Removal of Cd(II) from Water by HPEI Modified Humin

Humin is the waste residue from the process of preparing humic acid, which accounts for a large proportion of the raw material (weathered coal humic acid). Its Cd(II) adsorption performance is far inferior to that of humic acid. How to regenerate humin is of great significance to the low-cost treatment of Cd(II) pollution in wastewater. In this study, humin was modified by hyperbranched polyethyleneimine to enhance the adsorption capacity for Cd(II). Fourier transform infrared spectroscopy and the X-ray photoelectron spectrometer showed that hyperbranched polyethyleneimine was grafted to the surface of humin. Flame atomic absorption spectroscopy showed that the saturated Cd(II) adsorption capacity of the modified humin was increased to 11.975 mg/g, which is about 5 times than that of humin and is also higher than that of humic acid. The adsorption kinetics, adsorption isotherm, and thermodynamic properties of humic acid, humin, and modified humin were also studied. This study may provide a foundation for research utilizing natural resources to reduce heavy metal pollution in the environment.


Introduction
The development of various industries such as metallurgy, mining, and dyes has led to the increasing heavy metal contamination of the environment. Cadmium is one of the indispensable raw materials in the chemical industry; for example, it is widely used in dyes, batteries, and alloys, which leads to the entry of cadmium into the global biosphere [1,2]. The different valences of cadmium are toxic and harmful to humans and animals. Normally, cadmium flows into the human body from the circulatory system of the food chain and is then accumulated, causing serious damage to the kidneys and liver tissues. Current commonly used cadmium-containing wastewater treatments are ion exchange, membrane separation, and the adsorption method, and some involve biological treatment and the electrolysis method. Among these methods, the adsorption method is widely used due to its advantages of low cost, high efficiency [3], and easy operation [4,5].
Humic substances (HS) are of various types and often distributed in weathered coal, lignite, and peat [6,7]. HS basically have the ability to resist degradation; they can not only chemically react with heavy metal ions but also combine with clay minerals and can improve the soil and stimulate crop growth, which suggests the advantages of HS in protecting the environment. Accordingly, they are used to improve the situation of heavy metal pollution [8]. HS are usually composed of humic acid (HA), fulvic acid (FA), and humin (HM). Owning to the different solubility of components in different pH aqueous solutions, they can be divided into HA, which is soluble only in alkali and insoluble in acid; FA, which is soluble in both acid and alkali; and HM, which is insoluble in acid and alkali [9,10]. The characteristics of solubility make it easy to obtain HM and HA from HS. As a result of recent research, HA is widely used in the water environment [11]. Ping-I Chou et al. (2018) simulated the effect of HA on the release of Pd(II), Cu(II), and Zn(II) in a field and found that the presence of HA has a good inhibitory effect on the release of these heavy metal ions [12]. Although the structure of HS is still debated, it is generally believed that both HM and HA have phenolic hydroxyl and carboxyl groups. They are prone to coordination reactions with heavy metals during purification, but HA has more active groups, which improves the adsorption effect [10]. Jinjing Zhang et al. (2013) found that HA can remove heavy metals Cu(II) under laboratory conditions; the maximum adsorption capacities for HA were 263.2 mg/g, higher than that of HM (111.1 mg/g) [13]. On the other hand, HM accounts for more than 50% of the total amount of HS, and if HM were discarded without any treatment, it would be a huge waste. Therefore, how to turn HM into a high-performance adsorption material is the key to making full use of the environmental protection and low-cost characteristics of biomass adsorption materials compared with adsorption materials such as diatomite and activated carbon.
Hyperbranched polyethyleneimine (HPEI) has a quasi-spherical structure with a large number of amino functional groups in its molecular structure, including primary, secondary, and tertiary amine groups, and is a cationic polyelectrolyte [14]. HPEI is a good adsorbent material because the amine groups on HPEI can chelate strongly with heavy metal ions [15,16]. However, HPEI is free in aqueous solution, and it is difficult to separate and recover when it is directly used for adsorption. Therefore, it hoped that the introduction of HPEI to modify HM will enhance the adsorption performance. Based on HPEI's characteristics of high activity and easy modification [17], it is feasible to fix HPEI on a HM matrix material with poor adsorption performance and to synthesize a more effective adsorbent material [16,17], and it is expected that the modified HM can be treated with eluent to achieve the purpose of regeneration.
The content of this paper includes (1) a comparison of the adsorption properties of HA, HM, and HM modified with HPEI and (2) Fourier transform infrared spectroscopy and X-ray photoelectron spectrometer results outlining the adsorption mechanism of the three materials.

