Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater

Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater

Journal Pre-proof Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater Md. Abul Hashem, Mehedi Hasan, Md. Abdul Momen, Sof...

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Journal Pre-proof Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater Md. Abul Hashem, Mehedi Hasan, Md. Abdul Momen, Sofia Payel, Md. Sharuk NurA-Tomal PII:

S2665-9727(20)30004-0

DOI:

https://doi.org/10.1016/j.indic.2020.100022

Reference:

INDIC 100022

To appear in:

Environmental and Sustainability Indicators

Received Date: 8 November 2019 Revised Date:

6 January 2020

Accepted Date: 15 January 2020

Please cite this article as: Hashem, M.A., Hasan, M., Momen, M.A., Payel, S., Nur-A-Tomal, M.S., Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater, Environmental and Sustainability Indicators, https://doi.org/10.1016/j.indic.2020.100022. This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. © 2020 The Author(s). Published by Elsevier Inc.

Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater Md. Abul Hashem*, Mehedi Hasan, Md. Abdul Momen, Sofia Payel, Md. Sharuk Nur-A-Tomal Department of Leather Engineering, Khulna University of Engineering & Technology (KUET), Khulna-9203, Bangladesh

Corresponding author

: Dr. Md. Abul Hashem Associate Professor Department of Leather engineering Khulna University of Engineering & Technology Khulna-9203, Bangladesh Tel.: +88 041 774344; Fax: +88 041 774403 E-mail address: [email protected], [email protected]

1

Water hyacinth biochar for trivalent chromium adsorption from tannery wastewater

1 2 3 4

Abstract

5

This investigation studied the utilization of water hyacinth (Eichhornia crassipes) as biochar for

6

adsorption of trivalent chromium ion. The prepared biochar has been characterized by Fourier

7

transforms infrared spectroscopy (FTIR) before and after the experiment. The trivalent chromium ion

8

adsorption efficacy on biochar was investigated considering parameters e.g., adsorbent dose,

9

interaction time, and relative pH. In the batch-wise treatment process, 70 mL chromium loaded

10

tannery wastewater was treated with prepared biochar as adsorbent, shaken for a fixed period, rested,

11

and the chromium, as well as pollution load, was measured. Chromium content in the untreated

12

wastewater and treated wastewater at optimized conditions was 3190.1 and 27.3 mg/L, respectively.

13

The chromium ion adsorption on biochar was 99%. The chloride, biochemical oxygen demand

14

(BOD), and chemical oxygen demand (COD) reduction were by 56%, 93.4%, and 92.6%,

15

respectively. The use of aquatic weed Eichhornia crassipes as biochar could be a novel economical

16

alternative to adsorb trivalent chromium ion from the tannery wastewater.

17 18

Keywords: Chromium; Biochar; Tannery; Biochemical Oxygen Demand; Chemical Oxygen Demand

19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

1

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1. Introduction

38

Conserving the environment has become a major critical issue in developing the industrial sector. The

39

abundant biomass available in the environment is being tried to utilize in producing the value-added

40

product or as remediation. The water hyacinth (Eichhornia crassipes) is a floating aquatic weed

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abundantly available in the tropical and sub-tropical areas growing on the water surface. Recently,

42

hyacinth has been listed as one of the 100 most intrusive exotic species in the world (Jafari, 2010).

43

The water hyacinth germinates during the summer season and the hibernation time of the seeds are up

44

to 20 years (Lubovich, 2009). Studies show that hyacinth diffusion requires a 12-day time period to

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reproduce the population with an 8% increase (APIRIS, 2005). In most tropical and sub-tropical

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countries, the infestation of Eichhornia crassipes is a serious problem due to their rapid adaptability

47

(Van Driesche et al. 2002). This huge biomass obstructs the surface water flow, hydraulic turbine and

48

irrigation channel.

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Chromium is discharged into the aquatic environment from anthropogenic sources like tannery

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industries, metal finishing industries, electroplating, and so on. The contamination of water, soil or

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sediment with chromium is a major significant concern for the environment because of the possibility

52

of entering into the food chain.

