Introduction

Cellulose, hemicelluloses, and lignin are the main components of wood. Cellulose is a polymer consisting of d-glucopyranosyl units. Hemicelluloses are a mixed group of both linear and branched sugars heteropolymers. Lignin is an amorphous, aromatic, water-insoluble, heterogeneous, three-dimensional, and cross-linked polymer. Wood has also other minor components named as extractives, as they are easily extracted by water or solvents. One of the usual processing of wood for printing paper production is the alkaline sulfite pulping process, in which wood chips are impregnated with sodium hydroxide and sodium sulfite (pH 9–10), and they are subsequently mechanically refined. This treatment, named as chemimechanical process, combines chemical action prior to mechanical action. Since the chemical charge and the organic dissolved matter is not enough as to implement a chemical recovery system, diluted spent liquors are generally treated in the effluent system [1,2,3,4,5].

Advanced Oxidation Processes (AOP) have proved to be interesting options to degrade or mineralize hazardous compounds present in this kind of effluent. These processes differ from each other in the source of radicals HO·, which is their main feature. Hydroxyl radicals (HO·) present high reactivity and low selectivity during oxidation [1], [6,7,8,9].

Classical Fenton was developed in the 1890s and consists of iron species combined with hydrogen peroxide to oxidize organic matter [10]. Iron catalysts require strong acidic conditions (pH < 4) to avoid leaching and sludge formation. On the contrary, the copper-based catalyst can work within a broad range of pH and offer good operational stability, so they are an excellent choice for the degradation and oxidation of organic recalcitrant matter [11] (see Table 1).

Table 1 Summary of several copper-based systems which have been used in oxidation reactions

Heterogeneous catalysts use solid supports to deposit the active phase which activates the H2O2, thereby avoiding the complexity and economical cost of separate the catalyst from the reaction medium. Among the possible options, mesoporous γ-Al2O3 presents high surface area and strong interactions active phase-support. As support of CuO particles, it minimizes copper ions leaching into the reaction medium [23,24,25].

No information has been found regarding the application of the system CuO/γ-Al2O3-H2O2 on effluents from the industrial alkaline sulfite treatment of wood, known as chemimechanical pulping. As these processes do not have a chemical recovery system, spent liquors are generally discharged into the receiving body. The catalytic oxidation of mixed recalcitrant compounds in industrial effluents is unusual because of the complexity of the effluents and the high costs involved in the total mineralization of the organic matter. Nevertheless, the conversion of recalcitrant to easily degradable compounds and the recovery of the catalysts can make the difference. Therefore, the study of the behavior of the industrial effluent with this oxidative system and the determination of the kinetic parameters for its application is a key step for the subsequent design of a treatment plant.

The amount and complex nature of compounds formed as intermediates during the oxidation process make extremely difficult the identification and quantification of the individual reactions produced during oxidation. The aim of this work was to propose a kinetic model for the reactions involved in the heterogeneous copper-based Fenton-type oxidation of mixed recalcitrant compounds in an industrial effluent from the alkaline sulfite treatment of wood, using Total Organic Carbon (TOC) as representative of the quantitative evolution of organic matter throughout oxidation.

Homogeneous systems are more efficient in the oxidation of compounds because of the single phase [26], [27]. Studying this system allows to know the maximum conversion (always considering that metal species are different in both systems) and to check for mass transfer resistance as result of the introduction of another phase. Homogeneous copper-based oxidations were, therefore, analyzed to verify the catalyst effect on the oxidation rate and to evaluate eventual mass transfer limitations because of the heterogeneous system.

Adsorption on the support as result of attractive forces is always possible [28], so it is also important to verify whether TOC reduction is only produced by oxidation or if there is any adsorption component, and how it varies at different temperature and pH conditions.

Materials and methods

Industrial effluent

The study involved a pulp and paper integrated mill, “Papel Prensa S.A.”, located in San Pedro, Argentina, which produces 132,000 ton/year of soda-sulfite chemimechanical pulps from a mixture of willows, poplar, and eucalyptus, and recycled newspaper. The effluent of the mill comprises several streams: (1) liquid waste from deinking plant; (2) water from wood treatment; (3) black liquor from the chemical treatment of wood (pH 7–8, deep red color, mainly composed of extractives and lignin derived from the product of the chemical reaction between wood and pulping liquor); (4) effluent from chemimechanical pulp washing; (5) effluent from the bleaching plant; (6) white water from the paper making section. As stream 3 contains the highest polluting load, this work was performed simulating the effluent with dilutions of spent liquor 3), using a liquor/water ratio of 1/50. The liquor was stored in plastic containers and it was used without filtration. The temperature of this real effluent in the point of the treatment is about 60–70 °C.