Preparation of Adsorption Materials
Alkaline acid leaching is considered to be the most commonly used and easiest method to extract HA from soil or other sediments [8]. The extraction process is simply described as follows: a certain quality of weathered coal HS were added into a conical flask, and then 0.1 M NaOH was added at a mass ratio of m(HS):m (0.1 M NaOH) = 1:10. The conical flask was shaken on a shaker for 6 h, then left to stand for separation. The supernatant and residue were collected separately. The residue was dissolved in NaOH solution, and the process was repeated 20 times to completely remove the HA and FA in the residue. Then, the residue was deashed using 10% HF-HCl solution. Deionized water was used to wash the residue until no Cl − was found (In order to keep the pH unchanged). Then, the residue was centrifuged at 6000 RPM for 20 min, and the supernatant was poured out and dried in an oven at 35 • C for 24 h to obtain HM. Next, the pH value of the supernatant was adjusted to 1; the pH value was measured many times by a calibrated pH meter (PHS-3C). HCl solution (6 M) was added to precipitate the solution, and then the mixture was centrifuged at 6000 RPM for 20 min. The insoluble HM was washed repeatedly with deionized water until the supernatant was neutral, and then dried in an oven at 35 • C for 24 h to obtain HA.
Modified HM was prepared using HPEI and HM at a mass ratio of 3:1, using a magnetic stirrer at 60 • C for 2, 4, 6, and 8 h for four different samples. Samples were obtained after repeated washing and drying at 60 • C and named as 2-HM, 4-HM, 6-HM, and 8-HM. The four HPEI-modified HM, HA, and HM samples were used for the adsorption of Cd(II). A schematic illustration of the modified process and the adsorption of Cd(II) by HPEI-HM is shown in Figure 1. and HM samples were used for the adsorption of Cd(II). A schematic illustration of the modified process and the adsorption of Cd(II) by HPEI-HM is shown in Figure 1.

Characterizations
Fourier transform infrared spectroscopy (FT-IR, TENSOR 27, resolution 4 cm −1 , Bruker, Billerica, MA, USA) was used to analyze the functional groups and bonding conditions on the surface of the adsorption material using KBr tablets. An X-ray photoelectron spectrometer (K-ALPHA, Thermo Fisher, Waltham, MA, USA) was used to analyze the surface element composition and valence state of the surface. A flame atomic absorption spectrophotometer (FLAAS) (AA900T, PerkinElmer, Waltham, MA, USA) was used to detect the concentration of Cd(II).

Adsorption Experiments
A total of 0.02 g adsorption material (HA, HM, modified HM) was added into a 50 mL centrifuge tube, then a 25 mL Cd(II) solution of different initial concentration (20 mg/L, 0.01 M NaNO3 as background solution) for kinetic study was added. The pH was adjusted to 5 with 0.1 M HCl solution. The mixture was oscillated in the shaker at room temperature for different lengths of time for isotherm and thermodynamic study. For thermodynamic study, the temperature was set from 288.15 to 318.15 K. Then the solution was obtained after 6000 RPM centrifugation and filtration using a vacuum filter bottle (with a membrane size of 0.45 µm). Finally, the Cd(II) content of the solution was determined by the FLAAS. Before that, the standard concentration of Cd(II) was measured to obtain the standard curve.

