Multifunctional Silica-Based Amphiphilic Block Copolymer Hybrid for Cu(II) and Sodium Oleate Adsorption in Beneficiation Wastewater

Beneficiation wastewater contains various types of pollutants, such as heavy metal ions and organic pollutants. In this work, a silica-based amphiphilic block copolymer, SiO2–g–PBMA–b–PDMAEMA, was obtained by surface-initiated atom transfer radical polymerization (SI-ATRP) for Cu(II) and sodium oleate adsorption in beneficiation wastewater, using butyl methacrylate (BMA) as a hydrophobic monomer and 2-(dimethylamino)ethylmethacrylate (DMAEMA) as a hydrophilic monomer. FTIR, TGA, NMR, GPC, XRD, N2 adsorption–desorption isotherms and TEM were used to characterize the structure and morphology of the hybrid adsorbent. The introduction of PBMA greatly increased the adsorption of sodium oleate on SiO2–g–PBMA–b–PDMAEMA. Adsorption kinetics showed that the adsorption of Cu(II) or sodium oleate on SiO2–g–PBMA–b–PDMAEMA fitted the pseudo-second-order model well. Adsorption isotherms of Cu(II) on SiO2–g–PBMA–b–PDMAEMA were better described by the Langmuir adsorption isotherm model, and sodium oleate on SiO2–g–PBMA–b–PDMAEMA was better described by the Freundlich adsorption isotherm model. The maximum adsorption capacity of Cu(II) and sodium oleate calculated from Langmuir adsorption isotherm equation reached 448.43 mg·g−1 and 129.03 mg·g−1, respectively. Chelation and complexation were considered as the main driving forces of Cu(II) adsorption, and the van der Waals force as well as weak hydrogen bonds were considered the main driving forces of sodium oleate adsorption. The adsorbent was recyclable and showed excellent multicomponent adsorption for Cu(II) and sodium oleate in the mixed solution. SiO2–g–PBMA–b–PDMAEMA represents a satisfying adsorption material for the removal of heavy metal ions and organic pollutants in beneficiation wastewater.


Introduction
Mineral resources are essential and precious sources of wealth for the development of human society.However, in the process of exploitation of mineral resources, a large amount of industrial wastewater will inevitably be produced.If the wastewater is not properly discharged, it will have a serious impact on plant growth, animal fitness and human health, and can also cause serious damage to the local environment and ecology [1,2].Thus, it is very important to properly treat the wastewater produced during mineral processing.
Among various water treatment technologies, adsorption is widely used because of its operability and high efficiency [3,4].The adsorption of heavy metal ions from mineralprocessing wastewater has been widely studied [5][6][7].In addition to harmful heavy metal ions, mineral-processing wastewater also contains organic pollutants such as kerosene [8], xanthate [9], aerofloat [10], sodium oleate [11], etc.However, limited research focuses on the simultaneous removal of heavy metal ions as well as organic pollutants from beneficiation wastewater.Therefore, it is necessary to develop a suitable adsorbent material and evaluate its adsorption capacity for both heavy metal ions and organic pollutants.
Copper is widely used in electrical engineering, light industry, machinery manufacturing, construction, national defense and many other fields for its ductility, thermal conductivity and electroconductibility [12,13].Despite being an essential micronutrient, copper can cause human poisoning at high concentrations, leading to illness and even death [14].Sodium oleate is a commonly used collector in the mineral processing of oxidized copper ore [15,16].Sodium oleate will increase the biochemical oxygen demand of water, which may lead to the extinction of aquatic organisms, and will also affect the soil and plant growth around the water [17].The adsorption removal of copper has been reported in many works in the literature, and the adsorbents involved include activated carbon [18], carbon nanocomposites [19], mesoporous silica [20], zeolite [21], polymer [22], organic-inorganic hybrids [23], etc.However, very few works in the literature deal with the adsorption of sodium oleate.The only adsorbents we have seen in the literature are modified Ca-montmorillonite [24] and Zr-modified phosphogypsum/fly ash composite [25].Therefore, it is of practical significance to study the removal of copper ions as well as sodium oleate.
Organic-inorganic hybrids are widely used in wastewater treatment for their durability, stability and variable adsorption driving forces [26][27][28].Gao et al., reported silica-based functional composite particles grafting with poly(2-(dimethylamino)ethyl methacrylate) (PDMAEMA) by solution polymerization, and the hybrid was used for Cr(VI) and Cu(II) adsorption [29].Zhou et al., reported PDMAEMA brushes on silica particles synthesized by surface-initiated atom transfer radical polymerization (SI-ATRP), and the hybrid was used for Cr(VI) adsorption [30].Wang et al., reported a kapok fiber coated by a mixture of polybutylmethacrylate (PBMA) and hydrophobic silica, and the coated fiber was used for oil adsorption [31].In this work, a new kind of silica-based amphiphilic block copolymer hybrid adsorbent, SiO 2 -g-PBMA-b-PDMAEMA, was prepared by SI-ATRP and was used for Cu(II) and sodium oleate adsorption.DMAEMA and BMA were used as the hydrophilic and hydrophobic monomer, respectively.FTIR, TGA, NMR, GPC, XRD, N 2 adsorption-desorption isotherms and TEM were used to characterize the structure and morphology of the hybrid adsorbent.The adsorption kinetics and adsorption isotherms of Cu(II) and sodium oleate in water were studied, the simultaneous adsorption was taken into account, and the possible adsorption mechanism was proposed.This study is of practical significance to the removal of heavy metal ions and organic pollutants from mineral-processing wastewater.

