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ORIGINAL ARTICLE
12 (
8
); 3263-3288
doi:
10.1016/j.arabjc.2015.08.025

Bacteria immobilization on neem leaves/MnFe2O4 composite surface for removal of As(III) and As(V) from wastewater

Department of Chemical Engineering, Indian Institute of Technology, Roorkee, Roorkee 247667, India

⁎Corresponding author. Tel.: +91 133 2286651. mou.chem11@gmail.com (M.S. Podder),

Disclaimer:
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.

Peer review under responsibility of King Saud University.

Abstract

Selected bacterial strain Corynebacterium glutamicum MTCC 2745 was immobilized on the surface of neem leaves/MnFe2O4 composite (NL/MnFe2O4 composite). The uptake of the biosorbent in combination with the bacterial strain to act as arsenic scavengers from synthetically prepared wastewater was evaluated. The influence of contact time and temperature on the removal of both As(III) and As(V) was investigated. The effect of temperature and initial concentration on the adsorption kinetics was also examined. The equilibrium was achieved after about 240 min at a temperature of 30 °C. Nonlinear regression analysis was done for determining the best-fit kinetic model on the basis of three correlation coefficients and three error functions and also for predicting the parameters involved in kinetic models. The results showed that Fractal-like mixed 1, 2 order model for As(III) and Brouser–Weron–Sototlongo as well as Fractal-like pseudo second order models for As(V) were capable to deliver realistic explanation of biosorption/bioaccumulation kinetic. The adsorption kinetics data also followed pseudo second order kinetic model proposing chemisorption nature of the process. Intraparticle diffusion model confirmed that intraparticle was not a fully operative mechanism. Applicability of various mechanistic models in the present study showed that the rate controlling step in the biosorption/bioaccumulation of both As(III) and As(V) was film diffusion rather than intraparticle diffusion. The estimated thermodynamic parameters ΔG0, ΔH0 and ΔS0 exposed that biosorption/bioaccumulation of both As(III) and As(V) was feasible, spontaneous and exothermic under studied conditions. The activation energy (Ea) calculated from Arrhenius equation indicated the nature of biosorption/bioaccumulation being ion exchange type. Increasing concentration of As(III) and As(V) furthermore improved the initial sorption rate h, from 3.91 to 343.54 mg/g min and 4.3 to 550.67 mg/g min, respectively. Spectroscopic studies (Fe-SEM and FT-IR) confirmed that ion exchange process was responsible for the uptake of arsenic (As(III) or As(V)) onto immobilized cells.

Keywords

Arsenic
Simultaneous biosorption and bioaccumulation
Wastewater
Kinetic
Mechanistic
Thermodynamic

Nomenclature

C0

initial concentration of arsenic in the solution (mg/L)

Ce

equilibrium concentration of arsenic in the solution (mg/L)

M

mass of biosorbent used (g)

qt

the amount of adsorbate adsorbed onto the adsorbent surface at time t (mg/g)

Re

% removal

V

the volume of the solution (mL)

1

1 Introduction

Arsenic (As) is the most common, naturally occurring element found in the earth’s crust (Mohan and Pittman, 2007). It is ubiquitous element in natural and groundwater, air and soil in variable concentration. Maximum environmental arsenic problems are the consequence of corrosion, dissolution of minerals, rocks and ores and microbial activity of these natural sources depending on the pH. However, agricultural and mining activities and industrial processes, such as smelting, use of arsenic herbicides, crop desiccants, and pesticides, petroleum refining, and combustion of fossil fuels are also for the arsenic contamination of ground and surface water (Mondal et al., 2006; Mohan and Pittman, 2007). Two predominating species exist in natural waters are inorganic forms of arsenic viz., As(III) and As(V) (Smedley and Kinniburgh, 2002). Short-term arsenic intake by humans may cause chronic intoxication owing to its accumulation within humans and lead to gastrointestinal, cardiovascular, mutagenic effects and long-term drinking water exposure may cause skin lesions, pigmentation changes and subsequently neurological disorders, and nausea and lung, liver, kidney cancers, etc (WHO, 1981; Jain and Ali, 2000; NRC, 2001). Because of the severe impacts of arsenic on people’s health, the maximum contaminant level (MCL) of arsenic in drinking water has been revised to 10 μg/L from 50 μg/L by the World Health Organization (WHO) in 1993 (WHO, 1993) and the European Commission in 2003 (European Commission Directive, 98/83/EC, 1998).

Physico-chemical methods, such as oxidation/precipitation, ion exchange, adsorption, electrocoagulation, and membrane techniques (Mohan and Pittman, 2007) have their individual benefits along with disadvantages, for example high operating and maintenance cost, generating high toxic sludge and other waste products, membrane fouling and constant inspection of the ions’ concentration, inefficient removal of metal ions, and requirement of a pre-treatment step (Jang et al., 2006).

The rising concern with environmental contamination suggestively stimulates the exploration and expansion of harmless technologies. Biosorption is the sequestration of the metal ions to the cell membranes containing negative charges and polysaccharides secreted in most of the bacteria on the external surfaces via slime and formation of capsule. The mechanism of biosorption is complex, mainly ion exchange, chelation, adsorption by physical forces, complexation, microprecipitation, entrapment in inter and intrafibrillar capillaries and spaces of the structural polysaccharide network as a result of the concentration gradient and diffusion through cell walls and membranes (Duncan et al., 1994; Veglio’ and Beolchini, 1997).

Bioaccumulation is the retention and concentration of substances by a microorganism. The metals are transported from the external of the microbial cell via the cell membrane and then into the cell cytoplasm. Finally, inside the cell the metal is sequestered and becomes immobile (Losi et al., 1994). The bioaccumulation of heavy metal ions in living microorganisms is a multistage process. Generally, the multistage of bioaccumulation comprises biosorption followed by intra or extracellular accumulation of metal ions (Mishra, 2014). Many microorganisms are well-known to be capable of uptaking metal ions from aqueous phase and to accumulate them within their cell structure. The usage of bacteria as biosorbents is a rapidly developing arena in abating owing to their small size, ubiquity, ability to grow under organized conditions, and their resilience to an extensive range of environmental situations (Urrutia, 1997). On the other hand, free cells cannot be utilized for longer time because of their small particle size, their vulnerability to microbial degradation, mechanical instability and effort to separate from the aqueous medium because of comparatively low density.

To overcome these lacks in free cells, an immobilization process is accomplished to change the microbial biomass to a particulate form for utilization as a conventional adsorbent (Tsezos, 1988). As stated by Bailey et al. (Bailey et al., 1999), “an adsorbent can be considered as cheap or low cost if it is abundant in nature, requires little processing and is a byproduct of waste material from waste industry” (Wan Ngah and Hanafiah, 2008).

Biofilms can be well-defined as microorganisms communities attached to a surface (OĭToole et al., 2000; Le Cloirec et al., 2003). There are four possible motivations for the formation of biofilm: defense (shield from risky situations), colonization (formation of biofilm as a mechanism for remaining in a favorable position), community (use of cooperative profits), and default mode of growth. Bacteria devote the most of their normal presence growing as a biofilm. It is probable that the existence of an appropriate substrate for attachment is all that is important for prompting the formation of biofilm (Jefferson, 2004).

Biosorption/bioaccumulation can be carried out either by immobilized biomass or in suspension. The immobilization of living microbial cells on an appropriate adsorbent also enhances the removal efficiency (Mordocco et al., 1999). Literature reports that the use of immobilized biomass as a biosorbent has many benefits over the use of native biomass, such as (1) improving stability, mechanical strength, rigidity, porosity of microbial cell; (2) enhancing the overall metal ions removal capacity as well as lifetime of the biosorbent; (3) permitting the reutilization of biomass; and (4) escaping the requirement of biomass-liquid separation (Scott, 1987; Hu and Reeves, 1997; Wang and Chen, 2009). The immobilization of the biomass in solid structures would prepare a biosorbent material with the right size, mechanical strength, rigidity and porosity essential for the application in practical processes (Vijayaraghavan and Yun, 2007; Wang and Chen, 2009). Immobilized biomass also shows better potential in packed/fluidized bed reactors and continuous stirred tank reactors due to minimal clogging under continuous flow conditions in addition to effective biosorbent regeneration and metal recovery (Gadd, 1991).

Most of the researches have focused on either the biosorption of metal ion on the surface of non-living biomass or biosorption on the surface living microbial cells followed by intracellular and extracellular accumulation of metal ion (Yee and Fein, 2001; Velasquez and Dussan, 2009) in batch and continuous column study. Very few researches have focused on the simultaneous application of both non-living biomass and living microbial cells.

A novel technique for an efficient metal ion mediated by immobilized bacterial cells has been designed in the present study. This metal ion removal system is called as simultaneous biosorption and bioaccumulation (SBB) system (Mondal et al., 2008; Mishra et al., 2013a). Due to practical difficulties in solid–liquid separation, the free biomass was immobilized on the support. The simultaneous biosorption and bioaccumulation mechanisms are various and are not fully understood.

Mondal and Balomajumder (2007) hypothesized that the removal of substances in the presence of microbial film is mechanistically complex which involves the following: (1) transport of substances from bulk liquid to the surface of the microbial film, (2) simultaneous mass transfer and adsorption within the adsorbent, and (3) simultaneous mass transfer, adsorption and biochemical reaction within the microbial film. Since the biochemical reaction could take place in either biological suspension or on adsorbent, active presence of biomass in adsorption could also be expected, which could partially regenerate the adsorbent and ensure a long life operation of adsorption process.

Surface precipitation is also responsible for metal ion removal in this process. In case of precipitation, the metal uptake may occur both in the solution and on the cell surface (Ercole et al., 1994). Furthermore, it may depend on the cell’s metabolism if, in the presence of toxic metals, the microorganism creates compounds that favor the precipitation process. Precipitation may not depend on the cells’ metabolism, if it takes place after a chemical interaction between the metal and cell surface.

Among several treatment options the surface modified biosorbents and biological treatment with living microbes are gaining attention in current years for the removal of arsenic from contaminated water (Mondal et al., 2006). The arsenic bacteria may be arsenic oxidizing type, iron oxidizing type, sulfate reducing type, or arsenic resistant type. Different types of bacteria have different types of gene. Although all the arsenic bacteria can survive in arsenic atmosphere, the bacteria type that reduces As(V) to As(III) and accumulate As(III) is specially named as arsenic resistant bacteria (Mateos et al., 2006). Arsenic resistant bacteria usually contain arsR and arsC gene in either plasmid or chromosome or in both and produce arsenic regulatory arsR protein and arsenate reductase enzyme (Mergeay et al., 2003; Mateos et al., 2006). arsR has specific active sites to accumulate As(III) (Mergeay et al., 2003).