Characterizations
Fourier transform infrared spectroscopy (FT-IR, TENSOR 27, resolution 4 cm −1 , Bruker, Billerica, MA, USA) was used to analyze the functional groups and bonding conditions on the surface of the adsorption material using KBr tablets. An X-ray photoelectron spectrometer (K-ALPHA, Thermo Fisher, Waltham, MA, USA) was used to analyze the surface element composition and valence state of the surface. A flame atomic absorption spectrophotometer (FLAAS) (AA900T, PerkinElmer, Waltham, MA, USA) was used to detect the concentration of Cd(II).

Adsorption Experiments
A total of 0.02 g adsorption material (HA, HM, modified HM) was added into a 50 mL centrifuge tube, then a 25 mL Cd(II) solution of different initial concentration (20 mg/L, 0.01 M NaNO 3 as background solution) for kinetic study was added. The pH was adjusted to 5 with 0.1 M HCl solution. The mixture was oscillated in the shaker at room temperature for different lengths of time for isotherm and thermodynamic study. For thermodynamic study, the temperature was set from 288.15 to 318.15 K. Then the solution was obtained after 6000 RPM centrifugation and filtration using a vacuum filter bottle (with a membrane size of 0.45 µm). Finally, the Cd(II) content of the solution was determined by the FLAAS. Before that, the standard concentration of Cd(II) was measured to obtain the standard curve.

Adsorption Performance
It can be seen from Figure 2 that as the concentration of Cd(II) (C e,0 ) in the solution increases, the adsorption capacity (Q e ) of different adsorbent materials also gradually increases. In general, the modified HM has the strongest adsorption capacity, followed by HA, while HM has the weakest. With the increase of the modification time, the adsorption capacity of modified HM for Cd(II) increases first and then decreases. At a certain concentration, the 6-HM has the highest adsorption capacity and the best adsorption effect, indicating that it is feasible to use HPEI as a modified material. Subsequently, we chose 6-HM to compare with HA and HM for further experimental research and to clarify its adsorption mechanism.

Adsorption Performance
It can be seen from Figure 2 that as the concentration of Cd(II) (Ce,0) in the solution increases, the adsorption capacity (Qe) of different adsorbent materials also gradually increases. In general, the modified HM has the strongest adsorption capacity, followed by HA, while HM has the weakest. With the increase of the modification time, the adsorption capacity of modified HM for Cd(II) increases first and then decreases. At a certain concentration, the 6-HM has the highest adsorption capacity and the best adsorption effect, indicating that it is feasible to use HPEI as a modified material. Subsequently, we chose 6-HM to compare with HA and HM for further experimental research and to clarify its adsorption mechanism.

Adsorbent Characterization
FT-IR characterization is one of the means to obtain molecular chemical bonds or functional groups. Figure 3 shows that the surface functional groups of the three adsorbents and HPEI are abundant, and the FT-IR spectra of these three adsorbent materials are very close. The biggest difference between HM and HA is that the peak intensity at 1100-1022 cm −1 is significantly enhanced, which is attributed to the stretching vibration peak of the ether group [18], and the peak at 783 cm −1 originates from the out-of-plane bending vibration of C-H [19]. The changes in the intensity of these peaks are also in line with the difference between the corresponding active groups of HM and HA, which also reflects the lowest adsorption performance of HM in Figure 2. After modification, it can be seen that the C=O peak at 1702 cm −1 disappears, and a new peak is generated at 1460 cm −1 . This peak also exists in the HPEI curve, which is derived from the in-plane bending vibration of C-H in the HPEI structure [20]; this indicates that the disappearance of C=O is because the amine groups from the HPEI are reacted with the C=O of HM, and HPEI is successfully grafted on the surface of HM.

