40
2 Thermodynamics, Kinetics and Desorption Studies …
Table 2.3
Kinetic parameters at various concentrations for the binding of metal ions on G/CR-CS
Pseudo-first-order kinetic model
Pseudo-second-order kinetic model
q
e(exp)
q
e(pred)
MPSD
K
1
R 2
q
e(exp)
q
e(pred)
MPSD
K
2
R 2
Pb(II) 40 mg/L
40.3
± 1.3
50.5
± 1.8
17.1
± 0.8
0.403
± 0.01 0.874 40.3
± 1.2 40.4
± 1.9 1.2
± 0.9
19.5
± 2.2 0.997
80 mg/L
43.6
± 3.2
54.1
± 2.4
16.5
± 2.3
0.587
± 0.01 0.765 43.5
± 3.2 44.1
± 2.4 0.8
± 0.1
19.8
± 2.4 0.986
120 mg/L 45.3
± 3.1
56.5
± 2.2
12.2
± 4.2
0.687
± 0.02 0.832 45.3
± 3.1 46.5
± 2.2 1.1
± 0.1
21.5
± 2.4 0.997
160 mg/L 49.4
± 2.1
61.4
± 3.2
14.2
± 4.4
0.696
± 0.01 0.783 49.4
± 2.8 48.4
± 3.3 1.7
± 0.2
21.9
± 3.5 0.997
Cu(II) 40 mg/L
30.3
± 2.2
43.5
± 1.3
16.1
± 1.3
0.498
± 0.02 0.874 30.2
± 2.2 30.2
± 2.2 0.7
± 0.01 17.2
± 2.2 0.999
80 mg/L
35.3
± 3.4
49.5
± 1.3
13.1
± 1.3
0.547
± 0.01 0.785 35.3
± 3.4 35.3
± 2.8 0.3
± 0.2
17.9
± 2.2 0.987
120 mg/L 39.3
± 2.1
55.5
± 1.2
15.1
± 1.2
0.549
± 0.02 0.814 39.3
± 2.6 38.7
± 3.9 1.5
± 0.9
18.9
± 2.8 0.984
160 mg/L 43.8
± 2.6
60.4
± 1.2
15.2
± 1.2
0.564
± 0.03 0.814 43.8
± 2.6 44.2
± 2.4 1.4
± 0.1
20.4
± 2.8 0.999
Ni(II) 40 mg/L
23.3
± 3.87 32.2
± 3.14 11.7
± 2.99 0.509
± 001
0.816 23.3
± 3.7 22.1
± 1.5 1.9
± 0.9
16.4
± 2.4 0.996
80 mg/L
26.2
± 4.65 38.4
± 3.99 10.8
± 3.45 0.406
± 0.11 0.816 26.2
± 4.6 27.7
± 2.9 1.4
± 0.5
17.5
± 3.1 0.987
120 mg/L 30.3
± 2.1
40.5
± 3.5
12.2
± 3.4
0.417
± 0.15 0.807 30.3
± 2.1 32.5
± 2.4 0.8
± 0.0
18.4
± 3.5 0.999
160 mg/L 36.8
± 1.2
48.4
± 1.2
13.9
± 1.2
0.409
± 0.23 0.877 36.8
± 1.2 37.4
± 2.8 0.9
± 0.0
19.2
± 2.9 0.996
Zn(II) 40 mg/L
20.2
± 1.2
31.7
± 3.1
12.4
± 2.5
0.544
± 0.02 0.765 20.1
± 1.2 21.7
± 1.1 1.5
± 0.0
14.8
± 1.2 0.987
80 mg/L
22.3
± 2.1
33.6
± 3.4
10.6
± 3.2
0.511
± 0.02 0.765 22.2
± 2.1 24.2
± 2.4 0.9
± 0.0
14.9
± 2.6 0.987
120 mg/L 28
± 2.2
29
± 2.8
10.2
± 3.3
0.493
± 0.02 0.814 28.2
± 2.2 29.8
± 2.2 1.2
± 0.3
16.8
± 2.2 0.999
160 mg/L 31.4
± 3.1
42.9
± 3.8
12.4
± 2.3
0.476
± 0.01 0.77
31.4
± 3.1 33.5
± 2.8 3.2
± 2.6
18.2
± 2.5 0.986
