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Article

Adsorption Process and Properties Analyses of a Pure Magadiite and a Modified Magadiite on Rhodamine-B from an Aqueous Solution

1
Key Laboratory of Polymer Processing Engineering of Ministry of Education, National Engineering Research Center of Novel Equipment for Polymer Processing, School of Mechanical & Automotive Engineering, South China University of Technology, Guangzhou 510640, China
2
Key Laboratory of Polymeric Composite & Functional Materials of Ministry of Education, Sun Yat-Sen University, Guangzhou 510275, China
3
School of Material Science and Engineering, Guizhou Minzu University, Guiyang 550000, China
4
School of Engineering, The University of British Columbia, Kelowna, BC, V1V 1V7, Canada
5
Department of Robotics & Mechatronics Engineering, University of Dhaka, Dhaka 1000, Bangladesh
6
Department of Computer Science & Engineering, Jessore University of Science and Technology, Jessore 7408, Bangladesh
*
Author to whom correspondence should be addressed.
Processes 2019, 7(9), 565; https://doi.org/10.3390/pr7090565
Submission received: 11 July 2019 / Revised: 13 August 2019 / Accepted: 21 August 2019 / Published: 25 August 2019
(This article belongs to the Special Issue Advances of Nanocomposites in Bioremediation Processes)

Abstract

:
The result of an adsorption experiment indicated that the pure magadiite (MAG) and the modified MAG via cetyltrimethylammonium-bromide (CTAB-MAG) possessed pronounced affinity to the Rhodamine-B (Rh-B) dye molecules. CTAB-MAG was synthesized with an ion-exchange method between MAG and cetyltrimethylammonium-bromide (CTAB) in an aqueous solution. The adsorption capacities of CTAB-MAG and MAG on Rh-B were 67.19 mg/g and 48.13 mg/g, respectively; while the pH and the time were 7 and 60 min, respectively; however, the initial concentration of Rh-B was 100 mg/L, and adsorbent dosage was 1 g/L. Whereas, the adsorption capacity of CTAB-MAG was increased by 40% over MAG which indicated that CTAB-MAG can be used as an efficient low-cost adsorbent. Adsorption kinetics were consistent with the pseudo-second-order kinetic equation; the adsorption processes were dominated by film diffusion process which belonged to monomolecular layer adsorption.

Highlights
  • Intercalated CTAB-MAG was characterized by ion exchange;
  • Adsorption kinetics were well fitted in pseudo second order model and adsorption processes were dominated by film diffusion process which belonged to monomolecular layer adsorption;
  • Adsorption capacity on Rhodamine-B of CTAB-MAG (67.19 mg/g) was increased by 40% over MAG (48.13 mg/g).

1. Introduction

Many dyes are toxic for human health, and many dyes are widely used in numerous industries; however, a synthetic pink dye called Rhodamine-B (Rh-B) has been widely used as a pigment for textiles, food production, and biological staining (in biomedical research laboratories). But it is difficult to degrade because of stable chemical structure, as can be seen from Figure 1. There are many kinds of methods used to treat wastewater containing Rh-B, such as electrochemical oxidation [1], catalytic degradation [2], photocatalytic degradation [3], photoelectrocatalytic degradation [4], heterogeneous photo-Fenton degradation [5], and the adsorption method [6] which is the most common way because it is simple to operate, with wide range of options.
Magadiite (MAG), which was discovered by Eugster in Kenya’s saline lake [7], is a natural layered silicate mineral; its plates present a rose petal shape; it presents as a white powder under normal circumstances. There are so many hydrated sodium ions between the plates that the cation-exchange capacity (CEC) is higher than other silicates, such as montmorillonite and can reach up to 2.22 meq/g [8], which was determined from the ideal formulation of MAG (Na2Si14O29). So far, the cation-exchange properties of MAG investigated [9,10,11,12,13], indicate that MAG can be used as an adsorbent, based on cation exchange [14,15]. According to the current study, MAG can be synthesized [16,17,18,19,20,21]; the laminate of MAG was composed of SiO4 and has no other impurities. Therefore, the structure of the MAG is very stable and has good chemical stability [22,23,24]. The Figure 2 shows the lamellar structure of the MAG; the lines of squares, hexagons and octagons, were expressed as Si–O–Si bond [25].
So far, there are many ways to modify MAG based on ion exchange. Cetyltrimethylammonium (CTMA) [26,27], heterocyclic ammine [28], and octyl triethoxysilane (OTES) [29] have been used to modify MAG, based on cation exchange, which could effectively expand layer spacing and elevate its adsorption performance. In this experiment, we prepared CTAB-MAG by using cetyltrimethylammonium-bromide (CTAB) to modify MAG, which can effectively increase the layer spacing of MAG from 1.52 nm to 3.166 nm, thereby enhancing its adsorption capacity, then we used MAG and CTAB-MAG adsorption Rh-B from an aqueous solution to discuss the adsorption mechanism of CTAB-MAG compared with MAG.

