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Article

Adsorption Process of Methyl Orange Dye onto Zinc Hydroxide Nitrate: Kinetic and Thermodynamic Studies

by
Daiane Amaral de Ramos Nogueira
,
Tânia Marina Palhano Zanela
,
Monielly Viomar Machado
,
Carlos Alberto Policiano Almeida
and
Rafael Marangoni
*
Departamento de Química (DEQ), Universidade Estadual do Centro-Oeste (UNICENTRO), Guarapuava 85040-167, PR, Brazil
*
Author to whom correspondence should be addressed.
Colorants 2023, 2(3), 565-577; https://doi.org/10.3390/colorants2030028
Submission received: 30 July 2023 / Revised: 26 August 2023 / Accepted: 31 August 2023 / Published: 6 September 2023
(This article belongs to the Special Issue Feature Papers in Colorant Chemistry)

Abstract

:
Zinc hydroxide nitrate (ZHN) was used as an anionic adsorbent for the removal of methyl orange (MO) dye from aqueous solutions. ZHN was characterized via X-ray diffraction (XRD) and infrared spectroscopy (FTIR) techniques. Investigations were carried out to see how the adsorption of MO was affected by factors such as initial MO concentration, contact time and temperature. Adsorption isotherms were analyzed using the Langmuir and Freundlich equations, with the first one being the better result for the equilibrium data. Adsorption kinetics was studied through applying pseudo-first and pseudo-second-order kinetic models, and the experimental data were better fitted to the pseudo-second-order model. The activation energy was determined using the Arrhenius equation to be 105.45 kJ mol−1, revealing the chemical nature of the adsorption process. The thermodynamic parameters were also determined, showing the adsorption of MO onto ZHN to be a non-spontaneous and exothermic process. The experimental results showed ZHN as a potential adsorbent with adsorption capacity for removing anionic dyes from water medium.

1. Introduction

The disposal of dyes, organic pollutants and inorganic heavy metal ions into the environment from industrial waste effluents without any previous treatment has caused severe environmental problems [1,2].
Effluents contaminated by dyes, if not correctly treated before disposal into rivers, are easily noticeable, even in low dye concentrations. Besides visual pollution, the presence of dyes in water also causes damage in the biological cycle, modifying the ecosystem and mainly affecting the photosynthesis process [3,4,5]. As long as industrial growth and development tend to keep pace with population consumption, this problem becomes even more worrying.
At present, there are many techniques of wastewater treatment, but none of them are completely satisfactory. Among them, adsorption has been an efficient technique for removing dyes from effluents due to its low cost, flexibility, simplicity and easy operation [6]. The adsorption process is defined as the accumulation of a substance (adsorbate) in the interface between the solid surface (adsorbent) and the adjacent solution.
Several adsorbents have been used in adsorption processes, including activated carbon, agricultural wastes, nanomaterials and modified compounds. Layered hydroxide salts (LHSs) are compounds with optimal characteristics related to porosity, large surface area, easy production and low cost [7] to be used as adsorbents in the adsorption process. Another important feature is the possibility of reusing or functionalizing these materials through ion exchange [8].
LHSs are classified as layered compounds with atoms strongly linked by covalent bonds through weak forces of Van der Waals, forming two-dimensional structures [9,10]. LHSs’ layered structure is similar to that of brucite, containing a coordinated interaction between the central metal with hydroxyl groups forming regular octahedron sites with the general formula M2+(OH)x-yBy·nH2O [11,12]. Zinc hydroxide nitrate (ZHN) is an example of a layered structure of the general formula Zn5(OH)8(NO3)2·2H2O, where the intercalated anion is not coordinated directly with the metal.
LHS compounds have been used as precursors of metal oxides with topotactic growth [7], topotactic reaction of divalent cations [13], epitaxial film [14], catalysts for esterification of fatty acids [9], anionic exchangers with properties of selective retention of anions [15], magnetic property materials [16], among others, but there are few studies describing LHS as an adsorbent [17,18].
ZHN compounds are widely studied due to their functional groups that allow the intercalation of chemical species (anions, cations, atoms and macromolecules) between the layers, giving them functional features, such as the transport or storage of energy [19,20].
Methyl orange (MO) is a sulfonated azo dye utilized not only in textile dyeing but also in biomedical applications as a pH indicator. MO and other azo dye metabolites are potentially carcinogenic, teratogenic, mutagenic and very recalcitrant in nature. MO has a complex structure and is difficult to biodegrade when subjected to heat, light, and chemical compounds. As a result, before being released into the environment, MO-containing effluent should be decolorized and detoxified. MO is a common type of carcinogenic anionic azo dye and can be used as a model for studies with azo dyes. Thus, research on MO adsorption is practical and helpful in comparing results from diverse investigations [21,22].
The main purpose of this study was to assess the adsorption potential of ZHN to remove MO from aqueous solutions. Therefore, this study investigated the effects of adsorbent dosage, contact time and thermodynamic and kinetic parameters.

