Table 5 Models of diffusion parametric calculation.

From: Insights into isotherms, kinetics, and thermodynamics of adsorption of acid blue 113 from an aqueous solution of nutraceutical industrial fennel seed spent

Initial volume

Temp

Film diffusion model

Weber–Morris model

Dumwald–Wagner

(ppm)

(K)

R| (min−1)

R2

kist (mg/g s0.5)

R2

K (min−1)

R2

50

303

0.0212

0.69

0.40

0.78

0.002

0.69

313

0.0131

0.57

0.21

0.66

0.035

0.77

323

0.0255

0.86

0.52

0.86

0.008

0.43

100

303

0.0448

0.92

2.29

0.79

0.044

0.92

313

0.0519

0.91

2.59

0.79

0.051

0.91

323

0.0468

0.92

2.54

0.82

0.046

0.92

150

303

0.0154

0.88

0.45

0.89

0.015

0.88

313

0.0099

0.69

0.27

0.67

0.808

0.69

323

0.0131

0.57

0.35

0.46

0.013

0.57