Synthesis and characterization of supported catalysts

Commercial γ-Al2O3 (SASOL) pellets (1.8 mm in diameter and 200 m2/g of surface area) were used as support and were impregnated using an aqueous solution of Cu(NO3)·2.5H2O (Riedel-de Haën, p.a.) as precursor. The incipient wetness impregnation method comprises mixing the support with an aqueous solution containing an appropriate amount of salt so that, after calcination, the catalyst contains the required metal content. The volume of the prepared solution is equal or slightly smaller than the pore volume of the support. The maximum load is limited by the solubility of the precursor in the solution. Solids were air dried for 24 h, oven dried during 24 h at 120 °C, and finally calcined during 4 h at 900 °C in air atmosphere.

The support and the catalysts were characterized using the following techniques: Surface areas were calculated from N2 adsorption isotherms at − 196 °C. Oxide structures and cluster size of the synthesized metal oxides supported on alumina were determined by techniques of powder XRD. The main peaks corresponding to the aluminum oxide (gamma phase) are 2θ = 66.7° (100), 46.1° (80), 37.4° (60), and 39.7° (30). The surface morphology and elemental composition of the catalysts were examined by means of a scanning electron microscope (SEM) and by energy dispersive X-ray spectroscopy (EDS).

The organic matter removal from the used catalysts was accomplished by Thermogravimetric Analysis, the measurements were carried out from 25 to 900 °C under air current (20 mL/min; 10 °C/min). The nature of carbonaceous deposits was explored by Fourier-transformed infrared spectroscopy and recorded over the spectral range 4000–600 cm−1. Solid samples were prepared by the KBr pellet method.

Fenton-type oxidations and adsorption trials

The stoichiometric H2O2 concentration respect to the Chemical Oxygen Demand (COD) value was 1.98 g/L. It was calculated assuming complete mineralization of COD to CO2 and H2O. The theoretical amount of hydrogen peroxide estimated for total TOC oxidation is 2.43 g/L. The studied initial doses of H2O2 were: sub-stoichiometric I (1.78 g/L; H2O2:COD ratio of 0.9:1), over-stoichiometric II (2.43 g/L; H2O2:COD ratio of 1.2:1), and over-stoichiometric III (3.54 g/L; H2O2:COD ratio of 1.8:1).

A PYREX glass batch reactor of 250 mL with a glass stopper equipped with a condenser, a thermocouple, and pH meter was used. To minimize external mass transport effects, experiments were carried out with a high-speed stirring. Testing was performed in contact with air, at atmospheric pressure. The reaction volume was 100 mL.

Heterogeneous experiments were conducted using catalyst pellets. Initial time was recorded when the catalyst was added to the liquid inside the batch reactor, and the system reached the reaction temperature. Time zero was recorded when H2O2 was added, initiating the oxidation reaction.

A series of preliminary tests (blank trials) were carried out with the effluent and the support to be used for the preparation of the catalyst (γ-Al2O3 + H2O2 + industrial liquor; H2O2 + industrial liquor; γ-Al2O3 + industrial liquor). Due to the lack of background of the Fenton-type treatment for the oxidation of this kind of industrial liquor, the presence and/ or the influence of non-catalytic processes such as adsorption onto γ-Al2O3 were analyzed. In addition, the thermal decomposition of the liquor was analyzed under extreme temperature conditions (80–85 °C).

Adsorption studies of the industrial liquor-CuO/γ-Al2O3 system were also performed without hydrogen peroxide addition.

Homogeneous oxidations were performed with 0.0365 g of Cu(NO3)·2.5H2O (Riedel-de Haën, p.a.), equivalent to 100 ppm of supported copper used in heterogeneous reactions.

Liquid samples of 2.5 mL were taken according to appropriate time intervals and were immediately analyzed. Total oxidation time was 240 min. The analyzed response throughout the reaction was the percentage of total organic carbon reduction (TOC % reduction).