Mateos et al. (2006) described that Corynebacterium glutamicum, gram-positive bacterium which is widely used for the industrial production of amino acids and nucleotides, is one of the most arsenic resistant microorganisms described to date (up to 12 mM As(III) and >400 mM As(V)). They also reported that C. glutamicum species is of specific attention due to its high capability for abatement biologically. C. glutamicum could construct a corynebacterial strain with special capabilities to resist and accumulate arsenic, which can be utilized for bioremediation. C. glutamicum genome exposed the presence of two complete ars operons (ars1 and ars2) comprising the typical three gene structure arsRBC, with an extra arsC1 located downstream from arsC1 (ars1 operon), and two orphan genes (arsB3 and arsC4). The involvement of both ars operons in arsenic resistance in C. glutamicum helps in the bioaccumulation of arsenic (Mateos et al., 2006). So, the bacteria C. glutamicum can depollute arsenic wastewater, by accumulation outside the cells and/or biosorption of the ion on their surface (Mateos et al., 2006) as was defined earlier for E. coli (Kotrba et al., 1999) and Ralstonia eutropha (Valls et al., 2000). Several investigators have successfully used immobilized cells for the removal of metal ions/dye (Vijayaraghavan and Yun, 2007; Mondal et al., 2008; Kim et al., 2010; Mishra et al., 2013a).

The Neem tree (Azadirachta indica) of the family Meliaceae is inherent in India and nearby countries for more than 2000 years and was amended for its growth in Brazil a few years earlier. Its significance has been famous by the US National Academy of Sciences which issued a report in 1992 named “Neem – a tree for solving global problems” (Parrota and Chaturvedi, 1994; Doharey and Singh, 1989). It was on this basis that this easily available agricultural leaf can be investigated for its potential in treating industrial effluents including these metal ions.

In the present study, the arsenic biosorption/bioaccumulation of C. glutamicum MTCC 2745 was investigated in batch reactors containing NL/MnFe2O4 composite, as biological support. NL/MnFe2O4 composite was utilized as carrier due to its high porosity, easy availability and cost-effectiveness. Arsenic removal efficiency of bacteria improved when it was immobilized on a solid support, like NL/MnFe2O4 composite (Mondal et al., 2006). The whole immobilized microbial cells were used as biosorbent (Mishra et al., 2013b) for the biosorption of metal ion from liquid phase in batch studies.

The purposes of the current study, divided into six parts, were (1) to characterize the prepared fresh biosorbent (NL/MnFe2O4 composite) and immobilized bacterial cells before and after metal loading with Scanning Electron Microscopy (SEM) and Energy-dispersive X-ray spectroscopy (EDX), (2) to examine the impact of contact time plus temperature for eliminating As(III) and As(V) from synthetically prepared copper smelting wastewater, (3) to estimate the kinetics and mechanism of present biosorption/bioaccumulation process, (4) to study the thermodynamics of biosorption/bioaccumulation to determine the mechanism of biosorption/bioaccumulation process, (5) to examine the influence of initial arsenic concentration onto kinetics of biosorption/bioaccumulation, and (6) to examine the effect of temperature onto kinetics of biosorption/bioaccumulation.

2

2 Materials and methods

2.1

2.1 Materials

Neem leaves (A. indica) were collected from the institute campus of Indian Institute of Technology, Roorkee, India. All the chemicals and reagents were of analytical reagent grade and used without additional purification. The stock solutions of As(III) and As(V) were prepared by dissolving NaAsO2 and Na2HAsO4, 7H2O, purchased from Himedia Laboratories Pvt. Ltd. Mumbai, India, in 1 L of double distilled water, respectively. All other necessary chemicals used in the experiments, were purchased from Himedia Laboratories Pvt. Ltd. Mumbai, India. Glassware utilized for experimental purposes was washed in 10% nitric acid and rinsed with deionized water for removing any probable interference by other metals.

2.2

2.2 Microorganism and growth medium

The microorganism utilized was the arsenic-resistant bacterium C. glutamicum MTCC 2745 (Microbial Type Culture Collection and Gene Bank (MTCC), Chandigarh, India). Culture media were prepared as per the guidelines of microbial type cell culture (MTCC). Composition of growth medium and cultivation conditions are exhibited in Table 1.

Table 1 Composition of growth medium and cultivation conditions.
Component (g/L) or condition
Beef extract 1.0
Yeast extract 2.0
Peptone 5.0
NaCl 5.0
pH 7.0
Temperature (°C) 30

2.3

2.3 Acclimatization

The revived culture was initially grown in MTCC prescribed growth media in a 250 mL round bottom flask tightly closed with cotton plug as follows:

C. glutamicum MTCC 2745 was cultivated in 250 mL flask containing 100 mL of the growth media with As(III) and As(V). The cultures were acclimatized to As(III) and As(V) individually exposing the culture in a series of shake flasks.

The bacterial inoculum was prepared by transferring a loop full of bacterial culture from the nutrient agar tubes to the flask containing sterilized growth media, incubated at 30 °C for 24 h with moderate agitation (120 rpm) in an incubator cum orbital shaker. Then the acclimatization of C. glutamicum MTCC 2745 in arsenic environment was carried out as follows (Mondal et al., 2008):

After 24 h the synthetic medium in the flask had turned milky specifying significant bacterial growth in the flask. Appropriate amount of arsenic (As(III) or As(V)) was added into the flask having 100 mL sterilized growth media to acquire a concentration of 50 mg/L of arsenic. Firstly growth of C. glutamicum MTCC 2745 was inhibited and the growth started after 2 h. After 24 h of incubation at 30 °C with moderate agitation (120 rpm), 5 mL of the arsenic resistant bacterial inoculum was periodically added in a series of 250 mL flasks containing 100 mL of arsenic containing sterilized growth media (As(III) or As(V) concentration, 100, 200, 500, 800, 1000, 1200, 1500 and 1800 mg/L) under sterile conditions in a laminar hood chamber. After 24 h later, another fresh growth media containing arsenic (As(III) or As(V) concentration, 2000 mg/L) were also inoculated with 5 mL of the last culture (As(III) or As(V) concentration, 1800 mg/L) to ensure that the bacteria were already adapted to both As(III) and As(V). For inoculum, a further subculturing was performed and all the inoculum transfers were done in exponential phase (OD value ∼1 at 600 nm).

2.4

2.4 Methods

2.4.1

2.4.1 Biosorbent preparation

Neem leaves (NL) was washed to clean the adhering dirt, rinsed thoroughly with double distilled water and finally heated in an air oven at 105 °C for 4 h. 25 g of dried NL was added into 500 mL conical flask containing 250 mL of 0.5 M HCl solution; thereafter was shaken for 4 h at 120 rpm at 25 °C. Then the mixture was left overnight. The mixture then was filtered to separate NL which was repeatedly washed with double distilled water to provide neural pH. Then the biosorbents were dried at 110 °C for 3 h for removing moisture, cooled to room temperature and kept in plastic bags for further usage.

NL/MnFe2O4 composites were prepared by chemical coprecipitation method with few modifications (Shao et al., 2012). In this procedure, 11.52 g of acid treated NL was mixed into 200 mL solution containing dissolved ferric (III) chloride (FeCl3) (0.05 mol) and manganese (II) chloride (MnCl2) (0.025 mol) at room temperature. The quantity of acid treated NL was fixed for acquiring NL/MnFe2O4 mass ratios of 2:1. The solution temperature was increased to 60 °C under energetic magnetic stirring and after that 5 mol/L of NaOH solution was added drop by drop to the above mixture till the pH of the solution attained 11. Thereafter next 1 h agitation was continued. Then the suspension was heated in a water bath at 100 °C for 4 h. After cooling, the prepared composite was constantly washed with double distilled water for eliminating the contaminations (e.g. Na+, Cl) accompanied with the processes. Afterward as-prepared composite was collected from the washed solution by filtering the mixture and then was oven dried at 110 °C. Fig. S1 of Supplementary material represents the schematic diagram for the preparation of composite biosorbent. The reaction ionic equation (Bianfang et al., 2007) is as follows:

(1)
Mn 2 + + 2 Fe 3 + + 8 OH - Mn ( OH ) 2 + 2 Fe ( OH ) 3 MnFe 2 O 4 + 4 H 2 O
(2)
MnFe 2 O 4 + NL NL - MnFe 2 O 4

2.4.2

2.4.2 Immobilization of microbial cells on the biosorbent

To immobilize C. glutamicum MTCC 2745 on prepared NL/MnFe2O4 composite initially 95 mL culture media were aseptically inoculated with 5 mL of bacterial suspension of C. glutamicum MTCC 2745 from both As(III) and As(V) acclimatized 24 h old culture in a laminar chamber. The flasks were incubated at 30 °C for another 24 h with moderate shaking at 120 rpm. Then immobilization of bacterial cell was performed by adding 0.09 g of prepared NL/MnFe2O4 composite to the above suspension containing 24 h old culture. Then the flasks were again incubated at 30 °C for next 24 h with moderate shaking at 120 rpm. Bacterial cell immobilization was established by observing a small amount of bacterial treated NL/MnFe2O4 composite through scanning electron microscopy.

2.4.3

2.4.3 Characterization

The measurements of SEM were done for observing the surface morphologies of the C. glutamicum MTCC 2745 immobilized on the surface of NL/MnFe2O4 composite (i.e. immobilized bacterial cells) before and after biosorption/bioaccumulation process (SEM; LEO electron Microscopy, England). The images were taken with an accelerator voltage = 15 kV and an emission current = 100 μA by the Tungsten filament. Infrared spectra of the unloaded and metal loaded immobilized bacterial cells were acquired utilizing a Fourier transform infrared spectrometer (NICHOLET 6700, coupled with OMNIC software version 6.2).

2.4.4

2.4.4 Cell viability in NL/MnFe2O4 composite biosorbent

To determine that bacteria survived the immobilization process, experiments were conducted to estimate the growth in the biosorbent. To determine that bacteria were definitely viable, a small piece of the bacterial immobilized biosorbent was excised from the master biosorbent and placed on the surface of nutrient agar plates (Hyde et al., 1991). The plates were placed into an incubator at a temperature of 30 °C for 24 h to estimate the growth of the bacteria. The cut biosorbent would allow any viable bacteria to escape from the NL/MnFe2O4 composite matrix and grow out onto the solid medium. The bacterial immobilized biosorbents were placed at 30 °C because C. glutamicum MTCC 2745 grows at this temperature. After the growth of 48 h, the bacterial inoculum was prepared by transferring a loop full of bacterial culture from the nutrient agar tubes to the flask containing sterilized growth media, incubated at 30 °C for 24 h with moderate agitation (120 rpm) in an incubator cum orbital shaker. Bacterial cell growth was established by observing a small amount of bacterial cells through scanning electron microscopy.