2 Thermodynamics, Kinetics and Desorption Studies …
Table 2.3
Kinetic parameters at various concentrations for the binding of metal ions on G/CR-CS
Pseudo-first-order kinetic model
Pseudo-second-order kinetic model
q
e(exp)
q
e(pred)
MPSD
K
1
R 2
q
e(exp)
q
e(pred)
MPSD
K
2
R 2
Pb(II) 40 mg/L
40.3
± 1.3
50.5
± 1.8
17.1
± 0.8
0.403
± 0.01 0.874 40.3
± 1.2 40.4
± 1.9 1.2
± 0.9
19.5
± 2.2 0.997
80 mg/L
43.6
± 3.2
54.1
± 2.4
16.5
± 2.3
0.587
± 0.01 0.765 43.5
± 3.2 44.1
± 2.4 0.8
± 0.1
19.8
± 2.4 0.986
120 mg/L 45.3
± 3.1
56.5
± 2.2
12.2
± 4.2
0.687
± 0.02 0.832 45.3
± 3.1 46.5
± 2.2 1.1
± 0.1
21.5
± 2.4 0.997
160 mg/L 49.4
± 2.1
61.4
± 3.2
14.2
± 4.4
0.696
± 0.01 0.783 49.4
± 2.8 48.4
± 3.3 1.7
± 0.2
21.9
± 3.5 0.997
Cu(II) 40 mg/L
30.3
± 2.2
43.5
± 1.3
16.1
± 1.3
0.498
± 0.02 0.874 30.2
± 2.2 30.2
± 2.2 0.7
± 0.01 17.2
± 2.2 0.999
80 mg/L
35.3
± 3.4
49.5
± 1.3
13.1
± 1.3
0.547
± 0.01 0.785 35.3
± 3.4 35.3
± 2.8 0.3
± 0.2
17.9
± 2.2 0.987
120 mg/L 39.3
± 2.1
55.5
± 1.2
15.1
± 1.2
0.549
± 0.02 0.814 39.3
± 2.6 38.7
± 3.9 1.5
± 0.9
18.9
± 2.8 0.984
160 mg/L 43.8
± 2.6
60.4
± 1.2
15.2
± 1.2
0.564
± 0.03 0.814 43.8
± 2.6 44.2
± 2.4 1.4
± 0.1
20.4
± 2.8 0.999
Ni(II) 40 mg/L
23.3
± 3.87 32.2
± 3.14 11.7
± 2.99 0.509
± 001
0.816 23.3
± 3.7 22.1
± 1.5 1.9
± 0.9
16.4
± 2.4 0.996
80 mg/L
26.2
± 4.65 38.4
± 3.99 10.8
± 3.45 0.406
± 0.11 0.816 26.2
± 4.6 27.7
± 2.9 1.4
± 0.5
17.5
± 3.1 0.987
120 mg/L 30.3
± 2.1
40.5
± 3.5
12.2
± 3.4
0.417
± 0.15 0.807 30.3
± 2.1 32.5
± 2.4 0.8
± 0.0
18.4
± 3.5 0.999
160 mg/L 36.8
± 1.2
48.4
± 1.2
13.9
± 1.2
0.409
± 0.23 0.877 36.8
± 1.2 37.4
± 2.8 0.9
± 0.0
19.2
± 2.9 0.996
Zn(II) 40 mg/L
20.2
± 1.2
31.7
± 3.1
12.4
± 2.5
0.544
± 0.02 0.765 20.1
± 1.2 21.7
± 1.1 1.5
± 0.0
14.8
± 1.2 0.987
80 mg/L
22.3
± 2.1
33.6
± 3.4
10.6
± 3.2
0.511
± 0.02 0.765 22.2
± 2.1 24.2
± 2.4 0.9
± 0.0
14.9
± 2.6 0.987
120 mg/L 28
± 2.2
29
± 2.8
10.2
± 3.3
0.493
± 0.02 0.814 28.2
± 2.2 29.8
± 2.2 1.2
± 0.3
16.8
± 2.2 0.999
160 mg/L 31.4
± 3.1
42.9
± 3.8
12.4
± 2.3
0.476
± 0.01 0.77
31.4
± 3.1 33.5
± 2.8 3.2
± 2.6
18.2
± 2.5 0.986