Analytical methods

Solids were determined according to Tappi T629. The inorganic content was assessed by determining the ashes at 525 °C according to Tappi T211. The color of the effluent was measured by the absorbance at 450 nm (TECHCOMP spectrometer). COD was measured following the technique SM 5220-B (Standard Methods for the Examination of Water and Wastewater, 17th edition). Organic acids and peroxide consumption during the reaction, were quantified by HPLC (Waters Corp. Massachusetts, USA) using an Aminex-HPX87H column under the following conditions: 4 mM H2SO4 as eluent, flow rate of 0.6 mL/ min, 35 °C, and UV Diode Array detector (organic acids at 210 nm and aromatic compounds at 254 nm). Total Organic Carbon (TOC) technique was used to measure the organic compounds, using a TOC analyzer (Shimadzu, TOC-VCPN model).

Kinetic study of Fenton-type reactions

The rate and the order of the heterogeneous catalytic oxidation reactions were obtained using the linear form of “n” order reactions. The order of the reaction was determined by fitting the equations to the experimental data, verifying the coefficient of determination (R2). Statgraphics software was used for curves fitting.

Results and discussion

Effluent characterization

Initial TOC and COD of the simulated effluent were 433 mg/L and 931 mg/L, respectively. The main characteristics of the industrial spent liquor are shown in Table 2.

Table 2 Chemical characteristics of the spent liquor

The hardwood mixture used by the mill is characterized by their extractives rich in hydrolyzable tannins, condensed tannins, flavonoid-based steroids (some esterified with fatty acids) and triterpenes. The industrial effluent contains sugars, low molecular weight polyoses, and several recalcitrant compounds to microbiological treatment. COD of stream 3 is composed mainly of aromatic derivatives from extractives and labile lignin fractions, and acetic acid, most of them with unknown chemical structure [1].

Catalyst characterization

The analysis of X-ray diffraction (Fig. 1) of calcined CuO/γ-Al2O3 catalyst (before and after reaction) revealed only the presence of the characteristic peaks of the γ-Al2O3 phase, probably due to the low concentration of impregnated active phase and its good dispersion onto the support [29]. Despite the high calcination temperatures, the effects of sintering by the thermal treatment were negligible, evidenced by the final BET area of the homemade catalyst (170 m2/g). The composition of the prepared catalyst via spectrometry and energy dispersive X-ray determined by surface mapping and as the average of 330 points from the surface to the center of the pellets is shown in Fig. 2. Active phase remained almost constant through all the distance, indicating a uniform distribution of copper species [30]. This diffusion of active species to inner zones of the support is probably a consequence of the high calcination temperature [31]. According to Fig. 2, the average pore size is nearly identical to the alumina support, indicating adequate diffusion of copper species.

Fig. 1
figure 1

XRD pattern for the catalyst used in the kinetic study (Ox1 to Ox 9 are defined bellow in Table 3)

Fig. 2
figure 2

SEM (×2500) image, EDS spectra and surface mapping of a. γ-Al2O3 and b. CuO/γ-Al2O3 catalyst

Kinetic study of TOC evolution by heterogeneous oxidation

The control trials performed showed a negligible TOC conversion (less than 0.3% of conversion in all trials), therefore, there is no adsorption mechanism onto the catalytic support. No thermal decomposition of the liquor was verified (evidenced by the negligible TOC and COD reduction of the liquor). Catalyst mass and active phase content were analyzed in a previous work through an experimental design, to find their impact on TOC and COD reductions. Between the two tested points, the catalyst mass did not have a significant effect on TOC and COD reduction, and the higher active phase tested showed better performance in oxidation trials [32], then, 0.5 g/L of 2.5% CuO/γ-Al2O3 were used.

The identified species in the chemimechanical black liquor (such as acetic acid, oxalic acid, sulfur compounds, sodium carbonate and other salts) [4], [5] are recalcitrant and interfere the Fenton oxidation process [33], avoiding a total mineralization [34], [35]. As complete mineralization would be then very expensive to achieve, the intention of this work was to reduce the organic content of the effluent (not its complete elimination), allowing the application of this process at the mills. As a consequence, initial doses of H2O2 were applied considering the feasibility of reducing costs.