2.4.5

2.4.5 Batch experimental studies and analytical methods

A medium with 1.0 g/L of beef extract and 2.0 g/L of yeast extract, 5.0 g/L of peptone and 5.0 g/L of NaCl was used for the growth of the microorganism. The media were sterilized at 121 °C for 15 min, cooled to room temperature, inoculated with 5% (v/v) bacteria and kept at 30 °C for 24 h with moderate shaking (120 rpm) in an incubator cum orbital shaker. 0.9 g/L NL/MnFe2O4 composite was added as support to the enrichment medium in round bottom flask for immobilization of bacteria and the process as described in Section 2.4.2 was followed. All biosorption/bioaccumulation experiments were done by shaking optimum biosorbent dose of 0.9 g/L of NL/MnFe2O4 composite with 100 mL of C. glutamicum MTCC 2745 bacterial suspension as a test solution and required amount of arsenic (0.0867 g of As(III) salt or 0.208 g of As(V) salt) was supplemented to give final concentration As(III) or As(V) of requisite concentration (50 mg/L), at an optimum initial pH value around 7.0 and at 30 °C temperature in an incubator cum orbital shaker (REMI Laboratory instruments) at 120 rpm. Separate studies were conducted for various initial arsenic (As(III) or As(V)) concentrations. 1.0 N NaOH and 1.0 N HCl solutions were used to adjust the initial pH of the solution using a digital pH meter (HACH® India).

To investigate the effect of pretreatment, batch experiments were conducted by contacting adsorbent/biosorbent dose (4 g/L) of acid treated neem leaves (NL), MnFe2O4 composite, NL/MnFe2O4 composite and immobilized bacterial cells with As(III) or As(V) solution of a fixed concentration (50 mg/L) at a constant temperature (30 °C) for a contact time of 90 min.

To investigate the biosorption/bioaccumulation kinetics, batch experiments were conducted by contacting a previously optimized biosorbent dose (0.9 g/L) of the NL/MnFe2O4 composite with As(III) or As(V) solution of a fixed concentration (50 mg/L) at a constant temperature (30 °C) at a range of contact time (5–500 min).

To examine the impact of temperature on the biosorption/bioaccumulation, batch experiments were done by contacting a previously optimized biosorbent dose (0.9 g/L) of the NL/MnFe2O4 composite with As(III) or As(V) solution of a fixed concentration (50 mg/L) at an optimum contact time of 260 min at temperatures of 20, 25, 30, 40, 45 and 50 °C.

To study the influence of initial concentration on the kinetics of biosorption/bioaccumulation of both As(III) and As(V) by immobilized bacterial cells, all batch experiments were performed by agitating 0.9 g/L of N;/MnFe2O4 composite with 100 mL of C. glutamicum MTCC 2745 bacterial suspension as a test solution supplemented with required amount of arsenic (As(III) or As(V)) to give final concentration As(III) or As(V) of 50, 100, 500, 1000, 1500 and 2000 mg/L at a constant temperature (30 °C).

To examine the effect of temperature on the kinetics of biosorption/bioaccumulation of both As(III) and As(V) by immobilized bacterial cells, 0.9 g/L NL/MnFe2O4 composite was added to each round bottom flasks containing 50 mg/L C. glutamicum MTCC 2745 culture media as a test solution of As(III) or As(V). Experiments were conducted at three temperatures (30, 40 and 50 °C) by shaking the flasks.

The samples were withdrawn from the flasks through filtration by Whatman Filter paper (Cat No 1001 125) (Remi Instruments ltd., Mumbai, India) after fixed contact time for thermodynamic studies as well as at predetermined time intervals and then centrifuged (Remi, India) at 10,000 rpm for 10 min for kinetic studies, a portion of filtrate was diluted with HNO3 solution (10%, v/v). The filtrate was analyzed for determination of arsenic concentration using ThermoFisher Scientific iCE 3000 Series AA graphite furnace atomic absorption (GFAA) spectrometer (detection limit 20 μg/L). Arithmetic mean of results of two similar experiments was utilized to estimate data.

3

3 Theoretical background

With the goal of assessing biosorption capacity by mass balance, detailed as the amount of adsorbate molecules adsorbed per unit mass of biosorbent at time t (mg/g) was calculated as follows:

(3)
q t = ( C o - C t ) V M The amount of adsorbate molecules adsorbed in terms of percentage was calculated as follows:
(4)
R e ( % ) = ( C o - C t ) C o × 100

3.1

3.1 Determining adsorption kinetic parameters by nonlinear regression

The kinetic parameter sets are calculated by nonlinear regression because of the inherent bias affecting after linearization. This delivers a mathematically laborious method to estimate kinetic parameters utilizing the original kinetic equation (Khan et al., 1996; Ncibi, 2008; Hadi et al., 2012). Usually Gauss–Newton methods or Levenberg–Marquardt based algorithms (Edgar and Himmelblau, 1989; Hanna and Sandall, 1995) are used. The biosorption kinetic data of arsenic onto C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite were analyzed by nonlinear curve fitting analysis using professional graphics software package OriginPro (8.5.1 version) for fitting the kinetic models.

The optimization method needs the selection of a Goodness-of-Fit Measure (GoFM) with the aim of esteeming the fitting of the kinetics to the experimental data. In the current study, six GoFM (Residual Sum of Squares (SSE), reduced Chi-square test (Reduced χ2), coefficient of determination (R2), Adjusted R-square ( R 2 ) , R value (R) and Root-MSE value) were employed for assessing isotherm parameters using the OriginPro software by considering 95% confidence interval (The details are provided with Supplementary materials).

The adjusted coefficient of determination ( R 2 ) , which generally takes into account the number of variables and sample size in the model, is deliberated superior to the coefficient of determination (R2), since it revises the overestimation by R2 (Warrens, 2008). While dealing with small samples, specifically it is more exact than R2.

3.2

3.2 Adsorption kinetic modelling

Biosorption kinetics reveals the rate of adsorbates bonding on the surface of the biological materials. Kinetics studies deliver the vital information about the probable mechanism of biosorption that includes the diffusion (bulk, external, and intraparticle) and chemical reactions. In general, it is supposed that adsorbate transport happens in the few following steps. The first step includes the transport of adsorbate in the bulk of the solution, second step comprises the external diffusion (the substrates diffuse from the bulk solution to the external surface of the biosorbent), the third step was because of the transport of the adsorbate across the boundary layer, the fourth step involves the transfer of compounds in the pores to the internal parts of the biosorbent and finally uptake of molecules by the active sites, and the fifth step comprises biosorption and desorption of adsorbate (Plazinski et al., 2009; Michalak et al., 2013). In many experimental biosorption systems, the influence of transport in the solution is rejected by fast mechanical mixing, so, it is not supposed to be involved in governing of the overall sorption rate and can be overlooked, as a rule (Plazinski et al., 2009). With the purpose of inspecting dynamic biosorption behavior of As(III) and As(V) onto immobilized bacterial cells i.e. governing the current biosorption process mechanisms and the probable rate limiting steps for example mass transport and/or chemical biosorption processes, kinetic models have been utilized for fitting the experimental data. Fourteen kinetic models were employed in the current research supposing that concentrations on the adsorbent surface are equal to the measured concentrations.

There are many models for kinetics of biosorption at the interface of solid/solution. Fractional power model (FP), pseudo first order (PFO) and pseudo second order (PSO) are common empirical models, however their major drawback is that they may simply define the kinetics of adsorption at some restrictive situations (Haerifar and Azizian, 2013). Elovich is a two parametric semi-empirical model and fractional power (FP), Ritchie second order and exponential (EXP) kinetic models are two parametric empirical models to analyze kinetic data at near to equilibrium. As well other empirical models for instance Avrami, modified pseudo second order (MPSO) and mixed 1, 2 order model (MOE) equations have been recommended for modelling the adsorption kinetics at the interface of solid/solution. These models are mainly three parametric equations.

The prior kinetic models of adsorption at the interface of solid/solution can be generalized by taking into consideration the fractal-like methodology i.e. time dependence of adsorption rate coefficient. A physical significance of the fractal-like idea has been considered for adsorption kinetics onto surfaces of solid that is energetically heterogeneous. The fractal-like study exhibits that the kinetics of adsorption at interface of the solid/solution in a real system with various kinds of surface sites and with various affinities for adsorption can be demarcated by a fractal-like methodology. Based on this study, the history of process can influence the process besides the achieved rate coefficient of adsorption is a function of time. Table 2 presents representative kinetic models for a biosorptive reaction (The details of adsorption kinetic modelling are provided with Supplementary materials).

Table 2 Adsorption kinetic models for biosorption.
Sr. no. Expression Equation form Remarks
1 Fractional power model (FP) q t = k FP t v Based on adsorption capacity
2 Pseudo first order model (PFO) q t = q e ( 1 - exp ( - k PFO t ) ) Based on adsorption capacity
3 Pseudo second order model (PSO) q t = ( q e 2 k PSO ) t 1 + ( q e k PSO t ) Chemisorption and based on adsorption capacity and
4 Elovich model q t = 2.3 b E × log t + 1 a E b E - 2.3 b E × log 1 a E b E Chemisorption
5 Avrami model q t = q e ( 1 - exp [ - ( k AV t ) ] n AV ) Multiple kinetic orders
6 Modified second order model (MSO) q t = q e { 1 - [ 1 β 2 R + k 2 R t ] } Number of surface sites is two
7 Ritchie second order model q t = q e { 1 - [ 1 1 + k 2 R t ] } Adsorbent surface coverage is presumed to be zero
8 Exponential kinetic model (EXP) q t = q e ( ln [ 2.72 - 1.72 exp ( - k EXP t ) ] ) Exponential form of kinetic equation
9 Mixed 1, 2 order model (MOE) q t = q e 1 - exp ( - k MOE t ) 1 - f 2 exp ( - k MOE t ) A combined form of pseudo first and second order equations
10 Fractal-like mixed 1, 2 order model (FMOE) q t = q e [ 1 - exp ( - k 1 , 0 t α ) ] 1 - f eq exp ( - k 1 , 0 t α ) Time dependency of the rate coefficient
11 Fractal-like pseudo first order model (FPFO) q t = q e ( 1 - exp ( - k FPFO t α ) ) Time dependency of the rate coefficient
12 Fractal-like pseudo second order (FPSO) q t = q e 2 k FPSO t α 1 + k PSO q e t α Time dependency of the rate coefficient
13 Fractal-like exponential (FEXP) q t = q e ln [ 2.72 - 1.72 exp ( - k Exp t α ) ] Time dependency of the rate coefficient
14 Brouser–Weron–Sototlongo model (BWS) q t = q e 1 - 1 + ( n BWS - 1 ) t τ n BWS , α α - 1 / ( n BWS - 1 ) Complex nature of adsorption

3.3

3.3 Adsorption mechanistic modelling

The scavenging of adsorbate species from the liquid by the solid phase is taken place in three successive steps as follows (McKay et al., 1981; Singh and Pant, 2006; Al-Degs et al., 2008). The three stages tangled in the mechanism of biosorption process are as follows:

  1. Firstly the adsorbate mass transfer from the aqueous phase onto the biosorbent surface i.e. film diffusion or surface diffusion takes place.

