An Alternative and Simple Method for the Preparation of Bare Silica Nanoparticles Using Sugarcane Waste Ash , an Abundant and Despised Residue in the Brazilian Industry

Sugarcane waste ash, a Si-rich waste product, is generated in large quantities and creates a serious disposal problem in the Brazilian ethanol-sugar industry, affecting the environment and public health. Here, a simple method capable of generating bare silica nanoparticles utilizing this residue is demonstrated. Firstly, the crystalline silica present in sugarcane waste ash (SWA) was converted into amorphous by melting a mixture of sodium hydroxide and SWA at 550 °C for 1 h. The silica nanoparticles (SiO2NPs) were formed by lowing pH. This production process of SiO2NPs from SWA was optimized varying the ash:NaOH mass ratio, increasing the silica extraction up to 96%. The sample’s composition was characterized by total X-ray fluorescence spectroscopy, morphology and physical-chemical properties were investigated by scanning electron microscopy (SEM), transmission electron microscopy (TEM), X-ray diffraction, specific surface area measurements, Fourier-transform infrared spectroscopy (FTIR) and thermogravimetric analyses (TGA), followed by use as adsorbent for the removal of methylene blue dye. With this process of extraction, nanoparticles smaller than 100 nm were generated, with a surface area of 63 m g and a maximum adsorption capacity of 37 mg g for methylene blue. The results indicate a successful process for obtaining an adsorbent from an industrial waste product using a cost effective and rapid synthesis procedure rendering renewable product.


Introduction
Several questions are lifted when we think about sustainable agriculture, green energy and conscious consumption.Sugarcane is a product capable of playing a role in each one of these aspects and has been studied to a great extent, especially in Brazil, the 4 th largest agricultural producer and the largest sugarcane producer in the world.These points are crucial for the future, not only for the industry and the government, but also for the society in general.
Sugarcane is of immense importance to the Brazilian agricultural and economic industries.Considering only the current sugarcane plantations, it is expected that roughly 657 million tons of sugarcane were produced in 2018. 1 Sugarcane is considered a renewable source for the generation of ethanol, a green fuel, and it can also be used to generate sugar, an essential component of the food industry.After the production of ethanol and/or sugar, the sugarcane bagasse can then be burned for the generation of electricity, making sugarcane almost wholly utilized.The only leftover product is the ashes which correspond to around 12 million tons per year.
Sugarcane waste ash is a silica-rich by product generally forming more than 70% of the residue, 2 and although this silica can be utilized as a raw material for the production of ceramics, glass, paints, polymers, rubber, cosmetics, catalyst, personal care products etc., [3][4][5][6] the primary commercial source of silica is sand, typically in the form of quartz, where a melting process is utilized during the extraction. 7enewable adsorbent materials can be prepared from agro-industrial, biological or organic sources.At present, the search for a low-cost mode of preparation and high adsorption capacity continues. 8Considering the adsorption properties, many different approaches are followed to obtain a high adsorption capacity, such as increasing the degree of porosity, decreasing the size of the particles (in turn increasing the surface area) or modifying the surface of the particles (introducing different molecules capable of interacting with contaminants).][11] Sugarcane waste ash can be utilized to generate silica nanoparticles (SiO 2 NPs) in the presence of cetyltrimethylammonium bromide (CTAB), 12 as previously demonstrated by our group; however, in this article the synthesis of bare silica nanoparticles without the presence of stabilizers is described.Nanoparticles without stabilizers have more applications due to the fact that they can be modified as needed, avoiding the problems generated by previously modified molecules, since removing molecules from the surface of nanoparticles in general, can cause destabilization or incompletion.
Thus, in this study, silica nanoparticles were produced utilizing sugarcane waste ash as feedstock.These nanoparticles had their composition, physical-chemical properties, and textural properties extensively studied by total X-ray fluorescence spectroscopy, scanning electron microscopy (SEM), transmission electron microscopy, X-ray diffraction, attenuated total reflectance-infrared spectroscopy and thermogravimetric analyses.The role of the ash:NaOH ratio during the extraction of silica was investigated, and the nanoparticles that were obtained had their adsorptive capacity investigated for the removal of methylene blue dye from aqueous solutions, demonstrating the first possible application of this material.

