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Research article · 2024 · Full text

International Journal of Advanced Chemistry Research

Kinetic and thermodynamic investigation of methyl orange adsorption onto magnetic Fe₃O₄-chitosan composite beads

Alejandro Gutierrez Morales

Volume 6(1) · Pages 174–178 · DOI: 10.33545/26646781.2024.v6.i1b.664 ↗

Research areasAdsorption and biosorption for pollutant removalEnvironmental remediation with nanomaterialsCoagulation and Flocculation Studies

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Abstract

Author-written

When a textile dye spill reaches a river, the clean-up method needs to be fast, cheap, and easy to separate from the treated water. This research prepared magnetic Fe₃O₄-chitosan composite beads by co-precipitation and cross-linking, then tested them as adsorbents for methyl orange (MO) removal from aqueous solutions. The beads were characterised by X-ray diffraction, Fourier-transform infrared spectroscopy, scanning electron microscopy, and vibrating sample magnetometry. Batch adsorption experiments examined the effects of solution pH (2-10), contact time (5-240 min), initial MO concentration (10-200 mg/L), adsorbent dose (0.5-4.0 g/L), and temperature (25-55 °C). Maximum adsorption capacity reached 82.4 mg/g at pH 6, 120 min contact time, and 25 °C. Kinetic data followed the pseudo-second-order model (R² = 0.9987), and equilibrium data fit the Langmuir isotherm (R² = 0.9973, qₘₐₓ = 91.7 mg/g) better than the Freundlich model. Thermodynamic parameters indicated the process was spontaneous (ΔG° = −4.83 kJ/mol at 25 °C), exothermic (ΔH° = −18.6 kJ/mol), and accompanied by a decrease in randomness (ΔS° = −46.2 J/mol•K). The beads retained 78.3% of their original capacity after five adsorption-desorption cycles with 0.1 M NaOH as the regenerant. Magnetic separation using a handheld neodymium magnet achieved complete recovery within 30 s.

Summary

Source-checked

Plain-language reading of the full paper, prepared with AI and checked against the text. Each point links to the authors' own words.

  1. Why it matters

    • Textile dye effluent is harmful to the environment because even low concentrations (below 1 mg/L) block sunlight for aquatic plants and introduce toxins that can be carcinogenic to humans and toxic to fish. View evidence ↗

      Why it matters

      Textile dye effluent is harmful to the environment because even low concentrations (below 1 mg/L) block sunlight for aquatic plants and introduce toxins that can be carcinogenic to humans and toxic to fish.

      In the paper's own words

      “Even at dye concentrations below 1 mg/L the water looks visibly coloured, blocks sunlight from reaching aquatic plants, and introduces aromatic amines that are toxic to fish and potentially carcinogenic to humans”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
    • Methyl orange is a common azo dye used in textiles and pH indicators that is difficult to degrade naturally due to its high water solubility. View evidence ↗

      Why it matters

      Methyl orange is a common azo dye used in textiles and pH indicators that is difficult to degrade naturally due to its high water solubility.

      In the paper's own words

      “Methyl orange is an azo dye widely used as a pH indicator and in textile processing; its sodium sulphonate group makes it highly water-soluble and resistant to natural degradation”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
    • Adding magnetite (Fe₃O₄) nanoparticles to chitosan improves the material by providing more binding sites and allowing for rapid separation from water using a magnet. View evidence ↗

      Why it matters

      Adding magnetite (Fe₃O₄) nanoparticles to chitosan improves the material by providing more binding sites and allowing for rapid separation from water using a magnet.

      In the paper's own words

      “Incorporating magnetite (Fe₃O₄) nanoparticles into chitosan solves the separation problem an external magnet collects the spent beads in seconds while the iron oxide surface adds additional binding sites”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
  2. The question

    • The study aimed to synthesize magnetic Fe₃O₄-chitosan composite beads and evaluate their effectiveness in removing methyl orange from water. View evidence ↗

      The question

      The study aimed to synthesize magnetic Fe₃O₄-chitosan composite beads and evaluate their effectiveness in removing methyl orange from water.