The reaction temperature and H2O2 concentration are critical issues in Fenton and Fenton-type reactions [36], [37]. Since the oxidant reagent depletion is one of the main factors that influences oxidation efficiency, oxidation reaction conditions for the kinetic study were analyzed in terms of hydrogen peroxide consumption trough the “η parameter” used by several authors [38], [39]. It is defined here as the reagent consumption, considered as the amount of TOC (mg/L) and COD (mg/L) converted per unit of consumed H2O2 (g/L).

Substantial amounts of hydrogen peroxide were still present at the end of the experience at low temperature, reflecting a slow formation of radicals with the concomitant low reductions of TOC and COD (Fig. 3). On the contrary, high temperatures contribute to a faster copper-catalyzed conversion of H2O2 into radicals, which enhances black liquor oxidation degree, evidenced by high TOC and COD conversions [38].

Fig. 3
figure 3

η parameter” at different temperatures and H2O2 doses

The percentage of lixiviated copper was also reported in Fig. 3. Some authors state that the reactivity of the compounds to be treated is the main cause of leaching in heterogeneous reactions [40]. The optimum pH to prevent Cu from leaching from the support is close to neutrality [11] [41], Since the pH of the reactions oscillates between 6 and 7, it is possible that leaching is a consequence of the compounds reactivity. The catalytic reactions could have some homogeneous contributions if the leached copper is still catalytically active. According to Fig. 3, a strategy to reduce leaching is to increase the severity of the conditions of reaction, which also prevents the accumulation of compounds on the surface of the catalyst. This is a plausible option since unproductive reactions were not verified in the working conditions as the use of H2O2 was still efficient and the analyzed parameters (for example, COD) decreased. However, as the effect of copper leaching on the heterogeneous kinetic analysis was out of the scope of this study, homogeneous catalysis contributions are not going to be taken into account when determining heterogeneous kinetics models. Leaching of copper and its influence on TOC, COD and H2O2 reduction, are subject of a future work.

According to TOC evolution with time, two different tendencies of TOC depletion were found (Fig. 4): (1) An abrupt decrease up to 0.1 min (named “seconds stage”); (2) A smooth decrease from 0.1 to 240 min (named “minutes stage”).

Fig. 4
figure 4

TOC evolution at different reaction temperatures (45, 70 and 80 °C) and initial H2O2 concentration (1.78, 2.43 and 3.54 g/L)

This mechanism probably indicates that the “seconds stage” corresponds to higher-order kinetics, and/or other reaction mechanisms take place [42]. The “two-step kinetic model” [43] which can be applied to TOC reduction, admits two sequential steps of oxidation, suggesting that reactions should be responsible for TOC degradation [44]. The reactions could be represented as follows:

$$A + H_{2} O_{2} \mathop \to \limits^{{k_{ss} }} B$$
(1)
$$B + H_{2} O_{2} \mathop \to \limits^{{k_{ms} }} C$$
(2)

Where unstable species easily oxidized are named as A, pollutants that are difficult to oxidize are designed as B, the desired final products (CO2 and H2O) are commonly referred as C; kss and kms correspond to the “seconds stage” and the “minutes stage” kinetics constants, respectively.

As can be seen in Fig. 4, the rapid decrease in TOC concentration observed within the first 0.1 min approximately is so fast that would require specialized equipment and a more exhaustive analysis, to determine the order and the exact mechanism of the reaction.

TOC reduction during the first 0.1 min is a direct consequence of the severity of the initial conditions. The decrease during the first 0.1 min is attributed to the oxidation of extremely easily oxidizable compounds present in the black liquor. The same trend is observed during tests in homogeneous phase (discussed below). Unlike what happens in the oxidation reaction, this trend is not observed during the adsorption process (reaction without H2O2), so this TOC decrease should not be attributed to the adsorption of organic compounds on the catalyst surface (also discussed below).

This “two-step” kinetic behavior was also observed by other authors [45], who found that the kinetics of COD removal in a real stream (mix of several compounds) by heterogeneous Fenton oxidation presents an initial abrupt decrease of COD, followed by a smooth one. The “seconds stage” oxidation rate is fast probably due to the great availability of active sites in the catalyst [46]. The critical aspect of heterogeneous systems probably is the reaction between H2O2 and supported copper (Fig. 5). At the beginning of the reaction, all active sites on the surface are available, so HO· production and oxidation of the recalcitrant compounds occurs fast [47]. As the oxidation proceeds, the reaction in the pores is partially blocked, as evidenced by the slow reaction rate in the “minutes stage”.

