A Kinetic Study on the E ﬃ cient Formation of High-Valent Mn(TPPS)-oxo Complexes by Various Oxidants

: New, more e ﬃ cient methods of wastewater treatment, which will limit the harmful e ﬀ ects of textile dyes on the natural environment, are still being sought. Signiﬁcant research work suggests that catalysts based on transition metal complexes can be used in e ﬃ cient and environmentally friendly processes. In this context, a number of compounds containing manganese have been investigated. A suitable catalyst should have the capacity to activate a selected oxidant or group of oxidants, in order to be used in industrial oxidation reactions. In the present study we investigated the ability of Mn III (TPPS), where TPPS = 5,10,15,20-tetrakis(4-sulphonatophenyl)-21H,23H-porphyrine, to activate ﬁve di ﬀ erent oxidants, namely hydrogen peroxide, peracetic acid, sodium hypochlorite, potassium peroxomonosulfate and sodium perborate, via the formation of high valent Mn(TPPS)-oxo complexes. Kinetic and spectroscopic data showed that the oxidation process is highly pH dependent and is strongly accelerated by the presence of carbonate in the reaction mixture for three of the ﬁve oxidizing agents. The highest e ﬃ ciency for the oxidation of Mn III (TPPS) to high-valent Mn(TPPS)-oxo complexes, was found for peracetic acid at pH ≈ 11 in 0.5 M carbonate solution, which is at least an order of magnitude higher than the rate constants found for the other tested oxidants under similar conditions.


Introduction
Estimations concerning the amount of textile dyes that are discharged into water are quite different. Some articles state that 2% of the produced pigments are liberated in an aqueous effluent and the next 10% comes from the coloration process [1]. Other sources claim that 280,000 tons are released yearly [2]. This does not change the fact that the scale of the problem is huge. Especially, since insignificant amounts of dye may disrupt the water transparency, gas solubility and entail formation of toxic side products [2][3][4][5].
Due to the non-biodegradable character of dyestuffs and the possible release of toxic and carcinogenic byproducts, new methods for the degradation of dyes are still being sought [6][7][8][9][10][11][12][13]. New environmentally benign processes should reduce energy consumption and minimize the amount of chemicals, which are used in the overall cleaning operations. The alternative seems to be the application of catalysts based on transition metal complexes combined with oxidation agents in efficient

Results
In this work, the oxidation reactions were carried out using a commercially available Mn III (TPPS) (see Figure 1a) porphyrin complex. The typical ultraviolet-visible (UV-Vis) spectrum of this complex can be described by the presence of a characteristic intense Soret band at 466 nm, two less intense bands at 379 and 401 nm, and weak Q bands at 564 and 596 nm (for a Mn III (TPPS) solution in water). Based on our previous studies, Mn III (TPPS) in aqueous solution has two pK a values (pK 1 = 6.6, pK 2 = 12.0) and hence can exist in three different forms, i.e., [ [41]. Figure 1b shows how the pH affects the spectrum of Mn III (TPPS).
As shown in earlier studies, the oxidation of Mn III (TPPS) is connected with the hypsochromic shift of the most intense Soret band. The shift in the peak maximum from 466 nm to 422 nm is related to the formation of the high-valent (TPPS)Mn V =O species. On the other hand, the maximum at 402 nm is associated with the presence of (TPPS)Mn IV =O species [41]. Similar effects were also reported in the literature for other manganese porphyrin complexes [43][44][45]. As shown in earlier studies, the oxidation of Mn III (TPPS) is connected with the hypsochromic shift of the most intense Soret band. The shift in the peak maximum from 466 nm to 422 nm is related to the formation of the high-valent (TPPS)Mn V =O species. On the other hand, the maximum at 402 nm is associated with the presence of (TPPS)Mn IV =O species [41]. Similar effects were also reported in the literature for other manganese porphyrin complexes [43][44][45].
It was shown before that the formation of higher oxidation states of manganese is not efficient under acidic and neutral pH conditions due to the fact that the Mn III (TPPS) complex is mainly present in a more inert form with both axial positions occupied by water molecules. However, the application of more basic solutions, where one of the coordinated water molecules is replaced by a hydroxo ligand, leads to the fast oxidation of the porphyrin to form Mn(IV)-oxo or Mn(V)-oxo complexes [41]. The most efficient oxidation was observed at pH around 11 [42]. This maximum was ascribed to the trans-labilization of the coordinated water molecule by hydroxide in [Mn III (TPPS)(H2O)(OH)] 4− and the very inert bishydroxo complex [Mn III (TPPS)(OH)2] 5− .