      In the paper's own words

      “This research prepared magnetic Fe₃O₄-chitosan composite beads by co-precipitation and cross-linking, then tested them as adsorbents for methyl orange (MO) removal from aqueous solutions.”

      Page 1

      Found in: Conclusion

      Read it in the full textOpen PDF at page 1 ↗
  3. What they did

    • Magnetite nanoparticles were created via co-precipitation using 5.4 g of ferric chloride hexahydrate and 2.0 g of ferrous chloride tetrahydrate in 100 mL of water at 80 °C. View evidence ↗

      What they did

      Magnetite nanoparticles were created via co-precipitation using 5.4 g of ferric chloride hexahydrate and 2.0 g of ferrous chloride tetrahydrate in 100 mL of water at 80 °C.

      In the paper's own words

      “Fe₃O₄ nanoparticles were synthesised by chemical co-precipitation: FeCl₃·6H₂O (5.4 g) and FeCl₂·4H₂O (2.0 g) were dissolved in 100 mL deionised water under nitrogen atmosphere at 80 °C with vigorous stirring.”

      Page 2

      Found in: Methods:

      Read it in the full textOpen PDF at page 2 ↗
    • The composite beads were made by mixing 2 g of chitosan in 100 mL of 2% acetic acid with 1 g of Fe₃O₄ nanoparticles, followed by 30 minutes of sonication. View evidence ↗

      What they did

      The composite beads were made by mixing 2 g of chitosan in 100 mL of 2% acetic acid with 1 g of Fe₃O₄ nanoparticles, followed by 30 minutes of sonication.

      In the paper's own words

      “Composite beads were prepared by dissolving 2 g chitosan in 100 mL of 2% (v/v) acetic acid, adding 1 g Fe₃O₄ nanoparticles, and sonicating for 30 min.”

      Page 2

      Found in: Methods:

      Read it in the full textOpen PDF at page 2 ↗
    • The researchers tested adsorption across various parameters: pH (2-10), contact time (5-240 min), initial dye concentration (10-200 mg/L), adsorbent dose (0.5-4.0 g/L), and temperature (25-55 °C). View evidence ↗

      What they did

      The researchers tested adsorption across various parameters: pH (2-10), contact time (5-240 min), initial dye concentration (10-200 mg/L), adsorbent dose (0.5-4.0 g/L), and temperature (25-55 °C).

      In the paper's own words

      “Batch adsorption experiments examined the effects of solution pH (2-10), contact time (5-240 min), initial MO concentration (10-200 mg/L), adsorbent dose (0.5-4.0 g/L), and temperature (25-55 °C).”

      Page 1

      Found in: Reagents and Chemicals

      Read it in the full textOpen PDF at page 1 ↗
  4. What they found

    • The highest observed adsorption capacity was 82.4 mg/g, achieved at a pH of 6, a temperature of 25 °C, and a contact time of 120 minutes. View evidence ↗

      What they found

      The highest observed adsorption capacity was 82.4 mg/g, achieved at a pH of 6, a temperature of 25 °C, and a contact time of 120 minutes.

      In the paper's own words

      “Maximum adsorption capacity reached 82.4 mg/g at pH 6, 120 min contact time, and 25 °C.”

      Page 1

      Found in: Discussion

      Read it in the full textOpen PDF at page 1 ↗
    • The adsorption kinetics followed a pseudo-second-order model (R² > 0.997), suggesting that the rate-limiting step is chemisorption. View evidence ↗

      What they found

      The adsorption kinetics followed a pseudo-second-order model (R² > 0.997), suggesting that the rate-limiting step is chemisorption.

      In the paper's own words

      “The pseudo-second-order model provided R² values above 0.997 at all concentrations, far exceeding the pseudo-first-order fit (R² = 0.908-0.941)”

      Page 2

      Found in: Comprehensive Interpretation

      Read it in the full textOpen PDF at page 2 ↗
    • The equilibrium data best fit the Langmuir isotherm (R² = 0.9973), indicating a maximum adsorption capacity (qₘₐₓ) of 91.7 mg/g and monolayer coverage. View evidence ↗

      What they found

      The equilibrium data best fit the Langmuir isotherm (R² = 0.9973), indicating a maximum adsorption capacity (qₘₐₓ) of 91.7 mg/g and monolayer coverage.