2. Experimental

2.1. Experimental Reagents

The Rh-B (chemical pure) and CTAB (chemical pure) were obtained from Tianjin Fuchen Chemical Reagent Factory, (Tianjin, China). Other necessary chemicals (chemical pure) were obtained from Guangzhou Qianhui Company (Guangzhou, China).

2.2. Measuring Instruments

The X-ray diffraction (XRD) analyses were characterized using an AXS D8 ADVANCE X-ray diffractometer (Bruker AXS, Karlsruhe, Germany). Using the range of 500–4000 cm−1 at room temperature, the Fourier transform infrared spectroscopy (FTIR) analyses were characterized by a NEXUS 670 type FTIR in a KBr pellet (Nicolet, Waltham, MA, USA). The microscopic surface morphology was observed by SEM analyses by Nova Nano type SEM 430 (Merlin, CA, USA).

2.3. Preparation of Sorbents.

The specific preparation method of MAG was made in our laboratory [21]; the synthesis method of CTAB-MAG was an ion exchange method. The interlayer Na+ of MAG exchanges with CTA+ of CTAB to form CTAB-MAG; therefore, the chemical composition of CTAB-MAG was that of the skeleton was MAG, but the interlayer cation was CTA+. The method of preparation for CTAB-MAG was as follows. First, 5 g MAG was weighed and added to deionized water, 50mL, ultrasonically dispersed for 10 min, and magnetically stirred for 1 h. Then we weighed 2.5 g CTAB and added it to MAG disperse solution. We magnetically stirred the solution with MAG and CTAB at 60 °C for 7 h. We washed the CTAB-MAG solution with deionized water until no foam was visible, and filtered it by suction filtration, then put the CTAB-MAG into a vacuum drying oven and dried at 60 °C for 24 h to obtain CTAB-MAG composite powder.

2.4. Adsorption Performance Experiment

Batch adsorption experimentations were completed to explore the possessions factors of adsorption process in order to investigate the adsorptive performance of MAG and CTAB-MAG on Rh-B, such as initial concentration of Rh-B, contact time, solution pH, and adsorbent dose. After adsorption, the MAG and CTAB-MAG were separated from the Rh-B solution by centrifuge at 6000 rpm/min for 10 min; then the concentration of Rh-B were measured by ultraviolet spectrophotometer [30,31]. The adsorption capacity (qe) and the removal of Rh-B by the adsorbent is shown in Equations (1) and (2).
q e = ( C 0 C e ) × V / M
removal = ( C 0 C e ) / C 0
where C0 is the initial concentration of Rh-B (mg/L), Ce is the equilibrium concentration of Rh-B (mg/L), V is adsorption solution volume (mL), and M is adsorbent mass (mg).

2.4.1. Effect of the Initial Concentration of Rh-B

At the normal temperature with the initial concentration of 30, 50, 80, 100, 120, and 150 mg/L, the 40 mL Rh-B solution was added to six beakers; then 40 mg of adsorbent was added for 60 min.

2.4.2. Effect of Adsorption Time

At room temperature, with the initial concentration of 100 mg/L, 40 mL of Rh-B solution was added to seven beakers, then 40 mg of adsorbent was added to each beaker. The adsorption times were set in the seven beakers as 5, 10, 20, 30, 60, 90, and 120 min, respectively.

2.4.3. Effect of pH

At the normal temperature with an initial concentration of 100 mg/L, 40 mL of Rh-B solution was added to six beakers; then 40 mg of adsorbent was added to each beaker; however, the pH of Rh-B solution in the six beakers was adjusted by hydrochloric acid and sodium hydroxide solution to be 4, 6, 7, 8, 10, and 12, respectively, and the adsorption time was set for 60 min.