2. Materials and Methods

2.1. Chemicals and Reagents

Zinc nitrate hexahydrate (Zn(NO3)2.6H2O; M.W. 297.49 g mol−1, Synth, 96%) and sodium hydroxide (NaOH; M.W. 40.00 g mol−1, Neon, 97%) were used. MO, used as the adsorbate, is an anionic dye (chemical formula, C14H14N3NaO3S; M.W. 327.33 g mol−1; C.I.13025), with a maximum absorbance peak at λmax = 465 nm and a chemical structure that is shown in Figure 1.
It was obtained from Vetec and used without further purification. A stock solution of MO was prepared by dissolving an accurately weighed amount of MO in distilled water to achieve a concentration of 2000 mg L−1 and was stored in an appropriate flask for further dilution to the required concentrations. All chemicals used in this study were of analytical laboratory grade.

2.2. Synthesis of Zinc Hydroxide Nitrate (ZHN)

The synthesis of ZHN, Zn5(OH)8(NO3)2.2H2O, was carried out using the chemical co-precipitation method at room temperature (25 °C), according to the studies of Cordeiro et al. as follows [11]. Zinc nitrate hexahydrate (23.0 g) was dissolved in distilled water (80 mL, 0.96 mol L−1) under magnetic stirring, and a sodium hydroxide solution (1 mol L−1) was dripped utilizing a peristaltic pump at a speed of 3 rpm. The mixture remained under stirring for 4 h. A precipitate has been formed, washed five times with distilled water to remove the excess of free ions present in the solution, and oven-dried at 70 °C. The product, at a yield of 80%, was characterized via X-ray diffraction (XRD) and Fourier transform infrared (FTIR) spectroscopy.

2.3. Adsorption Experiments

Batch uptake studies were carried out by stirring (450 rpm) 0.1 g of ZHN with 50 mL of unbuffered MO solutions of several different initial concentrations (100 mg L−1 to 1000 mg L−1) prepared from the stock solution of 2000 mg L−1, in 80 mL glass cells. The adsorption study was conducted for three hours at different temperatures (25, 45 and 55 °C) in a thermostated system with an outer circulating water bath. Aliquots of the MO solutions were collected at regular time intervals, diluted, and centrifuged for 10 min at 2000 rpm. The absorbance measurements of the supernatant solutions were analyzed using a UV-vis spectrophotometer using a 1 cm path-length cell at λmax = 465 nm (maximum absorbance). The amount of MO adsorbed by the ZHN during the adsorption process in each time interval t, qt (mg g−1), was calculated using the mass balance equation, given as Equation (1):
q t = ( C 0 C t ) V m
where, C0 and Ct are, respectively, the initial and liquid-phase concentrations of the MO solution (mg L−1) at any time t; V is the volume of the MO solution (ca. 0.05 L); and m is the mass of the ZHN used (ca. 0.10 g).