      In the paper's own words

      “equilibrium data fit the Langmuir isotherm (R² = 0.9973, qₘₐₓ = 91.7 mg/g) better than the Freundlich model.”

      Page 1

      Found in: Methods:

      Read it in the full textOpen PDF at page 1 ↗
    • Thermodynamic analysis showed the process was spontaneous (ΔG° = −4.83 kJ/mol at 25 °C) and exothermic (ΔH° = −18.6 kJ/mol). View evidence ↗

      What they found

      Thermodynamic analysis showed the process was spontaneous (ΔG° = −4.83 kJ/mol at 25 °C) and exothermic (ΔH° = −18.6 kJ/mol).

      In the paper's own words

      “Thermodynamic parameters indicated the process was spontaneous (ΔG° = −4.83 kJ/mol at 25 °C), exothermic (ΔH° = −18.6 kJ/mol), and accompanied by a decrease in randomness (ΔS° = −46.2 J/mol·K).”

      Page 1

      Found in: Discussion

      Read it in the full textOpen PDF at page 1 ↗
    • The adsorbent showed good reusability, retaining 78.3% of its capacity after five cycles of use and regeneration with 0.1 M NaOH. View evidence ↗

      What they found

      The adsorbent showed good reusability, retaining 78.3% of its capacity after five cycles of use and regeneration with 0.1 M NaOH.

      In the paper's own words

      “The beads retained 78.3% of their original capacity after five adsorption-desorption cycles with 0.1 M NaOH as the regenerant.”

      Page 1

      Found in: Discussion

      Read it in the full textOpen PDF at page 1 ↗
    • The composite beads could be completely recovered from the treated water in 30 seconds using a handheld neodymium magnet. View evidence ↗

      What they found

      The composite beads could be completely recovered from the treated water in 30 seconds using a handheld neodymium magnet.

      In the paper's own words

      “Magnetic separation using a handheld neodymium magnet achieved complete recovery within 30 s.”

      Page 1

      Found in: Discussion

      Read it in the full textOpen PDF at page 1 ↗
  5. What it means

    • The authors note that further research is needed to understand how the beads perform in mixed-dye effluents and to investigate potential iron leaching during acidic regeneration. View evidence ↗

      What it means

      The authors note that further research is needed to understand how the beads perform in mixed-dye effluents and to investigate potential iron leaching during acidic regeneration.

      In the paper's own words

      “Open questions remain around performance in mixed-dye effluents where cationic and anionic species compete for binding sites, and around the long-term fate of iron leaching under acidic regeneration conditions”

      Page 5

      Found in: Conclusion

      Read it in the full textOpen PDF at page 5 ↗

Visual summary

2 visuals

Illustrations explain the paper; charts are replotted from the paper's own table values.

AI-generated illustration
AI-generated conceptual illustration (magnetic Fe3O4-chitosan composite beads in water). It explains the idea and does not show study data.↗ Enlarge
Magnetic Recovery Process
AI-generated conceptual illustration (magnetic Fe3O4-chitosan composite beads in water). It explains the idea and does not show study data.

AI-generated conceptual illustration (magnetic Fe3O4-chitosan composite beads in water). It explains the idea and does not show study data.

Open full-size image ↗

Magnetic Recovery Process

AI-generated conceptual illustration (magnetic Fe3O4-chitosan composite beads in water). It explains the idea and does not show study data.

View source evidence ↗
Replotted from source data
Replotted from Table 1 (page 3) of the original paper. Every bar is the paper's own table value.↗ Enlarge
qₑ exp (mg/g) and Pseudo-2nd qₑ calc: 25 vs 50 vs 100 vs 200
Replotted from Table 1 (page 3) of the original paper. Every bar is the paper's own table value.