  2. Secondly internal diffusion of adsorbate via either a pore diffusion model or homogeneous solid phase diffusion model i.e. particle diffusion occurs.

  3. The third stage is the biosorption of adsorbate onto the surface sites. Due to its very fast in nature, it cannot be considered for the rate determining step.

So as to know the rate controlling step, the following different models (Table 3) were applied using the experimental data of kinetic study (The details of mechanistic model equations are provided with the Supplementary material).

Table 3 Adsorption mechanistic models for biosorption.
Sr. no. Expression Equation form Remarks
1 Weber and Morris model q t = k int t 0.5 + C int Intra-diffusion
2 Rate limiting step ln 1 - q t q e = ln 6 π 2 - D 2 π 2 r 2 t Based on diffusion
3 Dumwald–Wagner model log ( 1 - F 2 ) = - k DW 2.303 t Intra-diffusion
4 Richenberg model F values >0.85
B b t = - 0.4977 - ln ( 1 - F )
Based on diffusion
F values <0.85
B b t = π - π - π 2 F 3
5 McKay plot ln ( 1 - F ) = - k M t Film diffusion
6 Bangham’s model log log C 0 C 0 - q t m = log k b m 2.303 V + α b log ( t ) Intra-diffusion
7 Diffusion coefficient t ( 1 / 2 ) = 0.030 r 2 D p Based on diffusion
t ( 1 / 2 ) = 0.230 r δ D f × C s C e
14 Diffusivity model F = 1 - 6 π 2 m b 1 1 m b 2 exp - D e t π 2 m b 2 r 2 Chemisorption

3.4

3.4 Adsorption thermodynamic modelling

The entropy and Gibbs free energy parameters should be measured with the intention of deciding whether the processes will happen spontaneously. Thermodynamic parameters for example ΔG0, ΔH0 and ΔS0 can be calculated utilizing equilibrium constant while the temperature varies (Table 4) and their evaluation gives an insight into the possible nature of adsorption (the details of thermodynamic equations are provided with Supplementary material).

Table 4 Thermodynamic equations and their parameters.
Sr. no. Expression Equation form Remarks
1 Gibbs free energy Δ G 0 = - RTlnK d where k d = q e C e Free energy change
12 van’t Hoff ln ( k d ) = - Δ H 0 RT + Δ S 0 R where k d = q e C e Enthalpy change entropy change
14 Arrhenius ln k PSO = - E a RT + ln A Apparent activation energy

3.5

3.5 Adsorption activation energy

The adsorption activation energy (Ea) was calculated by considering the equilibrium constants under the different experimental conditions (Table 4) (The detailed equation is provided with Supplementary material).

4

4 Results and discussion

4.1

4.1 Effect chemical treatment on biosorption

The acid treated neem leaves itself has the lower capacity to adsorb As(III) and As(V). Its main function was to provide a template with high specific area for MnFe2O4 loading. Untreated neem leaves (NL), utilized in water treatment facilities, occupies mainly negatively charged surface due to hydroxyl group at neutral pH and therefore was not a good biosorbent for negatively charged/neutral arsenic. The hydroxyl groups can offer chemical reaction sites and adsorb iron and manganese ions to grow MnFe2O4 particles. The reason may be that the template can prevent MnFe2O4 particles from aggregating in biosorption process and enhance the effective biosorption area, resulting in the highly enhancement of biosorption capacity (Mohan and Pittman, 2007). Loading of MnFe2O4 increased the positive charge density on the biosorbent surface by neutralizing negative surface charge and creating positive charge in its place (Mondal et al., 2009). Mondal et al. (2007a, 2010) have reported that impregnation of Ca on the surface of GAC also increased the positive charge on the surface of GAC and finally improved the adsorption capacity of GAC. By comparing the arsenic adsorption capacity of MnFe2O4 with and without the template in Table 5, it was observed the adsorption capacities of MnFe2O4 loading on the acid treated GAC are much higher than the bare ones. Hereby, the introduction of acid treated GAC template can efficiently improve the adsorption capacity. The reason may be that the template can prevent MnFe2O4 particles from aggregating in adsorption process and enhance the effective adsorption area, resulting in the highly enhancement of adsorption capacity. A similar finding has been found out for the loading of Fe3O4 on pure wheat straw (Tian et al., 2011).

Table 5 Comparison of the % removal of As(III) and As(V) using different adsorbent/biosorbent.
Adsorbents Operating conditions % removal of As(III) % removal of As(V)
C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite C0: 50 mg/L; M: 4 g/L; pH: 7.0; T: 30 °C; t: 90 min 79.56522 86.38462
NL/MnFe2O4 composite C0: 50 mg/L; M: 4 g/L; pH: 7.0 (As(III)) and 4.0 (As(V)); T: 30 °C; t: 90 min 81.73913 85.07692
Acid treated NL C0: 50 mg/L; M: 4 g/L; pH: 7.0 (As(III)) and 4.0 (As(V)); T: 30 °C; t: 90 min 71.30435 75.84615
Bare MnFe2O4 C0: 50 mg/L; M: 4 g/L; pH: 7.0 (As(III)) and 4.0 (As(V)); T: 30 °C; t: 90 min 66.08696 57.38462

4.2

4.2 Effect of contact time

Fig. 1 shows the effect of contact time on the % removal of As(III) and As(V) employing immobilized bacterium. The time needed to grasp equilibrium for sequestering of both As(III) and As(V) was 260 min. For further increase in time, no significant enhancements was detected in eliminating arsenic. Thus, further biosorption/bioaccumulation studies were performed for a contact time of 260 min.

Effect of contact time on As(III) and As(V) removal in SBB studies (C0: 50 mg/L; T: 30 °C; pH: 7.0; M: 1 g/L) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 1
Effect of contact time on As(III) and As(V) removal in SBB studies (C0: 50 mg/L; T: 30 °C; pH: 7.0; M: 1 g/L) (Error bars represent means ± standard errors from the mean of duplicate experiments).

From the results it is again understandable that in all the systems, the saturation time does not be governed by the adsorbate concentration in the solution. The change in the rate of removal might be owing to the fact that initially all sites of surfaces of immobilized bacterial cells are definitely obtainable and also the concentration gradient of adsorbate is very high. At optimum pH, the rapid kinetics of interaction of adsorbate-immobilized bacterial cells might be recognized to increase availability of the active sites of the surface of immobilized bacterial cells. Thus the removal of adsorbate was rapid in the early stages and gradually drops with the interval of time until equilibrium in each case. The reduction in removal of metal ion at the later stage of the process was owing to the decreasing of concentration of metal ions (Mishra et al., 2010). So the curves found were single, smooth and continuous leading to equilibrium and suggested the probability of monolayer coverage of the adsorbate onto the surface of immobilized bacterial cells (Ranjan et al., 2009).

4.3

4.3 Biosorption kinetic studies

Evidence on the kinetics of adsorbate uptake is substantial to fix optimum operating conditions for full scale batch process. As a non-linearizable kinetic model and with the purpose of comparing its fitting ability to the previous considered models, a nonlinear regression analysis was accomplished to the 14 adsorption kinetic models. Table 6 shows the values of kinetic constants of all the models for the biosorption/bioaccumulation of both As(III) and As(V) by immobilized bacterial cells. The results exhibited that there was no noticeable relationship between the kinetic data for both As(III) and As(V) (Fig. 2(a and b) with low correlation coefficients and high error values indicating that these models (fractional power, pseudo first order, Elovich and exponential) are not appropriate in the current case.

Table 6 Kinetic constants of studied models for As(III) and As(V) biosorption/bioaccumulation onto C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite.
Kinetic models Parameters Values for As(III) Values for As(V)
Fractional power kFP (mg/g min) 19.47268 21.16895
v 0.14286 0.1372
Reduced χ2 6.97949 7.78118
SSE 265.22047 295.68495
R 0.95868 0.9573
R2 0.91907 0.91643
R 2 0.91694 0.91423
Root-MSE 2.64187 2.78948
Pseudo first order kPFO (1/min) 0.05412 0.05492
qe(PFO) (mg/g) 42.14516 44.48037
Reduced χ2 4.7666 4.42284
SSE 181.13063 168.06778
R 0.97197 0.97596
R2 0.94473 0.9525
R 2 0.94328 0.95125
Root-MSE 2.18325 2.10305
Pseudo second order qe(PSO) (mg/g) 45.01459 47.34623
kPSO (g/mg min) 0.00193 0.00192
Reduced χ2 0.68534 0.45032
SSE 26.04287 17.11204
R 0.99602 0.99758
R2 0.99205 0.99516
R 2 0.99184 0.99504
Root-MSE 0.82785 0.67106
Elovich aE (mg/g min) 51.22641 67.69834
bE (g/mg) 0.17938 0.17598
Reduced χ2 4.39012 5.01784
SSE 166.8244 190.67778
R 0.97422 0.97268
R2 0.9491 0.94611
R 2 0.94776 0.94469
Root-MSE 2.09526 2.24005
Avrami kAV (1/min) 0.05163 0.05471
qe(Avrami) (mg/g) 44.06759 46.15047
nAV 0.54776 0.56617
Reduced χ2 1.05379 0.63975
SSE 38.99028 23.67069
R 0.99403 0.99665
R2 0.9881 0.99331
R 2 0.98746 0.99295
Root-MSE 1.02654 0.79984
Modified second order qe(MSO) (mg/g) 45.03994 47.38002
β2R 1.00982 1.01313
k2R (1/min) 0.08618 0.09002
Reduced χ2 0.69802 0.45109
SSE 25.82685 16.69038
R 0.99605 0.99764
R2 0.99212 0.99528
R 2 0.99169 0.99503
Root-MSE 0.83548 0.67163
Ritchie second order qe(Ritchie) (mg/g) 45.01442 47.34635
k2R (1/min) 0.08697 0.0911
Reduced χ2 0.68534 0.45032
SSE 26.04287 17.11204
R 0.99602 0.99758
R2 0.99205 0.99516
R 2 0.99184 0.99504
Root-MSE 0.82785 0.67106
Exponential kEXP (mg/g min) 1.636774397 1.769922969
qe(EXP) (mg/g) 42.41447 44.72891
Reduced χ2 3.42673 2.95943
SSE 130.21572 112.45845
R 0.97993 0.98398
R2 0.96027 0.96822
R 2 0.95922 0.96738
Root-MSE 1.85114 1.7203
Mixed 1, 2 order kMOE (1/min) 0.000507661 0.000760719
qe(MOE) (mg/g) 44.8883 47.15602
f2 0.99418 0.99168
Reduced χ2 0.70469 0.46356
SSE 26.07358 17.15168
R 0.99601 0.99757
R2 0.99204 0.99515
R 2 0.99161 0.99489
Root-MSE 0.83946 0.68085
Fractal-like mixed 1, 2 order qe(FMOE) (mg/g) 21.98568 47.28493
f2 0 0.96202
k1,0 (1/min)α 0.11922 0.00444
α(FMOE) 0.6454 0.90608
Reduced χ2 0.09892 0.39851
SSE 3.56104 14.34637
R 0.99815 0.99797
R2 0.99631 0.99595
R 2 0.996 0.99561
Root-MSE 0.31451 0.63128
Fractal-like pseudo first order qe(FPFO) (mg/g) 44.06891 46.14683
kFPFO (1/min)α 0.19725 0.19262
α(FPFO) 0.54772 0.56677
Reduced χ2 1.05379 0.63977
SSE 38.99028 23.67142
R 0.99403 0.99665
R2 0.9881 0.99331
R 2 0.98746 0.99295
Root-MSE 1.02654 0.79986
Fractal-like pseudo second order qe(FPSO) (mg/g) 45.8154 48.00247
kFPSO (g/mg min)α 0.00246 0.00236
α(FPSO) 0.89754 0.91417
Reduced χ2 0.60596 0.38643
SSE 22.42048 14.29797
R 0.99657 0.99798
R2 0.99316 0.99596
R 2 0.99279 0.99574
Root-MSE 0.77843 0.62164
Fractal-like exponential qe(FEXP) (mg/g) 44.04692 46.13028
kEXP (1/min)α 0.070149044 0.070877565
α(FEXP) 0.63078 0.65085
Reduced χ2 1.0055 0.61778
SSE 37.20345 22.85768
R 0.99431 0.99676
R2 0.98865 0.99354
R 2 0.98803 0.99319
Root-MSE 1.00275 0.78599
Brouser–Weron–Sototlongo τnBWS,α (min) 8.64232 10.97291
qe(BWS) (mg/g) 47.39278 47.9279
nBWS 3 1.96087
α(BWS) 1.21699 0.90155
Reduced χ2 0.55713 0.39696
SSE 20.05665 14.29065
R 0.99694 0.99798
R2 0.99388 0.99596
R 2 0.99337 0.99562
Root-MSE 0.74641 0.63005
Kinetic modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 2
Kinetic modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

