Graphene Oxide as a Highly Efficient and Reusable Adsorbent for Simultaneous Removal of Parabens: Optimization by Response Surface Methodology, Adsorption Isotherms and Reusability Studies | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Graphene Oxide as a Highly Efficient and Reusable Adsorbent for Simultaneous Removal of Parabens: Optimization by Response Surface Methodology, Adsorption Isotherms and Reusability Studies Elif Öztürk Er This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5231190/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 19 Dec, 2024 Read the published version in Adsorption → Version 1 posted 7 You are reading this latest preprint version Abstract Paraben contamination in aquatic systems, primarily from personal care products, pharmaceuticals and industrial effluents, is an increasing environmental concern due to their widespread use as preservatives. The removal of parabens through conventional wastewater treatment processes are difficult and requires the development of innovative water treatment methods. In this study, graphene oxide nanoflakes were produced by Improved Hummers’ method and their adsorption characteristics were investigated for simultaneous removal of five parabens. Fourier transform infrared spectroscopy, Raman Spectroscopy, X-Ray Powder Diffraction, Scanning Electron Microscope and Transmission Electron Microscope were used and the nanoflakes were successfully characterized. The chromatographic method was developed for the simultaneous quantification of parabens. The process optimization overall removal efficiency of parabens was achieved using Response Surface Methodology by a multiple response function. Nonlinear regression was used to fit the equilibrium data and the Freundlich model described the adsorption isotherm data accurately with R 2 values between 0.9807 and 0.9957. Factors such as mass of adsorbent, pH of solution and their interaction have the most significant impact on the adsorption process, while contact time parameter shows low significance on the response. The adsorption behaviors of parabens were closely correlated with their hydrophobicity. Along with hydrophobic interactions, other mechanisms such as π–π stacking, hydrogen bonding and electrostatic forces, likely played significant role in the strong adsorption of parabens onto the GO surface. The reusability experiment showed that graphene oxide nanoflakes had a high potential present as a reusable adsorbent for the removal of parabens. Graphene oxide nanoflakes Parabens Adsorption Isotherms Reusability Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 1. Introduction The growing use of endocrine disrupting chemicals (EDCs) in industry and domestic life has raised a recent awareness about their detrimental impacts on public health. As implied by their name, they interfere with the endocrine system at trace levels, and cause serious health problems in reproductive, cardiovascular, developmental and neurological systems (Schug et al., 2011 ). Parabens, a class of the most common EDCs, are widely used as preservatives in pharmaceuticals, personal care products, cosmetics, foods and beverages. There have been many studies pointing to the toxicity of parabens on organisms. In vitro studies have showed that parabens penetrate the skin (Pedersen et al., 2007 ), bind to estrogenic receptors (Wei et al., 2022 ), and induce the development of breast cancer (Webber, 2013 ). Additionally, there is increasing evidence on the associated health effects of parabens such as infertility, developmental and neurological disorders and thyroid problems (Aker et al., 2016 ; Nishihama et al., 2016 ; Shi et al., 2023 ). Methylparaben (MePB), ethylparaben (EtPB), propylparaben (PrPB), butylparaben (BtPB) and benzylparaben (BePB) are the typical compounds of parabens which have structural differences in solubility, length of alkyl chain and antimicrobial activity (Álvarez et al., 2020 ). The extension in alkyl chain of parabens favors their antimicrobial activity and stability (Bolujoko et al., 2021 ). However, longer chain parabens have typically less solubility in water, limiting their applicability to the aqueous phases (Vale et al., 2022 ). To ensure desired antimicrobial activity without exceeding the legal maximum concentrations, more than one paraben is often used in combination. According to regulations from European Union approved in 2013, the maximum concentration of parabens allowed as cosmetic additives was set to 0.4% for an individual paraben and 0.8% for a mixture of parabens (Nowak et al., 2018 ). In 2014, the upper concentration limits of PrPB and BtPB were decreased to 0.14% for cosmetic products and addition to that, they were prohibited from use in children products (Wei et al., 2021 ). The removal of parabens from water sources is crucial due to their potential toxicity to aquatic organisms and humans. Over the years, various techniques have been developed for efficient removal of organic pollutants including flocculation, coagulation, membrane filtration, electrocoagulation and adsorption. Among them, adsorption has generated interest due to its numerous advantages. These advantages include potential efficiency, high molecular-level selectivity, ease of manipulation, low energy consumption and capability to remove various organic contaminants (Titchou et al., 2021 ). In the adsorption process, a soluble chemical, known as adsorbate, is separated from a fluid by encountering a solid surface, known as the adsorbent. This process occurs through a complex phenomenon, with several parameters significantly affecting the adsorption efficiency. The chemistry, surface area and porosity of the adsorbent material, the nature of adsorbate, the contact time, and the pH of solution are the main parameters influencing the adsorption process (El-Naas & Alhaija, 2011 ). Adsorbent materials with a large surface area and granular structure composed of small pores are advantageous, because these materials provide increased interaction with adsorbate molecules, leading to the improvement in the adsorption capacity. Up to now, a diverse array of adsorbent materials have been developed including organic, inorganic and hybrid structures such as zeolites (Hor et al., 2016 ; Oliveira et al., 2019 ), hydrogels (Hu et al., 2018 ; Karlıdağ et al., 2024 ; Tu et al., 2017 ), metal oxides (Kumar et al., 2013 ; Xu et al., 2010 ), metal-organic frameworks (MOFs) (Bandosz & Petit, 2011 ; Han et al., 2019 ; Zhou et al., 2023 ) and carbon nanomaterials (Guo et al., 2015 ). Due to its large surface area, high porosity, abundant functional groups and strong adsorption capabilities, graphene oxide (GO) has attracted tremendous research interest for the removal of methylene blue (Yan et al., 2014 ), tetracycline antibiotics (Gao et al., 2012 ), polycyclic aromatic hydrocarbons (PAHs) (Wang et al., 2014 ) and toxic metals (Li et al., 2012 ; Reynosa-Martínez et al., 2020 ; Yang et al., 2014 ) from aqueous solutions. According to previous studies, GO offers a promising solution for the removal of parabens from water. In this work, GO was prepared by improved Hummers’ method and characterized by FT-IR, XRD, Raman, SEM and TEM analysis. The purpose of this study was to develop highly efficient method for the simultaneous removal of parabens from aqueous solutions and to elucidate the adsorption characteristics of GO by modelling the adsorption process. The influential parameters of adsorption process were optimized using Box-Behnken experimental design. The adsorption behavior of GO was studied via comparison of Langmuir and Freundlich equations using nonlinear regression approach. The best-fitted model was determined by three different error functions and correlation coefficients. 2. Experimental 2.1 Materials and Standard Solutions Graphite powder, high purity grade (99.9995%), was obtained from Alfa Aesar. The other reagent including hydrogen peroxide (35%, H 2 O 2 ), sulfuric acid (95–98%, H 2 SO 4 ), ortho-phosphoric acid (85%, o-H 3 PO 4 ), hydrochloric acid (37%, HCl), potassium permanganate, methanol and acetonitrile were purchased from Merck. Analytical grade (≥ 99%) standards of methyl paraben, ethyl paraben, propyl paraben, benzyl paraben and butyl paraben were supplied by Sigma Aldrich. The stock standard solutions of parabens were prepared at the concentration of 2,000 mg/L in methanol. The mixed standard solutions of parabens were obtained by diluting with ultrapure water from Healforce Smart RO15 system. 2.2 Instrumentation A Bruker Tensor 27 Attenuated Total Reflection (ATR) FTIR Spectrometer, with a wavenumber sensitivity of ± 0.01 cm⁻¹ and photometric accuracy of ± 0.1%, was used to determine the chemical structure of GO. The analysis were performed at room temperature over a specific wavenumber range (650–4000 cm⁻¹) to identify the functional groups of the material. Raman spectrum was obtained using inVia Renishaw Raman device employing 532 nm laser beam. A PANalytical X'Pert Pro Analyzer equipped with a Cu-Kα radiation source operating at 45 kV and 40 mA was used to determine the phase of the GO nanoflakes. The scanning angle 2θ was set between 2° and 90° with a step scan rate of 3°/min. A Zeiss EVO LS10 Scanning Electron Microscope (SEM), operating in beam mode at 20 kV with a secondary electron detector, was used to characterize the morphological structure. The solid sample was coated with gold-palladium in an argon plasma for 45 seconds using a Quorum SC7620 Sputter Coater. TEM image was taken using a JEOL JEM 2100 HRTEM operated at 200 kV. 2.3 Preparation of GO Improved Hummers’ method was utilized to synthesize graphene oxide nanosheets (Marcano et al., 2010 ). Briefly, 3.0 g of graphite powder and 9.0 g of potassium permanganate was mixed with the acidic solution containing 360 mL of sulfuric acid and 40 mL of o-phosphoric acid. The mixture was stirred at 50°C for 12 hours and then, cooled down to 25°C. This solution was transferred into the ice containing 3.0 mL of hydrogen peroxide solution. Afterward, the solid part of the final mixture was collected using centrifugation at 6000 rpm for 40 minutes. After centrifugation, the precipitate was washed three times with 5.0 N of hydrochloric acid, ethanol and distilled water. At the final step, GO was dried in an oven at 55°C for 24 hours. 2.4 Quantitative Determination of Parabens A chromatographic method was developed for the quantitative determination of paraben concentrations using a Shimadzu LC-20A High Performance Liquid Chromatography (HPLC) system. The separation of five parabens was achieved using a Phenomenex brand C18 column (4.6 ×250 mm, 5.0 µm) and isocratic elution was employed using 60:40 mixture of 30 mM ammonium formate in ultrapure water at pH 4.6: Acetonitrile with a flow rate of 1.50 mL/min. The injection volume was 30 µL and total run period was 18.0 min. The wavelength of the detector was adjusted to 254 nm. The chromatogram of paraben mixture is shown in Fig. 1 . The retention times of MePB, EtPB, PrPB, BuPB and BePB were observed as 2.949, 4.497, 7.752, 14.328 and 16.056 minutes. Calibration standards at varied concentrations (2.0–10,000 µg/L) were prepared by the dilution of stock solution with ultrapure water. Limit of detection and quantification values (LOD and LOQ) of the developed method were calculated by 3 and 10 times of (standard deviation)/slope ratios, respectively. The standard deviations were obtained by at least five replicate analysis of the lowest calibration level. The calibration plots were constructed using the known concentrations of standard mixtures against the peak area of each paraben. The slope values of calibration plot (R 2 ≥ 0.99) were used to obtain LOD and LOQ values. LOD and LOQ values, linear range, R 2 values and repeatability (%RSD) results of each paraben are listed in Table 1 . Table 1 The analytical performance results of parabens for the developed chromatographic method Analyte LOD, µg/L LOQ, µg/L %RSD Linear Range, µg/L R 2 MePB 0.41 1.36 4.54 2.0–5,000 0.9974 EtPB 0.42 1.40 7.45 2.0–5,000 0.9975 PrPB 0.75 2.49 3.43 5.0–5,000 0.9976 BuPB 1.05 3.50 12.0 5.0–5,000 0.9976 BeBP 1.34 4.46 5.73 5.0–5,000 0.9976 2.5 Adsorption Experiments Batch adsorption experiments were conducted by spiking water medium with different concentrations of paraben standard mixture. Secondly, a certain amount of adsorbent was added into the contaminated water medium and the solution was mixed until reaching the equilibrium state for adsorption. The concentration of parabens was determined by HPLC system, and the following equation (Eq. 1 ) was used to calculate the adsorption capacity. $$\:Q=\frac{{(C}_{0}-{C}_{e})}{m}V$$ 1 where \(\:{C}_{0}\) and \(\:{C}_{e}\) are the concentrations of parabens in solutions at the initial and equilibrium conditions in mg/L, \(\:Q\) is the adsorption capacity in mg/g, \(\:m\) is the amount of adsorbent (g) and \(\:V\) is the volume of solution (L). 