2.4.4. Effect of the Absorbent Dosage

At the normal temperature with the initial concentration of 100 mg/L, 40 mL of Rh-B solution was added to six beakers, then the dosage of adsorbent was introduced in the six beakers as 10, 20, 30, 40, 50, and 60 mg, respectively, and the adsorption time was set for 60 min.

3. Results and Discussion

3.1. Characterization of Adsorbents

3.1.1. XRD Analyses

It can be seen from Figure 3a that using CTAB modified MAG could effectively expanded its layer spacing, from original 1.52 nm to 3.166 nm, because CTAB can be inserted into the inter-layer of the MAG; meanwhile, the reflection at 5.809° was still visible, indicating that a small portion of MAG was still not intercalated by CTAB. However, the diffraction peak at 2.788° was higher than the diffraction peak at 5.809°, indicating that the intercalation rate was high, which met the needs of this experiment. The enlargement of the layer spacing means that there will be more space between the layers, which can absorb more pollutants.

3.1.2. FTIR Analyses

Figure 3b shows that the absorption reflection bands at 3430 cm−1 and 1630 cm−1 belong to the stretching and bending vibration of the O–H bond; the absorption reflection band at 1089 cm−1 belongs to the symmetric stretching vibration of the [SiO4] tetrahedron; the absorption reflection bands at 785 cm−1 and 619 cm−1 belong to the double rings vibrations. However, CTAB-MAG has three more absorption peaks (at bands 2920 cm−1, 2852 cm−1, and 1484 cm−1) than the MAG spectrum; the symmetric vibration of C–H functional groups belong to the absorption reflection band at 2920 cm−1; the asymmetric vibration of C–H functional groups belong to the absorption reflection band at 2852 cm-1; however, the bending vibration of C–H functional groups belong to the absorption reflection band at 1484 cm−1, thus those results can be proof that MAG and CTAB were presented in the CTAB-MAG sample. Therefore, the addition of CTAB does not destroy the structure of MAG. Combined with XRD analysis, we can prove that CTAB was inserted into the MAG interlayer, thereby increasing the layer spacing of CTAB-MAG.

3.1.3. SEM Analysis

Figure 4 shows the SEM images of MAG and CTAB-MAG. The particles of MAG were rose petal-like and the particle size was nanometer grade in the z direction; however, the particle size was micrometer grade in two other directions (shown in Figure 4a) while part of the laminate of CTAB-MAG was stripped because of the change of layer spacing (shown in Figure 4b).

3.2. Adsorption Performance

3.2.1. Influencing Factors of the Adsorption Capacity

As can be seen from Figure 5a, the adsorption capacity of MAG and CTAB-MAG increased from 21.79 mg/g to 57.87 mg/g, and 27.16 mg/g to 77.68 mg/g with the increasing of the initial concentration of Rh-B from 30 mg/L to 150 mg/L. This was because with the increasing of the initial concentration of Rh-B, the mass transfer power to the adsorbent increases, resulting in an adsorption capacity increase. As can be seen from Figure 5b, the adsorption capacity of MAG and CTAB-MAG increased quickly from 31.85 mg/g to 46.56 mg/g, and from 45.36 mg/g to 65.34 mg/g with the increase of the adsorption time from 5 min to 40 min; however, the adsorption capacity of MAG and CTAB-MAG increased slowly from 46.56 mg/g to 49.07 mg/g, and 65.34 mg/g to 68.82 mg/g with the increase of adsorption time from 40 min to 120 min, respectively. The reason is that the adsorption capacity was increased rapidly first and then increased slowly. The active site of adsorbent was decreased gradually with the adsorption process; on the other hand, the concentration of Rh-B in the solution was gradually decreased; therefore, the rate of particle diffusion was promoted by the concentration difference decreases, resulting in the decrease of the adsorption rate. Figure 5c shows that the adsorption capacity of MAG and CTAB-MAG decreased quickly from 52.39 mg/g to 34.90 mg/g, and from 84.12 mg/g to 40.52 mg/g with the increasing of the pH from 4 to 12, respectively. This decrease could be attributed to competition between the Rh-B dye molecules and the hydroxyl ions present at these pH values [32]. Figure 5d shows that the adsorption capacity of MAG and CTAB-MAG decreased quickly from 128.52 mg/g to 35.54 mg/g, and 149.24 mg/g to 52.43 mg/g with the increasing of the dosage of MAG and CTAB-MAG from 0.25 g/L to 1.5 g/L, respectively.

