1 Introduction

The issue of water pollution has emerged as a significant global concern, mainly because of industrialization and the discharge of industrial waste into waterways [1]. Among the various sources of water pollution, dye pollution from industries such as textiles, paints, leather, cosmetics, food, paper, and pharmaceuticals are particularly concerning [2]. The textile industry produces 10% of the worldwide dye output, with a staggering 0.8 million tons of diverse hues generated annually [3]. Methyl orange (M.O), a water-soluble anionic azo dye, is commonly used in several industries, including textiles, paints, food processing, and paper manufacturing [4]. According to a survey, the textile, pharmaceutical, leather, and plastic industries annually dispose of 50,000 tons of dyes in the water [5]. Numerous methods have been employed to remove dyes from wastewater, including physicochemical, physical, chemical, adsorption, biological, and electrochemical [5]. Among these methods, adsorption is regarded as one of the most effective wastewater treatment techniques due to its high removal efficiency and straightforwardness [6]. In recent years, magnetic nanosorbents, such as nZVI and bimetallic iron compounds, have been the subject of extensive research for their potential to remove both organic and inorganic contaminants, including chlorinated ethane, hydrocarbons, poly- and monoaromatic hydrocarbons, and polychlorinated biphenyls [7,8,9]. Various nanotechnologies have been developed to remove pollutants such as phosphate, nitrate, sulphate, and phosphorus from wastewater [10,11,12]. Iron-based particles coated with metals such as Ni, and Cu, Fe0 have been shown to exhibit increased reactivity. CPC, starch, CMC, and guar gum have also been stabilizers for colloidal systems. Bimetallic nanoparticles represent an efficient adsorbent due to their ability to combine the characteristics of two metals and additional ones, resulting in a bimetallic molecule [10]. The size, structure, and morphology of bimetallic nanoparticles significantly affect their performance. The composite material's reducing ability and surface reactivity for eliminating organic molecules and impurities can be enhanced by adding a modest amount of transition metals to nZVI [13]. Furthermore, adsorbents derived from agricultural waste, such as fava beans, raw algae, and bagasse pulp, are highly effective in removing colour from wastewater while generating minimal byproducts. The extraction of sugar from sugarcane bagasse yields sugarcane bagasse pulp, a plentiful waste product resulting from the decline of the paper industry due to the growing popularity of e-books and other forms of online education. Sugarcane bagasse pulp is widely employed in the paper industry due to its cellulose structure, availability, and low cost. Researchers have recently evaluated the adsorption efficiency of citrate-modified sugarcane bagasse pulp for removing methyl orange (MO) under varying conditions, reporting a maximum removal efficiency of 96.42%. These findings suggest that using sugarcane bagasse pulp and its derivatives as an effective adsorbent for MO removal represents a promising avenue for further research [14]. Although raw sugarcane bagasse lacks the mechanical properties required for use as a membrane material, it can still be used for membrane production through various processes such as electrospinning, phase inversion, and dip coating [15]. Used adsorbents can pollute the environment, making disposal difficult. The type of adsorbent material and the impurities absorbed determine the disposal process. The composite sheet employed to remove Methyl Orange (MO) dye can be disposed of safely. The composite sheet is made from agricultural waste, making it sustainable, biodegradable and non-toxic, the composite sheet can be composted or recycled. However, the adsorbent may contain residual contamination and should be treated carefully. Before disposal, the adsorbent can be cleaned with solvents. For environmental compliance, follow local trash disposal requirements. Disposing of spent adsorbents after field application should limit environmental impact and follow appropriate legislation and recommendations [16]. The present study investigated the MO removal performance of sugarcane bagasse pulp and characterized its structural and surface topography. The adsorption process is influenced by adsorbent concentration, temperature, contact time, pH, starting dye concentration, and particle size. Activated carbon's high specific surface area and porosity of 800 m2/g enhance its adsorption capacity [17]. However, previous optimization studies employed one-factor-at-a-time (OFAT) experiments, and interaction models such as Response Surface Methodology (RSM) and Artificial Neural Network (ANN) combined with optimization algorithms are more efficacious [18]. ANN models can learn linear, nonlinear, and complex variable relationships [19]. In this study, an ANN model was utilized to predict the removal efficiency of MO, and the Moth search algorithm (MSA), a metaheuristic algorithm, was applied to the ANN model to determine the optimal conditions resulting in maximum removal efficiency. Metaheuristic algorithms simulate biological or physical phenomena and can solve optimization problems [20]. The present study explores composite sheets derived from processed agricultural and marine waste for their ability to remove industrial contaminants from aqueous solutions. Langmuir, Freundlich, Sips, Temkin, Fritz-Schlunder, and Redlich-Peterson isotherm adsorption models were employed to understand the adsorption mechanism. In addition, Laguerre pseudo-first order, pseudo-second order, Elovich, and intra-particle diffusion kinetics were examined to understand the adsorption rates and mechanisms. The characterization of the adsorbent bio-composite was carried out using FT-IR and SEM before and after adsorption. A prior study [21] used a polyaniline-based nano-adsorbent to remove Methyl Orange (M.O). The removal efficiency was predicted using RSM, and ANN and DEO were employed to improve the removal efficiency forecasts, outperforming the RSM technique. However, maximal removal efficiency was not assessed in this study. In another study [22], ANN was used to predict the M.O removal effectiveness using polyaniline nano-adsorbent, and OFAT trials were carried out to determine the optimal settings. Additionally, RSM identified the most critical factor affecting removal efficiency. Furthermore, a study was conducted on the Genetic Algorithm (GA) to determine the parameters and orders of three fractional-order chaotic systems [23].