Fig. 5
figure 5

Adapted from [22], [47]

Proposed mechanism of the oxidation reaction between H2O2 and supported copper

Considering TOCA as the initial TOC value, TOCB represents its value immediately after the “seconds stage”.

Simple regression models for the “seconds stage” were tested to determine TOCB dependence of the reaction conditions for each experimental point. TOC reduction was found to obey the following equation, where “Temp” is the working temperature, and “[H2O2]0” is the initial concentration of hydrogen peroxide (R2: 0.982):

$${\text{TOC}}_{B} = \frac{1}{{\left( {2.21*10^{ - 3} + 1.13*10^{ - 6} *{\text{Temp}}*\left[ {{\text{H}}_{ 2} {\text{O}}_{ 2} } \right]_{0} } \right)}}$$
(3)

Figure 6 compares the experimental and predicted TOC values from the “seconds stage”, confirming the validity of the model.

Fig. 6
figure 6

Parity plot for TOC in the “seconds stage”. The bars correspond to the experimental values, and the dotted lines correspond to the values calculated with the model

Time-concentration curves for TOC reduction obtained for the oxidation reactions in the “minutes stage” period were fitted to potential models to obtain kinetic equations. In all cases, the oxidation rates can be described by pseudo-zero order kinetics. This kinetic model was observed at catalyst surface saturation by the reactants [48] and suggests that the rate of reaction in this study does not vary with the concentration of organic components.

Since the oxidation kinetics of the studied effluent corresponds to a pseudo-zero order model, some assumptions are needed to develop the kinetics analysis. It is assumed that HO· concentration reach a virtually constant value [49], that is, HO· concentration is considered in a pseudo steady-state condition [50]. The global kinetic of the reaction can be represented as follows:

$$- \frac{{{\text{d}}C}}{{{\text{d}}t}} = - r = k_{OH} \left[ {{\text{HO}} \cdot } \right] = k$$
(4)

Where “C” represents the concentration of TOC species in Eq. (2), “r” is the reaction rate, “kOH” is reaction kinetic rate constant and “kms” is the apparent pseudo-zero order kinetic constant.

Thus, the kinetic reaction for the “minutes stage” can be represented as (the parameter \(R_{{H_{2} O_{2} }}\) in the following equation is defined bellow, in Eq. 6):

$$- r_{{{\text{TOC}}_{C} }} = - \frac{{{\text{dTOC}}_{B} }}{{{\text{d}}t}} = \frac{{k_{\text{ms}} }}{{R_{{{\text{H}}_{ 2} {\text{O}}_{ 2} }} }}$$
(5)

To assess the feasibility of reducing the treatment cost by reducing the H2O2 charge, a committed relationship between the maximization of H2O2 efficiency and the highest possible levels of TOC conversion was sought (Fig. 2). \(R_{{H_{2} O_{2} }}\) can be defined as the ratio between the working hydrogen peroxide concentration “[H2O2]0.Work” and the over-stoichiometric concentration III “[H2O2]0 Over-stochiometricIII”, as:

$$R_{{{\text{H}}_{ 2} {\text{O}}_{ 2} }} = \frac{{\left[ {{\text{H}}_{ 2} {\text{O}}_{ 2} } \right]_{{ 0 {\text{Work}}}} }}{{\left[ {{\text{H}}_{ 2} {\text{O}}_{ 2} } \right]_{{ 0 {\text{Over - stochiometric III}}}} }}$$
(6)

The final kinetic expression can be obtained from the integration of the Eq. (5) as follow:

$${\text{TOC}}_{\text{C}} = {\text{TOC}}_{\text{B}} - \frac{{k_{\text{ms}} }}{{R_{{{\text{H}}_{ 2} {\text{O}}_{ 2} }} }}*{\text{time}}$$
(7)

Where TOCB is the initial Total Organic Carbon of the minutes stage, and TOCC is the final Total Organic Carbon at a certain time. Since this model does not discriminate between the refractory pollutants (mainly acetic acid) and oxidizable compounds in the initial mixture, the remaining TOC along the reaction is due to the presence of both.