3.2.2. Isothermal Adsorption Experiment

The adsorption capacity was fitting by the Langmuir model equation and the Freundlich model equation [33,34], as shown in Equations (3) and (4).
q e = K L q max C e 1 + K L C e
where Ce is the concentration at equilibrium (mg·L−1), qe is the adsorption capacity when the adsorption balance (mg·g−1), and KL is Langmuir equilibrium constant (L·mg−1).
q e = K F C e n
where KF and n are the Freundlich equilibrium constant and the characteristic constant, respectively. Figure 6 shows that the adsorption capacity was fitted by Langmuir model equation and Freundlich model equation; meanwhile, Table 1 shows that the related parameters had been well presented. By using the Langmuir model, the correlation coefficients (R2) for MAG and CTAB-MAG were found—0.99 and 0.993, respectively; however, by using the Freundlich model, the correlation coefficients (R2) for MAG and CTAB-MAG were found to be 0.984 and 0.987, respectively, thus indicting that the Langmuir model and Freundlich model can simulate the adsorption process together. However, the Freundlich model constants (1/n) for MAG and CTAB-MAG were found to be 0.40486 and 0.32086, respectively. They were less than 1, indicating an adsorption process consist with monolayer adsorption; meanwhile, this conclusion is also consisted with the assumptions of the Langmuir model.

3.2.3. Adsorption Kinetics Model

The adsorption capacity was fitted by the pseudo first order dynamic equation and the pseudo second order dynamic equation [35,36,37], as shown in Equations (5) and (6). Equation (5) was the pseudo first order dynamic equation expression.
q t = q eq ( 1 e k 1 t )
where K1 was pseudo first order rate constants(min−1), qeq was the adsorption capacity when the adsorption balance(mg·g−1), and qt was the adsorption capacity when the time was t (mg·g−1). Equation (6) was the pseudo second order dynamic equation expression.
q t = k 2 q eq 2 t 1 + k 2 q e q t
where K2 is the pseudo second order rate constants (g·mg−1·min−1), qeq is the adsorption capacity when the adsorption reached at equilibrium (mg·g−1), and qt is the adsorption capacity at time t (mg·g−1). Figure 7 shows that the adsorption capacity was fitted by of the pseudo first order kinetic model and the pseudo second order kinetic model; meanwhile, Table 2 shows that the related parameters had been well presented. By using of the pseudo second order kinetic model, the correlation coefficients (R2) for MAG and CTAB-MAG were found to be 0.999 and 0.999, respectively; however, by using the pseudo first order kinetic model, the correlation coefficients (R2) for MAG and CTAB-MAG were 0.988 and 0.979, respectively, thus the correlation coefficients (R2) of the pseudo second order kinetic model were larger than the correlation coefficients (R2) of the pseudo first order kinetic model for MAG and CTAB-MAG. Therefore, it indicates that the pseudo second order kinetic model was more appropriate for describing the adsorption process.
The Table 2 shows that the experimental results (qeqe) of MAG and CTAB-MAG were 49.07 and 68.82, respectively. The calculated results (qeqc) for the pseudo-second-order dynamic equation of MAG and CTAB-MAG were 50.994 and 71.327, respectively; however, the calculated results (qeqc) for the pseudo first order dynamical equation of MAG and CTAB-MAG were 22.81 and 27.99, respectively. Thus, the calculated results (qeqc) of the pseudo-second-order dynamic equation approached the investigational results (qeqe) indicting that the pseudo-second-order kinetic model was more appropriate for relating the adsorption process.