Materials
The materials and the corresponding purification methods are shown in Table 1.

Preparation of Silica Initiator SiO 2 -Br
The preparation of the initiator was carried out in two steps [33].The first step was the amination of SiO 2 .SiO 2 (2.7 g) and co-solvent (87 mL deionized water and 63 mL ethanol) were added to a three-necked flask and dispersed by sonication combined with mechanical agitation.The ethanol solution of APTES (10.5 mL APTES dissolved in 24 mL ethanol) was then dropped into the three-necked flask and the pH of reaction mixture was set to 10 with ammonia.The reaction was conducted at 50 °C for 24 h to obtain the crude product.The amino-modified nano-silica (SiO 2 -NH 2 ) was obtained after washing with deionized water and ethanol alternately and vacuum drying at 50 °C.The second step was to graft bromine atoms on the surface of SiO 2 -NH 2 to obtain the initiator.SiO 2 -NH 2 (0.5 g) was dispersed in THF (10 mL) in a dried Schlenk flask by ultrasound.Under an ice bath, the Schlenk flask was filled with N 2 and the suspension was stirred for 30 min.Triethylamine (1.5 mL) was injected, and then the mixture of 2-bromoisobutyryl bromide (3 mL) and THF (40 mL) was added dropwise.The reaction was kept in an ice bath for 4 h, and then kept at 35 °C for 48 h.The silica initiator (SiO 2 -Br) was obtained after washing with deionized water and ethanol alternately and vacuum drying at 50 °C.The synthesis scheme of the silica initiator SiO 2 -Br is given in Scheme 1.
Polymers 2022, 14, x FOR PEER REVIEW 4 of 18 The second step was to graft bromine atoms on the surface of SiO2-NH2 to obtain the initiator.SiO2-NH2 (0.5 g) was dispersed in THF (10 mL) in a dried Schlenk flask by ultrasound.Under an ice bath, the Schlenk flask was filled with N2 and the suspension was stirred for 30 min.Triethylamine (1.5 mL) was injected, and then the mixture of 2-bromoisobutyryl bromide (3 mL) and THF (40 mL) was added dropwise.The reaction was kept in an ice bath for 4 h, and then kept at 35 ℃ for 48 h.The silica initiator (SiO2-Br) was obtained after washing with deionized water and ethanol alternately and vacuum drying at 50 ℃.The synthesis scheme of the silica initiator SiO2-Br is given in Scheme 1.  One-step ATRP was used to obtain the SiO 2 -g-PBMA-b-PDMAEMA hybrid.CuCl and CuCl 2 were added into a dried Schlenk flask, and the flask was filled with N 2 before the sequential injection of BMA, PMDETA and solvent with initiator (SiO 2 -Br dispersed in cyclohexanone).It took 24 h for the grafting of BMA onto SiO 2 at 90 °C.The cyclohexanone solution of DMAEMA was injected into the flask after cooling the reaction system to 70 °C, and it took 24 h for the grafting of DMAEMA onto SiO 2 -g-PBMA at 70 °C.SiO 2 -g-PBMA-b-PDMAEMA was obtained after purification with THF and vacuum drying at 50 °C.The synthesis scheme of SiO 2 -g-PBMA-b-PDMAEMA is also given in Scheme 1, and the detailed recipes of polymerization are listed in Table 2.

