Modeling the sorption of heavy metals of industrial wastewater in two different soils

Document Type : Research papers

Authors

Soil and Agricultural Chemistry Dept., Faculty of Agriculture Saba Basha, Alexandria University, EGYPT

Abstract

The sorption characteristics of the most common heavy metals; cadmium, cobalt, nickel, and lead by two different natural soils; sandy and sandy loam soils have been investigated. These heavy metals are found in the effluent of almost every industry and hence were selected for the study. The soil used in the present experiment was taken from the surface layer (0-30 cm depth) of the El-Hammam region, Matrouh Governorate (sandy loam soil), and Nubaria region for sandy soil. The synthetic industrial wastewater was prepared from the stock solution of heavy metals compatible with industrial wastewater of the Paper industry wastewater company and Food industry wastewater companies. To study and compare the sorption of heavy metals on sorbent materials, the sorption data were fitted to some sorption isotherm models using the software IsoFit such as Linear, Freundlich, Langmuir, Langmuir-Freundlich, Generalized Langmuir-Freundlich, and proposed new models. Measured and simulated data were compared statistically for evaluating model reliability. it was observed that both soils sorbed about 63 to 85% (sandy soil) and about 75 to 87% (sandy loam soil) of the initial concentration of the heavy metal ions from the aqueous solution. The sorption of heavy metals is more pronounced in sandy loam than in sandy soil. The sorption percentage was decreased by increasing the initial concentration. The average sorption percentage overall initial concentrations were 74.18 (Cd), 66.17 (Co), 80.25 (Ni), and 79.78%(Pb) for sandy soil and 80.84(Cd), 77.50 (Co), 84.96 (Ni), and 86.79%(Pb) for sandy loam soil. In the present study,.....

Keywords

Main Subjects


INTRODUCTION

 

Human activity affects the wastewater that affects water supplies. Tilley et al. (2016) state that wastewater can arise from residential, commercial, industrial, or agricultural operations, surface runoff or stormwater, and sewer discharge or seepage. The use of untreated industrial wastewater for domestic, agricultural, and other purposes poses health risks. Due to their toxicity, durability, and propensity to bioaccumulate, heavy metals in wastewater pose one of the most difficult environmental issues.

Heavy metals in wastewater are one of the most challenging environmental concerns due to their toxicity, persistence, and propensity to bioaccumulate (Mwangi et al., 2012). Many companies discharge heavy-metal wastewater into the soil and water. This can lead to serious environmental damage and harm to human health. Governments should implement regulations to limit the amount of heavy metals discharged into the environment, and companies should invest in technologies to treat wastewater before discharging it. This reduces water quality and increases metal content (Yu et al., 2013). These heavy metals include Cd, Pb, Cu, Fe, Ni, Mn, and Cr. Heavy metal contamination is not a recent problem, but its control remains a worldwide concern (Monachese et al., 2012).

Among the sources of environmental pollution associated with heavy metals are heavy metal mining, the metal industry, foundries, plating, painting, battery making, tanning, textiles, papermaking, and other similar industries that repel and release elements such as cadmium, mercury, nickel, lead, zinc, chromium, copper, and silver. Heavy metals in municipal wastewater disrupt the wastewater treatment system, reduce purification efficiency, and, in acute cases, stop biological activities in treatment systems. The cationic heavy metal retention in soils is due to its strong adsorption onto negatively charged soil surfaces, the ability to form complex molecules with organics found in the soil, and the formation of oxides, hydroxides, and other insoluble minerals in the soil (Stewart, et al., 2003).

One of the biggest environmental issues today is heavy metal contamination. Three types of heavy metals are of concern, including toxic metals “such as Hg, Cr, Pb, Zn, Cu, Ni, Cd, As, Co, Sn, etc.”, and precious metals “(such as Pd, Pt, Ag, Au, Ru, etc.”, and radionuclides “such as U, Th, Ra, Am, etc.” (Wang and Chen, 2006).

When wastewater is discharged into soil, it seeps through the soil before progressing downward into groundwater, or it flows past surface soil to lowland. According to numerous research, heavy metals can be taken out of soils (Abat et al., 2012). Soils are a crucial natural resource that treats wastewater. They act as filters, preventing harmful metals from seeping into groundwater or flowing into other areas and rivers. This process is essential for maintaining our environment and communities health and safety. By utilizing the soil's natural properties, we can effectively treat wastewater and protect our precious water resources. (Srivastava et al., 2005).