2.6 Optimization of Adsorption Process To achieve maximum removal of parabens, the optimum process conditions were investigated using Response Surface Methodology (RSM) based Box-Behnken design. The design included three levels, coded as -1 (low), 0 (medium) and + 1 (high) with a total of 17 experimental runs performed in a repetitive manner to determine the optimum values of three variables: mass of adsorbent (A), pH of solution (B) and contact time (C). The model is presented in Table 2 . Table 2 Three independent process variables and their levels in Box-Behnken design Factor Name Units Minimum Maximum Coded Low Coded High Mean A Mass of adsorbent mg 10.00 100.00 -1 ↔ 10.00 + 1 ↔ 100.00 55.00 B pH of solution pH 2.00 10.00 -1 ↔ 2.00 + 1 ↔ 10.00 6.00 C Contact time min 10.00 120.00 -1 ↔ 10.00 + 1 ↔ 120.00 65.00 The impact of three independent variables on the removal of parabens was analyzed using a second-order polynomial equation (Eq. 2 ): $$\:Y={\beta\:}_{0}+\sum\:_{i=1}^{n}{\beta\:}_{i}{x}_{i}+\sum\:_{i=1}^{n}{\beta\:}_{ii}{x}_{i}^{2}+\sum\:_{i=1}^{n}\sum\:_{j=1}^{n}{\beta\:}_{ij}{x}_{i}{x}_{j}+\epsilon\:$$ 2 In this equation, \(\:Y\) is the dependent variable and represents the predicted response; n denotes the number of independent variables; the term \(\:\epsilon\:\) accounts for random error; \(\:{x}_{i}\) and \(\:{x}_{j}\) are the independent variables in coded levels, \(\:{\beta\:}_{i}\) , \(\:\:{\beta\:}_{ii}\) , \(\:{\beta\:}_{ij}\) refers to the linear, quadratic and interaction effects of variables, respectively. All experiments were conducted in triplicates. 2.7 Desorption Experiments The adsorbent was separated from the aqueous solution by centrifugation for 10 min at 4,000 rpm and desorption experiments of parabens from the surface of adsorbent were carried out using methanol as the elution solvent. The suspension was ultrasonicated for 10 min and dried in an oven at 50 ̊C for 12 h. The removal percentage was evaluated by Eq. 3 . $$\:RE\:\left(\%\right)=100x\frac{({C}_{0}-{C}_{i})}{{C}_{0}}$$ 3 where \(\:{C}_{i}\) (mg/L) refers to the final concentrations of parabens after the adsorption cycle. 2.8 Error Analysis Nonlinear regression was utilized to find the best-fitting model and the unknown parameters of isotherm models. The Solver function of Microsoft Excel was used for nonlinear regression and the best-fitting model was determined based on the error analysis and correlation coefficient (R 2 ) values. The R 2 and error values of root mean square (RMSE) and the chi-squared parameter ( X 2 ) were calculated using the following expressions (Jain et al., 2019 ; Vitek & Masini, 2023 ): $$\:{R}^{2}=1-\frac{\sum\:{\left({q}_{e,exp}-{q}_{e,pred}\right)}^{2}}{\sum\:{\left({q}_{e,exp}-{q}_{e,mean}\right)}^{2}}$$ 4 $$\:RMSE=\:\sqrt{\frac{\sum\:{\left({q}_{e,exp}-{q}_{e,pred}\right)}^{2}}{p}}$$ 5 $$\:{X}^{2}=\sum\:\frac{{\left({q}_{e,exp}-{q}_{e,pred}\right)}^{2}}{{q}_{e,pred}}$$ 6 where \(\:{q}_{e,exp}\) and \(\:{q}_{e,pred}\) are the adsorption capacities obtained from experimental and model fitting studies, respectively. p is the sample points and \(\:{q}_{e,mean}\) is the mean value of \(\:{q}_{e,exp}\) . A value of the \(\:{R}^{2}\) close to 1 suggests a good fit and explains how well the model explains the variability of the data. 3. Results and Discussion 3.1 Characterization FTIR, Raman, XRD, SEM and TEM techniques were used for the structural and morphological characterization of GO and the results are given in Fig. 2 . As seen in FTIR spectrum (Fig. 2 a), the structure of GO possessed a broad peak at 3171 cm − 1 corresponding to O-H stretching vibrations, indicating the presence of hydroxyl groups, which contribute to its hydrophilicity. The strong peak at 1740 cm − 1 was assigned to the C = O stretching vibration of carbonyl groups, including carboxyl or ester functionalities, formed due to the oxidative treatment during synthesis. The peaks at 1565 cm − 1 , 1368 cm − 1 and 1217 cm − 1 were attributed to the C = C stretching of the graphitic backbone, C–O stretching and C–O–C stretching of epoxides, respectively. These peaks confirmed that GO was highly functionalized with oxygen-containing groups, which enhance its ability to interact with various molecules while preserving parts of the original graphitic nature of graphene (Ebrahimi Naghani et al., 2023 ). In the Raman spectrum of GO (Fig. 2 b), the bands at 1351 cm − 1 and 1588 cm − 1 corresponded to the D-band and the G-band, respectively. The D-band was associated with structural defects of GO, such as vacancies, edges or functional groups, introduced during the oxidation process. The G-band represented the in-plane stretching of sp 2 atoms, reflecting the graphitic nature of material. The intensity ratio of the D to G band was calculated as 0.97, implying a considerable amount of defects with the retention of sp 2 hybrid domains. The broad band at 2697 cm − 1 was the indicative of the disruption of the π-π stacking and consistent with the functionalization and oxidation of the graphene sheets (Aujara et al., 2019 ). This was also confirmed with the XRD pattern (Fig. 2 c). The single peak observed at around 10° corresponding to the (001) diffraction plane of GO was a result of the regular stacking of GO layers due to the incorporation of the oxygen-containing groups between the layers (Jiao et al., 2017 ). SEM and TEM images (Fig. 2 d-e) showed the flake-like wrinkled surface and stacked layered structure of GO, which was in line with previous literature (Gurunathan et al., 2016 ). 3.2 Model Determination and Statistical Analysis The optimization of key variables influencing the adsorption performance was employed using Box-Behnken Design approach. Mass of adsorbent, pH of solution and contact time were identified as the primary input variables that significantly affect the uptake of parabens. Both individual and interactive effects of these factors on the adsorption capacity of GO were evaluated through design of experiments. A quadratic model, suggested by the Design Expert software, was selected to describe the adsorption of parabens onto GO adsorbent. A multiple response function (MRF) was generated for the simultaneous optimization of multiple responses, with the removal percentages of five parabens considered as five responses in the design. The formula for the MRF in the first run, used as an example is provided below (Eq. 7 ) (Bezerra et al., 2019 ): $$\:MR{F}_{1}=\frac{{Y}_{i,1}}{{Y}_{i,max}}+\frac{{Y}_{j,1}}{{Y}_{j,max}}+\frac{{Y}_{k,1}}{{Y}_{k,max}}+\frac{{Y}_{l,1}}{{Y}_{l,max}}+\frac{{Y}_{m,1}}{{Y}_{m,max}}$$ 7 In this equation, Y is the removal percentage, the terms i, j, .., m correspond to each paraben, the “max” term indicates the highest value observed across all run, and the number “1” refers to the specific run in the sequence (in this case, the first run). The final model in actual (uncoded) terms is given in the following equation: $$\:Y=4.55973+0.019198A-0.156323B+0.000134C+0.001551AB+0.000226BC-0.000162{A}^{2}$$ 8 The positive and negative signs in front of the terms in Eq. ( 4 ) indicate whether they have a synergistic or antagonistic effect on the response. Mass of adsorbent (A), contact time (C) and interaction terms (AB and BC) affect the response positively, while pH of solution (B) and the quadratic term of adsorbent mass (A 2 ) have negative influence on the response function. To evaluate the adequacy of the model and examine the relationships between the parameters and responses, Analysis of Variance (ANOVA) test was applied. The F-values and p-values were used to assess the significance of both the overall model and its individual terms. Table 3 shows a summary of the ANOVA results for the adsorption of parabens onto GO. As seen in Table 2 , high F-value for the model (118.84) with a p-value of less than 0.0001 indicates that the model is statistically significant and proves that the model can reliably predict the response. The model fits well with a high R 2 value of 0.9862, and no significant lack of fit (p = 0.0514), confirming its adequacy for predicting the adsorption behavior accurately. Additionally, the predicted R 2 value of 0.9249 implies the strong prediction accuracy of the model for future applications. Table 3 ANOVA results of the second order polynomial equation generated for the prediction of parabens removal efficiency Source Sum of Squares df Mean F-value p-value Remark Model 3.10 6 0.5170 118.84 < 0.0001 significant A 1.87 1 1.87 429.18 < 0.0001 B 0.4064 1 0.4064 93.42 < 0.0001 C 0.0535 1 0.0535 12.30 0.0057 AB 0.3118 1 0.3118 71.68 < 0.0001 BC 0.0098 1 0.0098 2.26 0.1634 A 2 0.4532 1 0.4532 104.18 < 0.0001 Residual 0.0435 10 0.0044 Lack of Fit 0.0392 6 0.0065 6.06 0.051409 not significant Pure Error 0.0043 4 0.0011 Cor Total 3.15 16 R 2 0.9862 Adjusted R 2 0.9779 Predicted R 2 0.9249 Adeq Precision 37.1510 The model is graphically illustrated through 3D response surface graphs in Fig. 3 . Factors such as mass of adsorbent, pH of solution and their interaction have the most significant impact on the adsorption process, while contact time parameter shows low significance on the response. The adsorption of parabens decreased across the pH range of 2 to 10. Considering the pKa values of parabens (8.5–8.2), the higher adsorption at lower pH values can be attributed to their neutral form at these conditions, which promotes adsorption by reducing electrostatic repulsion between the paraben molecules and negatively charged surface of GO. As the pH increases, the fraction of negatively charged paraben species increases, resulting in greater electrostatic repulsion with the negatively charged surfaces of the adsorbent, thus making adsorption less favorable. This behavior is consistent with the adsorption mechanisms observed for various organic compounds (Al-Ghouti et al., 2022 ; Pei et al., 2013 ). As another significant parameter, the optimum mass of adsorbent was also investigated by varying its value between 10–100 mg. As expected, the increase in adsorbent mass resulted in higher adsorption capacity due to the greater availability of adsorption sites on the adsorbent surface. This enhances the interaction between the adsorbent and paraben molecules, improving the overall removal efficiency. However, beyond 60 mg adsorbent mass, a plateau was observed, indicating little additional adsorption despite the increased mass. The third variable influencing the adsorption process was the contact time. In this study, there was a slight increase in removal efficiency with the increase of contact time. This may be likely due to the rapid occupation of active sites in the initial stage, which causes the adsorption rate to slow down as the sites become increasingly saturated. Finally, as a result of the experimental design, the optimal values for the three variables were determined to be an adsorbent mass of 60 mg, a solution pH of 2.0, and a contact time of 30 minutes. 