2 Materials

2.1 Collection of adsorbent and adsorbate

The materials utilized in this study include ferric chloride hexahydrate (FeCl3.6H2O, 97% purity, LOBA Chemie), copper chloride dihydrate (CuCl2.2H2O, BIOCHEM), activated charcoal (LOBA Chemie), ethanol (C2H5OH), sodium borohydride (NaBH4, 95% purity, ADVENT), and (M.O). All chemicals and reagents employed in this investigation are of high quality. Deionized water was utilized in all experiments. Sargassum dentifolium algae were collected from the Red Sea Coast in Ras Ghareb, Egypt.

2.2 Preparation of sugarcane bagasse pulp support

To prepare the composite sheets, starch (20 g) was blended with humid sugarcane bagasse pulp (60 g), followed by the addition of glycerol (47 g) and water (60 g) to the mixture. The components were thoroughly mixed using a magnetic stirrer for 15 min at 150 °C and 200 rpm. Alkyl ketene dimer (AKD) at a concentration of 3% w/w was subsequently added to enhance the strength of the fabricated sheets.

2.3 Preparation of the composite sheets

7 g of activated carbon was mixed with 100 ml of deionized water and subjected to homogenization for 20 min. Subsequently, sheets of bagasse were combined with the activated carbon, and the resulting composite material was utilized in this investigation. The efficacy of the composite sheets in removing Methyl Orange (MO) was evaluated, and preliminary screening tests were conducted to identify the sheet with the highest removal efficiency (RE %) for mixed solutions of MO under uniform conditions of temperature, sheet size, and concentration. Isotherm and kinetic models were employed to gain insights into the adsorption mechanism of the selected composite sheet.

2.4 Preparation of bimetallic (Fe0-Cu)/algae activated carbon composites

The collected raw Sargassum dentifolium algae were washed, dried, and ground into fine particles. The resulting dried material was then utilized to prepare physical, and chemical activated carbon. For physical activation, the actual weight of the algae was placed in a muffle furnace at 400 °C for 1 h, followed by an increase in temperature to 600 °C for 2 h, and a subsequent reduction in temperature to 300 °C for 15 min [24, 25]. In contrast, chemical activation was performed by adding chemical activators (250 ml of 85% H3PO4 or 150 ml of 4 M H2SO4 homogeneous mixture) to 50 g of algae and mixing at ambient temperature to create a mixture, which was then carbonized for three hours at 600 °C, rinsed with deionized water until pH = 7 was attained, and dried in an oven at 110 °C [26, 27]. The synthesis of bimetallic Fe0-Cu, as illustrated in Eqs. (1, 2), was based on the chemical reduction and co-precipitation technique. Additionally, bimetallic (Fe0-Cu)/algae-activated carbon composites (AC-Fe0-Cu) were generated in-situ in a single step. In this study, a conical flask containing 0.1 M FeCl3.6H2O solution, 0.002 M CuCl2.2H2O solution, and 1 g/L of the prepared activated carbon (AC) was continuously stirred at 250 rpm. Subsequently, a 0.5 M sodium borohydride (NaBH4) solution was added dropwise from a burette. The solution was stirred for an additional 20 min after the complete addition of NaBH4 solution to ensure the completion of the iron ion reduction reaction in the solution. The resulting precipitate was then separated via filtration and washed multiple times with deionized water and ethanol. Finally, the product was dried at 70 °C and stored at room temperature under an ethanol layer [28, 29].

2.5 Material characterization

2.5.1 Fourier transform infrared spectroscopy (FT-IR)

Attenuated Total Reflectance Fourier Transform Infrared (FT-IR) spectroscopy was employed to examine the mid-infrared bands of the samples. A Tensor 27 (Bruker Optics) instrument was utilized for this purpose. Spectra were recorded at room temperature with 128 scans and a resolution of 4 cm−1. The spectra were vector-normalized over the entire wavelength range of 4000–400 cm−1 to eliminate any sample thickness or concentration variations. This analytical technique was used to investigate the chemical reactions in the wastewater samples.

2.5.2 Scanning electron microscopy (SEM)

The prepared composite sheets were mounted on a holder using Tissue Tek O.C.T compound and cooled to a solid nitrogen temperature under vacuum. The sheets were then fractured from the side using a platinum-coated blade, and the fractured surface was imaged using a Flex SEM 1000 II scanning electron microscope [30].

2.5.3 Dye removal experiments explanation

A stock solution of M. orange is prepared by dissolving 1g from the powder in 1L dist. H2O. Serial dilution is designed according to the applied concentration in the different batch experiments. Commercial activated carbon is purchased to be included in the experiments as a comparative study of prepared activated carbon. (M-ETKAL) 721 spectroscopy is applied to the determination of the.