 In this study, the sorption characteristics of the most common heavy metals; cadmium, cobalt, nickel, and lead by two different natural soils; sandy and sandy loam soils have been investigated. These heavy metals are found in the effluent of almost every industry and hence were selected for the study.

MATERIALS AND METHODS

Soil

The soil used in the present experiment was taken from the surface layer (0-30 cm depth) of the El-Hammam region, Matrouh Governorate (sandy loam soil), and Nubaria region for sandy soil. The soils were air-dried and passed through a 2.0 mm sieve. Some physicochemical properties of the soil samples are reported in Table (1). The soil properties were performed according to the procedures outlined in Carter and Gregorich (2008).

 

 

 

Table (1). Physical and chemical analysis of soils used in the present study

 

Parameters

Sandy soil

(Nubaria)

Sandy loam soil

(El-Hammam)

Particle-size distribution, %

Sand

91.12

74.32

Silt

4.00

16

clay

4.88

9.68

Textural grade

Sand

Sandy loam

Water retention parameters

qr, cm3/cm3

0.0529

0.0477

qs, cm3/cm3

0.3758

0.4409

a, 1/cm

0.0323

0.0328

n

2.6491

1.5277

Ks,  cm/day

382.80

125.51

OM, %

0.42

0.81

CaCO3 , %

2.63

1.06

pH

8.00

8.10

EC, dS/m

0.58

4.00

Soluble cations, me/l

Ca

2.33

13.28

Mg

3.01

24.72

Na

0.32

1.53

K

0.11

0.48

Soluble Anions, me/l

CO3+HCO3

0.33

3.78

Cl

4.49

12.75

SO4

0.93

23.47

Available nutrients, mg/kg

N

14.2

18.7

P

60.0

80.5

K

600

800

Pb

0.11

0.22

Ni

0.09

0.18

Cd

0.17

0.27

Co

0.02

0.03

 

Reagents

In the present study, we used only analytical-grade chemical reagents. The reagents were Cd(NO3)2·4H2O, Co(NO3)2.6H2O, Ni(NO3)2.6H2O, and Pb(NO3)2.4H2O were purchased from Al-Gomhoria Chemical Co., Alexandria, Egypt, Also NaOH and HNO3 which were used for pH adjustment were bought from Al-Gomhoria Company for the trade of medicines, chemicals and medical supplies, Alexandria, Egypt. The stock solutions of Cd(II), Co(II), Ni(II), and Pb(II) with a concentration of 1000 mg/L were prepared by dissolving a confirmed amount of corresponding reagent into a 1000 mL volumetric flask, respectively. The stock solutions and the working solutions diluted from the stock solutions were stored at 4°C under HNO3 (5% w/w) conditions to prevent the heavy metal ions from hydrolysis. Deionized (DI) water was used throughout the experiment.

The batch sorption of heavy metals:

The synthetic industrial wastewater was prepared from the stock solution of heavy metals compatible with industrial wastewater of the Paper industry wastewater company and Food industry wastewater companies.

Stock solutions of the Pb2+, Ni2+, Cd2+ and Co2+ 1000 mg/l were prepared from analytical grade of high purity salts (Pb(NO3)2 -4H2O, Ni(NO3)2 -6H2O, Cd(NO3)2 -4H2O and Co(NO3)2-6H2O in 5% HNO3). Subsequent dilutions of (0.0 to 6.23 mg/l for Cd2+, (0.0 to 5.146 mg/l) for Co2+, (0.0 to 9.449 mg/l) for Ni2+, and (0.0 to 10.039 mg/l) for Pb2+, respectively were prepared by suitably diluting the stock solution with distilled water. The experiments were performed in 100 ml flasks containing 50 ml of heavy metals solution with different concentrations plus 2.0 g of soil (sandy or sandy loam soil) with three replicates for each experiment. The mixture was shaken in a rotary shaker at 200 rpm for one hour followed by filtration using Whatman filter paper (No.1). The filtrate containing the residual concentration of heavy metals was stored for analysis. The filtrate was analyzed for the tested heavy metals using Inductively Coupled Plasma=Emission Spectrometry, ICP (Ultima 2 JY Plasma) according to Ivajlo et al. (2008). The data were fitted using some sorption models.