Experimental procedure
Extraction of sodium silicate from sugarcane waste ash was carried out by melting a mixture of sodium hydroxide and SWA at 550 °C for 1 h, varying the proportion of ash:NaOH (1:0.5;4][15] After the mixture cooled down to room temperature, distilled water was added to the mixture and refluxed (at boiling point) for 4 h, solubilizing all the sodium silicate in an aqueous medium.Then, a hydrochloric acid solution (6.0 mol L -1 ) was added drop by drop, until the pH decreased to 2.0.Concentrated NH 4 OH was then added until pH increased to 8.5. 13,14The resulting gel was aged at room temperature for 12 h.This aged nanosilica gel was washed with distilled water, filtered and oven dried at 120 °C overnight.The dried samples were washed for a second time with distilled water, aiming at the complete removal of sodium chloride and others salts, filtered and oven dried at 120 °C overnight.The experimental procedure is resumed on Figure S1 (Supplementary Information (SI) section) and equations 1 and 2: The different samples were labeled based on the weight proportion of the reactants utilized in the process of the silicate extraction: 1 ash:0.5NaOH (SiO 2 NPs 1:0.5); 1 ash:10 NaOH (SiO 2 NPs 1:1.0); 1 ash:1.5NaOH (SiO 2 NPs 1:1.5) and 1 ash:2 NaOH (SiO 2 NPs 1:2.0).The silica content in sugarcane waste ash is about 77.3 wt.%, thus the silica nanoparticles extraction yield (wt.%) was calculated using equation 3: 16 (3)

Characterization
The chemical composition of sugarcane waste ash and silica nanoparticles were analyzed directly and without any form of treatment, via total X-ray fluorescence spectroscopy (TXRF), using the Bruker PICOFOX S2 equipment, Germany.
Scanning electron microscopy (SEM) images were recorded on a microscope with a field emission gun (FEG-SEM), model JSM-6701F, from JEOL (Japan), at a typical acceleration voltage of 2.0 kV.SEM-FEG samples were prepared to deposit, waste ash or silica nanoparticles, dispersed in water, over a polished copper stub.
Transmission electron microscopy (TEM) images were registered using a microscope from JEOL, model-JEM-2100, Japan.TEM samples were prepared to disperse a small amount of sample in water (ca.1.0 g L -1 ), sonicated in high shear, and then 1 µL of the suspension was placed onto a copper grid covered with a thin carbon film and dried in air.
X-ray diffraction analyses (XRD) were performed using a Rigaku Multiflex diffractometer with a Cu anode using Co Kα radiation at 40.0 kV and 20.0 mA over the range (2θ) of 5-80° with a scan time of 0.5° min -1 .
The specific surface area and pore distribution of samples were analyzed using N 2 adsorption-desorption isotherms at −196 °C using a Micromeritics ASAP 2000 instrument, China.
UV-Vis spectra of the samples were obtained using a Varian spectrophotometer, model Cary 1E, USA utilizing quartz cuvettes with a 10.0 mm path length, and scanning samples from 200 to 800 nm.
Fourier-transform infrared (FTIR) spectroscopy was performed using a spectrometer from Bruker, model Alpha, Germany operating in the attenuated total reflectance (ATR) mode.The spectra of samples were obtained using 200 cumulative scans, in the range of 375 to 4000 cm -1 .
Thermogravimetric analyses (TGA) were recorded using a thermogravimetric analyzer TGA/SDTA from Mettler Toledo, Switzerland.Around 10.0 mg was weighed and analyzed in a nitrogen atmosphere with a flow rate of 100.0 mL min -1 , using an alumina-port sample heated to 1000 °C with a heating rate of 10 °C min -1 .

Adsorption study
The isotherm adsorption studies of the MB dye onto SiO 2 NPs were conducted at different initial MB concentrations (from 0 to 100.22 mg L -1 ).Kinetics experiments were carried out agitating the MB solutions with SiO 2 NPs at 190 rpm and an adsorbent dose of 1.0 g L -1 for different times from 0 to 360 min at a constant MB concentration of 40.0 mg L -1 .All experiments were performed in triplicate at 25 °C.An analytical curve prepared for the MB is presented in Figure S2 (SI section), the concentration of the MB before and after adsorption was measured using a UV-Vis spectrophotometer.
The equation used for the analytical curve was Abs = −0.0126+ 0.16593[MB] (mg L -1 ) in λ = 660 nm, and the value of the coefficient of the adjusted determination (R 2 adj. ) was 0.9976.The amount of MB removal was expressed as the removal percentage of contaminants and calculated using equation 4: (4)   where C i and C f are the initial and final concentrations of the contaminants, respectively.The amount of contaminant adsorption as a function of time and at equilibrium, q t , and q e (mg g -1 ), respectively, were calculated using equation 5: (5)   where C i and C e (mg L -1 ) are concentrations of the contaminants at the beginning, the end and at equilibrium, respectively, V (L) is the volume of the contaminant solution, and m (g) is the mass of the adsorbent. 171][22] The Langmuir, 23 Freundlich, 24 Liu 25 and Sips 26 nonlinear models were applied to fit the equilibrium data of the MB by SiO 2 NPs.The equations of the nonlinear kinetics, isotherm models and error functions (R 2 adj , reduced Chi-Square and standard deviation (SD)) are described in the literature. 27