3.2.4. Adsorption Ratio Model

In order to investigate the adsorption rate, we research the dynamic boundary models, such as the film diffusion model, particle diffusion model, and chemical reaction model. We defined qt/qeq as F, where qt was the adsorption capacity at time t (mg·g−1), and qeq was the adsorption capacity when the adsorption reached equilibrium (mg·g−1), in the three equations that follow [38,39].
Film diffusion model:
In ( 1 F ) = k t
Particle diffusion model:
1 3 ( 1 F ) 2 3 + 2 ( 1 F ) = k t
Chemical reaction model:
1 ( 1 F ) 1 3 = k t
Figure 8 shows the three moving boundary models. Figure 8a is the film diffusion; 8b is the particle diffusion; 8c is the chemical reaction. The results of the moving boundary models have been presented in Table 3. As shown in Table 3, the correlation coefficients R2 of the film diffusion model for MAG (0.988) and CTAB-MAG (0.979) were larger than in the particle diffusion model for MAG (0.909) and CTAB-MAG (0.887), as well as chemical reaction model for MAG (0.934) and CTAB-MAG (0.911), indicating that the film diffusion was more suitable for describing the adsorption.

3.2.5. The Greater Adsorption Performance of CTAB-MAG

The adsorption capacities of MAG and CTAB-MAG were 48.13 mg/g, 67.19 mg/g, respectively. When pH was 7, adsorption time was 60 min, the initial concentration of Rh-B was 100 mg/L, and the adsorbent dosage was 1 g/L. The Table 4 shows that the adsorption capacity of MAG (48.13 mg/g) and CTAB-MAG (67.19 mg/g) were both higher than kaolinite (46.08 mg/g) [40], sodium montmorillonite (42.19 mg/g) [41], and duolite C-20 resin (28.57 mg/g) [42]. Those results indicate in this process that CTAB-MAG can be used as an efficient low-cost adsorbent for removing Rh-B from an aqueous solution.

4. Conclusions

In this work, we prepared CTAB-MAG by using CTAB to modify MAG, based on ion exchange. Compared with MAG, CTAB-MAG can effectively increase the layer spacing of MAG from 1.52 nm to 3.166 nm, thereby enhancing its adsorption capacity. Meanwhile, the adsorption results shown the pronounced affinity of the CTAB-MAG to the Rh-B dye molecules. The adsorption capacities of MAG and CTAB-MAG were 48.13 mg/g and 67.19 mg/g. The adsorption capacity of CTAB-MAG was increased by 40% over MAG, indicating that CTAB-MAG can be used as an efficient, low-cost adsorbent. The pseudo-second-order kinetic equation was more suitable for describing the adsorption; the adsorption process was dominated by a film diffusion process. The adsorption process belongs to monomolecular layer adsorption processes.

Author Contributions

Conceptualization, M.G., C.Z., and G.L.; data curation, Y.Y., L.J., and J.A.S.M.; formal analysis, Z.X.; funding acquisition M.G., G.L., and Y.Y.; investigation, M.G., Z.X., C.Z., and G.L.; methodology, Z.X., C.Z., and G.L.; project administration, M.G.; resources, Y.Y. and G.H.; software, J.A.S.M. and L.J.; supervision, M.G.; validation, C.Z. and J.A.S.M.; visualization, Z.X. and J.A.S.M.; writing—original draft, Z.X.; writing—reviewing and editing, G.H., L.J., and J.A.S.M.

Funding

The authors gratefully acknowledge the financial support of this research work by the Natural Science Foundation of Guangdong Province Project (project number 2016A030313520), Key Laboratory of Polymeric Composite and Functional Materials of Ministry of Education Project (project number PCFM-2017-02), Guangdong Water Conservancy Science and Technology Innovation Project (project number 2017-24), and the Guangdong Provincial Department of Education Featured Innovation Project (project number 2017KTSCX007).

Acknowledgments

The authors are grateful to the reviewers for their valuable review comments to enrich the publication.

Conflicts of Interest

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results.