The capacities of the sorbents were calculated after equilibrium was attained. The metal sorbed capacity for each sample was calculated according to a mass balance of the metal ion using the following equation (Vijayaraghavan et al., 2006):

                                                          (1)

Where: Co is the initial concentration of metal (mg L-1), Ce is the equilibrium metal concentration (mg L-1) and qe is the quantity of metal sorbed at equilibrium (mg kg-1). m is the mass of the adsorbent (g), and V is the amount of the solution (L). The percent sorbed of metals from the solution was calculated by the following equation (Sethuraman and Balasubramanian, 2010):

                      (2)

Mathematical modeling

To study and compare the heavy metals sorption on sorbent materials, the sorption data were fitted to some sorption isotherm models using the software IsoFit (Matott, 2004; Matott and Rabideau, 2008). The software package IsoFit offers three options for weighted least squares fitting of the sorption models to experimental data: uniform weighting, sorbed relative (weights are inversely proportional to sorbed concentrations), and solute relative (Weights and solute concentrations have an inverse relationship).

Isotherm sorption models have been used to predict the ability of a certain adsorbent to remove a pollutant down to a specific discharge value. When a mass of adsorbent and a waste stream are in contact for a sufficiently long time, an equilibrium between the amount of pollutant adsorbed and the amount remaining in the solution will develop.

Isotherm sorption models have been used to predict the ability of a certain adsorbent to remove a pollutant down to a specific discharge value. When a mass of adsorbent and a waste stream are in contact for a sufficiently long time, an equilibrium between the amount of pollutant adsorbed and the amount remaining in the solution will develop.

Adsorption isotherm is the mathematical representation of adsorption capacity (qe) versus equilibrium concentration of the solute (Ce). Modeling adsorption isotherm data is important for prediction or comparison among adsorption performances. One, Two, three, and four -parameters isotherm models are suggested to model the sorption data (Table 2).

 

 

 

 

 

Table (2). Isotherm sorption models used in the

present study

 

Sorption isotherm models

Equation

Single parameter model

Linear or Henry isotherm

Xue et al. (2001)

                                   (3)

Two parameters model

Freundlich isotherm

Freundlich (1906)

Jain et al. (2003)

                                   (4)

Langmuir isotherm

Langmuir (1916)

Chen (2013)

                              (5)

A new model (GK1)

          (6)

A new model (GK2)

                        (7)                               (7)

Three parameters model

Langmuir-Freundlich isotherm

Azizian and Eris (2021)

                         (8)                   

Generalized Langmuir- Freundlich isotherm

Ayawei et al.(2017)

               (9)                  

 

Performance evaluation of sorption models

A statistical comparison of measured and simulated data is used to assess the reliability of the model (D'Agostino and Stephens, 1986). Agreement between predicted and measured values was determined by calculating the determination coefficient (R2), the Root Mean Square Error (RMSE), the Normalized Root Mean Square Error, NRMSE (Jacovides and Kontoyiannis, 1995), Nash-Sutcliffe Efficiency (EF), (Nash and Sutcliffe, 1970) and the Index of Willmott (d), (Willmott, 1982,1985&2012).

RESULTS AND DISCUSSION

Sorption of heavy metals

The equilibrium isotherms for every single heavy metal (Pb+2, Ni+2, Cd+2, and Co+2) onto both sandy and sandy loam soils are presented in Tables (3 and 4), respectively, and Figures 1 to 8. From the results, it was observed that both soils sorbed about 63 to 85% (sandy soil) and about 75 to 87% (sandy loam soil) of the initial concentration of the heavy metal ions from the aqueous solution. The sorption of heavy metals is more pronounced in sandy loam than in sandy soil. The sorption percentage was decreased by increasing the initial concentration. The average sorption percentage overall initial concentrations were 74.18 (Cd), 66.17 (Co), 80.25 (Ni), and 79.78(Pb) for sandy soil and 80.84(Cd), 77.50 (Co), 84.96 (Ni), and 86.79(Pb) for sandy loam soil.