Based on this knowledge, we selected two pH values for which all spectroscopic and kinetic measurements were taken, namely pH 9.3 and 11. Also the careful selection of the type of buffer seemed to be essential. To prevent the unsuspected influence of buffer components on the kinetics of the scheduled reactions, we decided to follow the reactions in three types of solutions: in appropriately concentrated base, in 0.5 M solution of potassium nitrate (to keep the ionic strength at a constant level) with NaOH to adjust the pH, and in 0.5 M carbonate containing solution. Due to the fact that the oxidation of Mn III (TPPS) is too fast for using a standard UV-Vis spectrophotometer, all observed spectral changes and kinetic traces shown in this work were measured using the rapid-scan mode of a stopped-flow instrument.
Although the reactions of Mn III (TPPS) with H2O2 were studied before, we decided to perform new measurements to obtain observed rate constants under the same conditions for all oxidants. This allowed us to compare the ability to oxidize Mn III (TPPS) by different oxidants. The results obtained for the reaction between Mn III (TPPS) and H2O2 at pH = 9.3 and pH = 11 are presented in Figures S1 and S2 (Supporting Information).
At pH = 9.3 ( Figure S1), the rate constants observed exhibit a linear dependence on the H2O2 concentration with a significant intercept for Figure S1a and S1b. The intercept can be ascribed to a parallel decomposition reaction at low hydrogen peroxide concentration. The second-order rate constants are 1.08 ± 0.04 (for Figure S1a), (3.2 ± 0.2) × 10 2 (for Figure S1b) and (7.2 ± 0.2) × 10 3 M −1 s −1 (for Figure S1c), respectively. The highest value was obtained for the reaction in carbonate buffer, which is in good agreement with our previous studies [41,42]. The reaction in the presence of carbonate is usually much faster due to the rapid formation of the peroxocarbonate ion (percarbonate), according to Equation (1), which is a more powerful oxidizing agent than H2O2 It was shown before that the formation of higher oxidation states of manganese is not efficient under acidic and neutral pH conditions due to the fact that the Mn III (TPPS) complex is mainly present in a more inert form with both axial positions occupied by water molecules. However, the application of more basic solutions, where one of the coordinated water molecules is replaced by a hydroxo ligand, leads to the fast oxidation of the porphyrin to form Mn(IV)-oxo or Mn(V)-oxo complexes [41]. The most efficient oxidation was observed at pH around 11 [42]. This maximum was ascribed to the Based on this knowledge, we selected two pH values for which all spectroscopic and kinetic measurements were taken, namely pH 9.3 and 11. Also the careful selection of the type of buffer seemed to be essential. To prevent the unsuspected influence of buffer components on the kinetics of the scheduled reactions, we decided to follow the reactions in three types of solutions: in appropriately concentrated base, in 0.5 M solution of potassium nitrate (to keep the ionic strength at a constant level) with NaOH to adjust the pH, and in 0.5 M carbonate containing solution. Due to the fact that the oxidation of Mn III (TPPS) is too fast for using a standard UV-Vis spectrophotometer, all observed spectral changes and kinetic traces shown in this work were measured using the rapid-scan mode of a stopped-flow instrument.
Although the reactions of Mn III (TPPS) with H 2 O 2 were studied before, we decided to perform new measurements to obtain observed rate constants under the same conditions for all oxidants. This allowed us to compare the ability to oxidize Mn III (TPPS) by different oxidants. The results obtained for the reaction between Mn III (TPPS) and H 2 O 2 at pH = 9.3 and pH = 11 are presented in Figures S1 and S2 (Supporting Information).