2.4. Characterizations

X-ray diffraction (XRD) measurements were performed on a BRUKER diffractometer, model D2 PHASER, equipped with Cu Kα radiation (λ = 1.5418 Å) operating at 30 kV and 10 mA. Data were collected in a step scan mode between 5.0° and 20° (2θ) with a step size of 0.2°/s.
Infrared (FTIR) measurements were collected in a Thermo Electron Corporation Nicolet IR 200 spectrometer using dried KBr tablets containing 1 wt% of the samples. The analyses of all samples were performed in the 4000 to 400 cm−1 region with a resolution of 4 cm−1, through accumulating 64 scans.
UV-Vis spectrophotometer of FEMTO 800XI with a 1 cm path-length cell was used to measure the absorbance of the supernatant solutions at 465 nm (maximum absorbance of methyl orange).

3. Results and Discussion

3.1. ZHN and ZHN-MO Characterizations

Figure 2 shows X-ray diffractograms of the ZHN samples before (a) and after (b and c) MO adsorption at different initial adsorbate concentrations at 25 °C.
X-ray diffractogram of ZHN (Figure 2a) shows diffraction peaks at 9.01° 2θ (001) and 18.02° 2θ (002) (tagged with ● in Figure 2). The peak at 9.01° corresponds to the crystalline structure with a basal distance of 9.64 Å. The basal distance was calculated according to the highest-order basal peak of the ZHN diffractogram, and the value is consistent with the ones found in the literature [23].
The X-ray diffractograms of the ZHN-MO samples at two different concentrations in Figure 2b,c show a lower intensity of the peak at 9.01° 2θ angle when compared to the ZHN peak, where the basal distance increased from 9.64 Å to 9.86 Å. The peaks at 7.33° (002), 11.06° (003) and 14.82° (004) (tagged with * in Figure 2b,c) correspond to a new phase present on ZHN-MO. The new phase observed is due to the intercalation of dye molecules in the interlayer space with a basal distance of around 23.9 Å (peak (001)) to ZHN-MO.
The FTIR spectra of MO (a), ZHN-MO (b) and ZHN (c) are shown in Figure 3. The spectrum of ZHN (c) has prominent broad absorption at around 3570 cm−1, attributed to the O-H stretching modes, and 3483 cm−1, related to the stretching vibrations, while 1630 cm−1 is related to the O-H angular deformation of water molecules. The band related to O-H stretching has less intensity in (b) than in (c). In the (b) spectrum, the band related to the angular deformation vibrations of the hydroxyls disappeared, suggesting an ionic exchange of the nitrate ions bounded to these hydroxyls for the dye molecules [24,25].
The FTIR spectra of MO (a) and ZHN-MO (b) present bands at 1207 and 1032 cm−1, corresponding to sulfonate (SO3), a characteristic of the methyl orange functional groups. In Figure 3, the band at 1383 cm−1 in spectrum (c) is characteristic of nitrate ions present on the surface and in the interlayer space of zinc hydroxide nitrate [25,26,27]. This band decreased in (b) due to the partial replacement of the NO3 groups of ZHN by MO molecules, modifying its vibrational mode. The peak at 1520 cm−1 in (b), corresponding to the azo group (N=N), is the main evidence of the interaction of MO with ZHN, not presented in sample (c) of pure ZHN.

3.2. Adsorption Experiments

3.2.1. Effect of Initial MO Concentration

The amount of MO adsorbed at equilibrium and the removal percentage of the dye via adsorption onto ZHN at different temperatures and concentrations are shown in Table 1. More MO was adsorbed by the adsorbent as the initial dye concentration increased, but the removal percentage was lower. This behavior is due to the enhancement of MO’s concentration gradient between the solution and the adsorbent surface, related to the increased initial concentration of adsorbate in the solution acting as a driving force in overcoming mass transfer resistance between the aqueous and the solid phases [28,29,30,31]. On the other hand, the percentage of MO removal was higher at lower dye concentrations. This result is related to the large number of occupied active sites compared with the amount of dye molecules present in the solution. In higher MO concentrations, the solutions promote the fast saturation of the adsorbent.
The equilibrium uptake is an important part of the adsorption study to establish the capacity of an adsorbent to adsorb an adsorbate, taking into consideration the available active sites and the affinity between adsorbent dye in a dynamic balance.
The results obtained from the adsorption equilibrium are essential to calculate thermodynamic parameters, such as changes in enthalpy, entropy and Gibbs’ free energy. These properties, in association with some others, will provide a mechanism for the adsorption of the system.