Adsorbent Characterization
FT-IR characterization is one of the means to obtain molecular chemical bonds or functional groups. Figure 3 shows that the surface functional groups of the three adsorbents and HPEI are abundant, and the FT-IR spectra of these three adsorbent materials are very close. The biggest difference between HM and HA is that the peak intensity at 1100-1022 cm −1 is significantly enhanced, which is attributed to the stretching vibration peak of the ether group [18], and the peak at 783 cm −1 originates from the out-of-plane bending vibration of C-H [19]. The changes in the intensity of these peaks are also in line with the difference between the corresponding active groups of HM and HA, which also reflects the lowest adsorption performance of HM in Figure 2. After modification, it can be seen that the C=O peak at 1702 cm −1 disappears, and a new peak is generated at 1460 cm −1 . This peak also exists in the HPEI curve, which is derived from the in-plane bending vibration of C-H in the HPEI structure [20]; this indicates that the disappearance of C=O is because the amine groups from the HPEI are reacted with the C=O of HM, and HPEI is successfully grafted on the surface of HM.
The surface element composition of HM before and after modification was characterized using XPS analysis. The adsorption mechanism of HM and 6-HM for Cd(II) was explored as well. As shown in Figure 4, the C1s spectrum of HM is composed of four fitting peaks, namely C=O, C-O, C=C, and C-C. The combined energies are 289.17, 286.05, 285.13, and 284.03 eV, respectively. For HM adsorbed with Cd(II), the C1s spectrum is also composed of four fitting peaks, C-O, C=O, C=C, and C-C. The combined energy centers are 289.21, 286.15, 285.45, and 284.04 eV, respectively. After adsorbing Cd(II), the content of C=O decreased from 19% to 12.5%, indicating that chemical adsorption existed and some carboxyl groups on the HM surface participated in the adsorption process. The surface element composition of HM before and after modification was characterized using XPS analysis. The adsorption mechanism of HM and 6-HM for Cd(II) was explored as well. As shown in Figure   The C1s spectra of 6-HM before and after adsorption are shown in Figure 5. Compared with HM, the peak of C=O disappears after HPEI modification. This change is mainly owing to the reaction of the carboxyl group on the surface of HM with the amine group on HPEI. The surface element composition of HM before and after modification was characterized using XPS analysis. The adsorption mechanism of HM and 6-HM for Cd(II) was explored as well. As shown in Figure   The C1s spectra of 6-HM before and after adsorption are shown in Figure 5. Compared with HM, the peak of C=O disappears after HPEI modification. This change is mainly owing to the reaction of the carboxyl group on the surface of HM with the amine group on HPEI. The C1s spectra of 6-HM before and after adsorption are shown in Figure 5. Compared with HM, the peak of C=O disappears after HPEI modification. This change is mainly owing to the reaction of the carboxyl group on the surface of HM with the amine group on HPEI.
The N1s spectra of 6-HM before and after adsorbing Cd(II) ions are shown in Figure 6. The N1s spectra is composed of three fitting peaks, specifically N-O, N-C, and N-H, the binding energies of which are centered at 404.21, 400.01, and 398.02 eV, respectively. By comparing the changes of the binding energy of each element peak of 6-HM before and after adsorbing Cd(II), it can be seen that the N-C peak and the N-H peak are all offset. The newly added N-O bond indicates that the N element is involved in the adsorption process. After adsorption of Cd(II), the binding energy is increased. This shows that N has an obvious tendency for electron donors or shared electron pairs. The N atom has five electrons in its outer shell, three of which are combined to form a bond; the remaining lone pair is less likely to be lost but is more likely to provide the lone pair to form a complex. In the adsorption process, the N atom shares electrons with Cd, leading to a decrease in electron density and an increase in binding energy. The N1s spectra of 6-HM before and after adsorbing Cd(II) ions are shown in Figure 6. The N1s spectra is composed of three fitting peaks, specifically N-O, N-C, and N-H, the binding energies of which are centered at 404.21, 400.01, and 398.02 eV, respectively. By comparing the changes of the binding energy of each element peak of 6-HM before and after adsorbing Cd(II), it can be seen that the N-C peak and the N-H peak are all offset. The newly added N-O bond indicates that the N element is involved in the adsorption process. After adsorption of Cd(II), the binding energy is increased. This shows that N has an obvious tendency for electron donors or shared electron pairs. The N atom has five electrons in its outer shell, three of which are combined to form a bond; the remaining lone pair is less likely to be lost but is more likely to provide the lone pair to form a complex. In the adsorption process, the N atom shares electrons with Cd, leading to a decrease in electron density and an increase in binding energy.