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Figure 1. Structure schematic diagram of the Rhodamine-B (Rh-B).
Figure 1. Structure schematic diagram of the Rhodamine-B (Rh-B).
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Figure 2. Schematic diagram of the structure of the magadiite (MAG).
Figure 2. Schematic diagram of the structure of the magadiite (MAG).
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Figure 3. Patterns of MAG and cetyltrimethylammonium-bromide (CTAB)-MAG (a) XRD and (b) FTIR.
Figure 3. Patterns of MAG and cetyltrimethylammonium-bromide (CTAB)-MAG (a) XRD and (b) FTIR.
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Figure 4. SEM image of (a) MAG and (b) CTAB-MAG.
Figure 4. SEM image of (a) MAG and (b) CTAB-MAG.
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Figure 5. Factors affecting adsorption capacity: (a) Initial concentration, (b) adsorption time, (c) pH, and (d) absorbent dosage.
Figure 5. Factors affecting adsorption capacity: (a) Initial concentration, (b) adsorption time, (c) pH, and (d) absorbent dosage.
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Figure 6. Adsorption isotherm models. (a) Langmuir model, and (b) Freundlich model.
Figure 6. Adsorption isotherm models. (a) Langmuir model, and (b) Freundlich model.
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Figure 7. Kinetic curves. (a) Pseudo-first-order kinetic model, and (b) pseudo-second-order kinetic model.
Figure 7. Kinetic curves. (a) Pseudo-first-order kinetic model, and (b) pseudo-second-order kinetic model.
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Figure 8. Moving boundary models. (a) Film diffusion, (b) particle diffusion, and (c) chemical reaction.
Figure 8. Moving boundary models. (a) Film diffusion, (b) particle diffusion, and (c) chemical reaction.
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Table 1. Isotherm adsorption equation fitted parameters.
Table 1. Isotherm adsorption equation fitted parameters.
Langumir ModelFreundlich Model
KLqmR2KF1/nR2
MAG0.047669.440.997189.6110.404860.98432
CTAB-MAG0.132185.110.9932721.3040.320860.98763
Table 2. Adsorption kinetic constants of Rh-B.
Table 2. Adsorption kinetic constants of Rh-B.
Pseudo-First-Order Kinetic ModelPseudo-Second-Order Kinetic ModelExperiment
K1qeqcR2K2qeqcR2qeqe
MAG0.050122.810.988170.0044950.9940.9993749.07
CTAB-MAG0.044827.990.979130.0033671.3270.9994968.82
Table 3. Equation constants of moving boundary models.
Table 3. Equation constants of moving boundary models.
Film DiffusionParticle DiffusionChemical Reaction
kR2kR2kR2
MAG0.0510.9880.0090.9090.0060.934
CTAB-MAG0.0450.9790.0080.8870.0060.911
Table 4. Comparison of Rh-B adsorption capacity with other reported systems.
Table 4. Comparison of Rh-B adsorption capacity with other reported systems.
AdsorbentsConditionsIsothermsKineticsAdsorption CapacityReferences
CTAB-MAGPh = 7; dosage 1 g/L; Rh-B concentration 100 mg/LLangmuir and Freundlichpseudo-second-order67.19 mg/gThis work
MAGPh = 7; dosage 1 g/L; Rh-B concentration 100 mg/LLangmuirand Freundlichpseudo-second-order48.13 mg/gThis work
KaolinitePh = 7; dosage 3 g/L; Rh-B concentration 90 mg/LLangmuirpseudo-second-order46.08 mg/g[40]
Sodium montmorillonitePh = 7; dosage 0.3 g/L; Rh-B concentration 200 mg/LLangmuirpseudo-second-order42.19 mg/g[41]
Duolite C-20 resinPh = 7; dosage 0.4 g/L; Rh-B concentration 8.129 mg/LLangmuir and Freundlichpseudo-first-order28.57 mg/g[42]

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Ge, M.; Xi, Z.; Zhu, C.; Liang, G.; Yang, Y.; Hu, G.; Jamal, L.; S.M., J.A. Adsorption Process and Properties Analyses of a Pure Magadiite and a Modified Magadiite on Rhodamine-B from an Aqueous Solution. Processes 2019, 7, 565. https://doi.org/10.3390/pr7090565

AMA Style

Ge M, Xi Z, Zhu C, Liang G, Yang Y, Hu G, Jamal L, S.M. JA. Adsorption Process and Properties Analyses of a Pure Magadiite and a Modified Magadiite on Rhodamine-B from an Aqueous Solution. Processes. 2019; 7(9):565. https://doi.org/10.3390/pr7090565

Chicago/Turabian Style

Ge, Mingliang, Zhuangzhuang Xi, Caiping Zhu, Guodong Liang, Yinye Yang, Guoqing Hu, Lafifa Jamal, and Jahangir Alam S.M. 2019. "Adsorption Process and Properties Analyses of a Pure Magadiite and a Modified Magadiite on Rhodamine-B from an Aqueous Solution" Processes 7, no. 9: 565. https://doi.org/10.3390/pr7090565

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