Percentages of TOC reduction after 240 min of oxidation and kinetic constants of the respective equations at different experimental conditions are shown in Table 3. All catalytic reactions were accomplished without pH adjustment to record the natural tendency of the catalyst system. The pH values of the oxidation reactions were close to 7.3 in all cases, possibly due to both the recalcitrance of liquor compounds and to the interference of acetic acid and oxalic acid (presents as sodium salts), sulfur compounds, sodium carbonate and other salts on Fenton oxidation.

Table 3 TOC reduction after 240 min of reaction and experimental kinetic constants of the “minutes stage” reactions for each experimental condition

The Arrhenius expression, showing the relationship between the reaction temperature and the specific kinetic rate is expressed as follows:

$$k = A{\text{e}}^{{\left( { - \frac{E}{{R * {\text{Temp}}}}} \right)}}$$
(8)

Where

k” is the kinetic rate constant (mg/L min).

A” is the Arrhenius factor (mg/L min).

E” is the Arrhenius activation energy (J/mol).

R” is the gas constant (8.314 J/mol K).

“Temp” is the temperature of reaction (absolute).

Arrhenius activation energy indicates the minimum energy that the reactants must have for the reaction to proceed. It can also be interpreted as the energy barrier that molecules must overcome to transform reactants into products. For these oxidation processes the activation energy “E” resulted to be 33.17 kJ/mol, obtained by plotting (\({ \ln }\;k_{\text{ms}} /R_{{{\text{H}}_{ 2} {\text{O}}_{ 2} }}\)) vs (\(1/{\text{Temp}} \left( K \right)\)) (R2:0.904).

The kinetic constant can be obtained from the experimental data as a function of the operating temperature by plotting kms vs Temp (K) (R2:0.999), confirming that the process is governed by the Arrhenius law:

$$k_{\text{ms}} = 2*10^{ - 6} * {\text{e}} ^{{0.0356*{\text{Temp}}\left( K \right) }}$$
(9)

The relationship between experimental and predicted TOC values from the “minutes stage”, confirm the validity of the model, as shown in Fig. 7.

Fig. 7
figure 7

Parity plot for TOC in the “minutes stage”. The bars correspond to the experimental values, and the dotted lines correspond to the values calculated with the model

The kinetic constants of the simulated effluent degradation are significantly affected by temperature and [H2O2]0, being higher at high values of these two parameters (Table 3). As the applied thermal energy increases, the rate of reaction increases according to the Arrhenius law. In these conditions, diffusion of reactants to active sites of the catalyst and diffusion of product from the active sites back to the reaction medium are favored [51], [52]. The increase in rate constants with [H2O2]0 suggests that the percentage of TOC removal increases with the ratio H2O2:COD, due to the additional generation of HO· radicals [53]. No scavenging effect of HO· was observed by H2O2 in all the studied range.

A set of experiments were carried out to determine the effect of catalyst load in the heterogeneous system. The surface rate constant (ksuf) can be obtained from the ratio between the apparent rate constant for the minutes stage (kms) and the surface area of the catalyst [52].

$$k_{\text{suf}} = \frac{{k_{\text{ms}} }}{{{\text{SA}}_{v} }}$$
(10)
$${\text{SA}}_{\text{v}} = {\text{SA}}*C_{\text{Cu}}$$
(11)

Where:

“SAv” is the catalyst surface area (m2/L).

“SA” is the specific surface area (m2/g).

CCu” is the copper content.

The values of kms were proportional to copper oxide concentrations in the reaction mixture and increased linearly with the increase of catalyst concentration: ims: 5.39 10−04 for 0.1 g/L; kms: 6.76 10−04 for 0.3 g/L; and kms: 6.76 10−04 for 0.5 g/L. Final TOC as function of the amount of catalyst at 70 °C and H2O2 over-stoichiometric II concentration (as defined in II) correspond to: 379.9 mg/L, 359.0 mg/L, and 336.7 mg/L, respectively.

The long-term stability was analyzed in a series of five consecutive reactions, without thermal treatment between reactions (performed at 70 °C and over-stoichiometric II concentration of H2O2). The catalysts used were filtered from the reaction medium (at the working temperature to prevent re-adsorption of compounds) and dried at room temperature during 24 h. TOC and H2O2 concentration (in % of reduction) at the end of each catalytic test can be seen in Fig. 8. Throughout the five cycles of oxidative treatment, a small induction phase was observed, which was more noticeable during the consecutive treatments. According to Fig. 8, the catalyst remains catalytically active, with respect to the elimination of TOC and the efficient consumption of the oxidizing agent.