Adsorption Kinetics
By investigating the contact time of HA, HM, and 6-HM with Cd(II), the influence on the adsorption capacity of Cd(II) can be seen, as shown in Figure 7. The adsorption kinetics curves for the Cd(II) on the different adsorbents are roughly the same. The first 60 min involves fast adsorption, and 150 min later the adsorption equilibrium is reached. This is because in the early stage of adsorption, there are many adsorption sites on the surface of the adsorption material, and adsorption occurs rapidly. When the adsorption reaches a certain amount, the surface adsorption sites of the adsorbent decreased, which results in the decrease of the adsorption rate. During this time, the adsorption capacity and adsorption rate of 6-HM are the highest, while those of HM are the lowest. This indicates that the adsorption capacity of HM to Cd(II) is greatly enhanced by HPEI modification.  The N1s spectra of 6-HM before and after adsorbing Cd(II) ions are shown in Figure 6. The N1s spectra is composed of three fitting peaks, specifically N-O, N-C, and N-H, the binding energies of which are centered at 404.21, 400.01, and 398.02 eV, respectively. By comparing the changes of the binding energy of each element peak of 6-HM before and after adsorbing Cd(II), it can be seen that the N-C peak and the N-H peak are all offset. The newly added N-O bond indicates that the N element is involved in the adsorption process. After adsorption of Cd(II), the binding energy is increased. This shows that N has an obvious tendency for electron donors or shared electron pairs. The N atom has five electrons in its outer shell, three of which are combined to form a bond; the remaining lone pair is less likely to be lost but is more likely to provide the lone pair to form a complex. In the adsorption process, the N atom shares electrons with Cd, leading to a decrease in electron density and an increase in binding energy.

Adsorption Kinetics
By investigating the contact time of HA, HM, and 6-HM with Cd(II), the influence on the adsorption capacity of Cd(II) can be seen, as shown in Figure 7. The adsorption kinetics curves for the Cd(II) on the different adsorbents are roughly the same. The first 60 min involves fast adsorption, and 150 min later the adsorption equilibrium is reached. This is because in the early stage of adsorption, there are many adsorption sites on the surface of the adsorption material, and adsorption occurs rapidly. When the adsorption reaches a certain amount, the surface adsorption sites of the adsorbent decreased, which results in the decrease of the adsorption rate. During this time, the adsorption capacity and adsorption rate of 6-HM are the highest, while those of HM are the lowest. This indicates that the adsorption capacity of HM to Cd(II) is greatly enhanced by HPEI modification.

Adsorption Kinetics
By investigating the contact time of HA, HM, and 6-HM with Cd(II), the influence on the adsorption capacity of Cd(II) can be seen, as shown in Figure 7. The adsorption kinetics curves for the Cd(II) on the different adsorbents are roughly the same. The first 60 min involves fast adsorption, and 150 min later the adsorption equilibrium is reached. This is because in the early stage of adsorption, there are many adsorption sites on the surface of the adsorption material, and adsorption occurs rapidly. When the adsorption reaches a certain amount, the surface adsorption sites of the adsorbent decreased, which results in the decrease of the adsorption rate. During this time, the adsorption capacity and adsorption rate of 6-HM are the highest, while those of HM are the lowest. This indicates that the adsorption capacity of HM to Cd(II) is greatly enhanced by HPEI modification.
The adsorption results were fitted using pseudo-first-order and pseudo-second-order kinetic equations. The kinetic parameters are listed in Table 1. It can be seen that the correlation coefficients of the three pseudo-second-order kinetic equations are both close to 1, indicating that the adsorptions of HA, HM, and 6-HM conform to the quasi-second-order kinetic equation and are mainly dominated by chemical adsorption [21]. The adsorption results were fitted using pseudo-first-order and pseudo-second-order kinetic equations. The kinetic parameters are listed in Table 1. It can be seen that the correlation coefficients of the three pseudo-second-order kinetic equations are both close to 1, indicating that the adsorptions of HA, HM, and 6-HM conform to the quasi-second-order kinetic equation and are mainly dominated by chemical adsorption [21]. Table 1. The parameters of adsorption kinetic model obtained by fitting the adsorption results of HA, HM, and 6-HM.