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Tanning agent, basic chromium sulfate is used by 90% tanning industries (Arabindha et al. 2004)

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where only 60% chromium penetrates the pickled pelt and the rest of the 40% chromium is discharged

55

with the wastewater (Fabiani et al. 1997). Hashem et al. (2015) showed that the amount of chromium

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in the discharged chrome tanning wastewater ranged between 2656-5420 mg/L. The universal

57

oxidative states of chromium are trivalent and hexavalent. Levis et al. (1978) reported that within the

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cell Cr(III) unites to nucleotide bases in DNA to provide genotoxic effects. A group of researchers (El-

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Shahawi et al. 2008) showed the kinetic transformation of chromium from trivalent to hexavalent is

60

fast even in the presence of mild oxidants. Hexavalent chromium, Cr(VI) is extremely virulent and

61

may cause contact dermatitis on the skin and act as a trigger for many ailments (Bulut et al. 2009).

62

Several types of research have been tried to remove hexavalent chromium using Annona reticulate

63

Linn peel microparticles (Saranya et al. 2017), mixed-culture of bacteria (Molokwane et al. 2008),

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metal oxide photocatalysts (Cheng et al. 2015) and some studies like eggshell and powdered marble

65

(Elabbas et al. 2016), charcoal of bone (Dahbi et al. 2002), nano carbonate-hydroxylapatite (Tang et

66

al. 2013), three-phase three-dimensional electrode reactor (Grace Pavithra et al. 2017), nano spherical

67

shell necklaces (Azzam et al. 2017) have been carried out as an attempt to remove Cr(III) from

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aqueous solution. Most of these techniques are developed for homogenous tannery wastewater

69

treatment and rather complex procedures for industrial applications.

70

In many countries, chromium content in the spent chrome is strictly regulated e.g., the discharge level

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of chromium is 2 mg/L for Bangladesh (ECR 1997). Therefore, chromium removal from various

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industrial wastewater especially tannery wastewater is an important issue for environmental

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protection. 2

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Recently, the application of a biological substance to remove metal especially heavy metals from the

75

contaminated wastewater has become a popular emerging technique. In this technique, biomass

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accumulates heavy metals from the wastewater through the physicochemical pathway (Hossain et al.

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2012). Prabu et al. (2012) stated that the adsorption process has some benefits: i) a substantial amount

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of energy saving, ii) short time process, iii) inexpensive, and iv) available widely. However, in the

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adsorption process, some essential parameters have to be controlled.

80

The water hyacinth has been tried for biogas (Barua and Kalamdhad, 2019), biodiesel (Alagu et al.

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2019), removal of Cr(III) (Kelley et al. 2000) and so on. But it has yet to try in tannery wastewater as

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an adsorbent. Considering the availability of the hyacinth in Bangladesh, water hyacinth could be an

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economical adsorbent to utilize in over 187 tanneries (EPB, 2014) in Bangladesh.

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This investigation studied the effectiveness of Eichhornia crassipes biochar to remove pollution from

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tannery wastewater, especially chromium, without any conditioning. Several parameters like

86

adsorbent load, interaction time, and relative pH were studied with the kinetics and thermodynamic

87

study of the process.

88 89

2. Materials and Methodology

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2.1 Wastewater collection

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Chromium-containing wastewater was collected from the SAF Leather Industries Ltd., Jessore,

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Bangladesh. The wastewater was collected into a polyethylene container, pre-washed with diluted

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nitric acid, and immediately transported to the laboratory for the experiment.

94 95

2.2 Adsorbent preparation

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Green Eichhornia crassipes was collected from a nearby pond of the university campus, Khulna

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University of Engineering & Technology, Khulna, Bangladesh. The root of the Eichhornia

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crassipes was removed and the forepart was dried at the open air. Dried Eichhornia crassipes was

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burnt at 475-500°C assuring an inert environment in a muffle furnace for 2 h. The burnt Eichhornia

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crassipes was cooled in desiccator, ground, sieved with 80-mesh and stored for further experiment.

101 102

2.3 Reagents

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The required reagents perchloric acid (HClO4) (Merck, India), concentrated nitric acid (HNO3)

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(Merck KGaA, Germany), sulphuric acid (H2SO4) (Merck KGaA, Germany), glass beads (Loba

105

Chemie, India), ferrous-ammonium sulfate (Merck, India), N-phynylanthralinic acid (Merck, India)

106

were obtained from local scientific store, Khulna, Bangladesh.