Characterization of SiO 2 NPs
The synthetic procedure described in this manuscript is, in part, based on previous publications where all characterizations of sugarcane waste ash were reported. 12,15n this article the procedure utilized to obtain bare silica nanoparticles and the properties of these nanoparticles are presented.
The silicate was extracted from sugarcane waste ash by mixing the ashes with sodium hydroxide and heating the mixture to 550 ºC.Sodium hydroxide melts at temperatures above 320 ºC which increases the interaction with silica in the ash, enhancing the reaction between the hydroxide ions and the silica (initially in crystalline form) and leading to the formation of silicate.The evaluation of this alkaline extraction was performed at four different proportions of ash:NaOH, the yield of these extractions was calculated based on the formatted silica nanoparticles.The results obtained by utilizing the proportions from 1:0.5 to 1:2.0 are presented in Table 1 below.
In Table 1, it is possible to observe that the extraction yield increases from 35.33% for the 1:0.5 (ash:NaOH) mixture to 95.94% for the 1:2 (ash:NaOH) mixture, however it is possible to see that in the 1:1.5 ratio, the yield is already above 95%.This indicates an increase of less than 0.5% for an increase of 0.5 times in the proportion of NaOH, the maximum extraction capacity of this method was reached at the 1:1.5 (ash:NaOH) proportion.
Analyzing equation 1, the theoretical value necessary for a total extraction based on w:w, should be a proportion of 1:1.33 (ash:NaOH) for a pure sample regarding the SiO 2 quantity.This larger quantity that is necessary can be due to an increased difficulty to extract silica when it is present in a crystalline form, and also due to the presence of other elements capable of reacting with the hydroxide ions, like iron and aluminum. 12igure 1 shows the XRD diffractograms of the SiO 2 NPs obtained with different ratios of ash:NaOH.Different from sugarcane waste ash which only presents crystalline silica that is mainly assigned to peaks present in the quartz form, 12,15 (Figure S3, SI section), the diffractograms of silica nanoparticles for the synthesized samples indicate the presence of amorphous silica only which is characterized by the presence of a broad single peak, reaching its maximum at 22° (2θ), corroborating with examples in the literature. 13,14,16,28The absence of crystalline peaks in the structure does not allow the Scherrer equation to be utilized for the calculation of the crystallite size.
Another important observation is that the absence of the crystalline phase in the material indicate the absence of impurities, such as NaCl, or crystalline unreacted silica.It is possible to conclude that the samples have the same structural and spectroscopic characteristics, which suggest that only the yield is affected when the sodium hydroxide quantity is increased.This is an important observation with regards to the properties and future applications.
Aiming to detect the presence of organic compounds on the surface of SiO 2 NPs, all samples were also analyzed by FTIR using ATR mode, as can be seen in Figure 2, below.
The infrared spectra were recorded in the range of 4000-375 cm -1 , and it is possible to observe that all samples are very similar, only observing the characteristic peaks of the silica in all the samples.The peaks at 450 and 798 cm -1 can be assigned as symmetric stretching of siloxane groups (Si−O−Si), as well as the peak at 1060 cm -1 , an asymmetric stretching of these groups.The shoulder around 960 cm -1 is related to the angular deformation Si−OH of the silanol group. 4,29The FTIR spectra indicate that none of the samples have (or have in very low concentrations, undetectable by this technique) organic molecules on their surface, indicating that the samples are bare or have low concentrations of molecules on their surface.This is very interesting since organic molecules, especially ones that contain carboxylates, are difficult to remove from metallic oxides, even after treatment with peroxides or other oxidative species. 30his low presence of organic molecules is confirmed by TGA analyses performed in a nitrogen atmosphere, presented in Figure 3, below.Analyzing the thermogravimetric (TG) curves, it is possible to observe a mass loss behavior similar in all samples and observing the presence of three different processes.In the first stage of the thermoanalysis (until 180 °C), a loss attributed to moisture occurred and the water physically adsorbed to the surface.The second mass loss, between 180-550 °C, can be assigned to the decomposition of possible remaining organic structures.This loss is equal in all samples, evident when the inclination of the four curves was analyzed. 31The third decomposition stage, between 550-900 °C, is due to the loss of residual silanol and the decomposition of NaCl around 800 °C. 16Above 900 °C the loss of mass can be attributed to the surface dehydroxylation reaction in all samples. 31TG and derivative thermogravimetric analysis (DTG) curves of the sugarcane waste ash are shown in Figure S4 (SI section).