Characterization of Initiator and Hybrids
Fourier transform infrared (FTIR) spectra were collected by FTIR spectroscopy (Nicolet-380, Thermo Electron Corporation, Waltham, MA, USA) in a spectral range of 4000-400 cm −1 .Thermogravimetric curves were obtained by a thermogravimetric analyzer (TGA, STA449, NETZSCH, Selb, Germany) under a N 2 atmosphere using a heating rate of 10 °C•min −1 from 25 °C to 1000 °C.The nuclear magnetic resonance ( 1 H NMR) spectrum of SiO 2 -g-PBMA-b-PDMAEMA (etching with hydrofluoric acid to obtain PBMA-b-PDMAEMA) was collected by NMR spectroscopy (Bruker Avance NEO 600, Bruker, Karlsruhe, Germany) using deuterium generation of chloroform (CDCl 3 ) as solvent.The molecular weight of SiO 2 -g-PBMA-b-PDMAEMA (etching with hydrofluoric acid to obtain PBMA-b-PDMAEMA) was measured by a gel permeation chromatograph (GPC, Waters 1525, Waters, Milford, CT, USA) using THF as the eluent with a flow rate of 0.5 mL•min −1 .X-ray diffraction (XRD) patterns were recorded on an X-ray diffractometer (X'Pert Powder, Panalytical, Almelo, The Netherlands) with Ni-filtered Cu Kα radiation (40 kV, 40 mA) in a 2 theta of 20-80 • .Nitrogen adsorption-desorption isotherms were measured at 77 K with a specific surface area and porosity analyzer (ASAP 2460, Micromeritcs, Norcross, GA, USA).The surface area was determined based on the Brunauer-Emmett-Teller (BET) method.Mesoporous size distribution was derived from the desorption branches of the isotherms based on the Barrett-Joyner-Halenda (BJH) model.Transmission electron microscopy (TEM, Talos F200X, FEI, Hillsboro, OR, USA) images were recorded after ultrasounding in water for 30 min at an acceleration voltage of 200 kV.
The equilibrium absorption capacity Q e (mg•g −1 ) was calculated according to Equation (1) [34].The removal efficiency η (%) was calculated according to Equation (2) [35]: Polymers 2022, 14, 4187 Here, C 0 (mg•L −1 ) and C t (mg•L −1 ) refer to the initial concentrations and equilibrium concentrations of Cu(II) or sodium oleate, respectively, V (L) refers to the volume of the solution and W (g) refers to the weight of the adsorbent.
Adsorption rate was analyzed using the pseudo-first-order model expressed by Equation (3) [34] and pseudo-second-order model expressed by Equation (4) [34] as follows: Here, Q e (mg•g −1 ) and Q t (mg•g −1 ) are the equilibrium absorption capacity and absorption capacity at time t (min), respectively, k 1 (min −1 ) is the pseudo-first-order rate constant and k 2 (g•mg −1 •min −1 ) is the pseudo-second-order rate constant.

Adsorption Isotherms
Adsorption isotherm experiments were conducted in batch mode with a shaking speed of 120 rpm under a pH of 5, temperature of 25 °C, adsorbent dosage of 1 g•L −1 , equilibrium adsorption time obtained from adsorption kinetics, and controlled initial concentration of Cu(II) or sodium oleate.For Cu(II), 20, 50, 100, 500 and 1000 mg•L −1 were set to be the initial concentration.For sodium oleate, 20, 40, 60, 80 and 100 mg•L −1 were set to be the initial concentration.After equilibrium, the supernatant by centrifugation was analyzed for the concentration of residual Cu(II) or sodium oleate.
The Langmuir isotherm model and the Freundlich isotherm model were investigated.The Langmuir model is expressed by Equation ( 5) [34]: Here, Q e is the equilibrium adsorption capacity (mg•g −1 ), C e is the equilibrium concentration in the solution (mg•L −1 ), Q m is the maximum adsorption capacity (mg•g −1 ) and K L is the Langmuir adsorption isotherm constant (L•mg −1 ).
The Freundlich model is expressed by Equation ( 6) [34]: Here, Q e is the equilibrium adsorption capacity (mg•g −1 ) and C e is the equilibrium concentration in the solution (mg•L −1 ).K f is the Freundlich adsorption isotherm constant ((mg•g −1 ) (L•mg −1 ) 1/n ).The term 1/n is an empirical constant related to the adsorption driving force.

Recovery Experiments
Three adsorption-desorption cycles were performed.The adsorption of Cu(II) or sodium oleate was carried out at a pH of 5, temperature of 25 °C, adsorbent dosage of 1 g•L −1 and initial Cu(II) or sodium oleate concentration of 100 mg•L −1 .An amount of 0.1 mol•L −1 nitric acid and ethanol were used for the desorption of Cu(II) and sodium oleate, respectively.The adsorbent was washed with deionized water and vacuum-dried before use.

Multicomponent Adsorption
In order to investigate the practicability of the adsorbent, the simultaneous adsorption of Cu(II) and sodium oleate was also taken into account.Multicomponent adsorption experiments were carried out in batch mode with a shaking speed of 120 rpm under a pH of 5, temperature of 25 °C and adsorbent dosage of 1 g•L −1 .A mixture of Cu(II) and sodium oleate at equal concentrations was investigated.The adsorption was carried out for 4 h to ensure adsorption equilibrium.The concentration of Cu(II) residue was determined using an atomic absorption spectrometer, and the concentration of sodium oleate residue was determined using a UV-Vis spectrophotometer with a maximum absorption wavelength of 225 nm.The equilibrium absorption capacity Q e (mg•g −1 ) was calculated according to Equation (1), and the removal efficiency η (%) was calculated according to Equation (2).

