1 Introduction
2 Experimental
2.1 Materials
2.2 Equipments
2.3 Methodology
2.3.1 Treatment of PORraw
2.3.2 Adsorption studies
2.3.3 Application
3 Results and discussion
3.1 Characterization of PPOR and APOR
Element | Present work | Reported values | |
---|---|---|---|
PPOR | APOR | PPOR | |
Li | 4.85 | 3.56 | 0.58 (Sanz-Lázaro et al. [40]) |
K | 1560.19 | 149.19 | |
Mg | 7544.34 | 893.85 | |
Ca | 19172.49 | 8348.54 | |
Sr | 313.59 | 153.40 | 227 (Sanz-Lázaro et al. [40]) |
Ba | 15.21 | 13.27 | 2.19 (Sanz-Lázaro et al. [40]) |
B | 1924.27 | 122.01 | |
Al | 259.87 | 166.02 | 19.28–52.42 [41] |
Cr | 35.60 | 12.30 | |
Mn | 9.39 | 3.88 | |
Fe | 372.49 | 354.05 | |
Co | 3.56 | 0.65 | |
Cu | 85.44 | 11.00 | |
Zn | 45.95 | 37.54 | |
Cd | 0.65 | 0.65 | |
C (%) | 44.72 | 47.36 | 32–38 [44] |
N (%) | 0.29 | ND | |
H (%) | 4.66 | 5.5 | |
S (%) | 1.65 | 0.27 |
Sample | BET (m2 g−1) | Average pore diameter(nm) | Pore volume (cm3 g−1) | C constant |
---|---|---|---|---|
PPOR | 46.61 | 1.44 | 0.0168 | 0.172 |
APOR | 23.71 | 4.26 | 0.0253 | 1.446 |
3.2 Adsorption studies
3.2.1 Effect of contact time and initial concentration of MB on the removal efficiency of PPOR and APOR
Pseudo-first-order kinetic model | ||||
C0 (mg L−1) | qe (mg g−1) | K1 (min−1) | R2 | |
Calculated | Experiment | |||
2.0 | 0.562 | 0.774 | 0.117 | 0.968 |
4.0 | 0.438 | 1.566 | 0.051 | 0.972 |
8.0 | 1.024 | 3.121 | 0.630 | 0.900 |
16 | 18.093 | 6.276 | 0.172 | 0.766 |
40 | 7.539 | 15.136 | 0.063 | 0.983 |
Pseudo-second-order kinetic model | ||||
C0 (mg L−1) | qe (mg g−1) | K2 (g g−1min−1) | R2 | |
Calculated | Experiment | |||
2.0 | 0.792 | 0.774 | 0.691 | 1.000 |
4.0 | 1.613 | 1.566 | 0.228 | 0.999 |
8.0 | 3.205 | 3.121 | 0.129 | 1.000 |
16 | 6.423 | 6.276 | 0.078 | 1.000 |
40 | 15.848 | 15.136 | 0.016 | 0.999 |
Intraparticle diffusion rate kinetic model | ||||
C0 (mg L−1) | C (mg g−1) | Kp (mg g−1 min−1/2) | R2 | |
2.0 | 0.6340 | 0.0172 | 0.7539 | |
4.0 | 1.1999 | 0.0433 | 0.7958 | |
8.0 | 2.4976 | 0.0729 | 0.8240 | |
16 | 5.2275 | 0.1235 | 0.8644 | |
40 | 10.5640 | 0.5376 | 0.8946 |
Isotherm model | Equation (linear form) | Equation no | Reference |
---|---|---|---|
Langmuir | \(\frac{{C}_{e}}{{q}_{e}}=\frac{{C}_{e}}{{q}_{\mathrm{max}}}+\frac{1}{{K}_{L}{q}_{\mathrm{max}}}\) | (4) | [56] |
Freundlich | \(\mathrm{log} {q}_{e}={\mathrm{log} K}_{F }{+{~}^{1}\!\left/ \!{~}_{n}\right. \mathrm{log} C}_{e}\) | (5) | [57] |
Dubinin-Kaganer-Raduskavich (DKR) | \(\mathrm{ln}{q}_{e}=\mathrm{ln}{q}_{\mathrm{max}}-\frac{{\varepsilon }^{2}}{2{E}^{2}}\) | (6) | [58] |
Temkin | \({q}_{e}=\frac{RT}{{b}_{T}}{ \mathrm{ln} A}_{T }+ \frac{RT}{{b}_{T}}{ \mathrm{ln} C}_{e}\) | (7) | [60] |
Redlich–Peterson (RP) | \(\frac{{C}_{e}}{{q}_{e}}=\frac{1}{{ b}_{RP }{{q}^{^{\prime}}}_{mon}}+\frac{1}{{{q}^{^{\prime}}}_{mon}}{{C}_{e}}^{\alpha }\) | (8) | [62] |
Langmuir isotherm parameters | |||||
---|---|---|---|---|---|