The removal efficiency of the prepared composites was evaluated using 1000 ppm of Methyl Orange (M.O) dye. The concentration of M.O was determined using a UV–Vis spectrophotometer set at a wavelength of 465 nm. The removal efficiency is examined through different pH ranges (3, 5, 7, and 10), contact times from 15 to 180 min, and M.O concentrations from 50 to 500 ppm. The results of the time and concentration experiments were used to test isotherm and kinetics models. The removal percentages and the removed M.O dye quantity were calculated using Eqs. (1, 2):

$${\text{Sorption }}\left[ \% \right] \, = \, \left[ {{\text{C}}0 \, - {\text{ Ce}}} \right]/{\text{C}}0 \ast {1}00$$
(1)
$${\text{qe}}\left[ {{\text{mg}}/{\text{g}}} \right] \, = \, [\left[ {{\text{C}}0 \, - {\text{ Ce}}} \right] \ast {\text{V}}]/{\text{m}}$$
(2)

In this study, the equilibrium adsorption capacity (qe, mg/g) and equilibrium concentration of Methyl Orange (Ce, mg/L) were determined using the initial concentration of M.O solution (C0, mg/L), volume of M.O dye solution (V, L), and mass of the adsorbent (m, g), according to the following equation: qe = (C0–Ce) x V / m.

3 Results and discussion

3.1 Characterization of the adsorbent

3.1.1 TGA–DSC for sugarcane bagasse pulp

Figure 1 illustrates the thermogravimetric analysis (TGA) used to investigate bagasse pulp's thermal behavior. The TGA curve showed two distinct regions of weight loss. The first region started at room temperature and ended at around 166.59 °C, which is attributed to the evaporation of surface moisture. The second region, which started at around 167.82 °C and continued up to 975.03 °C, was attributed to the decomposition of the bagasse pulp's cellulose, hemicellulose, and lignin components.

Fig. 1
figure 1

TGA test for sugarcane bagasse pulp

3.1.2 Fourier transform infrared spectroscopy (FT-IR) results for bagasse composite sheet

Fourier Transform Infrared spectroscopy is a crucial characterization method to detect the surface functional groups of adsorbent materials. The spectra exhibit similar shapes in the characteristic vibration bands, with high-intensity bands observed between 3200 and 3700 cm−1 for O–H and N–H stretching vibrations. The stretching vibrations of aliphatic groups, represented by the symbol CH2, are observed at around 2920 cm−1. The bands at approximately 1500 and 1750 cm−1 can be attributed to the axial deformation of the C–O molecule, such as highly conjugated C–O stretching or C–O stretching in carboxyl groups. The C–O stretching of carboxylate and ether structures gives rise to bands at roughly 1200 cm−1. These functional groups play a significant role in the absorption of contaminating ions. In the case of natural activated carbon (CH sample), the emergence of peaks at 2890 cm−1 and 2827 cm−1 resulted in a new peak at 2903 cm−1. Furthermore, a new peak at 571 cm−1 was observed, while the peak intensity at 1045 cm−1 decreased, and the peaks at 1372 cm−1 and 1516 cm−1 disappeared (Fig. 4). The observed increase in peak intensity indicates a greater abundance of the functional group associated with the molecular bond, while the emergence of new peaks suggests the formation of new bonds resulting from chemical interaction between the pollutants and the sheets via chemical adsorption. These findings indicate that activated carbon possesses numerous functional groups that facilitate the adsorption of contaminant ions.

3.1.3 Scanning electron microscope (SEM) analysis for bagasse sheet

Scanning Electron Microscopy (SEM) is a powerful imaging technique that utilizes a high-energy beam of electrons to observe the surface morphology of materials [31]. Activated carbon is characterized by a porous structure, and the presence of these pores is responsible for its physical adsorption properties. The SEM analysis of the activated carbon coated with sugarcane bagasse pulp composite in the mixed form (Fig. 2) revealed the presence of numerous activated carbon pores. Consequently, physical adsorption occurs on the surface of the composite sheet, leading to the efficient removal of dye particles [11]. Scanning Electron Microscope analysis of the fabricated sugar bagasse pulp sheet is shown in Fig. 3. The surface morphology showed the presence of sugarcane bagasse pulp, starch, glycerol, and AKD. The glycerol particles were easily interpreted in the starch particles which means loss of the free active sites that can contribute to chemical adsorption of the dye’s particles. SEM analysis of the surface also showed pores’ absence. Therefore, there won’t be a place for physical adsorption to take place, and hence this sheet will show low removal efficiency.

Fig. 2
figure 2

SEM analysis of sugarcane bagasse pulp sheet coated with activated carbon

Fig. 3
figure 3

SEM analysis of sugarcane bagasse pulp sheet

Fig. 4
figure 4

FT-IR analyses of bagasse composite sheet before and after adsorption3.1.4 Fourier transform infrared spectroscopy (FT-IR) of raw algae-Fe0-Cu (Bi-RA) and H3PO4 chemical AC-Fe0–Cu

Fig. 5
figure 5

FT-IR analysis of raw algae-Fe0-Cu (Bi-RA) and H3PO4 chemical AC-Fe0–Cu

Fourier transform infrared (FT-IR) spectroscopy was employed to identify the functional groups present in the synthesized materials. The abundance of functional groups is a crucial factor contributing to the superior adsorption capacity of the adsorbents towards pollutants. Figures 4, 5, raw algae-Fe0–Cu and H3PO4 chemical AC-Fe0–Cu exhibited distinct functional groups. Raw algae-Fe0-Cu demonstrated a variety of functional groups, including the OH of carbohydrates at a wavelength of 3421 cm−1, the CH and CH2 aliphatic stretching at a wavelength of 2923 cm−1, and the Amide I of proteins at a wavelength of 1625 cm−1. Additionally, the peak of C–N of amide III was observed at a wavelength of 1273 cm−1, the peak of phosphatidylcholine at a wavelength of 928 cm−1, the peak of C–Cl at a wavelength of 685 cm−1, the peak of C–Br at a wavelength of 555 cm−1, and the peak of alkyl halides at a wavelength of 470 cm−1.