 

 

 

 

 

 

 

 

Figure (1). Linear sorption isotherm of Cd on sandy soil

 

 

Figure (2). Linear sorption isotherm of Co on sandy soil

 

 

Figure (3). Linear sorption isotherm of Ni on sandy soil

 

Figure (4). Linear sorption isotherm of Pb on sandy soil

 

 

Figure (5). Linear sorption isotherm of Cd on sandy loam soil

 

 

Figure (6). Linear sorption isotherm of Co on sandy loam soil

26

 

Figure (7). Linear sorption isotherm of Ni on sandy loam soil

 

 

Figure (8). Linear sorption isotherm of Pb on sandy loam soil

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Table (3). Equilibrium sorption of heavy metals on the sandy soil

Cd2+

Co2+

Ce

mg/l

qe

mg/kg

% sorbed

Ce

mg/l

qe

mg/kg

% sorbed

0.000

0.00

 

0.000

0.00

 

0.150

11.25

75.00

0.150

8.75

70.00

0.300

22.50

75.00

0.400

20.00

66.67

0.450

33.75

75.00

0.750

36.75

66.22

0.600

40.73

73.08

1.300

60.00

64.86

1.100

72.50

72.50

1.900

81.15

63.08

1.600

116.83

74.49

 

 

Ni2+

Pb2+

Ce

mg/l

qe

mg/kg

% sorbed

Ce

mg/l

qe

mg/kg

% sorbed

0.000

0.00

 

0.000

0.00

 

0.150

21.25

85.00

0.100

12.50

83.33

0.300

32.50

81.25

0.300

30.00

80.00

0.650

63.75

79.69

0.750

81.25

81.25

1.300

117.50

78.33

1.200

120.00

80.00

2.174

181.88

76.99

1.700

157.50

78.75

 

2.117

198.05

78.91

 

Since only a particular amount of adsorbent can adsorb a specific quantity of heavy metal ions, the initial concentration of heavy metal ions is a crucial factor in adsorption. The data shown in Tables (3 and 4) demonstrate that as starting concentration increased, the percentage of ions that were adsorbed dropped. However, as shown in Tables (3 and 4), the actual number of ions adsorbed per unit mass of the adsorbent increased with increasing initial ions concentration in the test solution. At low concentrations, all metal ions interact with the soil and are swiftly removed from the solution due to the high ratio of surface active sites to total metal ions in the solution. The initial concentration of heavy metal ions is a key component in adsorption because only a specified amount of adsorbent can adsorb a specific amount of heavy metal ions. The information in Tables (3 and 4) shows that the percentage of ions that were adsorbed decreased as the initial concentration rose. The actual amount of ions adsorbed per unit mass of the adsorbent did, however, increase with increasing initial ions concentration in the test solution, as shown in Tables (3 and 4). Due to the large ratio of surface active sites to total metal ions in the solution, all metal ions interact with the soil at low concentrations and are quickly eliminated from the solution. However, the amount of metal ions adsorbed per unit weight of adsorbent, qe, is higher at high concentrations. According to these results, the initial ions concentration plays an important role in the adsorption capacities. Higher concentrations of metal ions were used to study the maximum adsorption capacity of the adsorbent (Karthikeyan et al., 2004; Mohanty et al., 2005).

 

 

 

Table (4). Equilibrium sorption of heavy elements on sandy loam soil

Cd2+

Co2+

Ce

mg/l

qe

mg/kg

% sorbed

Ce

mg/l

qe

mg/kg

% sorbed

0.00

0.00

 

0.00

0.00

 

0.10

10.00

80.00

0.10

10.00

80.00

0.20

20.00

80.00

0.25

18.75

75.00

0.40

45.73

82.05

0.480

43.50

78.38

0.75

81.25

81.25

0.850

73.75

77.63

1.20

126.83

80.87

1.200

97.50

76.47

 

Ni2+

Pb2+

Ce

mg/l

qe

mg/kg

% sorbed

Ce

mg/l

qe

mg/kg

% sorbed

0.00

0.00

 

0.000

0.00

 

0.12

22.00

88.00

0.050

7.50

85.71

0.25

31.25

83.33

0.100

14.35

85.16

0.30

42.95

85.13

0.200

32.50

86.67

0.50

72.50

85.29

0.500

80.00

86.49

0.85

128.75

85.83

0.800

142.50

87.69

1.40

201.23

85.18

1.210

220.73

87.95

 

 

Adsorption isotherms are typically used to characterize the adsorption mechanism for the interaction of cations on the adsorbent surface. The equilibrium in the sorption study is vital for an adsorption process as it reveals the capacity of the adsorbent. In this study, the adsorption isotherm was investigated using experimental data and several isotherm models, including the linear, Freundlich, Langmuir, Langmuir-Freundlich, Generalized Langmuir-Freundlich, and two New models (Tables 5 and 6).