107 108

2.4 FTIR study of adsorbent

109

The Fourier transform infrared spectroscopy (FTIR) study of pure adsorbent and chromium-loaded

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adsorbent was carried out to find the relative functional group from the adsorption spectrum. The 3

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Fourier transform infrared spectrometer (FTIR 1600, Perkin-Elmer) data spectrum was recorded

112

between 400 and 4000 cm–1 wavelength.

113 114

2.5 Laboratory analysis

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The physicochemical analysis of wastewater was carried out regarding pH, electrical conductivity

116

(EC), chloride content, salinity, total dissolved solids (TDS), biochemical oxygen demand for 5 days

117

(BOD5), chemical oxygen demand (COD) and total suspended solids (TSS). The pH was determined

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by using the calibrated pH meter (UPH-314, UNILAB, USA). The TS, TSS, and TDS of the initial

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and treated wastewater were carried out following APHA-2540 D method. The EC and salinity of the

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were measured with the conductivity meter (CT-676, BOECO, Germany). The BOD5 and COD values

121

were determined following the APHA standard method 5210 B and 5220 C (APHA 2012),

122

respectively. Chloride content was determined following the Mohr method. Triplicate measurement

123

was done for each analysis/measurement.

124 125

2.6 Chromium determination

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The official analytical methods of the Society of Leather Technologist and Chemists (SLTC 1996)

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was followed for chromium (Cr) determination. A 25 mL sample was taken in an Erlenmeyer flask

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(250 mL) and mixed with HNO3 (15 mL) followed by HClO4/H2SO4 mixture (15 mL). Then, the

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mixture was gently boiled until a pure orange-red colour; boiling was continued for one more minute.

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After that, the flask was removed from the heating source and rapidly cooled by whirling in a cold

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water bath. Subsequently, 75 mL distilled water was carefully added with a few glass beads (anti-

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bumping granules) and boiled for 10 min to remove any presence of free chlorine. Slowly, 10 mL

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30% H2SO4 was added and the mixture was cooled at 20°C. The solution was titrated with freshly

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prepared 0.1N ferrous ammonium sulfate where N-phenyl anthranilic acid was used as an indicator.

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The end colour was indicated by a colour change from the violet to green. Finally, the Cr was

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calculated.

137 138

2.7 Treatment of spent chrome wastewater

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The treatment of chromium wastewater by Eichhornia crassipes biochar was performed by following

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the batch operation starting with the raw wastewater filtered through the filter paper (0.45 µm pore

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size). Then, 70 mL permeate liquor was added with Eichhornia crassipes biochar; stirred for a fixed

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period and allowed for settling. After settlement, the mixture was filtered through a filter paper (0.45

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µm pore size) and chromium content measurement was performed following the official methods of

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SLTC 1996. The schematic flow diagram is shown in Fig. 1.

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2.7.1 Optimization process

4

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The maximum removal efficiency was found from the optimization of the treatment process. The

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batch-wise test was made on the chromium removal parameters: adsorbent load, relative pH, and

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interaction time. The parameters were optimized examining chromium removal efficiency.

150 151

2.8 Kinetics analysis

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Adsorption kinetics causes the adsorption process rate. Adsorption mechanism depends on the

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physicochemical properties of adsorbent. Pseudo-first-order, as well as the pseudo-second-order

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adsorption kinetics model was considered. Pseudo-first order model can be written as:

ln(Qe − Q t ) = lnQe − K1t...(i)

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Equation (i) can be expressed by rearranging ln

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Qe − Qt = − K 1 t...(ii) Qe

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At equilibrium condition in the pseudo-first-order kinetics, Qe is the adsorbent quantity (mg/g) at time

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t (min) with the equilibrium constant K1 (min-1).

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The pseudo-second-order model was analyzed based on the following equation (iii): t

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Qt

162

=

1 K 2Qe 2

+

t Qe

...(iii)

By rearranging the equation (iii) can be written Qt

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Qe − Q t

= K 2Q e t...(iv)

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In the equation (iv), K2 is the equilibrium constant for per mg adsorbent per min of time (t).