In contrast, the peaks of H3PO4 chemical AC-Fe0–Cu were observed at OH of carbohydrates at a wavelength of 3419 cm−1, CH and CH2 aliphatic bending group at a wavelength of 1308 cm−1, C–O–C polysaccharide at a wavelength of 1187 cm−1, and C–O–C polysaccharide at a wavelength of 1138 cm−1. The vibration of CO in the alcohol hydroxyl group was observed at a wavelength of 1025 cm−1, CH bending at a wavelength of 740 cm−1, and CH out of plane aromatic at 708 cm−1. Furthermore, the alkyl halides of C–Cl and C–Br were observed at 676 and 506 cm−1 wavelengths, respectively. These findings provide valuable insights into the molecular characteristics of the synthesized materials and their potential for efficient adsorption of pollutants.

3.1.4 Scanning electron microscopy (SEM) analysis of raw algae bi metallic sheet

Scanning Electron Microscopy (SEM) was employed to examine the surface morphology of the synthesized materials, and the results are presented in Fig. 6. Raw algae AC-Fe0-Cu exhibited irregular surfaces with spongy shapes. These results were consistent with the SEM analysis, which indicated aggregation of particles. However, accumulating particles as a sponge increases the surface area and enhances the materials' removal efficiencies towards pollutants. Moreover, the numerous functional groups observed in the FT-IR spectra of these materials suggested that the surface area reduction process was successful. The SEM analysis provided valuable insights into the synthesized materials' surface morphology and particle size distribution, crucial factors affecting their adsorption performance.

Fig. 6
figure 6

SEM Analysis of the prepared materials raw algae AC-Fe0–Cu (Bi-H3A-AC)

3.1.5 Adsorption experiments

3.1.5.1 Isotherm modeling

The isotherm models used in the present study were employed to fit the equilibrium data and determine the distribution of the adsorbate between the liquid and solid phases. The models included Langmuir, Freundlich, Sips, Temkin, Fritz–Schlunder, and Redlich-Peterson models. Each model is characterized by several constants that represent the material's surface properties and adsorption capacity. As shown in Fig. 5, the equilibrium data were fitted to each model, and the corresponding parameters were calculated and tabulated in Table 1. The goodness of fit of the models was evaluated based on the R2 and adjusted R2 values, presented in Table 2. The Temkin model adequately fits the experimental data, indicating that the adsorption mechanism is likely to involve uniform multilayer adsorption.

Table 1 Parameters of isotherm adsorption models
Table 2 Calculated error functions for isotherm and kinetic models

Four well-established kinetic models were examined to further analyze the kinetics of Methyl Orange (MO) adsorption onto the composite sheet, including the pseudo-first order, pseudo-second order, Elovich equation, and intra-particle diffusion models. The results presented in Table 3 demonstrate that the adsorption of MO onto the composite sheet was accurately described by the pseudo-first-order model, which suggests that the adsorption process is likely to be controlled by surface adsorption. Overall, the results suggest that the Temkin model and the pseudo-first-order kinetic model are appropriate for describing the adsorption behavior of MO onto the composite sheet and that the adsorption mechanism likely involves uniform multilayer adsorption and surface adsorption.

Table 3 Parameters of kinetics different models
3.1.5.2 Kinetics modeling

As shown in Fig. 7, the results of the study suggest that the synthesized adsorbents are adequate for the removal of M.O from aqueous solutions, and the investigation of the adsorption performance under varying experimental conditions provides valuable insights into the adsorption mechanism and the optimal conditions for efficient M.O removal.

Fig. 7
figure 7

MO kinetic model fitting

The observed concentration dependence of the adsorption capacity is consistent with the Langmuir isotherm, which describes the adsorption process absorbent layer coverage of adsorbate molecules on the adsorbent surface. The increase in adsorption capacity with increasing M.O concentration can be attributed to the availability of more adsorption sites on the adsorbent surface as the concentration of M.O in the solution increases.

The observed time dependence of the adsorption process is also consistent with the Langmuir isotherm, which assumes that the adsorption process reaches equilibrium after a certain period. The initial increase in adsorption capacity with increasing contact time can be attributed to the availability of more adsorption sites and the diffusion of M.O molecules from the bulk solution to the surface of the adsorbent. Once equilibrium is reached, a further increase in contact time does not significantly improve the adsorption capacity.

The observed pH dependence of the adsorption capacity can be attributed to the influence of pH on the adsorbent's surface charge and the adsorbate's ionisation. At pH 7, the adsorbent surface is neutral, and the M.O molecules are in their protonated form, allowing maximum electrostatic attraction between the adsorbent and adsorbate. At acidic pH values, the adsorbent surface becomes positively charged, which can repel the positively charged M.O molecules, resulting in decreased adsorption capacity. At fundamental pH values, the adsorbent surface becomes negatively charged, which can repel the negatively charged M.O molecules, also resulting in decreased adsorption capacity.