3.3 Adsorption Isotherms The adsorption equilibrium data are effectively depicted by adsorption isotherms, which describe the relationship between the amount of solute adsorbed per unit mass of adsorbent (q e ) and the equilibrium concentration of the solute in the solution (C e ). The adsorption isotherms for the removal of five parabens (MePB, EtPB, PrPB, BuPB and BePB) were studied using initial concentration of parabens between 2.5 mg/L and 80 mg/L at an adsorbent mass level of 60 mg. The adsorption equilibrium data were obtained under optimum process conditions and fitted to Langmuir and Freundlich adsorption isotherms for further investigation. The Langmuir model assumes a monolayer adsorption on a homogeneous surface, while the Freundlich model describes adsorption on heterogeneous surface where the adsorption energy decreases exponentially with increasing coverage. The Langmuir and Freundlich models can be expressed by the following equations, respectively (Jain et al., 2019 ): $$\:{q}_{e}=\frac{{q}_{m}{K}_{L}{C}_{e}}{1+{K}_{L}{C}_{e}}$$ 9 $$\:{q}_{e}={K}_{F}{\left({C}_{e}\right)}^{\frac{1}{n}}$$ 10 where \(\:{q}_{e}\) is the amount of adsorbed paraben per unit mass of adsorbent at the equilibrium (mg/g), \(\:{C}_{e}\) is the equilibrium concentration of paraben (mg/L), n is the heterogeneity factor of Freundlich model, \(\:{K}_{L}\) (L/mg) and \(\:{K}_{F}\) (dimensionless) are the model constants. The equilibrium data were analyzed using nonlinear regression to determine the R 2 values and isotherm constants. The results are shown in Table 4 . The R 2 values calculated for Freundlich model (ranging from 0.9807 to 0.9957) were found to be significantly closer to unity when compared to Langmuir model (ranging from 0.9550 to 0.9878) for all compounds. The fitted model results with the experimental data are shown in Fig. 4 . All obtained values, including the closeness of experimental and model values, higher R 2 values and lower error values confirm the better fit of the Freundlich model to the isotherm data in this study. As given in Table 4 , the n values were calculated to be greater than 1, indicating the favorable adsorption of parabens. In addition, the constants of Langmuir and Freundlich models (K L and K F ) increased with increasing molecular weight and length of the alkyl side chain. The adsorption behaviors of parabens were closely correlated with their hydrophobicity. Along with hydrophobic interactions, other mechanisms such as π–π stacking, hydrogen bonding and electrostatic forces, likely played significant role in the strong adsorption of parabens onto the GO surface. Possible adsorption mechanism of parabens onto GO nanoflakes was presented in Fig. 5 . Table 4 Isotherm parameters for removal of parabens using graphene oxide Isotherm Models Parameter Compounds MePB EtPB PrPB BuPB BePB Langmuir q m (mg/g) 9.3971 10.3382 10.8573 11.9278 14.1634 K L (L/mg) 0.1742 0.1884 0.3036 0.5266 3.3042 R 2 0.9550 0.9521 0.9600 0.9684 0.9878 RMSE 0.5205 0.5859 0.5866 0.5807 0.4221 X 2 5.9372 4.3226 3.7890 3.6975 2.1566 Freundlich n 2.1719 2.0909 2.2186 2.3221 2.3860 K F (mg/g)(L/mg) (1/n) 1.7615 1.9452 2.5691 3.5792 8.7487 R 2 0.9957 0.9945 0.9940 0.9910 0.9807 RMSE 0.1614 0.1977 0.2275 0.3101 0.5297 X 2 0.1290 0.1500 0.2326 0.4011 0.9485 3.4 Reusability Study The desorption and reusability properties of an adsorbent are crucial for its practical and economical application in environmental processes. The regeneration of adsorbents through effective desorption reduces the environmental impact by limiting the waste generation. Herein, the reusability of GO nanoflakes was studied for five cycles and the results were shown in Fig. 6 . The removal efficiency of GO remained constant during five consecutive adsorption/desorption cycles, demonstrating its excellent stability and potential for reuse. This indicated that GO can be effectively regenerated, maintaining its adsorption capacity without significant loss of performance. 4. Conclusions The GO nanoflakes were synthesized using Improved Hummers method and then utilized as an adsorbent for the simultaneous removal of five parabens. The chemical and morphological characteristics of GO nanoflakes were identified by FT-IR, Raman, XRD, SEM and TEM results. The statistical design experiment by RSM was used for the optimization of adsorption process and batch adsorption experiments were carried out under optimum process parameters. The results indicated that GO nanoflakes had a very high adsorption capacity at pH 2.0. The high removal rate obtained after multiple cycles highlighted the structural integrity of GO, suggesting that the material did not undergo degradation or substantial changes in surface properties during the adsorption/desorption cycles, making it a cost-effective and environmentally sustainable option for long-term use in the removal of parabens. Declarations Declaration of Competing Interest The author declares that she has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Author Contribution E.O.E conducted experiments, metholodology, formal analysis, wrote the main text, reviewed the manuscript. Acknowledgements The author would like to thank İstanbul Technical University Scientific Research Projects Coordination Unit for the project supported in Project Number: MGA-2023-44569. Availability of Data Data will be available on reasonable request. References Aker, A. M., Watkins, D. J., Johns, L. 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R., Bhandari, P. S., & Gaikwad, M. S. (2019). Nonlinear regression approach for acid dye remediation using activated adsorbent: Kinetic, isotherm, thermodynamic and reusability studies. Microchemical Journal , 148 , 605-615. https://doi.org/https://doi.org/10.1016/j.microc.2019.05.024 Jiao, X., Qiu, Y., Zhang, L., & Zhang, X. (2017). Comparison of the characteristic properties of reduced graphene oxides synthesized from natural graphites with different graphitization degrees. RSC advances , 7 (82), 52337-52344. Karlıdağ, N. E., Göver, T., Er, E. Ö., Bozyiğit, G. D., Turak, F., & Bakırdere, S. (2024). Development of a novel treatment strategy for the removal of cadmium from wastewater samples using poly (vinyl alcohol)-based magnetic hydrogel beads. Journal of Nanoparticle Research , 26 (6), 1-14. Kumar, K. Y., Muralidhara, H., Nayaka, Y. A., Balasubramanyam, J., & Hanumanthappa, H. (2013). Low-cost synthesis of metal oxide nanoparticles and their application in adsorption of commercial dye and heavy metal ion in aqueous solution. Powder technology , 246 , 125-136. Li, Z., Chen, F., Yuan, L., Liu, Y., Zhao, Y., Chai, Z., & Shi, W. (2012). Uranium (VI) adsorption on graphene oxide nanosheets from aqueous solutions. Chemical engineering journal , 210 , 539-546. Marcano, D. C., Kosynkin, D. V., Berlin, J. M., Sinitskii, A., Sun, Z., Slesarev, A., Alemany, L. B., Lu, W., & Tour, J. M. (2010). Improved synthesis of graphene oxide. ACS nano , 4 (8), 4806-4814. Nishihama, Y., Yoshinaga, J., Iida, A., Konishi, S., Imai, H., Yoneyama, M., Nakajima, D., & Shiraishi, H. (2016). Association between paraben exposure and menstrual cycle in female university students in Japan. Reproductive Toxicology , 63 , 107-113. Nowak, K., Ratajczak–Wrona, W., Górska, M., & Jabłońska, E. (2018). Parabens and their effects on the endocrine system. Molecular and Cellular Endocrinology , 474 , 238-251. https://doi.org/https://doi.org/10.1016/j.mce.2018.03.014 Oliveira, J. A., Cunha, F. A., & Ruotolo, L. A. (2019). Synthesis of zeolite from sugarcane bagasse fly ash and its application as a low-cost adsorbent to remove heavy metals. Journal of Cleaner Production , 229 , 956-963. Pedersen, S., Marra, F., Nicoli, S., & Santi, P. (2007). In vitro skin permeation and retention of parabens from cosmetic formulations. International journal of cosmetic science , 29 (5), 361-367. Pei, Z., Li, L., Sun, L., Zhang, S., Shan, X.-q., Yang, S., & Wen, B. (2013). Adsorption characteristics of 1,2,4-trichlorobenzene, 2,4,6-trichlorophenol, 2-naphthol and naphthalene on graphene and graphene oxide. Carbon , 51 , 156-163. https://doi.org/https://doi.org/10.1016/j.carbon.2012.08.024 Reynosa-Martínez, A., Tovar, G. N., Gallegos, W., Rodríguez-Meléndez, H., Torres-Cadena, R., Mondragón-Solórzano, G., Barroso-Flores, J., Alvarez-Lemus, M., Montalvo, V. G., & López-Honorato, E. (2020). Effect of the degree of oxidation of graphene oxide on As (III) adsorption. Journal of Hazardous Materials , 384 , 121440. Schug, T. T., Janesick, A., Blumberg, B., & Heindel, J. J. (2011). Endocrine disrupting chemicals and disease susceptibility. The Journal of steroid biochemistry and molecular biology , 127 (3-5), 204-215. Shi, Y., Wang, H., Zhu, Z., Ye, Q., Lin, F., & Cai, G. (2023). Association between exposure to phenols and parabens and cognitive function in older adults in the United States: A cross-sectional study. Science of The Total Environment , 858 , 160129. Titchou, F. E., Zazou, H., Afanga, H., El Gaayda, J., Akbour, R. A., & Hamdani, M. (2021). Removal of Persistent Organic Pollutants (POPs) from water and wastewater by adsorption and electrocoagulation process. Groundwater for Sustainable Development , 13 , 100575. https://doi.org/https://doi.org/10.1016/j.gsd.2021.100575 Tu, H., Yu, Y., Chen, J., Shi, X., Zhou, J., Deng, H., & Du, Y. (2017). Highly cost-effective and high-strength hydrogels as dye adsorbents from natural polymers: chitosan and cellulose. Polymer Chemistry , 8 (19), 2913-2921. Vale, F., Sousa, C. A., Sousa, H., Santos, L., & Simões, M. (2022). Parabens as emerging contaminants: Environmental persistence, current practices and treatment processes. Journal of Cleaner Production , 347 , 131244. https://doi.org/https://doi.org/10.1016/j.jclepro.2022.131244 Vitek, R., & Masini, J. C. (2023). Nonlinear regression for treating adsorption isotherm data to characterize new sorbents: Advantages over linearization demonstrated with simulated and experimental data. Heliyon , 9 (4). https://doi.org/10.1016/j.heliyon.2023.e15128 Wang, J., Chen, Z., & Chen, B. (2014). Adsorption of polycyclic aromatic hydrocarbons by graphene and graphene oxide nanosheets. Environmental science & technology , 48 (9), 4817-4825. Webber, K. E. (2013). Studies on the effects of paraben mixtures on MCF-7 breast cancer cells in culture. Wei, F., Cheng, H., & Sang, N. (2022). Comprehensive assessment of estrogenic activities of parabens by in silico approach and in vitro assays. Science of The Total Environment , 845 , 157194. https://doi.org/https://doi.org/10.1016/j.scitotenv.2022.157194 Wei, F., Mortimer, M., Cheng, H., Sang, N., & Guo, L.-H. (2021). Parabens as chemicals of emerging concern in the environment and humans: A review. Science of The Total Environment , 778 , 146150. https://doi.org/https://doi.org/10.1016/j.scitotenv.2021.146150 Xu, B., Wu, F., Zhao, X., & Liao, H. (2010). Benzotriazole removal from water by Zn–Al–O binary metal oxide adsorbent: Behavior, kinetics and mechanism. Journal of Hazardous Materials , 184 (1-3), 147-155. Yan, H., Tao, X., Yang, Z., Li, K., Yang, H., Li, A., & Cheng, R. (2014). Effects of the oxidation degree of graphene oxide on the adsorption of methylene blue. Journal of Hazardous Materials , 268 , 191-198. Yang, S., Li, L., Pei, Z., Li, C., Lv, J., Xie, J., Wen, B., & Zhang, S. (2014). Adsorption kinetics, isotherms and thermodynamics of Cr (III) on graphene oxide. Colloids and Surfaces A: Physicochemical and Engineering Aspects , 457 , 100-106. Zhou, D.-D., Liu, Q.-Y., Chen, M., Cao, Y.-W., Zhuang, L.-Y., Yang, Z.-H., & Xu, Z. (2023). The synthesis, application and mechanism of a novel Zr-based magnetic MOFs adsorption material. Journal of Environmental Chemical Engineering , 11 (3), 109666. Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 19 Dec, 2024 Read the published version in Adsorption → Version 1 posted Editorial decision: Revision requested 25 Nov, 2024 Reviews received at journal 25 Nov, 2024 Reviewers agreed at journal 28 Oct, 2024 Reviewers invited by journal 28 Oct, 2024 Editor assigned by journal 11 Oct, 2024 Submission checks completed at journal 10 Oct, 2024 First submitted to journal 09 Oct, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5231190","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":382586231,"identity":"77d67d88-789a-4066-b00d-5a9a7cc92248","order_by":0,"name":"Elif Öztürk Er","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4ElEQVRIie3PMQrCMBSA4ZQHzyWY1VC1VygUBEHqYQpObi6KgwXBSfA2mVsKdSm4VrpYvYAOgk6adHNJ6yaYfwgJvI8khJhMP1tEughxeZJb2q4fh4pQxMBzFcHGhGAw6KhzLWHskNrzbETbCLi4T/0uEijPuYbwMEGe5RP5MMCiJwL5MPS8qYa48Rp5eE0oOru04AIkoWhrSQKKvKpbZlysGpBUkTyqiHUTST3hW/CGYRYoArYl9lRS/V8Yi8tjmPp9ZwPW7SmWY9Zalxcd+QhotTYdV1mPb6ZNJpPpb3oDaZ87RvvOV1oAAAAASUVORK5CYII=","orcid":"","institution":"Istanbul Technical University","correspondingAuthor":true,"prefix":"","firstName":"Elif","middleName":"Öztürk","lastName":"Er","suffix":""}],"badges":[],"createdAt":"2024-10-09 09:23:52","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5231190/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5231190/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10450-024-00581-5","type":"published","date":"2024-12-19T15:58:30+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":70533111,"identity":"0af13441-4201-4364-a16f-635137b55a82","added_by":"auto","created_at":"2024-12-04 06:22:38","extension":"jpg","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":34808,"visible":true,"origin":"","legend":"\u003cp\u003eThe chromatogram of paraben mixture (500 μg/L in ultrapure water)\u003c/p\u003e","description":"","filename":"1.jpg","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/cf1d9c525543d9c1518407f6.jpg"},{"id":70533116,"identity":"1e445448-5b98-4484-b1c6-411bde60a93f","added_by":"auto","created_at":"2024-12-04 06:22:38","extension":"jpg","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":148633,"visible":true,"origin":"","legend":"\u003cp\u003eCharacterization of graphene oxide a) FTIR spectrum b) Raman spectrum c) XRD pattern d) SEM and e) TEM images\u003c/p\u003e","description":"","filename":"2.jpg","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/13fe5e158f5758d08f603149.jpg"},{"id":70534177,"identity":"bacb3e4f-fb4d-4393-9da7-5878addd357f","added_by":"auto","created_at":"2024-12-04 06:30:38","extension":"jpg","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":80894,"visible":true,"origin":"","legend":"\u003cp\u003e3D response surface graph for simultaneous removal of parabens versus independent variables\u003c/p\u003e","description":"","filename":"3.jpg","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/184f9bbfd4153eedc805eca8.jpg"},{"id":70534576,"identity":"679ae76b-e832-4eea-b973-a6df025d49af","added_by":"auto","created_at":"2024-12-04 06:38:38","extension":"jpg","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":42927,"visible":true,"origin":"","legend":"\u003cp\u003eAdsorption isotherms of parabens including experimental and fitted results obtained using Freundlich model\u003c/p\u003e","description":"","filename":"4.jpg","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/099244e0ce44c03d2f82ff52.jpg"},{"id":70533114,"identity":"eed2609a-a155-460a-9514-275c82e2b0e3","added_by":"auto","created_at":"2024-12-04 06:22:38","extension":"jpg","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":59714,"visible":true,"origin":"","legend":"\u003cp\u003ePossible adsorption mechanism of parabens onto graphene oxide nanoflakes\u003c/p\u003e","description":"","filename":"5.jpg","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/ced35ff0189dbf7b1d2529f4.jpg"},{"id":70533112,"identity":"5f6becbf-48b2-489c-a9dc-084d5110f179","added_by":"auto","created_at":"2024-12-04 06:22:38","extension":"jpg","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":58813,"visible":true,"origin":"","legend":"\u003cp\u003eThe removal percentages of parabens for multiple consecutive adsorption-desorption cycles\u003c/p\u003e","description":"","filename":"6.jpg","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/a305298182fc9b5d7aad09fe.jpg"},{"id":72203394,"identity":"a2f6cda8-20c5-4175-908e-fdc407109dc0","added_by":"auto","created_at":"2024-12-23 16:17:06","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1158370,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5231190/v1/071626dd-408e-4206-823a-c68ea8513249.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Graphene Oxide as a Highly Efficient and Reusable Adsorbent for Simultaneous Removal of Parabens: Optimization by Response Surface Methodology, Adsorption Isotherms and Reusability Studies","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003eThe growing use of endocrine disrupting chemicals (EDCs) in industry and domestic life has raised a recent awareness about their detrimental impacts on public health. As implied by their name, they interfere with the endocrine system at trace levels, and cause serious health problems in reproductive, cardiovascular, developmental and neurological systems (Schug et al., \u003cspan citationid=\"CR28\" class=\"CitationRef\"\u003e2011\u003c/span\u003e). Parabens, a class of the most common EDCs, are widely used as preservatives in pharmaceuticals, personal care products, cosmetics, foods and beverages. There have been many studies pointing to the toxicity of parabens on organisms. In vitro studies have showed that parabens penetrate the skin (Pedersen et al., \u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e2007\u003c/span\u003e), bind to estrogenic receptors (Wei et al., \u003cspan citationid=\"CR36\" class=\"CitationRef\"\u003e2022\u003c/span\u003e), and induce the development of breast cancer (Webber, \u003cspan citationid=\"CR35\" class=\"CitationRef\"\u003e2013\u003c/span\u003e). Additionally, there is increasing evidence on the associated health effects of parabens such as infertility, developmental and neurological disorders and thyroid problems (Aker et al., \u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e2016\u003c/span\u003e; Nishihama et al., \u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e2016\u003c/span\u003e; Shi et al., \u003cspan citationid=\"CR29\" class=\"CitationRef\"\u003e2023\u003c/span\u003e).\u003c/p\u003e \u003cp\u003eMethylparaben (MePB), ethylparaben (EtPB), propylparaben (PrPB), butylparaben (BtPB) and benzylparaben (BePB) are the typical compounds of parabens which have structural differences in solubility, length of alkyl chain and antimicrobial activity (\u0026Aacute;lvarez et al., \u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e2020\u003c/span\u003e). The extension in alkyl chain of parabens favors their antimicrobial activity and stability (Bolujoko et al., \u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e2021\u003c/span\u003e). However, longer chain parabens have typically less solubility in water, limiting their applicability to the aqueous phases (Vale et al., \u003cspan citationid=\"CR32\" class=\"CitationRef\"\u003e2022\u003c/span\u003e). To ensure desired antimicrobial activity without exceeding the legal maximum concentrations, more than one paraben is often used in combination. According to regulations from European Union approved in 2013, the maximum concentration of parabens allowed as cosmetic additives was set to 0.4% for an individual paraben and 0.8% for a mixture of parabens (Nowak et al., \u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e2018\u003c/span\u003e). In 2014, the upper concentration limits of PrPB and BtPB were decreased to 0.14% for cosmetic products and addition to that, they were prohibited from use in children products (Wei et al., \u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e2021\u003c/span\u003e).\u003c/p\u003e \u003cp\u003eThe removal of parabens from water sources is crucial due to their potential toxicity to aquatic organisms and humans. Over the years, various techniques have been developed for efficient removal of organic pollutants including flocculation, coagulation, membrane filtration, electrocoagulation and adsorption. Among them, adsorption has generated interest due to its numerous advantages. These advantages include potential efficiency, high molecular-level selectivity, ease of manipulation, low energy consumption and capability to remove various organic contaminants (Titchou et al., \u003cspan citationid=\"CR30\" class=\"CitationRef\"\u003e2021\u003c/span\u003e). In the adsorption process, a soluble chemical, known as adsorbate, is separated from a fluid by encountering a solid surface, known as the adsorbent. This process occurs through a complex phenomenon, with several parameters significantly affecting the adsorption efficiency. The chemistry, surface area and porosity of the adsorbent material, the nature of adsorbate, the contact time, and the pH of solution are the main parameters influencing the adsorption process (El-Naas \u0026amp; Alhaija, \u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e2011\u003c/span\u003e).\u003c/p\u003e \u003cp\u003eAdsorbent materials with a large surface area and granular structure composed of small pores are advantageous, because these materials provide increased interaction with adsorbate molecules, leading to the improvement in the adsorption capacity. Up to now, a diverse array of adsorbent materials have been developed including organic, inorganic and hybrid structures such as zeolites (Hor et al., \u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e2016\u003c/span\u003e; Oliveira et al., \u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e2019\u003c/span\u003e), hydrogels (Hu et al., \u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e2018\u003c/span\u003e; Karlıdağ et al., \u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e2024\u003c/span\u003e; Tu et al., \u003cspan citationid=\"CR31\" class=\"CitationRef\"\u003e2017\u003c/span\u003e), metal oxides (Kumar et al., \u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e2013\u003c/span\u003e; Xu et al., \u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e2010\u003c/span\u003e), metal-organic frameworks (MOFs) (Bandosz \u0026amp; Petit, \u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e2011\u003c/span\u003e; Han et al., \u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e2019\u003c/span\u003e; Zhou et al., \u003cspan citationid=\"CR41\" class=\"CitationRef\"\u003e2023\u003c/span\u003e) and carbon nanomaterials (Guo et al., \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e2015\u003c/span\u003e). Due to its large surface area, high porosity, abundant functional groups and strong adsorption capabilities, graphene oxide (GO) has attracted tremendous research interest for the removal of methylene blue (Yan et al., \u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e2014\u003c/span\u003e), tetracycline antibiotics (Gao et al., \u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e2012\u003c/span\u003e), polycyclic aromatic hydrocarbons (PAHs) (Wang et al., \u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e2014\u003c/span\u003e) and toxic metals (Li et al., \u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e2012\u003c/span\u003e; Reynosa-Mart\u0026iacute;nez et al., \u003cspan citationid=\"CR27\" class=\"CitationRef\"\u003e2020\u003c/span\u003e; Yang et al., \u003cspan citationid=\"CR40\" class=\"CitationRef\"\u003e2014\u003c/span\u003e) from aqueous solutions. According to previous studies, GO offers a promising solution for the removal of parabens from water.