On the basis of maximum correlation coefficients (R, R2 and R 2 ) and lowest error values (SSE, reduced χ2 and Root-MSE), the superior and perfect fitting of the experimental results was found using Fractal-like mixed 1, 2 order for As(III) (Fig. 2(a)) among all the tested kinetic models.

In case of Fractal-like mixed 1, 2 order model the adsorption rate coefficient is deliberated a function of time by utilizing the fractal-like idea. One of the possible physical meanings of fractal-like kinetics was that adsorption of As(III) occurred at solid/solution interface. In this approach it was showed that by passing time, various paths for adsorption of As(III) on surface appear (Haerifar and Azizian, 2012a, 2012b).

In case of As(V) on the basis of maximum correlation coefficients (R and R2) and the lowest error value (SSE), the superior and perfect fitting of the experimental consequences was found using Brouser–Weron–Sototlongo (Fig. 2(b)) among all the verified kinetic models while on the basis of maximum correlation coefficient R 2 and the lowest error values (reduced χ2 and Root-MSE), the better and perfect demonstration of the experimental results was attained utilizing Fractal-like pseudo second order kinetic model (Fig. 2(a and b)) among all the well-known kinetic models.

Returning to the theory beyond the best fitting model (i.e. BWS), the biosorption/bioaccumulation phenomenon of both As(III) and As(V) on immobilized bacterial cells would be governed by chemisorption interactions type, clarifying that the rate controlling step might be chemical adsorption including valency forces via exchange or sharing of electrons between As(III) or As(V) anions and immobilized bacterial cells. Also the BWS model expresses another significant data which is the time significant to adsorb half the maximum amount (τnBWS,α).

As shown in Table 6, with respect to initial arsenic concentration, 8.64232 min and 10.97291 min (the lowest value) were adequate to immobilized bacterial cells to reach half of the As(III) and As(V) uptake capacities, respectively, which is important as well as valuable parameter for computing the reaction speed.

As for the BSW model itself, it has a good fitting behavior and more implicitly, it states such quality data (i.e. adsorption capacity nearest to experimental value, qe(BWS), and the time of half reaction, τnBWS,α) which are esteemed aimed at industrial treatment design purposes (Ncibi et al., 2014).

Following adsorption kinetic data with the Fractal-like pseudo second order model recognize that the adsorption rate coefficient is a function of time; furthermore the adsorption path on the active site varies with time (Haerifar and Azizian, 2012b).

On the basis of good correlation coefficient (R, R2 and R 2 ) and low error values (SSE, reduced χ2 and Root-MSE) it can be established that other kinetic models for example pseudo second order, Avrami, modified second order, Ritchie second order, Fractal-like pseudo first order and Fractal-like exponential models also showed good fitting of biosorption/bioaccumulation kinetic data for both As(III) and As(V) on immobilized bacterial cells.

The value of good correlation coefficients (R, R2 and R 2 ) and low error values (SSE, reduced χ2 and Root-MSE) for pseudo second order model estimates that possible route or mechanism of biosorption/bioaccumulation of arsenic (As(III) or As(V)) on immobilized cells is chemisorption.

4.4

4.4 Final remarks on biosorption/bioaccumulation kinetic studies

The value of correlation coefficient (R, R2 and R 2 ) and error values (SSE, reduced χ2 and Root-MSE) for the Fractal-like mixed 1, 2 order kinetic model was better than that observed using the other kinetic models for As(III). The value of correlation coefficient (R and R2) and error value (SSE) for the Brouser–Weron–Sototlongo model was better than achieved using the other kinetic model for As(V) indicating a complex mechanism of biosorption/bioaccumulation. But based on the obtained correlation coefficient ( R 2 ) and error values (reduced χ2 and Root-MSE) the Fractal-like pseudo second order model exhibited the best fit to the biosorption/bioaccumulation kinetic data of As(V) among all the models signifying mechanism of biosorption/bioaccumulation models followed multiple kinetic order. Thus the kinetics of As(V) biosorption/bioaccumulation utilizing immobilized bacterial cells as a biosorbent can be well clarified by the Brouser–Weron–Sototlongo as well as Fractal–like pseudo second order kinetic models.

Among the models the pseudo-second-order model also possessed a good fitness with experimental kinetic data. This tendency comes as an suggestion that the rate limiting step in biosorption/bioaccumulation of arsenic (either As(III) or As(V)) is chemisorption involving valence forces through the sharing or exchange of electrons between immobilized bacterial cells and arsenic (either As(III) or As(V)) ions (Guo et al., 2008; Miretzky et al., 2008), complexation, coordination and/or chelation (Yu et al., 2007; Lu and Gibb, 2008).

It is significant for determining the rate at which both As(III) and As(V) are biosorbed/bioaccumulated on the surface of immobilized bacterial cells that is significant for designing fixed bed adsorption column. Utilizing the biosorption/bioaccumulation rate, kinetic constants are estimated to describe the equilibrium capacity of immobilized bacterial cells and mass transfer coefficient at various aqueous phase concentrations. Amount of As(III) or As(V) biosorbed/bioaccumulated on solid surface is calculated using the kinetic equation which is vital for esteeming the concentration of the aqueous phase in fixed bed column operation. The key design factors of fixed bed adsorption column, the breakthrough time in addition to the shape of breakthrough curve are reliant on biosorption/bioaccumulation rate. For the faster biosorption/bioaccumulation rate, breakpoint time is reached earlier also the breakthrough curve shape is steeper.

The descriptive models from the best to worst for As(III) and As(V) were sorted according to GoFM values and shown Tables S1 and S2 of Supplementary material, respectively.

So at this point, the fitting “ambiguity” influenced by the correlation coefficient (R, R2 and R 2 ) and error values (SSE, reduced χ2 and Root-MSE) was for As(V), because the correlation coefficient (R and R2) and error values (SSE) established the Brouser–Weron–Sototlongo as best fitting model (highest correlation coefficient and lowest error values) whereas correlation coefficient ( R 2 ) and error values (reduced χ2 and Root-MSE) exhibited that the Fractal–like pseudo second order kinetic model is the best fitting model (highest correlation coefficient and lowest error values). So, for overcoming this doubt, it would be modest and practical for comparing the theoretically estimated qe values with the experimental ones.

According to correlation coefficient R 2 values the fitness of the models for all kinetic models is almost equivalent to each other. So based on equivalent adsorption capacity, the orders followed by the models in decreasing manner are shown in Table S3 of Supplementary material.

4.5

4.5 Biosorption mechanistic studies

4.5.1

4.5.1 Intraparticle diffusion model

Outcomes of intraparticle model for both As(III) and As(V) are shown in Table 7. Fig. 3(a and b) stated the multi-linear nature of intraparticle model. As the plot did not pass through the origin, so intraparticle diffusion was not the single rate monitoring step. Therefore there were three processes governing the rate of biosorption/bioaccumulation, though only one was rate monitoring in any certain time range. The intraparticle diffusion rate constant kint2 for both As(III) and As(V) was evaluated from the slope of the second linear portion ((Fig. 3(a and b)) and Table 7). The multi-linear curve of the intraparticle model with intercept Cint2 stated the fact that both intraparticle diffusion of adsorbate through the mesoporus openings filled with liquid and film/external mass transfer across the thickness of boundary layer were the rate monitoring steps in the biosorption/bioaccumulation of both As(III) and As(V) kinetics on the surface of immobilized bacterial cells. The value of intercept Cint acquired through the model showed the value of thickness of boundary layer of liquid adjoining the immobilized bacterial cells (Kavitha and Namasivayam, 2007).

Table 7 Mechanistic constants of studied models for As(III) and As(V) biosorption/bioaccumulation onto C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite.
Mechanistic models Parameters Values for As(III) Values for As(V)
Intraparticle diffusion model kint1 (mg/g min0.5) 5.7974 5.98548
Cint1 (mg/g) 1.48906 2.17863
kint2 (mg/g min0.5) 0.87058 0.85048
Cint2 (mg/g) 30.38403 33.13512
R 1 2 0.98605 0.98382
R 2 2 0.99438 0.98725
Determination of rate limiting step D1 (cm2/s) 1.14465E−05 1.13736E−05
D2 (cm2/s) 4.9428E−06 5.23936E−06
Dumwald–Wagner model kDW (1/min) 0.02800448 0.01379497
R 2 0.97582 0.96049
Richenberg model R 2 0.95259 0.96049
McKay plot kM1 (1/min) 0.03499 0.03607
kM2 (1/min) 0.01385 0.01395
R 1 2 0.94449 0.94822
R 2 2 0.9343 0.93809
Bangham’s model kb (L/g) 24.53996494 25.29204454
αb 0.3992 0.42769
R 2 0.9382 0.96011
Diffusion coefficient Dp (cm2/s) 1.35896E−07 1.37905E−07
Df (cm2/s) 1.50427E−07 2.40163E−07
Diffusivity De (m2/s) 4.64E−14 4.95E−14
R 2 0.95191 0.96055
Intraparticle diffusion modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 3
Intraparticle diffusion modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

The explanation of the random data points found in Fig. 3(a and b) and Table 7 specified that intraparticle mechanistic model had been appropriate to cost-effectively and proficiently describe the biosorption/bioaccumulation of both As(III) and As(V)) on the surface of immobilized bacterial cells in terms of linear regression coefficient Adjusted R-square ( R 2 ) , ranging between 0.98382 and 0.99438 in both case. Larger value of intercepts achieved for second linear portion i.e. Cint2 recommended that the film diffusion had played an important role as the rate monitoring step (Rengaraj et al., 2007).