Overall, the study results are consistent with the Langmuir isotherm and provide valuable insights into the adsorption mechanism and the optimal conditions for efficient M.O removal. The synthesized adsorbents can be optimized for practical applications by controlling the experimental conditions such as concentration, contact time, and pH.

3.1.6 Screening test

A screening test was conducted to evaluate the removal efficiency of the various synthesized materials towards Methyl Orange (M.O) dye. This test involved subjecting 1 g of the adsorbent material to a 1000 ppm M.O solution with a volume of 1 L, followed by shaking for 3 h. The screening test serves as a preliminary assessment of the adsorption performance of the materials towards M.O dye. It provides a basis for further investigation into the adsorption mechanism and optimal experimental conditions for the efficient removal of M.O dye.

3.1.6.1 Optimization results.

Figure 8a depicts removing Methyl Orange (M.O) dye at 15 to 60 g/l concentrations and a three-hour contact time. The findings revealed that the bio-composite mixed sheet containing 60 g had a significantly high removal rate of approximately 87, 92, and 96%. Interestingly, the screening experiments showed that the raw algae AC-Fe0-Cu exhibited the highest capacity for M.O dye removal among the various synthesized materials examined. To further explore the optimal adsorption conditions, experiments were conducted with M.O solutions of 500 ppm and a dose of 1 g/l of the adsorbents under constant shaking at 120 rpm at room temperature. The pH values varied between 3, 5, 6, and 8; the results were presented in Fig. 8b. The pH study revealed that the raw algae AC-Fe0-Cu had an optimal pH of 3 for M.O dye removal.

Fig. 8
figure 8

Optimization parameter results of (a) dose, (b) ph, (c) concentration and (d) Time for the removal efficiency of M.O using raw algae AC-Fe0–Cu. sheet

Additionally, the adsorption performance was evaluated under varying M.O concentrations ranging from 50 to 500 ppm, and the results are presented in Fig. 8c. The maximum removal efficiency of the raw algae AC-Fe0-Cu was 50% at 500 ppm. These findings provide valuable insights into the optimal experimental conditions for efficiently removing M.O dye using synthesized materials. Furthermore, the removal efficiency of M.O dye was evaluated at different contact times spanning 15 to 180 min using 1 g/l of the adsorbents, and the results were plotted against the removal efficiency of M.O and displayed in Fig. 8d. The findings showed that the removal efficiency increased with time and reached a maximum after 120 min, with a removal efficiency of 87.4% for the AC-Fe0-Cu sheet.

3.1.6.2 Comparative study on adsorption efficiency of the control group without sheets Treatment

A comparative study on the MO dye and without treating with fabricated sheets was evaluated under optimum experimental conditions..it was noticed that using the control group, the estimated values of the final concentration and the dye removal efficiency were 7 mg/L and 70%, respectively. Figures 9, 10, 11 represents the control group of untreated dye under different temperature conditions and PH value.

Fig. 9
figure 9

PH test for untreated dye

Fig. 10
figure 10

Temperature test for untreated dye

Fig. 11
figure 11

The regression plot for the adsorption by raw algea − Fe0

3.1.7 Modelling and optimization

Mathematical modelling was employed to establish the relationship between the removal efficiency of pollutants and the three factors, namely concentration, time, and dose. Response Surface Methodology (RSM) and Artificial Neural Network (ANN) models were utilized to predict the sremoval efficiency under varying conditions of the factors. These models were optimized to identify the maximum removal efficiency and the corresponding factor values. The optimization of the ANN model was performed using the Moth Search Algorithm (MSA). The results obtained from these optimization techniques were experimentally validated. In addition, isotherm and kinetic models were employed to gain insights into the chemical characteristics of the adsorption process. These models provided valuable information on the adsorption type and the adsorbent's surface properties. Furthermore, the maximum number of pollutants that can be absorbed was estimated using these models [32]. Using these modelling techniques provides a systematic approach to optimizing adsorption and gaining insights into the underlying chemical mechanisms.

3.1.7.1 Response surface methodology (RSM)

Response Surface Methodology (RSM) is a statistical technique utilized to establish a mathematical model that relates the response (dependent variable) to the factors (independent variables). In the present study, the removal efficiency was considered the response, while the concentration, time, and dose were selected as the factors of interest. The low and high levels for each factor were determined, as presented in Table 4. The Face Central Composite Design (FCCD) was chosen as the experimental design, and 20 runs with six centre points were conducted. The FCCD was generated using the Design Expert Software, and the laboratory performed the experimental runs. The removal efficiency was evaluated for each run and recorded, and the resulting data were fitted to a quadratic model using the Design Expert Software [33]. The utilization of RSM and FCCD provides a systematic approach to optimizing the experimental conditions and generating a mathematical model to predict the removal efficiency under varying conditions of the factors.

Table 4 The low and high levels for Concentration, dose, and time
3.1.7.2 RSM for M.O removal by raw algae-Fe0−Cu

The data in Table 5 fits the quadratic model, as follow:

$$\begin{gathered} y = {96}.{22} + 0.00{58}x_{1} + {7}.{82}x_{2} - 0.{28}x_{3} - 0.00{49}x_{1} x_{2} \hfill \\ - 0.000{29}x_{1} x_{3} + \, 0.0{16}x_{2} x_{3} + \, 0.0000{87}x^{2} - {3}.0{18}x^{2} + \, 0.00{19}x^{2} \hfill \\ \end{gathered}$$
(3)

where x1, x2, x3 are the removal efficiency, concentration, dose, and time, respectively. The quadratic model is suggested, as shown in Table 6. The quadratic model is selected to fit the data, so the optimum and the interactions between the factors can be evaluated. The quadratic model is not aliased as in the cubic model, and it has R2 = 0.7538.