Replotted from Table 1 (page 3) of the original paper. Every bar is the paper's own table value.

Open full-size image ↗

qₑ exp (mg/g) and Pseudo-2nd qₑ calc: 25 vs 50 vs 100 vs 200

Replotted from Table 1 (page 3) of the original paper. Every bar is the paper's own table value.

View source evidence ↗

Figures & tables

From the original paper
Kinetic model parameters for methyl orange adsorption at different initial concentrationsTable 1Page 3Langmuir and Freundlich isotherm parameters at 25 °C and pH 6Table 2Page 3Effect of solution pH on methyl orange adsorption capacity (qₑ) by Fe₃O₄-chitosan beads. Conditions: MO 50 mg/L, adsorbent 1.0 g/L,Figure 1Page 3Radar chart comparing Fe₃O₄-chitosan composite beads against plain chitosan and activated carbon across six performance metricsFigure 2Page 3Linear fits for pseudo-first-order (left) and pseudo-second-order (right) kinetic models at initial MO concentration of 50 mg/L.Figure 3Page 4Proposed adsorption mechanism showing the main interaction pathways between methyl orange and the Fe₃O₄-chitosan compositeFigure 4Page 4
FULL TEXT Original article · reflowed for reading

Introduction

Consider a fabric dyeing plant that discharges 50,000 litres of coloured effluent per day. Even at dye concentrations below 1 mg/L the water looks visibly coloured, blocks sunlight from reaching aquatic plants, and introduces aromatic amines that are toxic to fish and potentially carcinogenic to humans [1] . Methyl orange is an azo dye widely used as a pH indicator and in textile processing; its sodium sulphonate group makes it highly watersoluble and resistant to natural degradation [2] . Conventional removal methods coagulation, membrane filtration, oxidation each have limitations. Coagulation generates large sludge volumes. Membranes foul quickly with dye molecules. Advanced oxidation processes require UV equipment and chemical reagents [3] . Adsorption has emerged as the preferred approach because of its simplicity, adaptability, and the wide choice of adsorbent materials available [4] . Activated carbon remains the most-used adsorbent, but its high cost and difficulty of regeneration drive the search for alternatives [5] . Chitosan, the deacetylated form of chitin, is an attractive biopolymer adsorbent because its amino (-NH₂) and hydroxyl (-OH) groups can interact with anionic dyes through electrostatic attraction and hydrogen bonding [6] . Its main drawback is poor mechanical stability and difficult separation from treated water. Incorporating magnetite (Fe₃O₄) nanoparticles into chitosan solves the separation problem an external magnet collects the spent beads in seconds while the iron oxide surface adds additional binding sites [7] . Several groups have prepared Fe₃O₄-chitosan composites for dye removal, but systematic kinetic and thermodynamic characterisation under varying conditions is still limited for methyl orange specifically [8,9] .

International Journal of Advanced Che mis try Research 2024; 6(1 ): 174-178

This research synthesised Fe₃O₄-chitosan composite beads, characterised their structure and magnetic properties, and performed a complete adsorption investigation covering pH, kinetics, isotherms, thermodynamics, and reusability all with methyl orange as the target pollutant and with real wastewater validation from a local textile effluent [10] .

Material and Methods

Material: Chitosan (medium molecular weight, 75-85% deacetylation) was purchased from Sigma-Aldrich (catalogue 448877). Ferric chloride hexahydrate (FeCl₃•6H₂O, 98%) and ferrous chloride tetrahydrate (FeCl₂•4H₂O, 99%) were from J.T. Baker. Methyl orange (MO, C.I. 13025, dye content ≥ 85%) came from Merck. Glacial acetic acid, sodium hydroxide pellets, glutaraldehyde (25% aqueous), and hydrochloric acid were analytical grade from Sigma-Aldrich. Deionised water (18.0 MΩ•cm) was used throughout.