Adsorbent Characterizations
Characterizations of SiO 2 -g-PBMA-b-PDMAEMA are shown in Figure 1. Figure 1a shows the FTIR spectra of SiO 2 , SiO 2 -Br and SiO 2 -g-PBMA-b-PDMAEMA.The peak in SiO 2 around 3440 cm −1 was attributed to SiO-H vibration, and the peaks around 1107 cm −1 , 800 cm −1 and 474 cm −1 were attributed to Si-O vibration.Compared with SiO 2 , the new peak in SiO 2 -Br around 2970 cm −1 was attributed to C-H vibration in APTES and BiBB, and the new peak of C=O vibration around 1720 cm −1 was attributed to the grafting of BiBB.This indicated that the initiator SiO 2 -Br was successfully prepared.SiO 2 -g-PBMA-b-PDMAEMA expressed strong absorption peaks around 2970 cm −1 and 1720 cm −1 , which were attributed to the grafting of PBMA and PDMAEMA, yet the absorption peaks of SiO 2 around 1107 cm −1 and 474 cm −1 were still maintained.FTIR results proved the chemical structure of SiO 2 -g-PBMA-b-PDMAEMA, indicating the successful preparation of hybrid adsorbent.Figure 1b shows the TGA curves of SiO 2 , SiO 2 -Br and SiO 2 -g-PBMA-b-PDMAEMA.The weight loss below 120°C was due to the evaporation of absorbed water.The weight loss from 120 °C to 1000 °C for SiO 2 and SiO 2 -Br were 5.14% and 20.35%, respectively, and the graft density of SiO 2 -Br was calculated as 0.73 mmol•g −1 by the content of Br.The graft density of SiO 2 -Br laid a foundation for the recipe design of subsequent polymerization.The weight loss from 120 °C to 1000 °C for SiO 2 -g-PBMA-b-PDMAEMA was 88.69%, which indicated that the grafting percentage of PBMA-b-PDMAEMA was 83.55%.SiO 2 -g-PBMA-b-PDMAEMA had a residual weight of 10.17%, which was attributed to the residual SiO 2 .Figure 1c shows the 1 H NMR spectrum of SiO 2 -g-PBMA-b-PDMAEMA.The signal of -C-CH 3 protons was at δ 0.92 ppm (peak a).The signals of -C-CH 2 CH 2 -C-protons in PBMA were at δ 1.39 and 1.61 ppm (peak b).The signal of -CH 2 -protons in the backbone was at δ 1.83 ppm (peak c).The signals of -N-CH 3 and -N-CH 2 protons in PDMAEMA were at δ 2.29 and 2.58 ppm (peaks d and e).The signal for -CH 2 next to -O-C=O was found at δ 4.07 ppm (peak f). 1 H NMR results further proved the grafting of PBMA-b-PDMAEMA onto SiO 2 , indicating the successful preparation of hybrid adsorbent together with the FTIR results.Figure 1d shows the GPC curve of SiO 2 -g-PBMA-b-PDMAEMA.It represented a number-average molecular weight of 18,541 g•mol −1 and a polydispersity index (PDI) of 1.86.This indicated that the measured molecular weight was not far from the theoretical molecular weight of a single arm (27,848 g•mol −1 ) and that the molecular weight distribution was narrow.GPC results verified a typical ATRP process, and the SiO 2 -g-PBMA-b-PDMAEMA was successfully prepared as expected.Figure 1e exhibits XRD patterns of SiO 2 , SiO 2 -g-PBMA-b-PDMAEMA and EBiB-g-PBMA-b-PDMAEMA to confirm the non-crystalline structure of the adsorbent.Pure SiO 2 showed an amorphous structure with a wide diffraction peak around 22.4 • corresponding to the (101) plane [36].The pure polymer showed an amorphous structure without sharp peaks, which was also reported in the literature [37][38][39].The hybrid material also showed an amorphous structure, and the effect of polymer grafting onto SiO 2 could be seen through the peak shift of the (101) plane from 2θ = 22.4 • to 2θ = 21.2 • .The XRD diffraction peak shifted to a lower angle, indicating an increase in interplanar spacing [40], causing an easier diffusion of adsorbates into the adsorbent's structure.Figure 1f represents the nitrogen adsorption-desorption isotherms and the corresponding pore size distribution of SiO 2 -g-PBMA-b-PDMAEMA.The hybrid material displayed type-IV N 2 sorption isotherms with an H3 hysteresis loop, indicating its disordered mesoporous structure [41].The hybrid material exhibited a lower specific surface area of 79.89 m 2 •g −1 but higher adsorption capacity for metal cations than other reported silica-based hybrid materials [41,42], suggesting that the grafted polymer played an important role in adsorption.The hybrid material also exhibited a pore volume of 0.26 cm 3 •g −1 and an average mesoporous diameter of 36.38 nm, which was conducive to the diffusion of sodium oleate.Figure 1g,h represent the TEM images of SiO 2 and SiO 2 -g-PBMA-b-PDMAEMA.Silica exhibited spherical particles with an average diameter of 20 nm.After the grafting of PBMA-b-PDMAEMA chains, the hybrid formed spherical particles with a significantly increased diameter of 30-35 nm.This additionally proved the successful preparation of SiO 2 -g-PBMA-b-PDMAEMA.The aggregation of the hybrid's particles was reduced compared with pure SiO 2 , and this was because of the grafting of PBMA-b-PDMAEMA chains.The better dispersity in water was favorable to adsorption.