Table 5 The fit summary for the adsorption of M.O by raw algae-Fe0 − Cu
Table 6 The fit summary for the adsorption of M.O by H3PO4 chemical AC−Fe0−Cu
3.1.7.3 RSM for M.O removal by H3PO4 chemical AC − Fe0 − Cu

The data in Table 7 fits the quadratic model, as follow:

$$\begin{gathered} {\text{logit}}\left( {\text{y}} \right) \, = { 5}.{489 } - \, 0.00{\text{6589x}}_{1} - { 1}.{\text{327x}}_{2} - \, 0.0{38}0{\text{6x}}_{3} + \, 0.00{\text{3575x}}_{1} {\text{x}}_{2} \hfill \\ - { 5}.{324 } \times { 1}0^{ - {6}} {\text{x}}_{1} {\text{x}}_{3} + \, 0.00{99}0{\text{1x}}_{2} {\text{x}}_{3} - { 2}.{2458 } \times { 1}0^{ - {7}} {\text{x}}^{2} - \, 0.0{19}0{\text{38x}}^{2} + \, 0.000{\text{19x}}^{2} \hfill \\ \end{gathered}$$
(4)

where y, x1, x2, x3 are the removal efficiency, concentration, dose, and time, respectively. The data undergoes a Logit transformation as a preprocessing step to address nonlinearity and heteroscedasticity issues. Subsequently, a quadratic model is proposed, as indicated in Table 6. This model is deemed suitable for capturing the complexity of the data, enabling the assessment of both the optimum and the interactions between the factors. Notably, the quadratic model is preferred over the cubic model due to its non-aliasing property, which ensures that the model parameters can be uniquely estimated.

Table 7 Comparison between nonlinear kinetic models for adsorption using raw algae Fe0 Cu to remove M.O]
3.1.7.4 Artificial neural network (ANN)

The data presented in Tables 8 and 9 serve as the input data for the Artificial Neural Network (ANN) implemented using MATLAB R2019a. The ANN architecture comprises an input layer, a hidden layer, and an output layer. Before training the network, the input data is normalized to the range of [0,1], and the number of neurons in the hidden layer is determined based on the minimum Mean Square Error (MSE) criterion. Notably, the ANN model yields superior performance, as evidenced by the higher R-squared (R2) values obtained compared to those obtained using the Response Surface Methodology (RSM), as shown in Figs. 11 and 12. To obtain the optimal parameter settings that maximize the removal efficiency, the ANN is further optimized using the Moth Search Algorithm (MSA), which is a Metaheuristic algorithm that has found successful applications in various domains, such as the optimized edge detection technique for brain tumor detection in MR images [34] and the design and implementation of an optimized artificial human eardrum model [35]. The results of the optimization process denoted as ANN + MSA, are presented in Table 10. Specifically, the optimal combination of raw algae, Fe0, and Cu yields a maximum removal efficiency of 92.64%.

Table 8 The FCCD for the adsorption of M.O by raw algae Fe0Cu, RSM predicted value, RSM residual, ANN predicted value, and ANN residual
Table 9 The FCCD for the adsorption of M.O by H3PO4 chemical ACFe0Cu, RSM predicted value, RSM residual, ANN predicted value, and ANN residual
Fig. 12
figure 12

The regression plot for the adsorption by H3PO4chemical AC–Fe0

Table 10 The optimization results
3.1.7.5 Kinetic models

The Pseudo First Order (PFO), Pseudo Second Order (PSO), and Intra-particle diffusion models were used to curve-fit the data from the laboratory time-dependent studies. For instance, the rate constant (K) values from the Pseudo 1st and 2nd order models can be used to assess M.O. adsorption onto adsorbents and estimate qe at different contact times. This knowledge can be utilized to design the process and establish the ideal contact time for adsorption. The intra-particle diffusion model shows how rapidly M.O. molecules enter the adsorbent material's holes and how well it operates. By modifying the adsorbent material's particle size, shape, and surface characteristics, this knowledge can increase diffusion and adsorption capacity. A thorough study revealed that PFO and PSO models accurately represent Methyl Orange (M.O) adsorption onto raw algae − Fe0−Cu, as shown in Table 7 by superior goodness-of-fit statistics.

The isotherm analysis showed that chemisorption occurs during adsorption, and the PSO model fit the experimental data well. The isotherm study and PSO model fit revealed chemisorption of H3PO4 chemical AC-Fe0−Cu, as shown in Table 11. Table 12 shows the curve-fitting analysis-estimated kinetic parameters, which reveal the maximal adsorption capacity.

Table 11 Comparison between nonlinear kinetic models for adsorption using H3PO4 chemical AC−Fe0−Cu to remove M.O
Table 12 kinetic parameters for different models for adsorption using raw algea−Fe0−Cu and H3PO4 chemical AC−Fe0−Cu to remove M.O

Optimize adsorption with equilibrium isotherm models and thermodynamic parameters using kinetic parameters.