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2.9 Isotherm analysis

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The interaction of adsorbent with the adsorbate is termed as adsorption isotherm. It is a key parameter

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to determine the adsorbent efficiency and enhancing adsorbent consumption. In this report, Langmuir

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and Freundlich isotherm to analyze the adsorbent characteristics of Eichhornia crassipes biochar.

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Langmuir model estimates the adsorption onto the solid surface uniformly. Also, it gives unitary layer

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adsorption in the analogous sites and the homogenous structure of adsorbent (Gimbert et al. 2008).

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Langmuir isotherm implies the following equation:

172

173

Qe =

Q m K LCe 1 + K LCe

By rearranging the equation (v) can be written: 5

...(v)

1

174

Qe

=

1 Ce

×

1 Qm K L

+

1 Qm

...(vi)

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In the equation (vi), at an equilibrium condition adsorbed chromium content in the unit of mg/g is Qe

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and Ce is the mg amount of chromium in per liter of solution. The maximum adsorption capacity of

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biochar is symbolized by Qm (mg/g) and Langmuir constant, KL (L/g) which is associated with the

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free energy of adsorption. Also, the data were investigated with the Freundlich isotherm model. The

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logarithmic equation of Freundlich isotherm can be stated as: 1 n

Q e = K f Ce ...(vii)

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Equation (vii) can be written as: lnQe = ln K f +

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1 n

lnCe ...(viii)

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In the equation (viii), Kf is the Freundlich adsorption constant, which shows the adsorption capacity of

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Eichhornia crassipes biochar, and the relation between the adsorbate and adsorbent is represented by

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constant n.

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3. Results and Discussion

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3.1 FTIR analysis

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Fig. 2 represents the FTIR analysis of the pure and Cr loaded biochar dictating a fluctuation of the

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peak intensity. The shift indicates the alteration of frequency in the functional groups of the biochar

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due to the adsorption of chromium. A significant band shift in the region of 500 to 1500 cm-1 is due to

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hydroxyl groups of phenols present on the adsorbent surface (Saranya et al. 2017). The wavelength

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was shifted from around 1600 cm-1 to 1787 cm-1 due to the N-H bending vibration of amide groups.

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The distinctive band of C–N was shifted at the peak maximum 1184 to 1205 cm-1 showing its

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involvement in adsorption. The strong, sharp change in intensity from 3500-3700 cm-1 region

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indicates the involvement of O-H stretching vibration. The disappearance of the peak at 1828 cm-1 is

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due to the adsorption of Cr(III) by stretching of C=O functional group. The analysis indicates various

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responsible functional groups e.g., O-H, C=O, N-H for the adsorption of chromium by Eichhornia

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crassipes biochar.

200 201

3.2 Adsorbent dose and solution pH

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Adsorbent dose and pH are the most critical factors that have a substantial effect on the chromium

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eradication in the treatment procedure. The effect of adsorbent dose and solution pH fluctuation on

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chromium removal efficiency are depicted in Fig. 3 and Fig. 4 respectively. In real chrome tanning

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wastewater, initial chromium concentration was 3190.1 mg/L. The number of adsorbent dose (1 g to 5 6

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g per 70 mL wastewater) and 15 min were kept constant for interaction time. Fig. 3 implies that with

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increasing the adsorbent dose chromium adsorption efficiency was increased. The chromium removal

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efficiency was 99% at an adsorbent dose of 4 g for 70 mL of wastewater. Subsequently, the chromium

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adsorption capacity was somewhat increased with increasing the adsorbent dose.

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Fig. 4 expresses the effect of solution pH on chromium removal efficiency. It can be seen that the

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removal efficiency was increased with increasing the solution pH up to pH 7.7. There was a negligible

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change in chromium removal efficiency up to pH 8.3. After that, the system was reached an

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equilibrium condition. During adsorption of chromium on biochar, pH is accountable for the

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promotion of the metal-binding site, especially chromium. Chonjacka (2005) showed that at higher

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pH the hydrolysis adsorption occurs and chromium is precipitated as insoluble colloidal chromium

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hydroxide. Supporting this remark, the experiment also showed that at higher pH, chromium removal

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was more than it was at lower pH. Therefore, it was projected that at 4 g adsorbent dose for 70 mL

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wastewater, maximum chromium was removed with the relative pH 8.2. It also explained that

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Eichhornia crassipes biochar was an action of solution pH.