Adsorption Kinetics
Adsorption kinetics curves are shown in Figure In order to investigate the contribution of SiO2 and the grafted polymer to SiO2-g-PBMA-b-PDMAEMA adsorption, the absorption capacity of the pure SiO2 and pure polymer for both pollutants was taken into account.A detailed recipe for pure polymer (EBiB-g-PBMA-b-PDMAEMA) is listed in Table 2, and the preparation of EBiB-g-PBMA-b-PDMAEMA was simply proved by FTIR (Supporting Information, Figure S2).The adsorption capacity of Cu(II) and sodium oleate on pure silica was small (14.33 mg•g −1 for Cu(II) and 7.85 mg•g −1 for sodium oleate), while the adsorption capacity of Cu(II) and sodium oleate on pure polymer (88.48 mg•g −1 for Cu(II) and 65.67 mg•g −1 for sodium oleate) was close to that of SiO2-g-PBMA-b-PDMAEMA (91.02 mg•g −1 for Cu(II) and 72.47 mg•g −1 for sodium oleate).This indicated to us that the grafting of polymer effectively improved the adsorption capacity of the hybrid material.

Adsorption Kinetics
Adsorption kinetics curves are shown in Figure 2. In order to investigate the contribution of SiO 2 and the grafted polymer to SiO 2 -g-PBMA-b-PDMAEMA adsorption, the absorption capacity of the pure SiO 2 and pure polymer for both pollutants was taken into account.A detailed recipe for pure polymer (EBiB-g-PBMA-b-PDMAEMA) is listed in Table 2, and the preparation of EBiB-g-PBMA-b-PDMAEMA was simply proved by FTIR (Supporting Information, Figure S2).The adsorption capacity of Cu(II) and sodium oleate on pure silica was small (14.33 mg•g −1 for Cu(II) and 7.85 mg•g −1 for sodium oleate), while the adsorption capacity of Cu(II) and sodium oleate on pure polymer (88.48 mg•g −1 for Cu(II) and 65.67 mg•g −1 for sodium oleate) was close to that of SiO 2 -g-PBMA-b-PDMAEMA (91.02 mg•g −1 for Cu(II) and 72.47 mg•g −1 for sodium oleate).This indicated to us that the grafting of polymer effectively improved the adsorption capacity of the hybrid material.