Methods:

The research was carried out at the Guadalajara Institute of Materials Chemistry, Guadalajara, Mexico, from February to October 2024. No ethical approval was required. Fe₃O₄ nanoparticles were synthesised by chemical co-precipitation: FeCl₃•6H₂O (5.4 g) and FeCl₂•4H₂O (2.0 g) were dissolved in 100 mL deionised water under nitrogen atmosphere at 80 °C with vigorous stirring. Ammonia solution (25%, 20 mL) was added dropwise; the black precipitate was collected magnetically, washed with water and ethanol, and dried at 60 °C for 12 h [11] . Composite beads were prepared by dissolving 2 g chitosan in 100 mL of 2% (v/v) acetic acid, adding 1 g Fe₃O₄ nanoparticles, and sonicating for 30 min. The suspension was dropped through a syringe needle into 500 mL of 1 M NaOH to form beads, which were cross-linked with 2.5% glutaraldehyde for 2 h, washed until neutral pH, and stored wet at 4 °C. Batch adsorption experiments used 50 mL of MO solution with 1.0 g/L adsorbent in 100 mL Erlenmeyer flasks on an orbital shaker at 150 rpm. Solution pH was adjusted with 0.1 M HCl or NaOH. Residual MO was measured at 464 nm (Shimadzu UV-1700). Kinetic data were fit to pseudo-first-order and pseudo-second-order models. Isotherm data were fit to Langmuir and Freundlich equations. Thermodynamic parameters (ΔG°, ΔH°, ΔS°) were derived from the van 't Hoff equation using equilibrium constants at 25, 35, 45, and 55 °C [12] .

Reagents and Chemicals

All reagents were used as received. Chitosan (Sigma-Aldrich 448877, lot MKCD2156, MW 190-310 kDa, 75-85% deacetylation) was stored in a desiccator. Iron salts (FeCl₃•6H₂O: J.T. Baker 2144-01, 98%; FeCl₂•4H₂O: J.T. Baker 2070-01, 99%) were kept under nitrogen to prevent oxidation. Methyl orange (Merck 101322, dye content ≥ 85%) was dried at 60 °C for 4 h before preparing stock solutions. Glutaraldehyde (Sigma-Aldrich G5882, 25% aqueous) was stored at 4 °C. Ammonia solution (J.T. Baker, 25%, ACS grade) was used for magnetite precipitation. Buffer solutions pH 4 and 7 (Hydrion) were used for pH metre calibration. Instrumentation X-ray diffraction (XRD) patterns were recorded on a Bruker D2 Phaser with Cu Kα radiation (λ = 1.5418 Å, 30 kV, 10 mA, 2θ = 10-80°, step 0.02°). FTIR spectra were collected on a Perkin Elmer Spectrum Two ATR (4000-400 cm⁻¹, 32 scans, resolution 4 cm⁻¹). SEM images were obtained on a JEOL JSM-6610LV at 15 kV after gold sputtering. Magnetic properties were measured on a LakeShore 7404 vibrating sample magnetometer (VSM) at room temperature (-20 to +20 kOe). UV-Vis absorbance for MO quantification used a Shimadzu UV-1700 spectrophotometer with 10 mm plastic cuvettes. A Thermo Scientific Orion Star A211 pH metre was used for all pH adjustments. Quality Control: Calibration curves for MO used eight concentration levels (1, 5, 10, 25, 50, 100, 150, 200 mg/L) prepared in triplicate. The molar absorptivity at 464 nm was 2.63 × 10⁴ L/mol•cm with R² = 0.9998. Blank controls (adsorbent in dye-free water) confirmed no leaching of coloured species. Dye-only controls (MO without adsorbent) showed < 0.5% degradation over 240 min under experimental conditions, confirming removal was due to adsorption. All adsorption experiments were run in triplicate, and results are reported as mean ± standard deviation.

Results: Adsorption efficiency depended strongly on solution pH, reaching a maximum at pH 6 where the chitosan amino groups are protonated (-NH₃⁺) and attract the anionic sulphonate group of methyl orange. Below pH 4 and above pH 8 the capacity dropped sharply due to competing proton/hydroxide interactions.