In the present study, the experimental data were analyzed to examine the sorption isotherm models. All sorption isotherm models used in this study apply to monolayer adsorbate coverage on the soil surface (Abdulrasaq and Basiru, 2010).

 

 

 

Table (5). Sorption isotherm parameters of some models for heavy metals sorption on sandy soil

Sorption model

Parameters

Cd2+

Co2+

Ni2+

Pb2+

Linear

Kd

70.96

44.65

87.06

95.42

R2

0.9939

0.9931

0.9911

0.9960

Freundlich

Kf

70.52

46.78

93.67

100.34

1/n

1.0323

0.8726

0.8540

0.8982

R2

0.9949

0.9993

0.9996

0.9983

Langmuir

qm

1595.78

980.88

788.64

1159.38

B

0.0470

0.1428

0.1372

0.0958

R2

0.9916

0.9998

0.9987

0.9984

Langmuir-Freundlich isotherm

 

qm

790.48

583.43

1958.68

1848.02

B

0.0991

0.0881

0.0507

0.0578

1/n

1.1213

0.9520

0.9993

0.9578

R2

0.9928

 

0.9997

 

0.9996

 

0.9984

 

Generalized Langmuir- Freundlich Isotherm

                                  

 

New model (GK1)

qm

613.38

408.39

732.52

1548.07

B

0.1720

0.1290

0.1482

0.0644

1/n

1.1517

0.9897

0.9916

0.9697

R2

0.9920

 

0.9998

 

0.9984

 

0.9984

 

qm

896.09

210.87

445.37

637.27

K

0.0836

0.2561

0.2403

0.1732

R2

0.9919

 

0.9998

 

0.9984

 

0.9984

 

 

New model (GK2)

K

178.19

475.42

166.70

565.41

B

1.5109

8.9666

0.7739

4.5929

N

0.0000

1.1951

0.2567

0.5522

R2

0.9945

 

0.9998

 

0.9996

 

0.9985

 

Table (6). Sorption isotherm parameters of some models for heavy metals sorption on sandy loam soil

Sorption model

Parameters

Cd2+

Co2+

Ni2+

Pb2+

Linear

Kd

106.92

 

83.82

 

148.72

 

178.73

 

R2

0.9987

 

0.9963

 

0.9963

 

0.9971

 

Freundlich

Kf

106.75

83.53

145.66

179.33

1/n

0.9765

0.9482

0.9904

1.1014

R2

0.9990

 

0.9962

0.9933

 

0.9995

Langmuir

qm

2275.72

888.12

8447.11

7136.97

B

0.0493

0.1041

0.0176

0.0256

R2

0.9992

 

0.9977

 

0.9974

 

0.9967

 

Langmuir-Freundlich Isotherm

qm

592.66

268.18

944.91

1149.78

B

0.2218

0.4603

0.1860

0.0967

1/n

1.1116

1.2118

1.1309

1.0004

R2

0.9996

 

0.9980

 

0.9974

 

0.9984

 

Generalized Langmuir- Freundlich Isotherm

qm

594.04

268.11

1189.48

1178.61

B

0.2572

0.5274

0.0920

0.0932

1/n

1.1111

1.2119

0.9944

0.9960

R2

0.9996

 

0.9980

 

0.9984

 

0.9988

 

New model (GK1)

qm

1162.25

461.22

4227.41

637.23

K

0.0965

0.2003

0.0351

0.1732

R2

0.9992

 

0.9970

 

0.9974

 

0.9984

 

New model (GK2)

K

130.13

98.83

181.54

503.73

B

0.2191

0.1831

0.2465

3.9831

N

0.0289

0.0621

0.0075

0.5045

R2

0.9990

 

0.9963

 

0.9973

 

0.9985

 

 

 

 

 

 

The sorption isotherm parameters of all models are illustrated in Tables (5 and 6). The results indicated that all tested models accurately fitted the sorption data where the determination coefficient (R2) was more than 0.99. The sorption capacity was in the order of Pb>Ni>Cd >Co for both soils. Also, the ability of used soils was in the order of sandy loam soil> sandy soil where the average sorption percent was 82.52 and 75.10%, respectively (Maftouh et al., 2023)

The results indicated that sandy loam soil has a high affinity for heavy metals (Pb2+, Ni2+, Cd2+, and Co2+) sorption comparable with sandy soil. Sandy loam soil is high in surface area and has negative surface charge density (Lehmann, 2006). These properties increase the capacity of the soil to hold nutrients and become more stable. The new model (GK, two-parameters model) proved to be more accurate and stable for describing the sorption of heavy metals on the soil.For sandy soil and sandy loam soil, respectively, the distribution coefficients (Figure 9) calculated from the linear component of the sorption isotherm ranged from 44.65 to 95.42 L/kg and 83.82 to 178.73 L/kg. According to their Kd values, or affinities for the soil, metals can be grouped in the following relative order: Pb>Ni>Cd>Co. Figure(9). Soares et al.(2021) illustrate how this broad sequence tends to change slightly for various soil types.