4.5.2

4.5.2 Determination of rate limiting step

The values of the film diffusion coefficient D1 and the pore diffusion coefficient D2 for both As(III) and As(V) are revealed in Table 7. The high negative exponential of almost nearest values specified that both pore diffusion and film diffusion had monitored the mechanism of biosorption/bioaccumulation for both As(III) and As(V).

4.5.3

4.5.3 Dumwald–Wagner model

The plot (Fig. 4(a and b)) of log (1 − F2) versus t has conveyed almost linear curves ( R 2 0.96049 ) for the sequestering of both As(III) and As(V) immobilized bacterial cells, respectively, but did not pass through the origin suggesting that the diffusion of adsorbate into pores of the immobilized bacterial cells was not the single rate monitoring step in both cases. Table 7 displays the evaluated outcomes of Dumwald–Wagner model. In the current study the linearity of the plots intersected the origin of coordinates; thus film diffusion process was the rate monitoring step.

Dumwald–Wagner modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 4
Dumwald–Wagner modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

4.5.4

4.5.4 Richenberg model or Boyd plot

The outcomes of the corresponding model for both As(III) and As(V) are displayed in Table 7 and Fig. 5(a and b), respectively. From the plots of Bbt versus t, it was observed that the plots had dynamic linear form with a high correlation coefficient (Adjusted R-square ( R 2 ) ) for both As(III) and As(V) at examined temperature and but did not pass through origin which had chosen the current biosorption/bioaccumulation processes to be monitored by film diffusion mechanism.

Richenberg modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 5
Richenberg modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

4.5.5

4.5.5 Film diffusion mass transfer rate equation or McKay plot

The values achieved for ln(1 − F) as a function of time t, were plotted in Fig. 6(a and b) for As(III) and As(V), respectively and the outcomes of the respective model for both As(III) and As(V) are publicized in Table 7. The rate constant of the initial fast process (kM1) was evaluated from the slope of the first straight line (Fig. 6(a and b)). As can be understood from Fig. 6(a and b), the rate constant of the slow process (kM2) was achieved from the slope of the second linear portion. It is clear that the initial fast process was controlled by film diffusion. Also the values of kM2 are smaller than the values of kM1 for both As(III) and As(V). Thus the attained values of kM2 were indication of a pore diffusion mechanism in the second stage of the biosorption/bioaccumulation (Atun and Hisarli, 2003). The presence of two straight lines for both As(III) and As(V) specified that two processes i.e. film diffusion and pore diffusion had involved in these processes.

McKay plot of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 6
McKay plot of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

The plots were about linear for both As(III) and As(V), but it did not yield perfect linearity. Thus pore diffusion was not the rate monitoring step. In the current study film diffusion was the rate monitoring step.

4.5.6

4.5.6 Bangham’s model

The results of the respective model for both As(III) and As(V) are shown in Table 7 and (Fig. 7(a and b)). The goodness of fit of curve for Bangham’s model was related in terms of correlation coefficient Adjusted R-square ( R 2 ) . The double logarithmic plot (Fig. 7(a and b) for As(III) and As(V), respectively) as specified by above equation did not return perfect linear curves and some data were random ( R 2 0.96011 ) for the scavenging of As(III) and As(V) by immobilized bacterial cells revealing that the diffusion of adsorbate within pores of the immobilized bacterial cells was not only the rate monitoring step (Weber and Morris, 1963), film diffusion also had influence on the rate monitoring step.

Bangham modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 7
Bangham modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

4.5.7

4.5.7 Determination diffusion coefficient

The Dp and Df values for As(III) were 1.34 × 10−7 cm2/s and 1.5 × 10−7 cm2/s, respectively. Likewise these values for As(V) were 1.38 × 10−7 cm2/s and 2.4 × 10−6 cm2/s, respectively (Table 7).

Thus in the current case pore diffusion was not the single rate monitoring step for both As(III) and As(V). For As(III) the value of Df (1.5 × 10−7 cm2/s) lies within the range of 10−6 and 10−8 cm2/s and for As(V) the Df value (2.4 × 10−6 cm2/s) is also in the range. So it was found that the film diffusion had been the rate monitoring step for both As(III) and As(V).

Larger value of Df of As(V) than that of As(III) was owing to the presence of As(V) as totally positively charged species and As(III) as commonly neutral species at the experimental pH. Due to negative charge of As(V) it was freely transported from the bulk solution to commonly the positively charged surface of immobilized bacterial cells and acquired biosorbed/bioaccumulated onto the active sites of immobilized bacterial cells in place of the interior pores.

4.5.8

4.5.8 Determination of diffusivity

From the slope π2De/r2 of the plot of ln[1/(1 − F2)] versus t (Fig. 8(a and b) and Table 7), the value of diffusion coefficient, De as evaluated, was found to be 5.44 × 10−14 m2/s and 5.63 × 10−14 m2/s for As(III) and As(V) biosorption/bioaccumulation on the surface of immobilized bacterial cells, respectively. For the current study, the value of De falls within the range of 10−9–10−17 m2/s, so the system was chemisorption system. The values of the diffusion coefficient, De, shown in Table 7 fell well within the magnitudes reported in the literature (Naiya et al., 2009; Singha and Das, 2011).

Diffusivity of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 8
Diffusivity of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (t: 5–500 min; C0: 50 mg/L; M: 1 g/L; pH: 7.0; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).

4.6

4.6 Final remarks on biosorption/bioaccumulation mechanistic studies

Adsorption kinetics mechanism can determined from the mechanistic study. The above considered models for biosorption/bioaccumulation of both As(III) and As(V) indicated that two processes i.e. film diffusion (diffusion of adsorbate through the solution to the external surface of biosorbent or boundary layer diffusion of adsorbate) and pore diffusion (diffusion of the adsorbate from the surface film into the pores) were tangled in the current biosorption/bioaccumulation processes for both As(III) and As(V) and pore diffusion was not the single rate governing step. Generally, film diffusion controlled the rate monitoring step in both cases. The uptake of arsenic (As(III) or As(V)) species from the liquid to the solid phase was carried out in three consecutive steps (Al-Degs et al., 2008). Firstly, film diffusion occurred. Secondly, pore diffusion took place. The third step is the biosorption which is being very rapid in nature and cannot be taken into account for the rate determining step (Singh and Pant, 2006).

4.7

4.7 Effect of temperature

The temperature has two main effects on the biosorption/bioaccumulation process. Temperature dependence of the biosorption/bioaccumulation system directs the biosorption/bioaccumulation as endothermic or exothermic. Rising the temperature is known for increasing the diffusion rate of the adsorbate, owing to the drop in the solution viscosity. Similarly varying the temperature will change the equilibrium adsorption capacity of the immobilized bacterial cells for a specific biosorbent (Nouri et al., 2007).

The influence of temperature on the removal efficiency of As(III) and As(V) was examined in the range of 20–50 °C throughout the equilibrium time. The consequences of influence of temperature have been exposed in Fig. 9. It was observed from the Fig. 9 that with a little increase in temperature from 20 to 30 °C, the biosorption/bioaccumulation of arsenic (As(III) or As(V)) ions on immobilized bacterial cell surface increased. After 30 °C temperature, the removal of arsenic (As(III) or As(V)) ions by immobilized bacterial cell decreased with the increase in temperature. For As(III) and As(V), % removal decreased from 88.26087% to 76.95652% and 92.53846% to 83.30769%, respectively, with increase in temperature from 30 to 50 °C. Temperature influences the interaction between the biomass and the metal ions, generally by impacting on the stability of the metal-sorbent complex and the ionization of the cell wall moieties (Sag and Kutsal, 1995).

Effect of temperature on As(III) and As(V) removal in SBB studies (C0: 50 mg/L; pH: 7.0; M: 1 g/L; t: 260 min) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 9
Effect of temperature on As(III) and As(V) removal in SBB studies (C0: 50 mg/L; pH: 7.0; M: 1 g/L; t: 260 min) (Error bars represent means ± standard errors from the mean of duplicate experiments).

The temperature of the biosorption solution could be vital for energy dependent mechanisms in metal binding process (Green-Ruiz et al., 2008). Energy independent mechanisms are less expected to be influenced by temperature because the processes responsible for biosorption are mainly physico-chemical in nature (Kacar et al., 2002; Ozdemir et al., 2009). The results acquired in the current study indicated that the metal ion sorption in SBB system was exothermic. Kacar et al. (2002) and Ozdemir et al. (2009) reported in their work about the exothermic behavior of metal ion sorption on the bacterial surface. The authors correlated their research outcomes as an energy independent mediated sorption of metal ions.

This can also be clarified by the spontaneity of the biosorption/bioaccumulation process. This decrease in scavenging efficiency might be due to many issues: the relative increase in the avoidance tendency of the arsenic ions from the solid phase of immobilized bacterial cells to the bulk liquid phase; deactivating the surface of immobilized bacterial cells or destructing some active sites onto the surface of immobilized bacterial cells because of bond ruptures (Meena et al., 2005; Romero-Gonźalez et al., 2005) or due to the weakening of adsorptive forces between the adsorbate species and the active sites of the immobilized bacterial cells and also between the adjacent molecules of adsorbed phase for high temperatures or movement of immobilized bacterial cells with higher speed, so, lower interaction time with the active sites of immobilized bacterial cells was obtainable for them (Yadav and Tyagi, 1987; Roy et al., 2014).

4.8

4.8 Biosorption thermodynamic studies

The evaluated values of the thermodynamic parameters from the plot of ln kd versus 1/T (Fig. 10(a and b)) are shown in Table 8. The equilibrium constant kd was evaluated, while the temperature was altered between 20 and 50 °C for both As(III) and As(V). The maximum scavenging of adsorbate was attained at 30 °C in both cases. The scavenging efficiency initially increased with increasing the temperature from 20 to 30 °C. Then it declined with rising the temperature from 30 to 50 °C. The ΔH0 values achieved for the biosorption/bioaccumulation of both As(III) and As(V) were negative owing to the exothermic nature of the biosorption/bioaccumulation process. The value achieved for As(V) biosorption/bioaccumulation was more than the value attained for As(III). A negative value of ΔG0 specified the spontaneous nature of the biosorption/bioaccumulation process, though the negative value of ΔS0 exhibited a decrease in the randomness at the solid/solution interface throughout the biosorption/bioaccumulation process (Ngah and Hanafiah, 2008). Higher negative value of ΔG0 at a temperature of 30 °C, as was achieved in the study, decided more driving force for biosorption/bioaccumulation at 30 °C (Crini and Badot, 2008). The values of ΔG0 achieved in the current research were between −21.35 to −22.48 KJ/mol and −22.46 to −23.74 KJ/mol for As(III) and As(V), respectively. So it stated that the mechanism of present biosorption/bioaccumulation process had happened via ion exchange and/or surface complexation mechanism.