Adsorption Kinetics
Adsorption kinetics curves are shown in Figure 2. In order to investigate the contribution of SiO2 and the grafted polymer to SiO2-g-PBMA-b-PDMAEMA adsorption, the absorption capacity of the pure SiO2 and pure polymer for both pollutants was taken into account.A detailed recipe for pure polymer (EBiB-g-PBMA-b-PDMAEMA) is listed in Table 2, and the preparation of EBiB-g-PBMA-b-PDMAEMA was simply proved by FTIR (Supporting Information, Figure S2).The adsorption capacity of Cu(II) and sodium oleate on pure silica was small (14.33 mg•g −1 for Cu(II) and 7.85 mg•g −1 for sodium oleate), while the adsorption capacity of Cu(II) and sodium oleate on pure polymer (88.48 mg•g −1 for Cu(II) and 65.67 mg•g −1 for sodium oleate) was close to that of SiO2-g-PBMA-b-PDMAEMA (91.02 mg•g −1 for Cu(II) and 72.47 mg•g −1 for sodium oleate).This indicated to us that the grafting of polymer effectively improved the adsorption capacity of the hybrid material.Polymers 2022, 14, 4187 9 of 17 In particular, to investigate the contribution of hydrophobic PBMA to the multifunctional adsorption of SiO 2 -g-PBMA-b-PDMAEMA, adsorption using SiO 2 -g-PDMAEMA (detailed recipe of polymerization in Table 2) was also discussed.The preparation of SiO 2g-PDMAEMA was simply proved by FTIR (Supporting Information, Figure S3). Figure 2a shows the rapid and effective adsorption of Cu(II) by both hybrid adsorbents.The adsorption capacity increased rapidly within 0-30 min and tended to be a constant after 60 min.Therefore, the adsorption equilibrium of Cu(II) on SiO 2 -g-PBMA-b-PDMAEMA was reached within 60 min, providing an experimental parameter for subsequent adsorption isotherms experiments.The equilibrium absorption capacity of Cu(II) on SiO 2 -g-PBMAb-PDMAEMA was 91.02 mg•g −1 , which was slightly lower than the adsorption capacity of Cu(II) on SiO 2 -g-PDMAEMA (92.48 mg•g −1 ), indicating a stronger affinity of hydrophilic PDMAEMA to Cu(II). Figure 2b shows that a small quantity of PBMA could effectively improve the adsorption capacity of SiO 2 -g-PBMA-b-PDMAEMA to sodium oleate (NaOL).The equilibrium capacity of NaOL on SiO 2 -g-PBMA-b-PDMAEMA was 72.47 mg•g −1 , which was much higher than the adsorption capacity of NaOL on SiO 2 -g-PDMAEMA (52.74 mg•g −1 ), indicating a stronger affinity of hydrophobic PBMA to NaOL.The adsorption capacity of NaOL on SiO 2 -g-PBMA-b-PDMAEMA increased rapidly within 0-120 min and tended to be a constant after 180 min.Therefore, the adsorption equilibrium of NaOL on SiO 2 -g-PBMA-b-PDMAEMA was reached within 180 min.
The adsorption kinetics data of Cu(II) and NaOL on SiO 2 -g-PBMA-b-PDMAEMA were fitted to the pseudo-first-order and pseudo-second-order models.The fitting results are shown in Figure 3 and Table 3.The pseudo-second-order model exhibited higher correlation coefficients (R 2 = 0.9966 for Cu(II) and R 2 = 0.9966 for NaOL) and better agreement between experimental adsorption capacity (Q e,exp = 91.02mg•g −1 for Cu(II) and Q e,exp = 72.47mg•g −1 for NaOL) and calculated adsorption capacity (Q e,cal = 96.06mg•g −1 for Cu(II) and Q e,cal = 83.75mg•g −1 for NaOL).The adsorption data fitted to the pseudosecond-order model well, indicating that the adsorption rates of Cu(II) and NaOL onto SiO 2 -g-PBMA-b-PDMAEMA were controlled by chemical processes [43].
Polymers 2022, 14, x FOR PEER REVIEW 10 of 19 In particular, to investigate the contribution of hydrophobic PBMA to the multifunctional adsorption of SiO2-g-PBMA-b-PDMAEMA, adsorption using SiO2-g-PDMAEMA (detailed recipe of polymerization in Table 2) was also discussed.The preparation of SiO2g-PDMAEMA was simply proved by FTIR (Supporting Information, Figure S3). Figure 2a shows the rapid and effective adsorption of Cu(II) by both hybrid adsorbents.The adsorption capacity increased rapidly within 0-30 min and tended to be a constant after 60 min.Therefore, the adsorption equilibrium of Cu(II) on SiO2-g-PBMA-b-PDMAEMA was reached within 60 min, providing an experimental parameter for subsequent adsorption isotherms experiments.The equilibrium absorption capacity of Cu(II) on SiO2-g-PBMA-b-PDMAEMA was 91.02 mg•g −1 , which was slightly lower than the adsorption capacity of Cu(II) on SiO2-g-PDMAEMA (92.48 mg•g −1 ), indicating a stronger affinity of hydrophilic PDMAEMA to Cu(II). Figure 2b shows that a small quantity of PBMA could effectively improve the adsorption capacity of SiO2-g-PBMA-b-PDMAEMA to sodium oleate (NaOL).The equilibrium absorption capacity of NaOL on SiO2-g-PBMA-b-PDMAEMA was 72.47 mg•g −1 , which was much higher than the adsorption capacity of NaOL on SiO2-g-PDMAEMA (52.74 mg•g −1 ), indicating a stronger affinity of hydrophobic PBMA to NaOL.The adsorption capacity of NaOL on SiO2-g-PBMA-b-PDMAEMA increased rapidly within 0-120 min and tended to be a constant after 180 min.Therefore, the adsorption equilibrium of NaOL on SiO2-g-PBMA-b-PDMAEMA was reached within 180 min.
The adsorption kinetics data of Cu(II) and NaOL on SiO2-g-PBMA-b-PDMAEMA were fitted to the pseudo-first-order and pseudo-second-order models.The fitting results are shown in Figure 3 and Table 3.The pseudo-second-order model exhibited higher correlation coefficients (R 2 = 0.9966 for Cu(II) and R 2 = 0.9966 for NaOL) and better agreement between experimental adsorption capacity (Qe,exp = 91.02mg•g −1 for Cu(II) and Qe,exp = 72.47mg•g −1 for NaOL) and calculated adsorption capacity (Qe,cal = 96.06mg•g −1 for Cu(II) and Qe,cal = 83.75mg•g −1 for NaOL).The adsorption data fitted to the pseudo-second-order model well, indicating that the adsorption rates of Cu(II) and NaOL onto SiO2-g-PBMAb-PDMAEMA were controlled by chemical processes [43].

Adsorption Isotherms
Adsorption isotherm results of Cu(II) on SiO 2 -g-PBMA-b-PDMAEMA are shown in Figure 4 and Table 4.The Q e of Cu(II) increased with an increase in equilibrium concentration and then tended to be a constant.The Langmuir adsorption isotherm model exhibited a higher correlation coefficient (R 2 = 0.9978), indicating that Cu(II) was mainly adsorbed by the monolayer.The maximum adsorption capacity of Cu(II) reached 448.43 mg•g −1 .The Freundlich adsorption isotherm model exhibited an n value of 2.15; an n value between 2 and 10 indicated that the adsorption of Cu(II) easily occurred at 25 °C [44]. ) h (Cu(Ⅱ))

Systems Langmuir
Freundlich Adsorption isotherms results of NaOL on SiO 2 -g-PBMA-b-PDMAEMA are shown in Figure 5 and Table 4.Under low initial concentration (C 0 ≤ 100 mg•L −1 ) conditions, the Q e of NaOL increased with an increase in equilibrium concentration.The Freundlich adsorption isotherm model exhibited a higher correlation coefficient (R 2 = 0.9994), indicating the multilayered adsorption of NaOL on a heterogeneous surface.The n value was 1.48 (n > 1), indicating that the adsorption of NaOL on SiO 2 -g-PBMA-b-PDMAEMA was a beneficial adsorption process [45].The maximum adsorption capacity of NaOL calculated from the Langmuir adsorption isotherm equation reached 129.03 mg•g −1 .