220 221

3.3 Interaction time

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Interaction time is another essential parameter for chromium adsorption. Fig. 5 depicts the chromium

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removal efficiency on interaction time. Batch wise treatment of chromium removal efficacy for 5, 10

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and 15 min was 98.5%, 99.8%, and 99.8%, respectively and at 20 and 25 min, the removal efficiency

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was unchanged. The metal adsorption achieved with long time duration and higher chance to form

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metal hydroxide especially, chromium hydroxide. Fig. 5 implies that chromium adsorption capacity

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was enhanced with the increasing contact time. It appears that after a period of time e.g., 10 min,

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chromium adsorption reached a steady-state (99.8%). Afterwards, the chromium adsorption capacity

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was removal efficiency was constant. Hence, it was assumed that the maximal chromium adsorption

230

occurred at 10 min.

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3.4 Treatment process efficiency

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The results of the investigation at optimized conditions represent in Table 1. After all stages of

234

treatments, the obtained physicochemical parameters pH, TDS, EC, salinity, chromium, BOD, COD,

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and chloride were 8.3, 48.9 g/L, 80.5 mS, 50.0 ppt, 27.33 mg/L, 239 mg/L, 387 mg/L, and 8366.6

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mg/L, respectively. The maximum chrome removal efficiency was 99.14%. The pH seemed within

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the discharge level after treatment although other parameters e.g. TDS, EC, and salinity were

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somewhat bigger. The chloride, BOD, and COD reduction were 56%, 93.4%, and 92.6%,

239

respectively.

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The comparison with the previous studies is depicted in Table 2. In this present study, comparatively

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less interaction time was required than previous studies to obtain maximum chromium removal

7

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efficiency. The Eichhornia crassipes biochar is a better choice for pollution removal from tannery

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wastewater.

244 245

3.5 Adsorption kinetics analysis

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Fig. 6 represents the pseudo-first-order and pseudo-second-order adsorption kinetics with their

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correlation coefficient values (R12= 0.9273, R22=0.8242). It suggests that the pseudo-first-order

248

kinetics can explain the adsorption of chromium ion on biochar, as the graph of ln{(Qe-Qt)/Qe,} vs.

249

time t shows a good linear fit (R12= 0.9273) as illustrated in Fig. 6(a). Whereas pseudo-second-order

250

cannot describe a good linear fit (R22=0.8242) as interpreted in Fig. 6(b). The pseudo-first-order

251

equation suggested that the adsorption method follows first-order adsorption kinetic. The ratio of

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adsorption is related to the number of unoccupied sites of biochar. The range of slope is a measure of

253

adsorption intensity between zero (0) and one (1) which indicates more heterogeneous character as its

254

value gets closer to zero.

255 256

3.6 Adsorption Isotherm analysis

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Fig. 7(a) and 7(b) show that the obtained correlation coefficient values were R12=0.9159 and

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R22=0.9784, respectively. These values indicate that Freundlich isotherm is more suitable than

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Langmuir for chromium adsorption by Eichhornia crassipes biochar from tannery wastewater. The

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value of 1/n from the Freundlich model was 3.15>1, which specifies the favourable adsorption

261

conditions for Eichhornia crassipes biochar and adsorption will physical process at multi-layer

262

adsorption on the heterogeneous surface.

263 264

3.7 Adsorbent selection

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According to Barrett (Barrett, 1989), 25 plants of water hyacinth can cover 10,000 m2 of water surface

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during the growing season with about two million which weighs almost like a fully loaded jumbo jet.

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In enclosed or slow current water, colonies can amalgamate to form two-meter thick of continuous

268

mats of living and decaying organic material. The mats of water hyacinth fill reservoirs, spoiling

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water resources, infest rivers, dam drainage channels. The mats indirectly deplete the water supply’s

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dissolved oxygen, thereby asphyxiating fish and phytoplankton.

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The huge growth rate of water hyacinth causes a problem for the water surface which ensures its

272

availability for biochar production. Moreover, the utilization of water hyacinth will reduce the

273

problems and ensure clean water body.