Analyzing the samples individually, it is possible to see that the sample SiO 2 NPs (1:0.5) has less water adsorbed to its surface than the other samples (loss until 100 ºC).Although the drying process had been applied equally for all samples, the smaller quantity of sample generated (due to lower yield) made it easier to dry the sample, however this difference is only about 2% for SiO 2 NPs (1:0.5) and the other samples.On the other hand, the loss of organic material is almost the same, which could be seen in the parallelism of the curves where all samples loss around 2% of the organic material, thus presenting a very low quantity of organic material, as already reported when FTIR analyses were conducted.
In the third process, the samples presented different behaviors due to different quantities of NaCl.The sample with the 1:0.5 proportion presented a lower quantity of NaCl.The samples with the 1:1.0, 1:1.5 and 1:2.0 proportions presented roughly the same quantities of NaCl.This fact can also be explained by the differences in the washing processes of the samples.However, it was possible to see that all samples had less than 1.0% of NaCl.The results obtained in the TG are in agreement with the data reported by the analysis of infrared vibrational spectra (see Figure 2), where all samples showed the presence of a low quantity of organic material and a material with composition of only one inorganic material.
Considering the similarity of the samples observed by XRD, FTIR and TGA, the sample SiO 2 NPs (1:1.5) was chosen to be explored further with regards to morphology, composition, superficial area and adsorption capacity, since it is possible to observe the samples with higher yield and lower quantity of sodium hydroxide needs for silica extraction.Different magnifications of SEM and TEM images of the SiO 2 NPs (1:1.5)sample are presented in  The images confirm the presence of irregular quasi-spherical silica nanoparticles, with a size smaller than 100 nm.It is also observed that the nanoparticles formed aggregates of several nanoparticles, especially due to the absence of stabilizer molecules, however it was in fact possible to observe their individualities by looking at the boards presented in the microscopy.
The EDS spectrum of the SiO 2 NPs (1:1.5)sample, presented in Figure 5, showed only the presence of oxygen (at 0.5 keV) and silicon (at 1.7 keV) as main peaks (the Cu signal observed is due to the grid utilized to perform the measurements), however the composition of the elements determined by TXRF (Table 2) showed the presence of other elements in a lower quantity.The composition of sugarcane waste ash is shown in Table 2.
It was possible to observe a significant increase in the purity of the material where a Si content of 77.32 wt.% for sugarcane waste ash increased to 94.89 wt.% for the SiO 2 NPs (1:1.5)sample.As a consequence, the content of Al decreased from 4.10 (ash) to 1.67 wt.% (SiO 2 NPs 1:1.5),Fe decreased from 8.64 (ash) to 2.57 wt.% (SiO 2 NPs 1:1.5),K decreased from 4.22 (ash) to 0.13 wt.% (SiO 2 NPs 1:1.5), the Ca content decreased from 2.00 (ash) to 0.13 wt.% (SiO 2 NPs 1:1.5) and Ti decreased from 1.55 (ash) to 0.40 wt.% (SiO 2 NPs 1:1.5).These results indicate that the process of extraction can also purify the material resulting in high purity silica.The observed decrease in Fe and Al helps the future utilization of these nanoparticles as supports for catalysts. 32he surface area and porosity of the material were analyzed by using a N 2 adsorption/desorption isotherm for the SiO 2 NPs (1:1.5)sample.The Brunauer-Emmett-Teller (BET) analysis and the textural properties are reported in Figure 6 and Table 3, respectively.The textural properties of the sugarcane waste ash has already been reported in a previous article, 12 thus only the results of the SiO 2 NPs are presented.The SiO 2 NPs (1:1.5)sample isotherm can be classified as Type IIb, 33 which is associated with aggregates of plate-like particles with non-rigid, slit-shaped pores, resulting in large pore size distribution.The absence of the plateau in the P/P° close to 1 served as evidence for the presence of a macropore and the hysteresis loop observed between the adsorption-desorption branches is related to the presence of a mesopore. 34Thus, the mesoporous structure was evaluated through the Barrett-Joyner-Halenda (BJH) method (insert in Figure 6).
The pore size distribution between 2 and 50 nm, and the distribution of pores sizes above 50 nm (insert in Figure 6) indicated the presence of a mesopore and a macropore, respectively. 35The average pore diameter of the SiO 2 NPs 1:1.5 sample was 33 nm (mesoporous materials) as shown in Table 3.The surface area and the pore volume of the SiO 2 NPs 1:1.5 sample were 63 m 2 g -1 and 0.47 cm 3 g -1 , respectively.We obtained SiO 2 NPs with a surface area more than 2.8 times larger than that obtained by Bhakta et al. 36 for the Stober-NPs sample.These results showed an increase in the superficial area (sugarcane waste ash has a surface area of 5 m 2 g -1 ) of more than 12 times, which is considered a very important aspect in the application of adsorbents.