3.2.2. Effect of Contact Time

The adsorption equilibrium of the adsorbent for a particular adsorbate for different initial dye concentrations at the same temperature is usually dependent on the contact time and increases with the concentration, being an important parameter for the treatment of dye-containing wastewater [28,31]. In order to establish the optimum time for the maximum adsorption of MO onto ZHN, the adsorption process was carefully studied, following the time necessary to reach a constant level for each dye solution concentration and each temperature.
The contact time to achieve the adsorption equilibrium is shown in Figure 4. Hence, it is clear that the rate of MO uptake onto ZHN was more significant during the initial stages, with the maximum equilibrium reached at 60 min for all the initial MO concentrations. The rapid adsorption of dye molecules is due to the large number of free active adsorption sites on the adsorbent and the relatively high concentration of dye molecules in the solution [29,32].

3.2.3. Effect of Temperature

The temperature has a significant influence on the adsorption process of dyes, since it is directly related to the adsorption capacity of an adsorbent. In addition, increasing the temperature can reduce the viscosity of the solution, enabling the diffusion of the adsorbate molecules across the external boundary layer and in the internal pores of the adsorbent [26]. This study gives valuable information about the thermodynamic parameters, like enthalpy, entropy and Gibbs’s free energy changes, associated with the adsorption process [31]. Figure 5 illustrates the effects of temperature on the adsorption of MO for the initial concentration of 400 mg L−1.
The equilibrium adsorption capacity was clearly affected by the temperature (Figure 5). The adsorption of MO decreased from 197.3 mg g−1 (99.5% removal) to 185.8 mg g−1 (94.5% removal) when the temperature was raised from 25 to 55 °C. The decrease in MO removal for the highest temperature indicates not only that the temperature has a significant effect on adsorption, but also that the adsorption of MO onto the ZHN adsorbent surface is kinetically controlled via an exothermic process [29,32,33]. Therefore, the dominant mechanism expected is mainly physical, since, at the highest temperature, the desorption of dye molecules instead of adsorption occurs on the active sites of the adsorbent surface [29,30,31,34].

3.2.4. Adsorption Isotherms

Adsorption isotherms are important for providing valuable insights related to the adsorption mechanism of a system. The adsorption isotherm describes the relationship between the adsorbate molecules adsorbed on the adsorbent surface and the adsorbate concentration remaining in the solution when the adsorption process reaches an equilibrium state. The data to fit the isotherm equations are the amount of adsorbate per mass unit of adsorbent (qe) and the concentration of the adsorbate solution in equilibrium (Ce) at constant temperature [33,35]. The adsorption process was studied through the Langmuir and Freundlich adsorption models.
The linearized Langmuir form [36] is represented by Equation (2):
C e q e = 1 Q K L + C e Q
where qe is the amount of MO adsorbed per weight unit of ZNH (mg g−1); Ce is the equilibrium concentration of MO in the solution (mg L−1); Q is the maximum adsorption capacity of the absorbent for ZNH (mg g−1); KL is the Langmuir constant (L mg−1).
The linearized Freundlich form [37] can be represented as follows (Equation (3)):
ln q e = ln K F + 1 n ln C e
where KF is the Freundlich constant (mg g−1) (L−1 mg)−1/n related to the adsorption capacity and n is an empirical parameter related to the adsorption intensity.
The applicability of the Langmuir or Freundlich models is generally assessed through evaluating the correlation coefficient (r). Table 2 shows a better fit of the experimental equilibrium adsorption data to the Langmuir (r = 0.99548) than to the Freundlich (r = 0.57379) model, which means that the process occurs via the adsorption of molecules to active sites on the adsorbent surface, forming a monolayer. The electrostatic interaction may play a major role in the adsorption between the negative charge of the dye and the positive residual charges of the adsorbent in order to neutralize the surface, instead of the substitution of nitrate groups in the interlamellar space by dye molecules as indicated by the X-ray results [35,37,38].
An important characteristic of a Langmuir isotherm can be expressed through a dimensionless constant separation factor, also called equilibrium parameter (RL), which is related to the feasibility of the adsorption process [29,30,35] and can be expressed as (Equation (4)):
R L = 1 1 + K L C 0
where C0 is the adsorbate initial concentration (mg g−1). The value of RL indicates if the isotherm is unfavorable (RL > 1), linear (RL = 1), favorable (0 < RL < 1) or irreversible (RL = 0). The RL values were found to be 0.00173, 0.000222 and 0.000151 at 25, 45 and 55 °C, respectively, indicating that the adsorption process is favorable.