\u003c/p\u003e \u003cp\u003eIn this work, GO was prepared by improved Hummers\u0026rsquo; method and characterized by FT-IR, XRD, Raman, SEM and TEM analysis. The purpose of this study was to develop highly efficient method for the simultaneous removal of parabens from aqueous solutions and to elucidate the adsorption characteristics of GO by modelling the adsorption process. The influential parameters of adsorption process were optimized using Box-Behnken experimental design. The adsorption behavior of GO was studied via comparison of Langmuir and Freundlich equations using nonlinear regression approach. The best-fitted model was determined by three different error functions and correlation coefficients.\u003c/p\u003e"},{"header":"2. Experimental","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003e2.1 Materials and Standard Solutions\u003c/h2\u003e \u003cp\u003eGraphite powder, high purity grade (99.9995%), was obtained from Alfa Aesar. The other reagent including hydrogen peroxide (35%, H\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e2\u003c/sub\u003e), sulfuric acid (95\u0026ndash;98%, H\u003csub\u003e2\u003c/sub\u003eSO\u003csub\u003e4\u003c/sub\u003e), ortho-phosphoric acid (85%, o-H\u003csub\u003e3\u003c/sub\u003ePO\u003csub\u003e4\u003c/sub\u003e), hydrochloric acid (37%, HCl), potassium permanganate, methanol and acetonitrile were purchased from Merck. Analytical grade (\u0026ge;\u0026thinsp;99%) standards of methyl paraben, ethyl paraben, propyl paraben, benzyl paraben and butyl paraben were supplied by Sigma Aldrich. The stock standard solutions of parabens were prepared at the concentration of 2,000 mg/L in methanol. The mixed standard solutions of parabens were obtained by diluting with ultrapure water from Healforce Smart RO15 system.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec4\" class=\"Section2\"\u003e \u003ch2\u003e2.2 Instrumentation\u003c/h2\u003e \u003cp\u003eA Bruker Tensor 27 Attenuated Total Reflection (ATR) FTIR Spectrometer, with a wavenumber sensitivity of \u0026plusmn;\u0026thinsp;0.01 cm⁻\u0026sup1; and photometric accuracy of \u0026plusmn;\u0026thinsp;0.1%, was used to determine the chemical structure of GO. The analysis were performed at room temperature over a specific wavenumber range (650\u0026ndash;4000 cm⁻\u0026sup1;) to identify the functional groups of the material. Raman spectrum was obtained using inVia Renishaw Raman device employing 532 nm laser beam.\u003c/p\u003e \u003cp\u003eA PANalytical X'Pert Pro Analyzer equipped with a Cu-Kα radiation source operating at 45 kV and 40 mA was used to determine the phase of the GO nanoflakes. The scanning angle 2θ was set between 2\u0026deg; and 90\u0026deg; with a step scan rate of 3\u0026deg;/min. A Zeiss EVO LS10 Scanning Electron Microscope (SEM), operating in beam mode at 20 kV with a secondary electron detector, was used to characterize the morphological structure. The solid sample was coated with gold-palladium in an argon plasma for 45 seconds using a Quorum SC7620 Sputter Coater. TEM image was taken using a JEOL JEM 2100 HRTEM operated at 200 kV.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec5\" class=\"Section2\"\u003e \u003ch2\u003e2.3 Preparation of GO\u003c/h2\u003e \u003cp\u003eImproved Hummers\u0026rsquo; method was utilized to synthesize graphene oxide nanosheets (Marcano et al., \u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e2010\u003c/span\u003e). Briefly, 3.0 g of graphite powder and 9.0 g of potassium permanganate was mixed with the acidic solution containing 360 mL of sulfuric acid and 40 mL of o-phosphoric acid. The mixture was stirred at 50\u0026deg;C for 12 hours and then, cooled down to 25\u0026deg;C. This solution was transferred into the ice containing 3.0 mL of hydrogen peroxide solution. Afterward, the solid part of the final mixture was collected using centrifugation at 6000 rpm for 40 minutes. After centrifugation, the precipitate was washed three times with 5.0 N of hydrochloric acid, ethanol and distilled water. At the final step, GO was dried in an oven at 55\u0026deg;C for 24 hours.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec6\" class=\"Section2\"\u003e \u003ch2\u003e2.4 Quantitative Determination of Parabens\u003c/h2\u003e \u003cp\u003eA chromatographic method was developed for the quantitative determination of paraben concentrations using a Shimadzu LC-20A High Performance Liquid Chromatography (HPLC) system. The separation of five parabens was achieved using a Phenomenex brand C18 column (4.6 \u0026times;250 mm, 5.0 \u0026micro;m) and isocratic elution was employed using 60:40 mixture of 30 mM ammonium formate in ultrapure water at pH 4.6: Acetonitrile with a flow rate of 1.50 mL/min. The injection volume was 30 \u0026micro;L and total run period was 18.0 min. The wavelength of the detector was adjusted to 254 nm.\u003c/p\u003e \u003cp\u003eThe chromatogram of paraben mixture is shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e. The retention times of MePB, EtPB, PrPB, BuPB and BePB were observed as 2.949, 4.497, 7.752, 14.328 and 16.056 minutes. Calibration standards at varied concentrations (2.0\u0026ndash;10,000 \u0026micro;g/L) were prepared by the dilution of stock solution with ultrapure water. Limit of detection and quantification values (LOD and LOQ) of the developed method were calculated by 3 and 10 times of (standard deviation)/slope ratios, respectively. The standard deviations were obtained by at least five replicate analysis of the lowest calibration level. The calibration plots were constructed using the known concentrations of standard mixtures against the peak area of each paraben. The slope values of calibration plot (R\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;\u0026ge;\u0026thinsp;0.99) were used to obtain LOD and LOQ values. LOD and LOQ values, linear range, R\u003csup\u003e2\u003c/sup\u003e values and repeatability (%RSD) results of each paraben are listed in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab1\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 1\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThe analytical performance results of parabens for the developed chromatographic method\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"6\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eAnalyte\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eLOD, \u0026micro;g/L\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eLOQ, \u0026micro;g/L\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003e%RSD\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eLinear Range, \u0026micro;g/L\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eR\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eMePB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.41\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.36\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e4.54\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e2.0\u0026ndash;5,000\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.9974\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eEtPB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.42\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.40\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e7.45\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e2.0\u0026ndash;5,000\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.9975\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003ePrPB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.75\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e2.49\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e3.43\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e5.0\u0026ndash;5,000\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.9976\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eBuPB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e1.05\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e3.50\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e12.0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e5.0\u0026ndash;5,000\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.9976\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eBeBP\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e1.34\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e4.46\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e5.73\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e5.0\u0026ndash;5,000\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.9976\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec7\" class=\"Section2\"\u003e \u003ch2\u003e2.5 Adsorption Experiments\u003c/h2\u003e \u003cp\u003eBatch adsorption experiments were conducted by spiking water medium with different concentrations of paraben standard mixture. Secondly, a certain amount of adsorbent was added into the contaminated water medium and the solution was mixed until reaching the equilibrium state for adsorption. The concentration of parabens was determined by HPLC system, and the following equation (Eq.\u0026nbsp;\u003cspan refid=\"Equ1\" class=\"InternalRef\"\u003e1\u003c/span\u003e) was used to calculate the adsorption capacity.\u003cdiv id=\"Equ1\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ1\" name=\"EquationSource\"\u003e\n$$\\:Q=\\frac{{(C}_{0}-{C}_{e})}{m}V$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e1\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003ewhere \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{C}_{0}\\)\u003c/span\u003e\u003c/span\u003e and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{C}_{e}\\)\u003c/span\u003e\u003c/span\u003e are the concentrations of parabens in solutions at the initial and equilibrium conditions in mg/L, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:Q\\)\u003c/span\u003e\u003c/span\u003e is the adsorption capacity in mg/g, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:m\\)\u003c/span\u003e\u003c/span\u003e is the amount of adsorbent (g) and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:V\\)\u003c/span\u003e\u003c/span\u003e is the volume of solution (L).\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec8\" class=\"Section2\"\u003e \u003ch2\u003e2.6 Optimization of Adsorption Process\u003c/h2\u003e \u003cp\u003eTo achieve maximum removal of parabens, the optimum process conditions were investigated using Response Surface Methodology (RSM) based Box-Behnken design. The design included three levels, coded as -1 (low), 0 (medium) and +\u0026thinsp;1 (high) with a total of 17 experimental runs performed in a repetitive manner to determine the optimum values of three variables: mass of adsorbent (A), pH of solution (B) and contact time (C). The model is presented in Table\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab2\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 2\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThree independent process variables and their levels in Box-Behnken design\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"8\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c8\" colnum=\"8\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eFactor\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eName\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eUnits\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eMinimum\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eMaximum\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eCoded Low\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCoded High\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c8\"\u003e \u003cp\u003eMean\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eA\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eMass of adsorbent\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003emg\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e10.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e100.