Adsorption study
The kinetics of the adsorption, the adsorption capacity and the mechanism of adsorption to the prepared silica nanoparticles were evaluated utilizing a MB dye.8][39][40] Figure 7 shows the variation of the amount of MB adsorbed (q t ) onto SiO 2 NPs 1:1.5 as a function of time and Table 4 resumes the parameters for pseudo-first-order, pseudo-second-order and general-order kinetic models.
Considering solely the experimental points, it was possible to observe that MB adsorption occurs very fast during the first 10 min, and saturation occurs after 100 min.According to the kinetic models, the pseudo-second-order and general-order models presented a slightly better fit to the experimental data as compared to the pseudo-first-order model.However, the general-order model presented an adjusted coefficient of determination (R 2 adj. ) value the closest to 1 and the lowest values of reduced Chi-square and SD.This suggests a smaller disparity between the calculated q e values and the experimental values, therefore, the q e value (31.29 mg g -1 ) predicted by the general-order model was the closest one to the experimental q e value (30.95 mg g -1 ) (see Table 4).

0.9723
Reduced Chi-squared 2.833 SD / (mg g -1 ) 1.683 k f : pseudo-first-order adsorption rate constant; q e : equilibrium adsorption capacity; R 2 adj.: adjusted coefficient of determination; SD: standard deviation; k s : pseudo-second-order adsorption rate constant; k N : generalorder adsorption rate constant; n: order of adsorption with respect to the effective concentration of the adsorption active sites present on the surface of adsorbent.The kinetic model of general-order predicted that the order of an adsorption process should follow the same trend as a chemical reaction, where the order of the reaction is obtained experimentally.Since the order of reaction of the adsorption process cannot be predicted theoretically, it is not appropriate to predetermine the order of adsorption kinetics as being of the first or second order, unless the adsorption mechanisms are well known.However, little or nothing is known about the reaction mechanisms, due to the fact that the adsorption process is extremely complex and several mechanisms may be involved.This fast association of the adsorbate to the adsorbent is very important for the utilization of this material for the remediation of water bodies, as well as for the utilization as filters or other adsorbent applications. 41he adsorption isotherms describe the relationship between q e and C e at a constant temperature.The comparison of nonlinear fitted curves from experimental data and Langmuir, Freundlich, Liu and Sips isotherm models are shown in Figure 8 below.The coefficients of determination and the isotherm parameters from the nonlinear regressive method are listed in Table 5.
According to Figure 8 and Table 5, the Langmuir adsorption nonlinear model was the one that best fitted the experimental data agreeing with the value of R 2 adj.closer to 1 as compared to the value of R 2 adj. of the Freundlich, Liu and Sips model.This suggests that the adsorption of MB dye molecules onto SiO 2 NPs 1:1.5 occurs in a monolayer in a finite number of adsorption sites.Moreover, presented the lowest value of reduced Chi-square and SD, and the monolayer maximum adsorption capacity calculated from the Langmuir isotherm is 37.3 mg g -1 , which approaches the experimental data (36.7 mg g -1 ).This is an expected result since these nanoparticles are bare and the only possible interaction is the electrostatic interaction between the negative charges on the surface of the silica nanoparticles and the positive charge of MB. 40,[42][43][44][45][46][47] This way this type of interaction can only generate a single layer of molecules on the surface of the nanoparticles, and after the neutralization of the surface, there is a saturation of the surface.
According to the literature, 39,44 meso and macropores facilitate the transport of dye molecules to the adsorption sites of the adsorbent.A positive effect was observed in this study where the pore size distribution (meso and macropores) of SiO 2 NPs facilitated the adsorption of the MB molecule that have a size of 1.43 nm in length and 0.61 nm in height. 39