Fig. 8
figure 8

TOC reduction and H2O2 consumed in five consecutive oxidation cycles

TOC reduction by homogeneous oxidations

In homogeneous catalysis, the catalyst is the same phase that the organic matter to oxidize. In these systems, the highest possible conversion of TOC can be found. Homogeneous and heterogeneous oxidation rates and activation energies were then compared to see the efficiency of the studied heterogeneous system.

As in heterogeneous oxidations, the variation of total organic carbon versus time can be divided into two stages: the first, in which TOC decreases abruptly (from 0 up to 0.1 min of reaction), and the second, in which it decreases smoothly (from 0.1 min until the end of reaction time). The time-concentration curves for the second stage were fitted to a pseudo first-order kinetic model. Several authors have also found a “two-step” kinetic in the homogeneous oxidation of real effluent streams (a fast first stage followed by a slower second stage) [49], [44].

Activation energy in homogeneous experiments resulted to be 15.13 kJmol−1 (R2: 0.985). From the comparison of heterogeneous and homogeneous catalytic oxidations (see Fig. 9 and Table 3), it was confirmed that the reaction rate of heterogeneous oxidations was lower than that observed for the homogeneous ones, whereas the activation energy was higher, with the concomitant lower TOC conversion values. The results agree with those obtained by other authors [26], [54,55,56] and may be due to the reduced accessibility of H2O2 to copper, as the active phase is supported on γ-Al2O3.

Fig. 9
figure 9

Heterogeneous vs. Homogeneous oxidations (100 ppm of copper supported on γ-Al2O3 and in solution respectively, over-stoichiometric II doses of H2O2 in all trials)

Estimation of TOC reduction by adsorption

Adsorption experiences were accomplished to verify possible adsorption contributions during the oxidation reactions. The adsorption of the simulated effluent components onto the CuO/γ-Al2O3 catalyst was evaluated by analyzing the system behavior at different pH and temperatures in absence of H2O2.

A set of experiments were carried out at 70 °C to analyze the relationship between the system pH and the adsorption of organic compounds over γ-Al2O3 (see Table 4). Trials were made as a function of the point of zero charge (PZC) of γ-Al2O3 (7-9), corresponding to the pH at which its surface is neutral [57], [58]. The pH of the experiments was controlled by adding H2SO4 or NaOH to the reaction volume; since γ-Al2O3 tends to dissolve in strong systems (either acidic or basic), these trials were performed within a pH range that was kept between 3 and 10.

Table 4 TOC reduction after 240 min of reaction and experimental kinetic constants for the adsorption reactions

At pH values lower or higher than the PZC, the surface is increasingly protonated or deprotonated, respectively [59]. Because negligible adsorption over the catalyst was verified at pH 8 it can be presumed that this pH value might correspond to the PZC of CuO/ γ-Al2O3 system (see Table 4). Nevertheless, when initial pH was adjusted to 3 TOC reduction was higher than at pH 7. When initial pH increased to 7, the adsorption performances exhibit a continuous decreasing tendency along with the rise of pH, probably due to electrostatic attraction (Table 4) [60]. The spent liquor from the alkaline treatment of wood behaves as an anionic stream, which is easily adsorbed on the active sites of the alumina surface, highly protonated at low pH [61]. On the contrary, the adsorption is less favored at high pH because of the great amount of OH- ions in alumina surface [62]. In this conditions, more active sites at the surface are available for the catalyzed decomposition of H2O2 [63]. As oxidation trials in this study were carried out at near neutral pH, adsorption by pH effect can be considered as negligible.

The effect of temperature on the adsorption of organic matter of the simulated effluent onto the CuO/γ-Al2O3 system was studied by carrying out temperature-controlled experiments (45, 70 and 80 °C). The percentage of TOC removal decreased with increasing temperature (Table 4), evidencing an exothermic process [64], [65]. Some authors argue that molecules tend to pass from the solid phase to the bulk phase when increasing temperature [66]. The amount of adsorbed compounds increased during the 240 min of reaction (no plateau was observed), so saturation of catalyst surface was not reached under the studied conditions.