qmax (mg g−1) | KL | RL | R2 | ||
52.91 | 0.285 | 0.034–0.637 | 0.848 | ||
Freundlich isotherm parameters | |||||
1/n | KF (mg/g) | R2 | |||
0.756 | 9.449 | 0.955 | |||
DKR isotherm parameters | |||||
qmax (mg g−1) | E (kJ/mol) | R2 | |||
1097 | 10.242 | 0.966 | |||
Temkin isotherm parameters | |||||
bT | β = RT/ bT (J mol−1) | AT (L/mg) | R2 | ||
1.13 × 108 | 2.21 × 10−5 | 3.487 × 106 | 0.8786 | ||
Redlich–Peterson isotherm parameters | |||||
q’mon (mg g−1) | bRP (L3 g−1) | α | R2 | ||
19.531 | 1.076 | 0.54 | 0.892 |
Model name | Equation Formula | Best fit | Equation number |
---|---|---|---|
SSE | \(\sum_{{\varvec{i}}=1}^{{\varvec{n}}}\boldsymbol{ }({{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{c}\mathbf{a}\mathbf{l}}-{{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{e}\mathbf{x}\mathbf{p}}{)}_{{\varvec{i}}}^{2}\) | Smallest value | (9) |
RMSE | \(100\sqrt{\frac{1}{{\varvec{N}}}{\sum }_{{\varvec{i}}=1}^{{\varvec{N}}}(1-\boldsymbol{ }\frac{{{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{e}\mathbf{x}\mathbf{p}}}{{{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{c}\mathbf{a}\mathbf{l}}}{)}^{2}}\) | Smallest value | (10) |
Chi-square | \({\sum }_{{\varvec{i}}=1}^{{\varvec{n}}}\frac{({{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{e}\mathbf{x}\mathbf{p}}-{{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{c}\mathbf{a}\mathbf{l}}{)}_{{\varvec{i}}}^{2}}{{{\varvec{q}}}_{{\varvec{e}}\boldsymbol{ }\mathbf{c}\mathbf{a}\mathbf{l}}}\) | Smallest value | (11) |
Isotherm model | RMSE | SSE | X2 |
---|---|---|---|
Langmuir | 0.0024 | 0.0160 | 2.77E − 02 |
Freundlich | 0.0884 | 1.9525 | 5.43E − 01 |
Dubinin-Radushkevich | 0.3513 | 10.3520 | 3.02E − 02 |
Temkin | 1.163E − 9 | 9.579E − 9 | 5.44E − 05 |
Redlich–Peterson | 0.0017 | 0.016 | 2.38E − 02 |
3.2.2 Effect of temperature
3.2.3 Effect of initial solution pH
3.3 Application
Sample | TDS g L−1 | pH(i) | pH(f) | ER% | ||
---|---|---|---|---|---|---|
Manzala Lake | Winter | Elzarka | 7.50 | 7.78 | 7.19 | 88.9 |
Bahr Kromlos | 2.20 | 7.9 | 7.27 | 51.7 | ||
Deshdy | 4.00 | 7.94 | 7.32 | 80.6 | ||
Genka | 2.00 | 7.73 | 7.7 | 67.3 | ||
Elbashtir | 3.40 | 7.87 | 7.66 | 68.0 | ||
Temsah | 20.00 | 7.25 | 7.25 | 85.3 | ||
Summer | Elzarka | 1.00 | 7.71 | 7.65 | 76.4 | |
Bahr Kromlos | 1.20 | 7.83 | 7.32 | 78.8 | ||
Deshdy | 0.90 | 7.42 | 7.16 | 75.2 | ||
Genka | 1.00 | 7.81 | 7.53 | 74.2 | ||
Elbashtir | 1.20 | 7.86 | 7.64 | 78.5 | ||
Temsah | 4.50 | 7.72 | 7.63 | 68.3 | ||
Port Said | Elborg Rest | 26.00 | 8.02 | 7.00 | 93.0 | |
Army Hotel | 32.29 | 8.02 | 7.15 | 84.9 | ||
Gamassa | Ellesan | 26.71 | 8.04 | 7.15 | 78.5 | |
Amon | 40.18 | 7.29 | 7.17 | 84.2 | ||
15th May | 40.18 | 7.60 | 7.10 | 97.2 | ||
Hurgada | 30.00 | 8.30 | 7.15 | 95.6 | ||
Burullus Lake | Tera | 4.24 | 8.20 | - | 91.3 | |
Bughaz | 21.63 | 8.17 | - | 87.9 | ||
East | 6.15 | 8.55 | - | 90.5 |