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Table 3 Comparison of the pseudo-first-order and pseudo-second-order adsorption rate constants and the calculated and experimental qe values obtained at different initial dye concentrations

From: Alginate-coated perlite beads for the efficient removal of methylene blue, malachite green, and methyl violet from aqueous solutions: kinetic, thermodynamic, and equilibrium studies

Adsorbent

   

Pseudo-first-order

Pseudo-second-order

Dye

Co(ppm)

q e exp

k 1

q e

R 2

k 2

q e

R 2

AP

MB

25

20.90

0.010

10.60

0.866

0.0031

20.83

0.999

MB

50

35.87

0.013

16.06

0.799

0.0018

37.31

0.998

MB

100

70.83

0.012

28.21

0.966

0.0016

70.92

0.999

AP

MG

25

16.90

0.0096

9.68

0.892

0.0031

16.89

0.995

MG

50

30.87

0.0136

16.47

0.854

0.0016

32.68

0.996

MG

100

49.83

0.0117

16.84

0.800

0.0025

50.00

0.999

AP

MV

25

24.00

0.0169

6.90

0.786

0.0049

24.75

0.999

MV

50

46.87

0.0116

10.63

0.560

0.0024

47.85

0.997

MV

100

89.00

0.0190

35.86

0.871

0.0006

96.15

0.990

P

MB

10

3.00

0.0066

2.12

0.955

0.0130

2.74

0.989

MB

25

4.25

0.0102

3.39

0.988

0.0053

4.56

0.983

MB

50

6.20

0.0075

4.52

0.921

0.0047

6.08

0.996

P

MG

10

2.59

0.0031

2.02

0.781

0.0181

1.71

0.996

MG

25

3.87

0.0063

2.50

0.895

0.0142

3.39

0.977

MG

50

4.83

0.0089

4.07

0.978

0.0037

5.17

0.965

P

MV

10

2.19

0.0091

1.28

0.867

0.0241

2.16

0.997

MV

25

3.87

0.0080

2.44

0.865

0.0110

3.76

0.993

MV

50

5.83

0.0097

4.65

0.956

0.0030

6.46

0.974