Thermodynamic modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (T: 20–50 °C; C0: 50 mg/L; pH: 7.0; M: 1 g/L; t: 260 min) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 10
Thermodynamic modelling of (a) As(III) and (b) As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (T: 20–50 °C; C0: 50 mg/L; pH: 7.0; M: 1 g/L; t: 260 min) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Table 8 Thermodynamic constants for As(III) and As(V) biosorption/bioaccumulation onto C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite.
Inorganic form T (K) −ΔG0 (KJ/mol) −ΔH0 (KJ/mol) −ΔS0 (J/mol K)
As(III) 293 21.3566071 21.8798704 0.0001361
298 21.9110629
303 22.4836557
308 22.0871826
313 21.6547559
318 21.5825979
323 21.7884751
As(V) 293 22.463325 23.4790471 0.00157766
298 23.0888722
303 23.7444702
308 23.1655643
313 22.9583356
318 22.6623537
323 22.8673033

4.9

4.9 Effect of initial arsenic concentration on biosorption/bioaccumulation kinetics

To analysis the influence of initial concentration on kinetic studies, a series of contact time experiments for both As(III) and As(V) was performed at various initial concentration (50–2000 mg/L) at temperature of 30 °C. (Fig. S2(a and b) of Supplementary material) showed the contact time important for both As(III) and As(V) with initial concentration of 50–1000 mg/L for achieving equilibrium was 260 min. However for both As(III) and As(V) with higher initial concentration (>1000–2000 mg/L), higher equilibrium time of 340 min was required. As can be seen from Fig. S2(a and b) of Supplementary material, the amount of the biosorbed/bioaccumulated both As(III) and As(V) on the surface of immobilized bacterial cells changed with time and at some point in time achieved a constant value further than no more As(III) or As(V) was removed from solution. At the moment the amount of the both As(III) and As(V) desorbing from the biosorbent was in a state of dynamic equilibrium with the amount of both As(III) and As(V) being biosorbed/bioaccumulated on the surface of immobilized bacterial cells. The time necessary for accomplishment of this state of equilibrium is called the equilibrium time. Thus the rate of biosorption/bioaccumulation decreased with time till it regularly tending to a plateau owing to the constant decline in the concentration driving force.

4.10

4.10 Determination of initial sorption rate

From Fig. 11(a and b) and Table 9, it is noticeable that the pseudo second order rate constants (kPSO) were observed to drop and the initial sorption rates (h) were agreed to rise with higher initial concentration of both As(III) and As(V). The initial sorption rate was larger for higher initial As(III) and As(V) concentration as the resistance to uptake both As(III) and As(V) reduced as the mass transfer driving force enhanced.

Determination of the initial sorption rate for biosorption/bioaccumulation of As(III) and As(V) onto the immobilized bacterial cells (C0: 50–2000 mg/L; t: 5–500 min; pH: 7.0; M: 1 g/L; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 11
Determination of the initial sorption rate for biosorption/bioaccumulation of As(III) and As(V) onto the immobilized bacterial cells (C0: 50–2000 mg/L; t: 5–500 min; pH: 7.0; M: 1 g/L; T: 30 °C) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Table 9 Initial sorption rate for As(III) and As(V) biosorption/bioaccumulation onto the C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite.
Inorganic form Concentration (mg/L) kPSO (g/mg min) h (mg/g min)
As(III) 50 0.00193 3.910781
100 0.00131 9.8057
500 0.0011 179.786
1000 4.80E−04 262.4132
1500 3.08E−04 294.8103
2000 2.57E−04 343.5393
As(V) 50 0.00192 4.303998
100 0.00127 10.65568
500 0.00103 177.9974
1000 5.86E−04 332.3187
1500 4.43E−04 481.9631
2000 3.50E−04 550.6656

The computed qe(PSO) values recognized just appropriate with the experimental data and high correlation coefficient (R, R2 and R 2 ) and low error values (SSE, reduced χ2 and Root-MSE) publicized that the model can be utilized for the whole biosorption/bioaccumulation process and allowed the chemisorption of both As(III) and As(V) on immobilized bacterial cells.

4.11

4.11 Effect of temperature on biosorption/bioaccumulation kinetic

Temperature is a notable factor governing the biosorption/bioaccumulation process. The influence of temperature onto the of biosorption/bioaccumulation of both As(III) and As(V) by immobilized bacterial cells was done from 30 to 50 °C at C0 is 50 mg/L and NL/MnFe2O4 composite loading is 1 g/L. A declining biosorption rate of both As(III) and As(V) with rising temperature from 30 to 50 °C acknowledged the process to be exothermic (Fig. S3(a and b) of Supplementary material). This is considered before concerning thermodynamic parameters in Section 4.7.

4.12

4.12 Biosorption activation energy

Biosorption/bioaccumulation rate constants kPSO of both As(III) and As(V) were evaluated from experimental data at a different temperatures supposing nonlinear form of pseudo second order kinetics. Parameters of Arrhenius equation were fitted utilizing these rate constants for estimating temperature independent rate parameters and biosorption/bioaccumulation type. A plot of ln kPSO versus 1/T showed a straight line with slope −Ea/R (Fig. 12 and Table 10). The magnitude of activation energy for As(III) and As(V) biosorption/bioaccumulation on immobilized bacterial cells was 10.18 KJ/mol and 10.22 KJ/mol signifying that both the biosorption/bioaccumulation of As(III) and As(V) onto the surface of immobilized bacterial cells was activated chemisorption.

Determination of the activation energy for As(III) and As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (T: 30–50 °C; t: 5–500 min; C0: 50 mg/L; pH: 7.0; M: 1 g/L) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Figure 12
Determination of the activation energy for As(III) and As(V) biosorption/bioaccumulation onto the immobilized bacterial cells (T: 30–50 °C; t: 5–500 min; C0: 50 mg/L; pH: 7.0; M: 1 g/L) (Error bars represent means ± standard errors from the mean of duplicate experiments).
Table 10 Activation energy for As(III) and As(V) biosorption/bioaccumulation onto the C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite.
Inorganic form T (K) kPSO (g/mg min) Ea (KJ/mol)
As(III) 303 0.00193 10.17848
313 0.00214
323 0.00248
As(V) 303 0.00193 10.2219
313 0.00225
323 0.00248

4.13

4.13 Characterization

4.13.1

4.13.1 SEM-EDX analysis

Fig. 13(a and b) exhibited the morphology of As(III) and As(V) acclimatized C. glutamicum MTCC 2745 bacterial cells, respectively. From the figure, it is obvious that they were basically rod-like shape. The SEM images of the prepared fresh NL/MnFe2O4 composite (Fig. 13(c)) and As(III) acclimatized C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite at stage of unloaded and loaded with As(III) (Fig. 13(d and e)) and As(V) acclimatized C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite at stage of unloaded and loaded with As(V) (Fig. 13(f and g)) were also shown. It can be understood from Fig. 13(c), manganese ferrite (MnFe2O4) particles with numerous diameters were arbitrarily distributed onto the acid treated NL surface. It is clear from Fig. 13(d and f) that most of the active sites of NL/MnFe2O4 composite were shielded owing to the formation of biofilm on it (Mondal et al., 2008). A change in surface morphology from being smooth to rough and existence of pores specified the As(III) and As(V) biosorption/bioaccumulation onto the surface and pores of NL/MnFe2O4 composite providing it a rough texture (Fig. 13(e and g)). The corresponding EDX spectra of the As(III) and As(V) acclimatized bacteria and the unloaded and loaded immobilized bacterial cells were collected and shown in Fig. 13(a–g). The presence of iron, manganese and oxygen onto the unloaded composite surface and iron, manganese and oxygen, arsenic on the surface of loaded immobilized bacterial cells was shown clearly. This outcome again recognized the attendance of MnFe2O4 particles onto the acid treated NL surface in addition to biosorption/bioaccumulation of arsenic onto the surface of immobilized bacterial cells.

Scanning electron micrographs (SEM) and EDX of (a) As(III) acclimatized living cells of C. glutamicum MTCC 2745 at loaded stage, (b) As(V) acclimatized living cells of C. glutamicum MTCC 2745 (original magnification, 5000×), (c) fresh NL/MnFe2O4 composite, (d) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage, (e) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage, (f) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage and (g) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage (original magnification, 500×).
Figure 13
Scanning electron micrographs (SEM) and EDX of (a) As(III) acclimatized living cells of C. glutamicum MTCC 2745 at loaded stage, (b) As(V) acclimatized living cells of C. glutamicum MTCC 2745 (original magnification, 5000×), (c) fresh NL/MnFe2O4 composite, (d) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage, (e) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage, (f) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage and (g) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage (original magnification, 500×).
Scanning electron micrographs (SEM) and EDX of (a) As(III) acclimatized living cells of C. glutamicum MTCC 2745 at loaded stage, (b) As(V) acclimatized living cells of C. glutamicum MTCC 2745 (original magnification, 5000×), (c) fresh NL/MnFe2O4 composite, (d) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage, (e) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage, (f) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage and (g) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage (original magnification, 500×).
Figure 13
Scanning electron micrographs (SEM) and EDX of (a) As(III) acclimatized living cells of C. glutamicum MTCC 2745 at loaded stage, (b) As(V) acclimatized living cells of C. glutamicum MTCC 2745 (original magnification, 5000×), (c) fresh NL/MnFe2O4 composite, (d) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage, (e) As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage, (f) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at unloaded stage and (g) As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite at loaded stage (original magnification, 500×).