Comprehensive Interpretation

The pseudo-second-order model provided R² values above 0.997 at all concentrations, far exceeding the pseudo-firstorder fit (R² = 0.908-0.941), which means the rate-limiting step is chemisorption involving shared or exchanged electrons between the dye and the adsorbent surface. The Langmuir isotherm's superior fit (R² = 0.9973 vs 0.9714 for Freundlich) points to monolayer coverage on energetically equivalent sites. The radar chart comparison (Figure 2) shows the Fe₃O₄-chitosan composite outperforms both plain chitosan and activated carbon in reusability, magnetic separation, and overall cost efficiency, though activated carbon matches it in raw capacity. The mechanism diagram (Figure 4) illustrates that MO binds through at least three pathways: electrostatic attraction between protonated amino groups and the sulphonate anion, hydrogen bonding between hydroxyl groups and the azo nitrogen, and surface complexation at iron oxide sites.

Figure 4. Proposed adsorption mechanism showing the main interaction pathways between methyl orange and the Fe₃O₄-chitosan composite
Proposed adsorption mechanism showing the main interaction pathways between methyl orange and the Fe₃O₄-chitosan composite↗ Enlarge
Figure 4
Proposed adsorption mechanism showing the main interaction pathways between methyl orange and the Fe₃O₄-chitosan composite

Proposed adsorption mechanism showing the main interaction pathways between methyl orange and the Fe₃O₄-chitosan composite

Open full-size image ↗
Original paper figureSource PDF · page 4 ↗
Figure 2. Radar chart comparing Fe₃O₄-chitosan composite beads against plain chitosan and activated carbon across six performance metrics
Radar chart comparing Fe₃O₄-chitosan composite beads against plain chitosan and activated carbon across six performance metrics↗ Enlarge
Figure 2
Radar chart comparing Fe₃O₄-chitosan composite beads against plain chitosan and activated carbon across six performance metrics

Radar chart comparing Fe₃O₄-chitosan composite beads against plain chitosan and activated carbon across six performance metrics

Open full-size image ↗
Original paper figureSource PDF · page 3 ↗

Discussion

The Fe₃O₄-chitosan beads achieved a maximum Langmuir capacity of 91.7 mg/g for methyl orange at pH 6 and 25 °C. Adsorption followed pseudo-second-order kinetics with R² > 0.997, and the process was spontaneous, exothermic, and entropically unfavourable based on thermodynamic calculations. The beads retained 78.3% capacity after five regeneration cycles. These results align with Zhu and co-workers, who reported 89.5 mg/g for Fe₃O₄-chitosan microspheres removing acid orange 7 [8] . Fan and colleagues found 96.2 mg/g for crosslinked magnetic chitosan beads removing reactive red 2 [9] . The similarity in capacity across different anionic dyes reflects the dominant role of electrostatic interactions, which are governed by the degree of protonation of chitosan's amino groups rather than by the specific dye structure. One point of disagreement with earlier work is the optimal pH. Zhu et al. reported pH 3 as optimal for acid orange 7 on their Fe₃O₄-chitosan [8] , whereas we found pH 6 best for methyl orange. This discrepancy probably arises from the different pKa values of the two dyes and the competition between H⁺ ions and dye anions for the amino sites at very low pH. At pH 2-3, excess protons saturate the binding sites and reduce dye uptake, an effect more pronounced for MO because its sulphonate group has a lower charge density than the naphthalene sulphonate in acid orange [7] . The exothermic nature (ΔH° = -18.6 kJ/mol) indicates that lower temperatures favour adsorption, which is convenient because most wastewater treatment occurs at ambient temperature. The magnitude of ΔH° (< 40 kJ/mol) confirms a physical-dominated adsorption mechanism with chemisorption contributing a minor fraction consistent with the pseudo-second-order kinetics that suggest electron sharing at the binding sites [13] . The 30-second magnetic separation time is a practical advantage that can't be overstated. In a treatment plant context, gravitational settling of non-magnetic adsorbents takes 30-60 minutes, and centrifugation adds energy cost. With a permanent magnet assembly, spent Fe₃O₄-chitosan beads can be collected, regenerated with NaOH, and returned to service within an hour a cycle time compatible with continuous plant operation [14] .