3.2.5. Thermodynamic Parameters

Thermodynamic parameters are the properties of a system directly linked to the adsorption efficiency of an adsorbent, being related to the effect of the temperature [28,29,30,32]. Standard enthalpy (ads), standard entropy (ads) and standard Gibbs’ free energy (ads) changes can be estimated using Equations (5) and (6):
Δ a d s G o = R T l n K L
l n K L = Δ a d s H o R T + Δ a d s S o R
where R is the gas constant (R = 8.314 J mol−1 K−1); T the absolute temperature; KL is the equilibrium Langmuir constant (L mg−1). Equation (6) provides the enthalpy and entropy changes by plotting ln KL versus T−1 (Figure 6).
The ads e ads values estimated from the slope and the intercept of the straight line passing through the points of the plot of ln KL versus T−1 were −63.77 kJ mol−1 and −218.24 J K−1, respectively. The ads values were 1.27 kJ mol−1, 5.63 kJ mol−1 and 7.81 kJ mol−1 at 25, 45 and 55 °C, respectively.
The negative values of ads e ads indicate an exothermic process and a decrease in the molecular organization of the adsorption process with a reduction in the randomness at the solid/liquid interface. Similar results have been found for different adsorbents and adsorbates [39,40,41,42].
The positive values of ads at all temperatures indicate a non-spontaneous process. Since the ads value is negative, this means that it has a strong influence on the ads values (considering ads is also negative).

3.2.6. Kinetic Parameters

Valuable information about the adsorption pathways and the mechanism of the adsorption process can be obtained through studying kinetics, bringing many insights into treating aqueous effluents. The process involved in the adsorption of MO dye onto ZHN can be investigated using the pseudo-first- [43] and pseudo-second-order [44] kinetic models, Equations (7) and (8).
l n ( q e q t ) = l n q e k 1 t
t q t = 1 k s q e 2 + t q e
where qt and qe are the mass of MO adsorbed (mg g−1) at any time (h), and equilibrium k1 and k2 are the rate constants of a pseudo-first-order (h−1) and pseudo-second-order (g mg−1 h−1) kinetic process. The kinetic parameters k1 and k2 have been determined according to the plots of ln(qe − qt) versus t and t/qt versus t (Equations (7) and (8), respectively). If applicable, the plots should give straight lines evaluated considering the highest correlation coefficient value (r1 or r2). All those parameters are shown in Table 3.
Table 3 shows the values obtained for the pseudo-first and pseudo-second-order kinetic parameters for the system at the three study temperatures. As shown in Table 3, r2 was higher than r1 at the three temperatures, and they were considering all the initial MO concentrations (not shown here), suggesting that the pseudo-second-order model may best describe the adsorption process [34].
The value of the activation energy was obtained using the temperature and rate constants obtained from the pseudo-second-order model through the Arrhenius equation, represented in Equation (9):
l n k s m = l n A E a R T
where ksm is the rate constant obtained in the reaction process, A is the Arrhenius constant, Ea is the activation energy (kJ mol−1), R is the universal gas constant (8.314 J mol−1 K−1) and T is the absolute temperature (K).
The activation energy was obtained through the graph of ln ksm versus T1 (Figure 7) according to Equation (9). The value obtained was 105.45 kJ mol−1, which characterizes a chemisorption process, since values between 5–40 kJ mol−1 are characteristic of physical sorption, while values between 40–800 kJ mol−1 refer to chemisorption [45,46].