 

 

Figure (9). Affinities of heavy metals to two types of soil

 

In the recent study, the observed sequence of heavy metals was Pb> Ni>Cd>Co. This general sequence tends to compatible with ionic radii Pb(202 pm)> Ni(163 pm)>Cd (158 pm) > Co(126 pm) or with the sequence of electronegativity Pb(2.33)>Ni(1.91)> Co(1.88)>Cd (1.69). The present results are in agreement with Abd-Elfattah and Wada (1981) as reported that most of the observed sequences are not correlated either with the sequence of ionic radii, which is Pb (1.20) > Cd (0.97) >Cr (0.75) >Zn (0.74) > Cu (0.72) > Ni (0.69) A° or with the sequence of electronegativity given by Cu (1.9) > Pb (1.8) = Ni (1.8) > Cd (1.7) > Zn (1.6).

Soil Heavy metals are primarily sorbed to soil particles. Adsorbed heavy metals can dissolve in soil water, where they can then travel into plants, and lower soil layers, or groundwater. A distribution coefficient, which is the ratio of the metal concentration in the solid phase to that in the liquid phase at equilibrium, can be used to model the heavy metals' mobility in soil (Anderson et al., 1988; Khater, 2007). From the slopes of the adsorption isotherms, distribution coefficients can be calculated.

The sorption greatly affects the metal's bioavailability, or how much of it can be absorbed by plant roots and how far it can go in the soil profile. The most mobile metals being studied right now are those with low distribution coefficient values, like Co. The degree of precision obtained from adsorption operations is significantly influenced by the performance of adsorption isotherm modeling and interpretation.

As a result of its broad applicability to a variety of adsorption data, linear regression has been used frequently to assess the goodness of fits and performance. However, nonlinear regression analysis has also been used extensively by many researchers to bridge the gap between predicted and experimental data. As a result, it is important to recognize and explain the value of both linear and nonlinear regression analysis in distinct adsorption systems.

 

 

Performance evaluation of sorption models

The statistical description of the goodness of fit is illustrated in Tables (7 and 8). It can be concluded that all isotherm models used in the present study are good for describing the sorption process of heavy metals, but both the Generalized Langmuir-Freundlich and the new model (GK2) were more suitable than other isotherm models. 

 

Table (7). The goodness of fit techniques for tested sorption isotherm models of sandy soil

 

Isotherm Models

Element

RMSE

AAE

d

NRMSE%

Linear

Cd

1.1816

2.3880

0.9983

2.38

Co

1.2138

2.6196

0.9975

2.94

Ni

3.0493

6.6898

0.9970

3.66

Pb

2.1890

 

4.6966

 

0.9984

 

2.23

 

Freundlich

Cd

1.1601

2.4574

0.9984

2.34

Co

0.3573

 

0.7018

 

0.9998

 

0.86

 

Ni

0.6216

 

1.0311

 

0.9999

 

0.75

 

Pb

1.2026

 

2.5221

 

0.9995

 

1.20

 

Langmuir

Cd

1.4182

 

2.5458

 

0.9975

 

2.86

 

Co

0.2077

 

0.3907

 

0.9999

 

0.50

 

Ni

1.1832

 

2.0091

 

0.9995

 

1.42

 

Pb

1.1900

 

2.5422

 

0.9995

 

1.19

 

Langmuir-Freundlich

Cd

1.2511

 

2.7092

 

0.9982

 

2.52

 

Co

0.2827

 

0.5550

 

0.9999

 

0.82

 

Ni

0.7098

 

1.1851

 

0.9998

 

0.85

 

Pb

1.1677

 

2.5043

 

0.9995

 

1.17

 

Generalized

Langmuir- Freundlich

Cd

1.4488

 

0.2070

 

0.9975

 

2.92

 

Co

0.2072

 

0.3953

 

0.9999

 

0.50

 

Ni

1.1974

2.2827

0.9995

 