3.1.7.6 Isotherm models

The concentration experiments were implemented in the lab, and the data fits Langmuir, Freundlich, Temkin, and Dunbinimm-Radushkeivch (D.R.). Temkin and Freundlich are the best fit for the adsorption of M.O. by raw algae − Fe0−Cu, as shown in Table 13. The free energy calculated from the D.R. model is higher than 8, as shown in Table 14. Therefore, this adsorption is chemisorption. Temkin and D.R. are the best fit for the adsorption of M.O. by H3PO4 chemical AC-Fe0−Cu, as shown in Table 15. The free energy calculated from the D.R. model is higher than 8, as shown in Table 16. Therefore, this adsorption is chemisorption.

Table 13 Isothermal models comparison for raw algea−Fe0Cu adsorption of M.O
Table 14 Advantages and disadvantages of the adsorbents used in methyl orange removal
Table 15 Isothermal models comparison forH3PO4 chemical algae ACFe0Cu adsorption of Methyl orange
Table 16 Isothermal adsorption parameters for raw algea−Fe0−Cu and H3PO4 chemical AC−Fe0−Cu adsorption of M.O.

3.2 Comparison of adsorption capacities and properties of different adsorbents for methyl orange dye removal

The maximum adsorption capacities reported in the literature for different adsorbents, such as activated carbon [36], chitosan/rectorite/carbon nanotubes composite [37], and fly ash modified by Ca (OH)2/Na2FeO4 [38], are 50.8 mg/g, 67.9 mg/g, and 71.63 mg/g, respectively. Using agricultural waste as an alternative adsorbent for MO removal is highly desirable due to the low cost and availability of such materials.

Activated carbon is a widely used adsorbent due to its high surface area and porosity, providing many active adsorption sites. However, producing activated carbon typically involves high-temperature carbonization, which can result in high energy consumption and greenhouse gas emissions. Chitosan/rectorite/carbon nanotube composite is a promising adsorbent due to its high adsorption capacity and the synergistic effects of the three components [5]. However, the synthesis process is more complex and may be more expensive than other adsorbents. Fly ash modified by Ca (OH)2/Na2FeO4 is an effective adsorbent due to the high reactivity of fly ash and the formation of iron oxide species on the surface, which enhance the adsorption capacity. However, using fly ash as an adsorbent may raise concerns about the potential leaching of heavy metals and other contaminants. Table 14 explains the Advantages and disadvantages of the adsorbents used in methyl orange removal.

The composite sheet used in the present study offers a high adsorption capacity for MO dye and utilizes agricultural waste as a sustainable and low-cost alternative. However, the properties of the composite sheet, such as stability and reusability, need to be further investigated to determine its suitability for large-scale applications.

3.3 Regeneration after adsorption

Regeneration of adsorbents after adsorption is a crucial aspect of the adsorption process, as it can increase the economic and environmental sustainability of the process. Regeneration involves the removal of the adsorbed contaminants from the surface of the adsorbent, which allows the adsorbent to be reused for further adsorption cycles. The efficiency of the regeneration process depends on various factors, such as the type and concentration of the desorbing agent, contact time, and temperature [36].

The present study used a composite sheet derived from agricultural waste as an adsorbent for removing Methyl Orange (MO) dye from aqueous solutions. The composite sheet's maximum adsorption capacity was 71.63 mg/g under the given experimental conditions. The composite sheet's regeneration can be achieved by desorbing the dye molecules from the surface of the adsorbent using a suitable desorbing agent.

The choice of desorbing agent depends on the nature of the adsorbed molecules and the properties of the adsorbent material. Ethanol, methanol, and acetic acid are commonly used desorbing agents. The desorption efficiency of the composite sheet can be evaluated by measuring the amount of dye molecules desorbed from the surface of the adsorbent. The regenerated adsorbent can then be reused for further adsorption cycles, reducing the need for additional adsorbent material, and increasing the economic sustainability of the adsorption process.

However, it is essential to note that the regeneration process can also have negative environmental implications, as the desorbing agent and the desorbed contaminants may need to be disposed of appropriately. The choice of desorbing agent should be made based on its environmental impact and compatibility with local waste disposal regulations. Additionally, the efficiency of the regeneration process should be evaluated against the potential environmental impact of the desorbing agent.

In the regeneration experiment, the spent H3PO4 activated carbon sample, which has been used for adsorption, is collected, ensuring proper storage and labelling. A desorption solution is prepared by dissolving 1g of MO powder in 1 litter of water, resulting in a concentration of 1g per litter of MO solution. The MO powder is carefully dissolved in the water to ensure complete dissolution. Subsequently, 1g of the spent H2PO4 activated carbon is placed in a container or beaker, and the prepared MO solution is added, ensuring full immersion of the activated carbon in the desorption solution. The desorption time is set at 180 min based on the determined optimum time for desorption in the study. To facilitate the desorption process, the mixture of H2PO4 activated carbon and MO solution is stirred or agitated using a magnetic stirrer, mechanical shaker, or manual stirring with a glass rod. The mixture is allowed to remain in contact for the specified desorption time of 180 min to enable sufficient MO desorption from the activated carbon. After the desorption period, the H2PO4 activated carbon is separated from the MO solution using filtration or centrifugation techniques, ensuring the regenerated activated carbon is separated from the desorbed MO solution. The regenerated activated carbon is then rinsed with distilled water to remove any residual MO solution or contaminants from the desorption process, ensuring the removal of impurities and restoration of the activated carbon's adsorption capacity. Finally, the regenerated H2PO4 activated carbon is dried thoroughly to remove any remaining moisture. Drying can be achieved using methods such as an oven, vacuum oven, or other suitable drying techniques, ensuring the activated carbon is completely dry to prevent microbial growth or degradation during storage. The maximum removal efficiency of the prepared material, as estimated by the removal efficiency equation as mentioned in Eq. 4 was found to be 50% after regeneration process with 3 trial each trial takes optimum time 180 min consider the removal efficiency of H3PO4 material before regeneration was found to be 85.71% The observed decrease in the measured MO dye concentration can be explained by several factors. Initially, the activated carbon can’t effectively absorb a significant amount of MO dye from the solution. However, as the treatment continued, the activated carbon reached its adsorption capacity, and any additional MO dye present in the solution was no longer effectively adsorbed. This saturation of the adsorption sites on the activated carbon surface could explain the subsequent increase in the measured MO dye concentration.