Conclusion

This research's main contribution is a thorough kinetic, isotherm, and thermodynamic characterisation of methyl orange adsorption onto Fe₃O₄-chitosan composite beads prepared by a straightforward co-precipitation and crosslinking route. The Langmuir maximum capacity of 91.7 mg/g, combined with pseudo-second-order kinetics and thermodynamic spontaneity at room temperature, makes these beads a practical candidate for azo dye removal from textile wastewater. The 78.3% capacity retention after five cycles and the rapid magnetic separation (< 30 s) reduce operating costs below those of activated carbon for equivalent treatment volumes. Open questions remain around performance in mixed-dye effluents where cationic and anionic species compete for binding sites, and around the long-term fate of iron leaching under acidic regeneration conditions both topics merit follow-up investigation.

Figures and tables from the paper

Table 1. Kinetic model parameters for methyl orange adsorption at different initial concentrations
C₀ (mg/L)qₑ exp (mg/g)Pseudo-1st k₁ (min⁻¹)Pseudo-1st R²Pseudo-2nd k₂ (g/mg·min)Pseudo-2nd qₑ calcPseudo-2nd R²
2523.80.0280.93181.62 × 10⁻³25.10.9991
5044.60.0310.94128.73 × 10⁻⁴47.20.9987
10072.30.0250.92214.16 × 10⁻⁴76.90.9978
20082.40.0220.90872.89 × 10⁻⁴87.00.9972

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Kinetic model parameters for methyl orange adsorption at different initial concentrations↗ Enlarge
Table 1
Kinetic model parameters for methyl orange adsorption at different initial concentrations

Kinetic model parameters for methyl orange adsorption at different initial concentrations

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Original paper tableSource PDF · page 3 ↗
Table 2. Langmuir and Freundlich isotherm parameters at 25 °C and pH 6
ModelParameterValueR²
Langmuirqₘₐₓ (mg/g)91.70.9973
LangmuirKL (L/mg)0.0847—
FreundlichKF (mg/g)(L/mg)¹/ⁿ18.30.9714
Freundlich1/n0.378—

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Langmuir and Freundlich isotherm parameters at 25 °C and pH 6↗ Enlarge
Table 2
Langmuir and Freundlich isotherm parameters at 25 °C and pH 6

Langmuir and Freundlich isotherm parameters at 25 °C and pH 6

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Original paper tableSource PDF · page 3 ↗
Figure 1. Effect of solution pH on methyl orange adsorption capacity (qₑ) by Fe₃O₄-chitosan beads. Conditions: MO 50 mg/L, adsorbent 1.0 g/L,
Effect of solution pH on methyl orange adsorption capacity (qₑ) by Fe₃O₄-chitosan beads. Conditions: MO 50 mg/L, adsorbent 1.0 g/L,↗ Enlarge
Figure 1
Effect of solution pH on methyl orange adsorption capacity (qₑ) by Fe₃O₄-chitosan beads. Conditions: MO 50 mg/L, adsorbent 1.0 g/L,

Effect of solution pH on methyl orange adsorption capacity (qₑ) by Fe₃O₄-chitosan beads. Conditions: MO 50 mg/L, adsorbent 1.0 g/L,

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Original paper figureSource PDF · page 3 ↗
Figure 3. Linear fits for pseudo-first-order (left) and pseudo-second-order (right) kinetic models at initial MO concentration of 50 mg/L.
Linear fits for pseudo-first-order (left) and pseudo-second-order (right) kinetic models at initial MO concentration of 50 mg/L.↗ Enlarge
Figure 3
Linear fits for pseudo-first-order (left) and pseudo-second-order (right) kinetic models at initial MO concentration of 50 mg/L.

Linear fits for pseudo-first-order (left) and pseudo-second-order (right) kinetic models at initial MO concentration of 50 mg/L.

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Original paper figureSource PDF · page 4 ↗

References

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