 98.17

kT = 3.585

Residual sum of squares = 34.6

R2 = 0.97

bT = 37.69

kT = 1.59

Reduced chi-square = 21.41

Sips

R2 = 0.95

1/ns = 0.2

ns = 5

ks = 29.68

Residual sum of squares = 0.00095

Does not converge at all