The amount of adsorbed organic compounds (q, mg/m2) was calculated by the equation:

$$q = \frac{{\left( {{\text{TOC}}_{ 0} - {\text{TOC}}} \right)*V}}{{C_{\text{Cu}} *{\text{SA}}}}$$
(12)

Where TOCo is the initial concentration of total organic carbon in solution, TOC (mg/L) is the concentration at a specific time and V (L) is the volume of reaction (Table 4). The time-concentration curves for the adsorption experiments were fitted to a pseudo first-order kinetic model. The magnitude of the activation energy indicates whether the adsorption is mainly physical (5–40 kJ/mol) or chemical (40–800 kJ/mol) [67], [68]. TOC depletion due to adsorption processes was best described by a pseudo first-order kinetic model and the activation energy resulted to be 7.32 kJ/mol (R2: 0.941), which confirms the nature of physisorption onto the CuO/ γ-Al2O3 surface.

Oxidation experiments were carried out assuming that TOC decreased only by an oxidation mechanism, that is, without considering an eventual adsorption of organic compounds on the catalyst. The veracity of this assumption was assessed by the thermogravimetric characterization of catalysts from all trials. The TGA profiles (Fig. 10) showed two main steps: the release of pre-adsorbed water (near 150 °C) and the loss of reversible carbonaceous deposits (near 500 °C) [69]. In case of oxidations trials (Ox 1 to Ox 9), a mass loss of nearly 1% was registered (in the range of 400–600 °C). Thermogravimetric curves show an increase in mass loss according to the experimental conditions described previously.

Fig. 10
figure 10

TG curves for used catalysts in the oxidation trials

Catalysts used in all adsorption trials were characterized by FTIR to determine the nature of adsorbed organic compounds (see Fig. 11). The shoulder at 833 cm−1 indicates the presence of γ-Al2O3 [70]. Bands around 1618 cm−1 are probably due to the combination of aromatic C=C and conjugated carbonyl C=O stretching [51]. The amount of adsorbed compounds decreases as the pH increases, which is evidenced by the reduction in the intensity of the bands. This effect agrees with results presented in Table 4 (Ads 1 to Ads 5). Temperature effect over the amount adsorbed compounds onto the catalyst (Ads 3, 6 and 7) was in accordance with the experimental conditions described previously. Bands around 2300 cm−1 correspond to CO2 due to atmospheric carbon dioxide that could be removed from the spectra [71]. Samples after calcination present O–H stretching vibration evidenced by the bands around 3430 cm−1 representing a strong hydrophilicity [60].

Fig. 11
figure 11

FTIR spectra of CuO/γ-Al2O3 catalyst, used in adsorption trials

Based on these results, adsorption effects over the CuO/ γ-Al2O3 surface cannot be neglected. Important differences are observed between these results and those of the control trials as shown in Table 4. This difference in the results of the adsorption test corresponds to differences in a number of compounds adsorbed on the surface of the catalyst, before and after impregnation of the active phase [28]. Several authors attribute this high amount of organic adsorbed compounds onto the active phase/ γ-Al2O3 system to the crystalline structure of the active phase (dependent on the impregnated copper load and the calcination temperature), which could exhibit vacant, to accommodate neutral molecules or compounds with anionic characteristics, while γ-Al2O3 has a virtually zero adsorption capacity [72].

Conclusions

A two-step kinetic model was applied to TOC reduction in heterogeneous and homogeneous oxidations, admitting two sequential steps of oxidation, a first fast stage (“seconds stage”) followed by a slow one (“minutes stages”).

The heterogeneous oxidation process was evaluated by examining temperature and catalyst loading. Temperature affected dramatically the reaction and the kinetics constant increased linearly with the increase of catalyst load. The oxidation rate in the “minutes stage” can be described by a pseudo-zero order kinetics and the activation energy resulted to be 33.17 kJ/mol.

TOC conversions and reaction rates of homogeneous oxidations were higher than those observed for the heterogeneous reactions, confirming mass transfer limitation. The homogeneous oxidation rate for the “minutes stage” was fitted to a pseudo first-order kinetic model and the activation energy resulted 15.13 kJ/mol.

The simulated effluent from the alkaline treatment of wood behaves as an anionic stream, with an easy adsorption to the active sites of alumina surface at lower pH. Adsorption of organic compounds onto CuO/ γ-Al2O3, of physical nature and exothermic, cannot be neglected. It was best described by a pseudo first order kinetic model with an activation energy of 7.32 kJ/mol.