1.44

 

Pb

1.1701

2.5173

0.9995

 

1.17

 

A new model (GK1)

Cd

1.2653

 

2.4579

 

0.9981

 

2.55

 

Co

0.2028

 

0.3653

 

0.9999

 

0.49

 

Ni

1.2201

 

2.0598

 

0.9995

 

1.46

 

Pb

1.2026

 

2.5622

 

0.9995

 

1.20

 

A new model (GK2)

Cd

1.1815

2.3886

0.9983

 

2.38

 

Co

0.2041

0.3512

0.9999

 

0.49

 

Ni

0.6216

1.0299

0.9999

 

0.75

 

Pb

1.1519

2.4952

0.9995

 

1.15

 

 

 

 

Table (8). The goodness of fit techniques for tested sorption isotherm models of sandy loam soil

 

Isotherm Models

Element

 

RMSE

AAE

d

NRMSE

%

Linear

Cd

0.7602

 

1.5142

 

0.9996

 

1.34

 

Co

1.1650

 

2.5353

 

0.9985

 

2.39

 

Ni

1.8874

 

5.3160

 

0.9988

 

2.65

 

Pb

0.7437

 

0.7437

 

0.9999

 

0.90

 

Freundlich

Cd

0.6835

 

1.3861

 

0.9997

 

1.20

 

Co

1.0034

 

1.9945

 

0.9988

 

2.06

 

Ni

3.0460

 

4.6495

 

0.9920

 

3.66

 

Pb

0.8000

 

1.5620

 

0.9997

 

0.96

 

Langmuir

Cd

0.6104

 

1.0691

 

0.9997

 

1.08

 

Co

0.8984

 

1.6158

 

0.9991

 

1.84

 

Ni

1.5959

 

3.5876

 

0.9991

 

1.92

 

Pb

2.0663

 

4.1026

 

0.9989

 

2.49

 

Langmuir-Freundlich

Cd

0.5924

 

1.0906

 

0.9998

 

1.04

 

Co

0.9434

 

1.8749

 

0.9990

 

1.94

 

Ni

2.6701

 

4.2955

 

0.9975

 

3.21

 

Pb

1.1124

 

2.1495

 

0.9993

 

1.11

 

Generalized

Langmuir- Freundlich

Cd

0.4715

0.8312

0.9998

 

0.83

 

Co

0.7406

1.2815

0.9995

 

1.52

 

Ni

1.1852

2.5267

0.9995

 

1.19

 

Pb

1.1860

2.5520

0.9995

 

1.19

 

A new model (GK1)

Cd

0.6103

 

1.0488

 

0.9997

 

1.08

 

Co

0.8926

 

1.6455

 

0.9991

 

1.83

 

Ni

1.4714

 

3.1086

 

0.9992

 

1.77

 

Pb

1.2029

 

2.5584

 

0.9995

 

1.20

 

A new model (GK2)

Cd

0.6826

1.3797

0.9997

 

1.20

 

Co

1.0030

2.0086

0.9988

 

2.06

 

Ni

1.4751

3.0906

0.9992

 

1.77

 

Pb

1.1513

2.4952

0.9995

 

1.15

 

 

Adsorption is one technique that has been used to describe the transport of pollutants in an aqueous medium and the subsequent creation of containment measures (Ayawei et al., 2005; Shooto et al., 2016; Yang, 2021)

The most crucial piece of knowledge required to fully comprehend an adsorption process is information on adsorption equilibrium.   

From this study of the Cd, Co, Ni, and Pb adsorption rates by various soils, the results indicate that the equilibrium condition occurred within 2-5 hours. The adsorption isotherms can satisfactorily be described by both the Generalized Langmuir-Freundlich and newly proposed models. Sandy loam soil displayed the highest adsorption capacity, while sandy soil provided the lowest adsorption capacity. Almost all soils showed adsorption capacity in the order of Pb>Ni>Cd>Co. The adsorption capacity depends significantly upon the specific surface area of the soil.

 

CONCLUSION

The current results are very useful in the industrial wastewater infiltration in the soil profile and into the groundwater. The behavior of heavy metals sorption in soil was studied by some sorption isotherm models, which have stated that monolayer adsorption was predominant in these soils. Also, sandy loam soil was found to have more sorption capacity than sandy soil. Also, the present study recommends future studies are needed to verify the competitive mechanism of heavy metals sorption correlated to the soil characteristic parameters.

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