Adsorption Isotherm
The adsorption capacity of three materials to Cd(II) was fitted by the Langmuir isotherm adsorption model and Freundlich isotherm adsorption model. The results are shown in Figure 8, and the relevant parameters of the fitting are shown in Table 2. It can be seen from Figure 8 that the equilibrium adsorption amount of the three materials increases with the increase of Cd(II) concentration (Ce). This is because the high concentration of Cd(II) provides a greater mass transfer driving force, making it easier for Cd(II) to enter the interior of the adsorption material. There are more adsorption sites inside the adsorbent, which leads to the increase of the adsorption capacity.   Samples q e,exp /(mg/g)

Adsorption Isotherm
The adsorption capacity of three materials to Cd(II) was fitted by the Langmuir isotherm adsorption model and Freundlich isotherm adsorption model. The results are shown in Figure 8, and the relevant parameters of the fitting are shown in Table 2. It can be seen from Figure 8 that the equilibrium adsorption amount of the three materials increases with the increase of Cd(II) concentration (C e ). This is because the high concentration of Cd(II) provides a greater mass transfer driving force, making it easier for Cd(II) to enter the interior of the adsorption material. There are more adsorption sites inside the adsorbent, which leads to the increase of the adsorption capacity. According to the fitting parameters of adsorption isotherms in Table 2, the adsorption process of Cd(II) by HM and 6-HM conforms to the Freundlich model. This indicates that the adsorption of Cd(II) by the active sites on the surface is heterogeneous and multi-layered through chemical adsorption and physical adsorption caused by Coulomb synergy [22]. The saturated adsorption  According to the fitting parameters of adsorption isotherms in Table 2, the adsorption process of Cd(II) by HM and 6-HM conforms to the Freundlich model. This indicates that the adsorption of Cd(II) by the active sites on the surface is heterogeneous and multi-layered through chemical adsorption and physical adsorption caused by Coulomb synergy [22]. The saturated adsorption amounts of 6-HM and HM in this experiment were 11.975 and 2.290 mg/g, respectively. The Langmuir theoretical model of HA adsorption of Cd(II) could better fit the experimental data. According to the Langmuir model, it is suggested that the adsorption characteristic of HA to Cd(II) is single-molecule adsorption [23], and the saturated adsorption amount is 8.090 mg/g. The saturated adsorption capacity of 6-HM is about 5 times than that of HM and is also higher than that of HA. This indicates that the modification of HM with HPEI to enhance the adsorption performance to Cd(II) was successful.