Conclusions
Silica nanoparticles were successfully synthesized from sugarcane waste ash.The yield of the SiO 2 NPs  extraction was above 95% and remained constant at an ash:NaOH ratio of 1:1.5.The SiO 2 NPs 1:1.5 samples were characterized by SEM and TEM, which showed the presence of small nanoparticles (< 100 nm).In addition, the BET method was also applied in which the nanoparticles presented a specific surface area of 63 m 2 g -1 and the coexistence of mesopores and macropores.The SiO 2 NPs 1:1.5 adsorbent was applied to adsorb the MB dye from an aqueous solution and the kinetic model that best predicted the adsorption kinetics was found to be the pseudo-second-order model.The Langmuir isotherm best predicted the experimental data, indicating that MB adsorbed to SiO 2 NPs, forming a monolayer.The adsorbent showed maximum adsorption capacity around 37 mg g -1 as well.The results indicate that it was possible to obtain a desired adsorbent from a renewable source, with a low cost and with an easy and fast synthesis procedure.

Figure 1 .
Figure 1.XRD patterns of the silica nanoparticles samples.

Figure 3 .
Figure 3. TG curves of the silica nanoparticle samples.The measures were performed under N 2 .

Figure 4 .
Figure 4. SEM images of the SiO 2 NPs 1:1.5 sample (a-b) with two different magnifications and TEM images (c-d) with two different magnifications.See more SEM and TEM images in Figures S5, S6 and S7 (SI section).

Figure 4 .
Figure 4.An energy-dispersive X-ray spectroscopy (EDS) spectrum of this same sample is presented in Figure 5.The images confirm the presence of irregular quasi-spherical silica nanoparticles, with a size smaller than 100 nm.It is also observed that the nanoparticles formed aggregates of several nanoparticles, especially due to the absence of stabilizer molecules, however it was in fact possible to observe their individualities by looking at the boards presented in the microscopy.The EDS spectrum of the SiO 2 NPs (1:1.5)sample, presented in Figure5, showed only the presence of oxygen (at 0.5 keV) and silicon (at 1.7 keV) as main peaks (the Cu signal observed is due to the grid utilized to perform the measurements), however the composition of the elements determined by TXRF (Table2) showed the presence of other elements in a lower quantity.The composition of sugarcane waste ash is shown in Table2.

Figure 7 .
Figure 7. Pseudo-first, second-order and general-order model kinetics plot for the removal of MB with the SiO 2 NPs 1:1.5 adsorbent (T = 25 °C; C i = 40.0mg L -1 , adsorbent dose = 1.0 g L -1 ).See UV-Vis spectra before and after MB adsorption in Figure S8 (SI section).

Figure 8 .
Figure 8. Adsorption Langmuir, Freundlich, Liu and Sips isotherm models for the removal of MB via the usage of the SiO 2 NPs 1:1.5 adsorbent (T = 25 °C; adsorbent dose = 1.0 g L -1 , contact time = 2 h).See UV-Vis spectra before and after MB adsorption at equilibrium time in Figures S9 and S10 (SI section).

Table 1 .
Yield of silica nanoparticles extractions

Table 2 .
Total reflection X-ray fluorescence (TRXRF) of sugarcane waste ash and silica nanoparticles

Table 5 .
Parameters isotherm models for MB adsorption onto SiO 2 NPs 1:1.5 : Freundlich equilibrium constant; n F : dimensionless exponent of the Freundlich equation; K g : Liu equilibrium constant; n L : dimensionless exponent of the Liu equation; K s : Sips equilibrium constant; n s : dimensionless exponent of the Sips equation.
max : maximum amount adsorbed; K L : Langmuir equilibrium constant; R 2 adj.: adjusted coefficient of determination; SD: standard deviation; K F