4. Conclusions

This study of the removal of methyl orange dye using zinc hydroxide nitrate proved to be efficient, with removals exceeding 90% in some cases. The thermodynamic study indicated an exothermic process, and the overall results were described using the Langmuir isotherm. The values of ∆adsH° = −65.32 kJ mol−1 and ∆adsS° = −223.39 J K−1 mol−1 confirm the exothermic nature of the adsorption process and a decrease in randomness in the interface, while the value ∆adsG° indicates the non-spontaneous process. The overall rate of the sorption process appears to result from a pseudo-second-order mechanism with correlation coefficients higher than 0.96 for all initial concentrations and temperatures. According to the kinetic data, the activation energy was found to have a value of 105.45 kJ mol−1; this value suggests the presence of the formation of chemical bonds between the adsorbate and adsorbent in the monolayer via the chemisorption process, concurrent with an intercalation process of the dye in the interlayer space of the ZHN, as seen in the XRD patterns. Once, MO was a popular form of an anionic azo dye and was thus used as a model for azo dye adsorption research. As a result, it should be possible to remove other azo dyes using adsorptive methods involving zinc hydroxide nitrate. Finally, in the context of removing dyes from aqueous solutions through passivating them in the layered structure of the adsorbent, zinc hydroxide nitrate demonstrated characteristics that place it in a position with the potential to be an alternative material to be studied further in the treatment of effluents and waste containing azo anionic dyes.

Author Contributions

Conceptualization, D.A.d.R.N. and R.M.; methodology, D.A.d.R.N. and R.M.; formal analysis, D.A.d.R.N., C.A.P.A. and R.M.; investigation, D.A.d.R.N., T.M.P.Z. and M.V.M.; resources, C.A.P.A. and R.M.; writing—original draft preparation, D.A.d.R.N., C.A.P.A. and R.M.; writing—review and editing, D.A.d.R.N. and R.M.; visualization, D.A.d.R.N., C.A.P.A. and R.M.; supervision, R.M.; project administration, R.M.; funding acquisition, R.M. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by CAPES [Finance Code 001] and CNPq [Grant Number 455906/2014-9].

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data used to support the findings of this study are included within the article. Should further data or information be required, these are available from the corresponding author upon request.