3.4 Cost estimation of adsorbent preparation

This present research work involved the use of methyl orange dye. Bimetallic Fe0-Cu/Algae Activated Carbon Composites, raw algae-Fe0-Cu, and bagasse-activated carbon. To maximize the efficiency of dye removal, activated carbon was prepared from sugarcane bagasse pulp waste and raw algae. Different parameters were examined, and mathematical models were used to determine the effect of the interaction of variables. Since the adsorbent powder is difficult to regenerate, Adsorptive membranes were fabricated from sugarcane bagasse pulp and the prepared activated carbon. Different techniques were used for fabrication. Removal efficiency reached 99.1% and was achieved. The following table illustrates organic solvents used in the regeneration process (Table 17). Organic solvents, acids, and redox agents are expensive materials. After the regeneration process, organic solvents must be recycled to use again. Bagasse is considered a solid waste that has no fixed cost.

Table 17 The type of the organic solvents which are used in regeneration process in adsorption technique

Following (Table 18) illustrates the cost of the materials needed to prepare the bagasse adsorption sheet.

Table 18 The Materials needed to prepare the bagasse adsorption sheet

Based on the printed prices of the materials available in the laboratory as mentioned in Table 19, an estimate of the cost was made. However, the cost of producing this composite would likely be lower if it were manufactured commercially at a larger scale [37].

Table 19 The Materials needed to prepare the raw algae activated carbon bimetallic Fe0-Cu sheet adsorption sheet

4 Conclusion

The present study involved the screening of various adsorbent materials, including Bimetallic Fe0-Cu/Algae Activated Carbon Composites, raw algae-Fe0–Cu, and bagasse activated carbon, for their efficacy in removing the anionic Methyl Orange (M.O) dye. The adsorption performance of these materials was evaluated under various experimental conditions, and the most effective adsorbents were further characterized using.

(FT-IR) and (SEM). Among the tested materials, H3PO4 chemical AC-Fe0–Cu and Bagasse Pulp + Commercial Activated Carbon exhibited the highest removal efficiencies for M.O. Notably, H3PO4 chemical AC-Fe0–Cu showed a remarkable removal capacity of 991.96 mg/g under the conditions of pH = 3, 120 min contact time under shaking at 120 rpm at room temperature, 200 ppm of M.O, and 2 g/l doses of H3PO4 chemical AC-Fe0-Cu adsorbent. Similarly, raw algae-Fe0-Cu demonstrated a high removal capacity of 946.55 mg/g under the conditions of pH = 7, 30 min contact time under shaking at 120 rpm at ambient temperature, 200 ppm of M.O, and 1 g/l dose of raw algae-Fe0-Cu adsorbent. The characterization results using FT-IR and SEM techniques provide insights into the surface chemistry and morphology of the most effective adsorbent materials. The findings of this study demonstrate the efficacy of sheet-based adsorption for the removal of Methyl Orange (MO) dyes from industrial wastewater. The adsorption behavior of MO onto the composite sheet was evaluated using isotherm and kinetic tests, and the obtained data were analyzed to identify the optimal models. The goodness-of-fit statistics, including Sum of Squares Error (SSE), Root Mean Square Error (RMSE), R-squared (R2), and modified R-squared, were employed to select the best-fit isotherm and kinetic models. The kinetic study revealed that the pseudo-first-order model effectively described the MO adsorption process. The Temkin isotherm model was identified as the best-fit model for the adsorption isotherm of MO onto the composite sheet, indicating a multi-layer adsorption process with a heat release of 170.5 Joules per mol. The maximum adsorption capacity of the composite sheet, as estimated by the Langmuir isotherm model, was found to be 71.63 mg/g. In addition, the pseudo-second-order model was found to be the best-fit model for the adsorption of MO onto H3PO4 chemical AC-Fe0–Cu and raw algae-Fe0-Cu, with high R2 values of 0.9886 and 0.9924, respectively. The adsorption process was found to involve both chemisorption and physisorption, as indicated by the Dubinin-Radushkevich isotherm model, which yielded R2 values of 0.9655 and 0.989 for the H3PO4 chemical AC-Fe0–Cu and raw algae-Fe0–Cu systems, respectively. The Temkin and Freundlich isotherm models were identified as the optimal models for H3PO4 chemical AC-Fe0–Cu, with R2 values of 0.9526 and 0.9522, respectively, while the raw algae-Fe0–Cu system showed similar R2 values of 0.9526 and 0.9522 for the Temkin and Freundlich isotherm models, respectively.