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e-1 \u0026harr; 10.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e+\u0026thinsp;1 \u0026harr; 100.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e55.00\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003epH of solution\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003epH\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e2.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e10.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e-1 \u0026harr; 2.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e+\u0026thinsp;1 \u0026harr; 10.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e6.00\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eC\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eContact time\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003emin\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e10.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e120.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e-1 \u0026harr; 10.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e+\u0026thinsp;1 \u0026harr; 120.00\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e65.00\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003eThe impact of three independent variables on the removal of parabens was analyzed using a second-order polynomial equation (Eq.\u0026nbsp;\u003cspan refid=\"Equ2\" class=\"InternalRef\"\u003e2\u003c/span\u003e):\u003cdiv id=\"Equ2\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ2\" name=\"EquationSource\"\u003e\n$$\\:Y={\\beta\\:}_{0}+\\sum\\:_{i=1}^{n}{\\beta\\:}_{i}{x}_{i}+\\sum\\:_{i=1}^{n}{\\beta\\:}_{ii}{x}_{i}^{2}+\\sum\\:_{i=1}^{n}\\sum\\:_{j=1}^{n}{\\beta\\:}_{ij}{x}_{i}{x}_{j}+\\epsilon\\:$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e2\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eIn this equation, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:Y\\)\u003c/span\u003e\u003c/span\u003e is the dependent variable and represents the predicted response; n denotes the number of independent variables; the term \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:\\epsilon\\:\\)\u003c/span\u003e\u003c/span\u003e accounts for random error; \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{x}_{i}\\)\u003c/span\u003e\u003c/span\u003e and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{x}_{j}\\)\u003c/span\u003e\u003c/span\u003e are the independent variables in coded levels, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{\\beta\\:}_{i}\\)\u003c/span\u003e\u003c/span\u003e,\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:\\:{\\beta\\:}_{ii}\\)\u003c/span\u003e\u003c/span\u003e, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{\\beta\\:}_{ij}\\)\u003c/span\u003e\u003c/span\u003e refers to the linear, quadratic and interaction effects of variables, respectively. All experiments were conducted in triplicates.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec9\" class=\"Section2\"\u003e \u003ch2\u003e2.7 Desorption Experiments\u003c/h2\u003e \u003cp\u003eThe adsorbent was separated from the aqueous solution by centrifugation for 10 min at 4,000 rpm and desorption experiments of parabens from the surface of adsorbent were carried out using methanol as the elution solvent. The suspension was ultrasonicated for 10 min and dried in an oven at 50 ̊C for 12 h. The removal percentage was evaluated by Eq.\u0026nbsp;\u003cspan refid=\"Equ3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003cdiv id=\"Equ3\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ3\" name=\"EquationSource\"\u003e\n$$\\:RE\\:\\left(\\%\\right)=100x\\frac{({C}_{0}-{C}_{i})}{{C}_{0}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e3\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003ewhere \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{C}_{i}\\)\u003c/span\u003e\u003c/span\u003e (mg/L) refers to the final concentrations of parabens after the adsorption cycle.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec10\" class=\"Section2\"\u003e \u003ch2\u003e2.8 Error Analysis\u003c/h2\u003e \u003cp\u003eNonlinear regression was utilized to find the best-fitting model and the unknown parameters of isotherm models. The Solver function of Microsoft Excel was used for nonlinear regression and the best-fitting model was determined based on the error analysis and correlation coefficient (R\u003csup\u003e2\u003c/sup\u003e) values. The R\u003csup\u003e2\u003c/sup\u003e and error values of root mean square (RMSE) and the chi-squared parameter (\u003cem\u003eX\u003c/em\u003e\u003csup\u003e\u003cem\u003e2\u003c/em\u003e\u003c/sup\u003e) were calculated using the following expressions (Jain et al., \u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e2019\u003c/span\u003e; Vitek \u0026amp; Masini, \u003cspan citationid=\"CR33\" class=\"CitationRef\"\u003e2023\u003c/span\u003e):\u003cdiv id=\"Equ4\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ4\" name=\"EquationSource\"\u003e\n$$\\:{R}^{2}=1-\\frac{\\sum\\:{\\left({q}_{e,exp}-{q}_{e,pred}\\right)}^{2}}{\\sum\\:{\\left({q}_{e,exp}-{q}_{e,mean}\\right)}^{2}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e4\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equ5\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ5\" name=\"EquationSource\"\u003e\n$$\\:RMSE=\\:\\sqrt{\\frac{\\sum\\:{\\left({q}_{e,exp}-{q}_{e,pred}\\right)}^{2}}{p}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e5\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equ6\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ6\" name=\"EquationSource\"\u003e\n$$\\:{X}^{2}=\\sum\\:\\frac{{\\left({q}_{e,exp}-{q}_{e,pred}\\right)}^{2}}{{q}_{e,pred}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e6\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003ewhere \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{q}_{e,exp}\\)\u003c/span\u003e\u003c/span\u003e and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{q}_{e,pred}\\)\u003c/span\u003e\u003c/span\u003e are the adsorption capacities obtained from experimental and model fitting studies, respectively. p is the sample points and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{q}_{e,mean}\\)\u003c/span\u003e\u003c/span\u003e is the mean value of \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{q}_{e,exp}\\)\u003c/span\u003e\u003c/span\u003e. A value of the \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{R}^{2}\\)\u003c/span\u003e\u003c/span\u003e close to 1 suggests a good fit and explains how well the model explains the variability of the data.\u003c/p\u003e \u003c/div\u003e"},{"header":"3. Results and Discussion","content":"\u003cdiv id=\"Sec12\" class=\"Section2\"\u003e \u003ch2\u003e3.1 Characterization\u003c/h2\u003e \u003cp\u003eFTIR, Raman, XRD, SEM and TEM techniques were used for the structural and morphological characterization of GO and the results are given in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e. As seen in FTIR spectrum (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ea), the structure of GO possessed a broad peak at 3171 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e corresponding to O-H stretching vibrations, indicating the presence of hydroxyl groups, which contribute to its hydrophilicity. The strong peak at 1740 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e was assigned to the C\u0026thinsp;=\u0026thinsp;O stretching vibration of carbonyl groups, including carboxyl or ester functionalities, formed due to the oxidative treatment during synthesis. The peaks at 1565 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e, 1368 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e and 1217 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e were attributed to the C\u0026thinsp;=\u0026thinsp;C stretching of the graphitic backbone, C\u0026ndash;O stretching and C\u0026ndash;O\u0026ndash;C stretching of epoxides, respectively. These peaks confirmed that GO was highly functionalized with oxygen-containing groups, which enhance its ability to interact with various molecules while preserving parts of the original graphitic nature of graphene (Ebrahimi Naghani et al., \u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e2023\u003c/span\u003e).\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eIn the Raman spectrum of GO (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003eb), the bands at 1351 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e and 1588 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e corresponded to the D-band and the G-band, respectively. The D-band was associated with structural defects of GO, such as vacancies, edges or functional groups, introduced during the oxidation process. The G-band represented the in-plane stretching of sp\u003csup\u003e2\u003c/sup\u003e atoms, reflecting the graphitic nature of material. The intensity ratio of the D to G band was calculated as 0.97, implying a considerable amount of defects with the retention of sp\u003csup\u003e2\u003c/sup\u003e hybrid domains. The broad band at 2697 cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e was the indicative of the disruption of the π-π stacking and consistent with the functionalization and oxidation of the graphene sheets (Aujara et al., \u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e2019\u003c/span\u003e). This was also confirmed with the XRD pattern (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ec). The single peak observed at around 10\u0026deg; corresponding to the (001) diffraction plane of GO was a result of the regular stacking of GO layers due to the incorporation of the oxygen-containing groups between the layers (Jiao et al., \u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e2017\u003c/span\u003e). SEM and TEM images (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ed-e) showed the flake-like wrinkled surface and stacked layered structure of GO, which was in line with previous literature (Gurunathan et al., \u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e2016\u003c/span\u003e).\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec13\" class=\"Section2\"\u003e \u003ch2\u003e3.2 Model Determination and Statistical Analysis\u003c/h2\u003e \u003cp\u003eThe optimization of key variables influencing the adsorption performance was employed using Box-Behnken Design approach. Mass of adsorbent, pH of solution and contact time were identified as the primary input variables that significantly affect the uptake of parabens. Both individual and interactive effects of these factors on the adsorption capacity of GO were evaluated through design of experiments. A quadratic model, suggested by the Design Expert software, was selected to describe the adsorption of parabens onto GO adsorbent. A multiple response function (MRF) was generated for the simultaneous optimization of multiple responses, with the removal percentages of five parabens considered as five responses in the design. The formula for the MRF in the first run, used as an example is provided below (Eq.\u0026nbsp;\u003cspan refid=\"Equ7\" class=\"InternalRef\"\u003e7\u003c/span\u003e) (Bezerra et al., \u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e2019\u003c/span\u003e):\u003cdiv id=\"Equ7\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ7\" name=\"EquationSource\"\u003e\n$$\\:MR{F}_{1}=\\frac{{Y}_{i,1}}{{Y}_{i,max}}+\\frac{{Y}_{j,1}}{{Y}_{j,max}}+\\frac{{Y}_{k,1}}{{Y}_{k,max}}+\\frac{{Y}_{l,1}}{{Y}_{l,max}}+\\frac{{Y}_{m,1}}{{Y}_{m,max}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e7\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eIn this equation, Y is the removal percentage, the terms i, j, .., m correspond to each paraben, the \u0026ldquo;max\u0026rdquo; term indicates the highest value observed across all run, and the number \u0026ldquo;1\u0026rdquo; refers to the specific run in the sequence (in this case, the first run). The final model in actual (uncoded) terms is given in the following equation:\u003cdiv id=\"Equ8\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ8\" name=\"EquationSource\"\u003e\n$$\\:Y=4.55973+0.019198A-0.156323B+0.000134C+0.001551AB+0.000226BC-0.000162{A}^{2}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e8\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eThe positive and negative signs in front of the terms in Eq.