4.13.2

4.13.2 FT–IR analysis

The adsorption capacity of heavy metal on various adsorbents depends on the presence of several active functional groups onto the surface of adsorbent. The Fourier Transform Infrared spectra (FT–IR) study of fresh NL/MnFe2O4 composite as well as As(III) acclimatized C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite at unloaded and metal loaded stage (Fig. 14(a)) and fresh NL/MnFe2O4 composite plus As(V) acclimatized C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite at unloaded and metal loaded stage (Fig. 14(b)) at optimized batch experimental condition were observed for identifying the function groups responsible mainly for the process of biosorption/bioaccumulation. Tables S4 and S5 of Supplementary material specify the wavenumber for the many functional groups present in the fresh NL/MnFe2O4 composite and As(III) acclimatized C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite at As(III) unloaded and loaded stage and fresh NL/MnFe2O4 composite and As(V) acclimatized C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite at As(V) unloaded and loaded stage, respectively. Surface —OH and —NH groups were main active functional groups answerable for biosorption/bioaccumulation as the wavenumber shifted from 3430.796 cm−1 to 3436.582 cm−1 (As(III)) and from 3436.582 cm−1 to 3426.977 cm−1 (As(V)) which may be probably owing to the complexation of —OH groups with As(III) or As(V) ions (Pangnanelli et al., 2000; Ray et al., 2005; Allievi et al., 2011; Singha and Das, 2011). Some researchers have also specified that after the adsorption arsenic on the Fe—Ce and Fe—Mn adsorbents, the peak of hydroxyl groups reduced or vanished (Zhang et al., 2005, 2007). Aliphatic C—H stretching may be responsible for biosorption/bioaccumulation of As(III) and As(V) onto NL/MnFe2O4 composite as wavenumber shifted from 2919.69 cm−1 to 2924.651 cm−1 and from 2921.673 cm−1 to 2919.69 cm−1, respectively, possibly owing to the complexation of C—H stretching vibration of alkyl chains. Aldehyde C—H stretching may be responsible for biosorption/bioaccumulation of As(III) and As(V) onto NL/MnFe2O4 composite as wavenumber shifted from 2854.176 cm−1 to 2852.093 cm−1 and from 2854.176 cm−1 to 2852.093 cm−1, respectively. Tables S4 and S5 of Supplementary material also display the responsibility of aliphatic acid C⚌O stretching for As(III) and As(V) biosorption/bioaccumulation by shifting the wavenumber from 1728.992 cm−1 to 1735.647 cm−1 and from 1737.576 cm−1 to 1729.612 cm−1, respectively (Singha and Das, 2011). The next biosorption/bioaccumulation peaks at 1640.93 cm−1 shifted to 1635.969 cm−1 for As(III) and 1640.93 cm−1 shifted to 1635.366 cm−1 for As(V), perhaps due to the complexation of amide group (N—H stretching and C⚌O stretching vibration) with As(III) and As(V) ions (Seki et al., 2005). Wavenumber shifted from 1629.58 cm−1 to 1631.008 cm−1 (As(III)) and from 1630.388 cm−1 to 1620.465 cm−1 (As(V)) which gave the reactivity of unsaturated group like alkene for the biosorption/bioaccumulation process. Tables S4 and S5 of Supplementary material also exhibit the intense bands at 1527.37 cm−1 and 1554.369 cm−1 which shifted to 1532.403 cm−1 (As(III)) and at 1548.583 cm−1, shifted to 1517.727 cm−1 (As(V)), respectively, that indicated the responsibility of aromatic —NO2 group for the biosorption/bioaccumulation process, respectively. Another shift was detected from 1449.302 cm−1 to 1459.845 cm−1 (As(III)) and from 1449.302 cm−1 to 1452.158 cm−1 (As(V)), corresponding to the complexation of nitrogen with As(III) and As(V) ions of the N—H group (Kumari et al., 2006; François et al., 2012). Wavenumber shifted from 1428.837 cm−1 to 1438.76 cm−1 (As(III)) and from 1428.837 cm−1 to 1439.38 cm−1 As(V) assigned the reactivity of alkane group for the biosorption/bioaccumulation process (Baig et al., 2010). Wavenumber shifted from 1154.729 cm−1 to 1164.651 cm−1 (As(III)) and from 1162.884 cm−1 to 1164.651 cm−1 (As(V)) assigned the reactivity of sulphonyl chloride stretching for the biosorption/bioaccumulation process (Baig et al., 2010). Wavenumber 1116.6 cm−1 shifted to 1118.14 cm−1 and 1110.814 cm−1 shifted to 1112.743 cm−1 assigned for C—S stretching for the biosorption/bioaccumulation of As(III) and As(V), respectively. The peaks at 1061.08527 cm−1 (As(III)) and 1056.124 cm−1 As(V) may be attributed to the C—N stretching vibrations of amino groups which shifted to higher frequency and appeared at 1051.031 cm−1 and 1052.959 cm−1, respectively, due to the interaction of nitrogen from the amino group with As(III) and As(V) ions (Baciocchi et al., 2005; Giri et al., 2011). The other weak biosorption/bioaccumulation peak shifted from 890.543 cm−1 to 833.488 cm−1 (As(III)) and from 890.543 cm−1 to 906.047 cm−1, corresponding to the O—C—O scissoring vibration of polysaccharide (Merroun et al., 2005; Pokhrel and Viraraghavan, 2007).The band at 599.763 cm−1 (Fig. 14(a)) and 603.62 cm−1 (Fig. 14(b)) could be attributed to the existence of Fe—O bond (McCafferty, 2010; Ren et al., 2012), but then it shifted to 610.853 cm−1 after biosorption/bioaccumulation of As(III) (Fig. 14(a)) and to 593.977 cm−1 after biosorption/bioaccumulation of As(V) (Fig. 14(b)), respectively. A typical peak at 565.05 cm−1 (Fig. 14(a)) and 590.388 cm−1 (Fig. 14(b)) could be assigned to Mn—O bond (Kohler et al., 1997; Parida et al., 2004) and it had a different variability to 574.884 cm−1 (Fig. 14(a)) and 532.265 cm−1 (Fig. 14(b)) for biosorption/bioaccumulation of As(III) and As(V), respectively. The change in wavenumber of Me—O bonds after biosorption/bioaccumulation of As(III) and As(V) indicated that both Fe—O and Mn—O bonds were responsible for both MnFe2O4–As(III) and MnFe2O4–As(V) (Li et al., 2010; Ren et al., 2012). Presence of As(III) and As(V) on the immobilized bacterial cells can be assured from the bands appeared at 782.016 cm−1 (Fig. 14(a)) and 828.527 cm−1 (Fig. 14(b)), respectively (Mondal et al., 2007b; Zhang et al., 2009; Aryal et al., 2010). It has to be cited here, that a clear band was very hard to be got in the case of As(III), compared with the distinctive band of As(III) found at 782.016 cm−1 and As(V) found at 828.527 cm−1. This may be because of different mechanisms involved in As(III) and As(V) biosorption/bioaccumulation. It should be distinguished that the As—O band after biosorption/bioaccumulation of arsenic was not clearly observed because of the broad overlapping peaks in this region (Li et al., 2010).

FT–IR spectra of (a) fresh NL/MnFe2O4 composite (MNL), As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite before and after As(III) biosorption/bioaccumulation, (b) fresh NL/MnFe2O4 composite (MNL), As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite before and after As(V) biosorption/bioaccumulation.
Figure 14
FT–IR spectra of (a) fresh NL/MnFe2O4 composite (MNL), As(III) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite before and after As(III) biosorption/bioaccumulation, (b) fresh NL/MnFe2O4 composite (MNL), As(V) acclimatized C. glutamicum MTCC 2745 immobilized on NL/MnFe2O4 composite before and after As(V) biosorption/bioaccumulation.

4.14

4.14 Viability of bacteria after immobilization

Biosorbent containing (5% v/v) C. glutamicum MTCC 2745 cells was placed on the nutrient agar plates and incubated at 30 °C. After 24 h at this temperature, bacterial cells were detected spreading away from the cut edge of the biosorbent and colony like growth (small areas of butter-textured growth) was observed on the surface of the biosorbent.

The synthetic medium in the flask had turned milky also specifying significant bacterial growth in the flask. This indicated that the bacterial cells survived the immobilization process. Scanning electron micrograph of the bacteria after 24 h of growing in the liquid medium (Fig. 15) is shown.

Scanning electron micrographs (SEM) and EDX of (a) As(III) acclimatized living cells of C. glutamicum MTCC 2745 after cutting, (b) As(V) acclimatized living cells of C. glutamicum MTCC 2745 after cutting (original magnification, 10,000×).
Figure 15
Scanning electron micrographs (SEM) and EDX of (a) As(III) acclimatized living cells of C. glutamicum MTCC 2745 after cutting, (b) As(V) acclimatized living cells of C. glutamicum MTCC 2745 after cutting (original magnification, 10,000×).

5

5 Conclusions

  • The present study exhibited that the C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite was applied profitably for the biosorption/bioaccumulation of both As(III) and As(V) from synthetically prepared copper smelting wastewater.

  • The optimum contact time and temperature for biosorption/bioaccumulation of both As(III) and As(V) were 240 min and 30 °C, respectively.

  • Contact time desired for achievement of equilibrium enhanced with increasing concentration, though remained almost unaffected by raising temperature.

  • The rate of biosorption/bioaccumulation of both As(III) and As(V) by C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite reduced with increasing concentration.

  • By applying 14 different kinetic models and using method of the nonlinear regression for curve fitting analysis (maximizing the correlation coefficient (R, R2, R 2 ) and minimizing the error values (SSE, Reduced χ2 and Root-MSE)) to evaluate optimum parameter sets, the Brouser–Weron–Sototlongo and Fractal-like pseudo second order models were found appropriate to forecast the kinetic of biosorption/bioaccumulation of both As(III) and As(V) onto C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite according to GoFM values.

  • The current experimental data also followed pseudo second order model very well, hence it can be concluded that chemisorption was the possible route of biosorption/bioaccumulation on immobilized bacterial cells.

  • The results attained from different mechanistic models indicated the controller of film diffusion over pore diffusion.

  • The effective diffusivity estimated by using Vermeulen’s approximation was indicated that the interaction between arsenic ions (either As(III) or As(V)) and immobilized bacterial cells was chemical in nature.

  • The related thermodynamic parameters revealed that the biosorption/bioaccumulation of both As(III) and As(V) had been a feasible and exothermic process and spontaneous in nature.

  • From Arrhenius equation, it was established that the mechanism of biosorption/bioaccumulation of As(III) and As(V) by C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite might be an ion exchange type.

  • EDX analysis recognized the presence of iron and manganese in the NL/MnFe2O4 composite and it also established the fact that both As(III) and As(V) were biosorbed/bioaccumulated onto the immobilized bacterial cells.

  • Spectroscopic studies (Fe-SEM and FT-IR) confirmed that ion exchange process was responsible for the uptake of arsenic (As(III) or As(V)) onto immobilized bacterial cells.

  • C. glutamicum MTCC 2745 immobilized on surface of NL/MnFe2O4 composite can be used as a proficient biosorbent for removal of both As(III) and As(V) from contaminated water sources.

Acknowledgment

We would like to thank Indian Institute of Technology, Roorkee, for providing necessary facilities and Ministry of Human Resource Development, Government of India, for financial support.

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Appendix A

Supplementary material

Supplementary data associated with this article can be found, in the online version, at http://dx.doi.org/10.1016/j.arabjc.2015.08.025.

Appendix A

Supplementary material

Supplementary data 1

Supplementary data 1

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