Adsorption Mechanism
FTIR was used to investigate the possible adsorption mechanism (Figure 6).Compared with SiO2-g-PBMA-b-PDMAEMA, the peak of C=O vibration around 1720 cm −1 in the complex of SiO2-g-PBMA-b-PDMAEMA with Cu(II) was significantly weak-

Adsorption Mechanism
FTIR was used to investigate the possible adsorption mechanism (Figure 6).Compared with SiO 2 -g-PBMA-b-PDMAEMA, the peak of C=O vibration around 1720 cm −1 in the complex of SiO 2 -g-PBMA-b-PDMAEMA with Cu(II) was significantly weakened, indicating that the oxygen atoms of carbonyl participated in the complexation with Cu(II).The new peak in 625 cm −1 was attributed to Cu-O vibration [46].Combining the results of the pseudo-second-order fitting results (chemical process was the rate-determining step) and Langmuir adsorption isotherm results (monolayer absorption), the proposed mechanisms for Cu(II) adsorption extend to metal cation (M) adsorption, shown in Figure 7. Chelation and complexation were the main driving forces of adsorption.For the FTIR spectrum of SiO 2 -g-PBMA-b-PDMAEMA with NaOL, the peak of C=O vibration around 1720 cm −1 was also significantly weakened, indicating that the oxygen atoms of carbonyl participated in the adsorption with NaOL.The new peak of H-O vibration around 3440 cm −1 was attributed to the adsorption of oleic acid.This was because at a pH level of 5, a part of sodium oleate was in the form of oleic acid [11,15].The new peak around 1639 cm −1 was attributed to -COO -vibration.Combining the results of the pseudo-second-order fitting results and Freundlich adsorption isotherm results (multilayer adsorption), the proposed mechanisms for NaOL adsorption are shown in Figure 8.The van der Waals force was, of course, a very important driving force for NaOL adsorption.In addition, weak hydrogen bonding [47,48] was a driving force that was easily overlooked.The hydrogen atom attached to the carbon atom had the ability to form weak hydrogen bonds with oxygen and nitrogen atoms, and the weak hydrogen bonds further increased the adsorption capacity of sodium oleate on SiO 2 -g-PBMA-b-PDMAEMA.

Practicability Assessment
Adsorption-desorption cycles (Figure 9) were conducted to evaluate bility of SiO2-g-PBMA-b-PDMAEMA.After three cycles, the adsorption Cu(II) was 80.56 mg•g −1 , which was 88.58% of the initial adsorption capacit adsorption, the adsorption capacity was 68.59 mg•g −1 after three cycles

Practicability Assessment
Adsorption-desorption cycles (Figure 9) were conducted to ev bility of SiO2-g-PBMA-b-PDMAEMA.After three cycles, the adso Cu(II) was 80.56 mg•g −1 , which was 88.58% of the initial adsorption ca adsorption, the adsorption capacity was 68.59 mg•g −1 after three

Practicability Assessment
Adsorption-desorption cycles (Figure 9) were conducted to evaluate the recyclability of SiO 2 -g-PBMA-b-PDMAEMA.After three cycles, the adsorption capacity of Cu(II) was 80.56 mg•g −1 , which was 88.58% of the initial adsorption capacity.For NaOL adsorption, the adsorption capacity was 68.59 mg•g −1 after three cycles, which was 94.67% of the initial adsorption capacity.These results indicated that the adsorbent was recyclable and of green economic value.
Multicomponent adsorption (Figure 10) was also carried out to investigate the practicability of the adsorbent.The adsorbent showed excellent adsorption capacity for Cu(II) and sodium oleate in the mixed solution.When the initial concentrations of Cu(II) and sodium oleate were both 20 mg•L −1 , the removal efficiency of Cu(II) reached 98.60% and the removal efficiency of sodium oleate reached 91.70% simultaneously.When the initial concentrations of Cu(II) and sodium oleate were both 100 mg•L −1 , the removal efficiency of Cu(II) reached 93.88% and the removal efficiency of sodium oleate reached 85.27% simultaneously.The better adsorption of the multicomponent system might be due to the formation of copper oleate, and this did not affect the removal efficiency and practical value of SiO 2 -g-PBMA-b-PDMAEMA.
2022, 14, x FOR PEER REVIEW 94.67% of the initial adsorption capacity.These results indi recyclable and of green economic value.Multicomponent adsorption (Figure 10) was also carried out t ticability of the adsorbent.The adsorbent showed excellent adsorpt and sodium oleate in the mixed solution.When the initial concen sodium oleate were both 20 mg•L −1 , the removal efficiency of Cu(II the removal efficiency of sodium oleate reached 91.70% simultaneo concentrations of Cu(II) and sodium oleate were both 100 mg•L −1 , t of Cu(II) reached 93.88% and the removal efficiency of sodium oleat ultaneously.The better adsorption of the multicomponent system formation of copper oleate, and this did not affect the removal ef value of SiO2-g-PBMA-b-PDMAEMA.