Acknowledgments

The authors thanks the CCMN (UNICENTRO) for the analysis. D.A.R.N thanks CAPES for the scholarship.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. The chemical structure of MO.
Figure 1. The chemical structure of MO.
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Figure 2. X-ray diffraction patterns of the samples at 25 °C: (a) for the ZHN sample; (b) for the ZHN-MO sample for the initial concentration of 200 mg L−1 (c); for the ZHN-MO sample for the initial concentration of 1000 mg L−1. The ZHN-MO and ZHN phases are represented with * and ●, respectively.
Figure 2. X-ray diffraction patterns of the samples at 25 °C: (a) for the ZHN sample; (b) for the ZHN-MO sample for the initial concentration of 200 mg L−1 (c); for the ZHN-MO sample for the initial concentration of 1000 mg L−1. The ZHN-MO and ZHN phases are represented with * and ●, respectively.
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Figure 3. FTIR spectra of (a) MO, (b) the ZHN-MO sample for the initial concentration of 1000 mg L−1 and (c) ZHN.
Figure 3. FTIR spectra of (a) MO, (b) the ZHN-MO sample for the initial concentration of 1000 mg L−1 and (c) ZHN.
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Figure 4. Effect of contact time on the adsorption of MO onto ZHN at three different initial MO concentrations at 25 °C.
Figure 4. Effect of contact time on the adsorption of MO onto ZHN at three different initial MO concentrations at 25 °C.
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Figure 5. Effect of temperature on the adsorption of MO onto ZHN for a solution initially containing 400 mg L−1 of MO as a function of time.
Figure 5. Effect of temperature on the adsorption of MO onto ZHN for a solution initially containing 400 mg L−1 of MO as a function of time.
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Figure 6. Van’t Hoff plot for the adsorption of MO onto ZHN.
Figure 6. Van’t Hoff plot for the adsorption of MO onto ZHN.
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Figure 7. Arrhenius plot for MO adsorption from aqueous solution onto ZHN.
Figure 7. Arrhenius plot for MO adsorption from aqueous solution onto ZHN.
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Table 1. Mass of MO adsorbed and percentage of removal at equilibrium by ZHN.
Table 1. Mass of MO adsorbed and percentage of removal at equilibrium by ZHN.
T (°C)Initial Concentration of MO in mg L−1 (C0)
1002003004005006007008009001000
Amount of MO Mass Adsorbed by ZHN in mg g−1 (qe)
2549.997.2148.0197.3243.1280.4288.4361.5413.2413.2
4549.199.0148.8198.0247.9296.4336.0357.4405.2431.6
5548.396.0144.8185.8240.3240.3299.1301.9316.1346.4
Percentage of Removal of MO by ZHN (%)
2599.499.499.899.598.597.598.994.391.291.3
4597.899.099.199.599.499.398.697.296.790.8
5596.996.096.194.596.192.891.975.572.671.2
Table 2. Langmuir and Freundlich parameters.
Table 2. Langmuir and Freundlich parameters.
T (°C)LangmuirFreundlich
KL
(L mg−1)
Q
(mg g−1)
r1/nKFr
(L g−1)
250.576333.30.970630.297101.9550.80239
450.111500.00.985970.34890.3570.66985
550.054357.10.995480.38452.5580.57379
Abbreviations: KL—constant of the theoretical adsorption capacity in the monolayer; Q—constant related to adsorption energy; KF—Freundlich constant related to adsorption intensity; n—constant related to the adsorption intensity; r—linear correlation factor.
Table 3. Kinetic parameters of removal of MO from aqueous solution by ZHN at temperatures of 25, 45 and 55 °C.
Table 3. Kinetic parameters of removal of MO from aqueous solution by ZHN at temperatures of 25, 45 and 55 °C.
T (°C) Pseudo-First-OrderPseudo-Second-Order
qexp
(mg g−1)
k1
(min−1)
qcalc
(mg g−1)
r1k2
(g mg−1 min−1)
qcalc
(mg g−1)
r2
25413.21−4.1563.910.3720.122411.520.999
45405.220.04−0.4530.7900.040429.180.999
55316.110.15−0.8580.8230.050320.510.996
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MDPI and ACS Style

Nogueira, D.A.d.R.; Zanela, T.M.P.; Machado, M.V.; Almeida, C.A.P.; Marangoni, R. Adsorption Process of Methyl Orange Dye onto Zinc Hydroxide Nitrate: Kinetic and Thermodynamic Studies. Colorants 2023, 2, 565-577. https://doi.org/10.3390/colorants2030028

AMA Style

Nogueira DAdR, Zanela TMP, Machado MV, Almeida CAP, Marangoni R. Adsorption Process of Methyl Orange Dye onto Zinc Hydroxide Nitrate: Kinetic and Thermodynamic Studies. Colorants. 2023; 2(3):565-577. https://doi.org/10.3390/colorants2030028

Chicago/Turabian Style

Nogueira, Daiane Amaral de Ramos, Tânia Marina Palhano Zanela, Monielly Viomar Machado, Carlos Alberto Policiano Almeida, and Rafael Marangoni. 2023. "Adsorption Process of Methyl Orange Dye onto Zinc Hydroxide Nitrate: Kinetic and Thermodynamic Studies" Colorants 2, no. 3: 565-577. https://doi.org/10.3390/colorants2030028

APA Style

Nogueira, D. A. d. R., Zanela, T. M. P., Machado, M. V., Almeida, C. A. P., & Marangoni, R. (2023). Adsorption Process of Methyl Orange Dye onto Zinc Hydroxide Nitrate: Kinetic and Thermodynamic Studies. Colorants, 2(3), 565-577. https://doi.org/10.3390/colorants2030028

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