\u0026nbsp;(\u003cspan refid=\"Equ4\" class=\"InternalRef\"\u003e4\u003c/span\u003e) indicate whether they have a synergistic or antagonistic effect on the response. Mass of adsorbent (A), contact time (C) and interaction terms (AB and BC) affect the response positively, while pH of solution (B) and the quadratic term of adsorbent mass (A\u003csup\u003e2\u003c/sup\u003e) have negative influence on the response function.\u003c/p\u003e \u003cp\u003eTo evaluate the adequacy of the model and examine the relationships between the parameters and responses, Analysis of Variance (ANOVA) test was applied. The F-values and p-values were used to assess the significance of both the overall model and its individual terms. Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e shows a summary of the ANOVA results for the adsorption of parabens onto GO. As seen in Table\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e, high F-value for the model (118.84) with a p-value of less than 0.0001 indicates that the model is statistically significant and proves that the model can reliably predict the response. The model fits well with a high R\u003csup\u003e2\u003c/sup\u003e value of 0.9862, and no significant lack of fit (p\u0026thinsp;=\u0026thinsp;0.0514), confirming its adequacy for predicting the adsorption behavior accurately. Additionally, the predicted R\u003csup\u003e2\u003c/sup\u003e value of 0.9249 implies the strong prediction accuracy of the model for future applications.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab3\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 3\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eANOVA results of the second order polynomial equation generated for the prediction of parabens removal efficiency\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eSource\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eSum of Squares\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003edf\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eMean\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eF-value\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003ep-value\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eRemark\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eModel\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e3.10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.5170\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e118.84\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e\u0026lt;\u0026thinsp;0.0001\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003esignificant\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eA\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e1.87\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e1.87\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e429.18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e\u0026lt;\u0026thinsp;0.0001\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.4064\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.4064\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e93.42\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e\u0026lt;\u0026thinsp;0.0001\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eC\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.0535\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.0535\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e12.30\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.0057\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eAB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.3118\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.3118\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e71.68\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e\u0026lt;\u0026thinsp;0.0001\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eBC\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.0098\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.0098\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e2.26\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.1634\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eA\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.4532\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.4532\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e104.18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e\u0026lt;\u0026thinsp;0.0001\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eResidual\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.0435\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.0044\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eLack of Fit\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.0392\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.0065\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e6.06\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.051409\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003enot significant\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003ePure Error\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.0043\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.0011\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eCor Total\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e3.15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e16\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eR\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.9862\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eAdjusted R\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.9779\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003ePredicted R\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e0.9249\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eAdeq Precision\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e37.1510\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003eThe model is graphically illustrated through 3D response surface graphs in Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e. Factors such as mass of adsorbent, pH of solution and their interaction have the most significant impact on the adsorption process, while contact time parameter shows low significance on the response. The adsorption of parabens decreased across the pH range of 2 to 10. Considering the pKa values of parabens (8.5\u0026ndash;8.2), the higher adsorption at lower pH values can be attributed to their neutral form at these conditions, which promotes adsorption by reducing electrostatic repulsion between the paraben molecules and negatively charged surface of GO. As the pH increases, the fraction of negatively charged paraben species increases, resulting in greater electrostatic repulsion with the negatively charged surfaces of the adsorbent, thus making adsorption less favorable. This behavior is consistent with the adsorption mechanisms observed for various organic compounds (Al-Ghouti et al., \u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2022\u003c/span\u003e; Pei et al., \u003cspan citationid=\"CR26\" class=\"CitationRef\"\u003e2013\u003c/span\u003e).\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eAs another significant parameter, the optimum mass of adsorbent was also investigated by varying its value between 10\u0026ndash;100 mg. As expected, the increase in adsorbent mass resulted in higher adsorption capacity due to the greater availability of adsorption sites on the adsorbent surface. This enhances the interaction between the adsorbent and paraben molecules, improving the overall removal efficiency. However, beyond 60 mg adsorbent mass, a plateau was observed, indicating little additional adsorption despite the increased mass. The third variable influencing the adsorption process was the contact time. In this study, there was a slight increase in removal efficiency with the increase of contact time. This may be likely due to the rapid occupation of active sites in the initial stage, which causes the adsorption rate to slow down as the sites become increasingly saturated. Finally, as a result of the experimental design, the optimal values for the three variables were determined to be an adsorbent mass of 60 mg, a solution pH of 2.0, and a contact time of 30 minutes.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec14\" class=\"Section2\"\u003e \u003ch2\u003e3.3 Adsorption Isotherms\u003c/h2\u003e \u003cp\u003eThe adsorption equilibrium data are effectively depicted by adsorption isotherms, which describe the relationship between the amount of solute adsorbed per unit mass of adsorbent (q\u003csub\u003ee\u003c/sub\u003e) and the equilibrium concentration of the solute in the solution (C\u003csub\u003ee\u003c/sub\u003e). The adsorption isotherms for the removal of five parabens (MePB, EtPB, PrPB, BuPB and BePB) were studied using initial concentration of parabens between 2.5 mg/L and 80 mg/L at an adsorbent mass level of 60 mg. The adsorption equilibrium data were obtained under optimum process conditions and fitted to Langmuir and Freundlich adsorption isotherms for further investigation.\u003c/p\u003e \u003cp\u003eThe Langmuir model assumes a monolayer adsorption on a homogeneous surface, while the Freundlich model describes adsorption on heterogeneous surface where the adsorption energy decreases exponentially with increasing coverage. The Langmuir and Freundlich models can be expressed by the following equations, respectively (Jain et al., \u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e2019\u003c/span\u003e):\u003cdiv id=\"Equ9\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ9\" name=\"EquationSource\"\u003e\n$$\\:{q}_{e}=\\frac{{q}_{m}{K}_{L}{C}_{e}}{1+{K}_{L}{C}_{e}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e9\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equ10\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ10\" name=\"EquationSource\"\u003e\n$$\\:{q}_{e}={K}_{F}{\\left({C}_{e}\\right)}^{\\frac{1}{n}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e10\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003ewhere \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{q}_{e}\\)\u003c/span\u003e\u003c/span\u003e is the amount of adsorbed paraben per unit mass of adsorbent at the equilibrium (mg/g), \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{C}_{e}\\)\u003c/span\u003e\u003c/span\u003e is the equilibrium concentration of paraben (mg/L), n is the heterogeneity factor of Freundlich model, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{K}_{L}\\)\u003c/span\u003e\u003c/span\u003e (L/mg) and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:{K}_{F}\\)\u003c/span\u003e\u003c/span\u003e (dimensionless) are the model constants.