Conclusions
In this work, a silica-based amphiphilic block copolymer, SiO 2 -g-PBMA-b-PDMAEMA, was obtained via SI-ATRP methodology.The hybrid gained excellent adsorption capacity for Cu(II) and sodium oleate, and broadened the application of organic-inorganic hybrids in beneficiation wastewater treatment.All the results can be summarized as follows: (1) SiO 2 -g-PBMA-b-PDMAEMA was prepared as expected.FTIR and 1 H NMR directly proved the chemical structure of SiO 2 -g-PBMA-b-PDMAEMA.TGA illustrated that the grafting percentage of PBMA-b-PDMAEMA was 83.55% and the content of SiO 2 was 10.17%.GPC demonstrated a desired molecular weight of 18,541 g•mol −1 .TEM also proved the grafting of PBMA-b-PDMAEMA chains.XRD was used to confirm an amorphous structure.Nitrogen adsorption-desorption isotherms exhibited a specific surface area of 79.89 m 2 •g −1 , a pore volume of 0.26 cm 3 •g −1 and an average mesoporous diameter of 36.38 nm; (2) The effect of hydrophobic chains was investigated.Compared with SiO 2 -g-PDMAEMA, the introduction of a small amount of PBMA did not noticeably affect the adsorption of Cu(II) on SiO 2 -g-PBMA-b-PDMAEMA, but could greatly increase the adsorption of sodium oleate on SiO 2 -g-PBMA-b-PDMAEMA (72.47 mg•g −1 with a removal efficiency of 72.47%), which was 1.374 times that of sodium oleate on SiO 2 -g-PDMAEMA (52.74 mg•g was recyclable with a 88.58% adsorption capacity for Cu(II) and a 94.67% adsorption capacity for sodium oleate after three cycles, and the adsorbent showed excellent multicomponent adsorption for Cu(II) and sodium oleate in the mixed solution.
Further research will be conducted on simultaneous adsorption of various pollutants.
−1 ); (3) Adsorption kinetics showed that the adsorption of Cu(II) and sodium oleate on SiO 2 -g-PBMA-b-PDMAEMA fitted the pseudo-second-order model well, indicating that the adsorption rates were controlled by the chemical process; (4) Adsorption isotherms of Cu(II) on SiO 2 -g-PBMA-b-PDMAEMA were better described by the Langmuir adsorption isotherm model, indicating that Cu(II) was mainly adsorbed by the monolayer.Adsorption isotherms of sodium oleate on SiO 2 -g-PBMA-b-PDMAEMA were better described by the Freundlich adsorption isotherm model, indicating the multilayered adsorption of sodium oleate on a heterogeneous surface.The maximum adsorption capacity of Cu(II) and sodium oleate calculated by the Langmuir adsorption isotherm equation reached 448.43 mg•g −1 and 129.03 mg•g −1 , respectively; (5) The adsorption mechanism was investigated.Combining FTIR, adsorption kinetics and adsorption isotherm analysis, chelation and complexation were considered as the main driving forces of Cu(II) adsorption on SiO 2 -g-PBMA-b-PDMAEMA.The van der Waals force as well as weak hydrogen bonding were considered as the main driving forces of sodium oleate adsorption on SiO 2 -g-PBMA-b-PDMAEMA; (6) The practical value of the adsorbent was evaluated.SiO 2 -g-PBMA-b-PDMAEMA

Table 1 .
Materials and the corresponding purification methods.

Table 2 .
Detailed recipes of polymerization for prepared samples.

Table 5 .
Comparison of Adsorption Capacity.
Supplementary Materials:The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/polym14194187/s1,FigureS1:Standardcurve of sodium oleate.Figure S2: FTIR spectrum of EBiB-g-PBMA-b-PDMAEMA.Figure S3: FTIR spectrum of SiO 2 -g-PDMAEMA.Conceptualization, J.Q.; methodology, L.C. and W.G.; formal analysis, L.C., M.L. (Meilan Li) and Q.Y.; writing-original draft preparation, J.Q.; writing-review and editing, J.Q.; supervision, M.L. (Mingbao Liu) and B.C.All authors have read and agreed to the published version of the manuscript.This research was funded by the Promotion and Application of Foamed Concrete Preparation based on Vanadium Tailings, grant number 21HKY154; the National Natural Science Foundation of China, grant number 21973058; Basic Research Program of Natural Science of Shaanxi Province, grant number 2021JQ-839, the Special Scientific Research Plan Project of Shaanxi Provincial Department of Education, grant number 19JK0252; and the Science and Technology Plan Project of Shangluo, grant number SK2019-81.
Funding:Institutional Review Board Statement: Not applicable.Informed Consent Statement: Not applicable.