Thermodynamic Properties
Temperature is an important indicator to reflect the reaction efficiency [24]. To explore the influence of temperature on the adsorption of HA, HM, and 6-HM to Cd(II), the adsorption experiment was performed at 288.15, 298.15, 308.15, and 318.15 K. The magnitude of Gibbs free energy changes (∆G) reflects whether the chemical reaction can proceed spontaneously and can be calculated by the following two Equations (1) and (2): where ∆H refers to the energy absorbed or released during the adsorption process. When ∆H > 0, the adsorption process is endothermic; when ∆H < 0, the adsorption process is exothermic. ∆S is the change in entropy before and after the reaction. Equation (3) can be obtained by transforming Equations (1) and (2) and then into solving the solid-liquid partition coefficient k d at different temperatures, and different thermodynamic parameters can be solved. To solve k d , Q e can be fitted as the abscissa and ln (Q e /C e ) as the ordinate for fitting. The intercept of the fitted curve is k d , and the corresponding fitting curve is shown in Figure 9. The thermodynamic properties obtained by fitting the experimental data are shown in Table 3. From Table 3, it can be seen that the enthalpy changes of all three adsorption materials are greater than zero. This indicates that the adsorption to Cd(II) is endothermic, so increasing temperature is beneficial to the adsorption reaction. When the temperature rises, the diffusion rate of Cd(II) on the surface of adsorbent becomes fast, which enhances the movement of ions. The fitting results of adsorption ∆S are greater than zero. This shows that the adsorption of Cd(II) on the three materials is a process of entropy increase. ∆G is less than 0 at the temperatures of 288.15, 298.15, 308.15, and 318.15 K, indicating that the reactions are spontaneous adsorption processes. The greater the absolute value of ∆G, the more likely the adsorption reaction is to occur. This result once again shows that the higher the temperature, the easier it is for the adsorption to occur. ∆G changes with the change of temperature because the activity of functional groups on the surface of the adsorbent is different at different temperatures, and temperature affects the boundary layer thickness around the adsorbent.
Sustainability 2020, 12, x FOR PEER REVIEW 9 of 11 the abscissa and ln (Qe/Ce) as the ordinate for fitting. The intercept of the fitted curve is kd, and the corresponding fitting curve is shown in Figure 9. The thermodynamic properties obtained by fitting the experimental data are shown in Table 3. From Table 3, it can be seen that the enthalpy changes of all three adsorption materials are greater than zero. This indicates that the adsorption to Cd(II) is endothermic, so increasing temperature is beneficial to the adsorption reaction. When the temperature rises, the diffusion rate of Cd(II) on the surface of adsorbent becomes fast, which enhances the movement of ions. The fitting results of adsorption ΔS are greater than zero. This shows that the adsorption of Cd(II) on the three materials is a process of entropy increase. ΔG is less than 0 at the temperatures of 288.15, 298.15, 308.15, and 318.15 K, indicating that the reactions are spontaneous adsorption processes. The greater the absolute value of ΔG, the more likely the adsorption reaction is to occur. This result once again shows that the higher the temperature, the easier it is for the adsorption to occur. ΔG changes with the change of temperature because the activity of functional groups on the surface of the adsorbent is different at different temperatures, and temperature affects the boundary layer thickness around the adsorbent.

Conclusions
HM and HA were obtained from HS by the alkaline acid leaching method. HM was modified using HPEI. The results of FT-IR and XPS show that HPEI was successfully grafted to the surface of HM. The XPS-N1s spectra of 6-HM adsorption before and after Cd(II) ion adsorption show that the adsorption of Cd(II) on modified HM is mainly owning to the strong binding energy of the N atom of N-O bond to Cd(II). The experimental results show that the saturated adsorption capacity of 6-HM reaches 11.975 mg/g, which is about 5 times of the saturated adsorption amount of HM and is higher than the saturated adsorption capacity of HA. This indicates that the adsorption capacity of HM to Cd(II) is greatly enhanced by HPEI modification. The results of kinetic equation fitting show that the quasi-second-order kinetic model is more suitable for the adsorption of Cd(II) in the three materials. The adsorption of HM and 6-HM to Cd(II) is consistent with the Langmuir model, and the adsorption of Cd(II) in HA is in accordance with the Freundlich model. The results of thermodynamic properties show that the adsorption of the three adsorbents to Cd(II) is endothermic. This adsorption reaction was a spontaneous adsorption process, and increasing the temperature is helpful to the adsorption. Overall, this study may help to significantly improve the utilization of natural resources and reduce heavy metal pollution in the environment.