\u003c/p\u003e \u003cp\u003eThe equilibrium data were analyzed using nonlinear regression to determine the R\u003csup\u003e2\u003c/sup\u003e values and isotherm constants. The results are shown in Table\u0026nbsp;\u003cspan refid=\"Tab4\" class=\"InternalRef\"\u003e4\u003c/span\u003e. The R\u003csup\u003e2\u003c/sup\u003e values calculated for Freundlich model (ranging from 0.9807 to 0.9957) were found to be significantly closer to unity when compared to Langmuir model (ranging from 0.9550 to 0.9878) for all compounds. The fitted model results with the experimental data are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003e. All obtained values, including the closeness of experimental and model values, higher R\u003csup\u003e2\u003c/sup\u003e values and lower error values confirm the better fit of the Freundlich model to the isotherm data in this study. As given in Table\u0026nbsp;\u003cspan refid=\"Tab4\" class=\"InternalRef\"\u003e4\u003c/span\u003e, the n values were calculated to be greater than 1, indicating the favorable adsorption of parabens. In addition, the constants of Langmuir and Freundlich models (K\u003csub\u003eL\u003c/sub\u003e and K\u003csub\u003eF\u003c/sub\u003e) increased with increasing molecular weight and length of the alkyl side chain. The adsorption behaviors of parabens were closely correlated with their hydrophobicity. Along with hydrophobic interactions, other mechanisms such as π\u0026ndash;π stacking, hydrogen bonding and electrostatic forces, likely played significant role in the strong adsorption of parabens onto the GO surface. Possible adsorption mechanism of parabens onto GO nanoflakes was presented in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab4\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 4\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eIsotherm parameters for removal of parabens using graphene oxide\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eIsotherm Models\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eParameter\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c7\" namest=\"c3\"\u003e \u003cp\u003eCompounds\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eMePB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003eEtPB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003ePrPB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003eBuPB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003eBePB\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\" morerows=\"4\" rowspan=\"5\"\u003e \u003cp\u003e\u003cb\u003eLangmuir\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eq\u003csub\u003em\u003c/sub\u003e (mg/g)\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e9.3971\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e10.3382\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e10.8573\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e11.9278\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e14.1634\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eK\u003csub\u003eL\u003c/sub\u003e (L/mg)\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.1742\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.1884\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.3036\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.5266\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e3.3042\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eR\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.9550\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.9521\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.9600\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.9684\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.9878\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eRMSE\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.5205\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.5859\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.5866\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.5807\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.4221\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e5.9372\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e4.3226\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e3.7890\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e3.6975\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e2.1566\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\" morerows=\"4\" rowspan=\"5\"\u003e \u003cp\u003e\u003cb\u003eFreundlich\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003en\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e2.1719\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e2.0909\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e2.2186\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e2.3221\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e2.3860\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eK\u003csub\u003eF\u003c/sub\u003e (mg/g)(L/mg)\u003csup\u003e(1/n)\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e1.7615\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e1.9452\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e2.5691\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e3.5792\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e8.7487\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eR\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.9957\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.9945\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.9940\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.9910\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.9807\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eRMSE\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.1614\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.1977\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.2275\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.3101\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.5297\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX\u003csup\u003e2\u003c/sup\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.1290\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.1500\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.2326\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.4011\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.9485\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec15\" class=\"Section2\"\u003e \u003ch2\u003e3.4 Reusability Study\u003c/h2\u003e \u003cp\u003eThe desorption and reusability properties of an adsorbent are crucial for its practical and economical application in environmental processes. The regeneration of adsorbents through effective desorption reduces the environmental impact by limiting the waste generation. Herein, the reusability of GO nanoflakes was studied for five cycles and the results were shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e6\u003c/span\u003e. The removal efficiency of GO remained constant during five consecutive adsorption/desorption cycles, demonstrating its excellent stability and potential for reuse. This indicated that GO can be effectively regenerated, maintaining its adsorption capacity without significant loss of performance.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e"},{"header":"4. Conclusions","content":"\u003cp\u003eThe GO nanoflakes were synthesized using Improved Hummers method and then utilized as an adsorbent for the simultaneous removal of five parabens. The chemical and morphological characteristics of GO nanoflakes were identified by FT-IR, Raman, XRD, SEM and TEM results. The statistical design experiment by RSM was used for the optimization of adsorption process and batch adsorption experiments were carried out under optimum process parameters. The results indicated that GO nanoflakes had a very high adsorption capacity at pH 2.0. The high removal rate obtained after multiple cycles highlighted the structural integrity of GO, suggesting that the material did not undergo degradation or substantial changes in surface properties during the adsorption/desorption cycles, making it a cost-effective and environmentally sustainable option for long-term use in the removal of parabens.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e \u003ch2\u003eDeclaration of Competing Interest\u003c/h2\u003e \u003cp\u003eThe author declares that she has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.\u003c/p\u003e \u003c/p\u003e\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eE.O.E conducted experiments, metholodology, formal analysis, wrote the main text, reviewed the manuscript.\u003c/p\u003e\u003ch2\u003eAcknowledgements\u003c/h2\u003e \u003cp\u003eThe author would like to thank İstanbul Technical University Scientific Research Projects Coordination Unit for the project supported in Project Number: MGA-2023-44569.\u003c/p\u003e\u003ch2\u003eAvailability of Data\u003c/h2\u003e \u003cp\u003eData will be available on reasonable request.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eAker, A. 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[email protected]","identity":"adsorption","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"adso","sideBox":"Learn more about [Adsorption](http://link.springer.com/journal/10450)","snPcode":"10450","submissionUrl":"https://submission.nature.com/new-submission/10450/3","title":"Adsorption","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Graphene oxide nanoflakes, Parabens, Adsorption Isotherms, Reusability","lastPublishedDoi":"10.21203/rs.3.rs-5231190/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5231190/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eParaben contamination in aquatic systems, primarily from personal care products, pharmaceuticals and industrial effluents, is an increasing environmental concern due to their widespread use as preservatives. The removal of parabens through conventional wastewater treatment processes are difficult and requires the development of innovative water treatment methods. In this study, graphene oxide nanoflakes were produced by Improved Hummers\u0026rsquo; method and their adsorption characteristics were investigated for simultaneous removal of five parabens. Fourier transform infrared spectroscopy, Raman Spectroscopy, X-Ray Powder Diffraction, Scanning Electron Microscope and Transmission Electron Microscope were used and the nanoflakes were successfully characterized. The chromatographic method was developed for the simultaneous quantification of parabens. The process optimization overall removal efficiency of parabens was achieved using Response Surface Methodology by a multiple response function. Nonlinear regression was used to fit the equilibrium data and the Freundlich model described the adsorption isotherm data accurately with R\u003csup\u003e2\u003c/sup\u003e values between 0.9807 and 0.9957. Factors such as mass of adsorbent, pH of solution and their interaction have the most significant impact on the adsorption process, while contact time parameter shows low significance on the response. The adsorption behaviors of parabens were closely correlated with their hydrophobicity. Along with hydrophobic interactions, other mechanisms such as π\u0026ndash;π stacking, hydrogen bonding and electrostatic forces, likely played significant role in the strong adsorption of parabens onto the GO surface. The reusability experiment showed that graphene oxide nanoflakes had a high potential present as a reusable adsorbent for the removal of parabens.\u003c/p\u003e","manuscriptTitle":"Graphene Oxide as a Highly Efficient and Reusable Adsorbent for Simultaneous Removal of Parabens: Optimization by Response Surface Methodology, Adsorption Isotherms and Reusability Studies","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-12-04 06:22:33","doi":"10.21203/rs.3.rs-5231190/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-11-26T00:46:05+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-11-25T16:49:55+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"130693139936143673334316371405683045098","date":"2024-10-28T05:14:09+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-10-28T05:02:47+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-10-11T17:58:45+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-10-11T02:36:19+00:00","index":"","fulltext":""},{"type":"submitted","content":"Adsorption","date":"2024-10-09T09:13:54+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"
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