274 275

4. Conclusions

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The full body of the wasteful aquatic weed, Eichhornia crassipes was utilized to produced biochar. In

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a batch-wise laboratory experiment, chrome tanning wastewater was treated with hyacinth biochar to

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remove chromium from chrome tanning wastewater through adsorption. The removal efficiency of 8

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chromium found at an optimized condition was 99%. The reduction of chloride, BOD, and COD were

280

56%, 93.4% and 92.6%, respectively although other parameters were slightly increased. The

281

investigation directs that Eichornia crassipes biochar gives a promising result as an effective

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adsorbent to remove chromium that will minimize pollution load from the tannery industry. The study

283

could be a better option to utilize Eichornia crassipes biochar for treatment of spent chrome liquor in

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the house prior to discharge.

285 286

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11

Table Table I. Data comparison between raw sample and treated sample

Table I. Data comparison between raw sample and treated sample Parameters Raw sample This study MoEF (1997) Unit pH 3.6±0.3 8.3±0.1 6–9 TDS 44.3±0.6 48.9±0.2 2100 g/L EC 73.7±0.7 80.5±0.4 1.20 mS Salinity 44.9±0.5 50.0±0.6 – ppt Cr 3190.12±0.7 27.33±0.4 2.0 mg/L Chloride 19015±0.4 8366.6±0.2 600 mg/L BOD 3621±34 239±19.3 250 mg/L COD 5213±43 387±7.2 400 mg/L

20

Table II. Comparison with the previous study Table II. Comparison with the previous study Previous study Cr removal (%) Dahbi et al. 2002 90 Aravindhan et al. 2004 83 Elabbas et al. 2015 99 Elabbas et al. 2015 99 This study 99

21

Interaction time 30 min 6h 840 min 30 min 15 min

Figure Captions Fig. 1 Schematic diagram for the chromium removal treatment process Fig. 2 FT-IR spectrum of pure water hyacinth biochar and chromium loaded biochar Fig. 3 Batch wise chromium removal efficiency with different adsorbent dose: 1 g, 2 g, 3 g, 4 g, and 5 g; each batch 70 mL wastewater with 15 min interaction time Fig. 4 Batch wise chromium removal efficiency at different solution pH Fig. 5 Batch wise chromium removal efficiency on different interaction time: 5, 10, 15, 20, and 25 min; each batch 70 mL wastewater with 4 g charcoal Fig. 6 Pseudo-first-order (a) and pseudo-second- order (b) kinetics of adsorption Fig. 7 Linearized adsorption isotherms Langmuir (a) and Freundlich (b)

12

Figure 1

Wastewater collection Physicochemical analysis and filtration Filtrate mixed with prepared biochar Stirring and allowed for settling Filtration and physicochemical analysis

13

Figure 2

80

Transmittance (%)

75

70

65 Pure biochar Cr-loaded biochar

60 4000 3600 3200 2800 2400 2000 1600 1200 800 -1

Wavenumber (cm )

14

400

Figure 3

Chromium removal (%)

100

80

60

40

20

0 1

2

3

4

Adsorbent dose (g/70 mL wastewater)

15

5

Figure 4

Chromium removal (%)

100

80

60

40

20

0 5.9

6.2

6.5

6.8

7.1

7.4

Solution pH

16

7.7

8.0

8.3

Figure 5

Chromium removal (%)

100

98

96

94

92

90 5

10

15

20

Interaction time (min)

17

25

Figure 6

-4.8

1st Order

(a)

-5.6 y=-0.0534x-5.3314 ln{(Qe-Qt)/Qe}

2

R1 =0.9273 -6.4

-7.2

-8.0

-8.8 0

6

12

18

24

30

36

42

48

54

60

Contact time (min)

20

2nd Order

(b)

16

{Qt/(Qe-Qt)}

y=-0.2896x+16.3807 2

R2 =0.8242

12 8 4 0 0

10

20

30

40

Contact time (min)

18

50

60

Figure 7

10

Freunlich

(a)

8

y=1.9327x+2.6723 2

lnQe

R2 =0.9784 6

4

2 0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

lnCe

1.5

Langmuir

(b)

y=759.2664x-0.4211

1.2

2

R1 =0.9187

1/Qe

0.9 0.6 0.3 0.0 0.0004

0.0008

0.0012 1/Ce

19

0.0016

0.0020

0.0024