At pH = 9.3 ( Figure S1), the rate constants observed exhibit a linear dependence on the H 2 O 2 concentration with a significant intercept for Figure S1a and S1b. The intercept can be ascribed to a parallel decomposition reaction at low hydrogen peroxide concentration. The second-order rate constants are 1.08 ± 0.04 (for Figure S1a), (3.2 ± 0.2) × 10 2 (for Figure S1b) and (7.2 ± 0.2) × 10 3 M −1 s −1 (for Figure S1c), respectively. The highest value was obtained for the reaction in carbonate buffer, which is in good agreement with our previous studies [41,42]. The reaction in the presence of carbonate is usually much faster due to the rapid formation of the peroxocarbonate ion (percarbonate), according to Equation (1), which is a more powerful oxidizing agent than H 2 O 2 [46,47]. The equilibrium constant for this reaction is K = 0.32 ± 0.02 M −1 and the pK a value for HCO 4 − /CO 4 2− is 10.6 [48,49].
In the case of measurements at pH = 11, also a linear dependence on hydrogen peroxide concentration was observed for reactions in NaOH and carbonate solutions (see Figure S2a,c). Both plots show a considerable intercept, which is associated with decomposition reactions. The slope of the plots in Figure S2a,c represent the second-order rate constants, which are (2.20 ± 0.06) × 10 3 and (9.3 ± 0.7) × 10 4 M −1 s −1 for Figure S2a,c, respectively.
The non-linear dependence of k obs on the H 2 O 2 concentration observed in Figure S2b suggests that the reaction reaches a saturation level in terms of the observed rate constant. The second-order rate constant was taken from the initial slope and equals (4.1 ± 0.7) × 10 4 M −1 s −1 . Similar to pH = 9.3, the highest value was obtained for the reaction containing carbonate. It is worth noting that experiments at pH = 11 show on average a one-order of magnitude higher rate constant than for the corresponding reactions at pH = 9.3. Due to the larger contribution of [Mn III (TPPS)(H 2 O)OH] 4− in solutions with increasing basicity, the manganese complex becomes more labile and can be more efficiently oxidized by H 2 O 2 , OOH − or HCO 4 − .
Subsequently, we used peracetic acid (PAA) instead of hydrogen peroxide to oxidize Mn III (TPPS). PAA is produced in an equilibrium between hydrogen peroxide and acetic acid [50]. The reaction is catalyzed by sulfuric acid and proceeds according to Equation (2): Due to this equilibration reaction, it is obvious that PAA solutions contain a certain concentration of H 2 O 2 . In the literature it is postulated that both peroxides are strong oxidants. On comparing PAA and H 2 O 2 , an advantage of the former is its lower tendency to undergo catalase reactions. Participation of the oxidants in catalase reactions causes faster decomposition of the oxidant and could be a problem in efficient degradation processes catalyzed by transition metal complexes [22,51]. Detailed spectroscopic and kinetic studies were performed to follow the oxidation of Mn III (TPPS) by PAA at pH 9.3 and 11. Typical spectral changes and a kinetic trace are shown in Figure 2.

HCO + H O ⇌ HCO + H O (1)
In the case of measurements at pH = 11, also a linear dependence on hydrogen peroxide concentration was observed for reactions in NaOH and carbonate solutions (see Figures  The non-linear dependence of kobs on the H2O2 concentration observed in Figure S2b suggests that the reaction reaches a saturation level in terms of the observed rate constant. The second-order rate constant was taken from the initial slope and equals (4.1 ± 0.7) × 10 4 M −1 s −1 . Similar to pH = 9.3, the highest value was obtained for the reaction containing carbonate. It is worth noting that experiments at pH = 11 show on average a one-order of magnitude higher rate constant than for the corresponding reactions at pH = 9.3. Due to the larger contribution of [Mn III (TPPS)(H2O)OH] 4− in solutions with increasing basicity, the manganese complex becomes more labile and can be more efficiently oxidized by H2O2, OOH − or HCO4 − .
Subsequently, we used peracetic acid (PAA) instead of hydrogen peroxide to oxidize Mn III (TPPS). PAA is produced in an equilibrium between hydrogen peroxide and acetic acid [50]. The reaction is catalyzed by sulfuric acid and proceeds according to Equation (2): Due to this equilibration reaction, it is obvious that PAA solutions contain a certain concentration of H2O2. In the literature it is postulated that both peroxides are strong oxidants. On comparing PAA and H2O2, an advantage of the former is its lower tendency to undergo catalase reactions. Participation of the oxidants in catalase reactions causes faster decomposition of the oxidant and could be a problem in efficient degradation processes catalyzed by transition metal complexes [22,51]. Detailed spectroscopic and kinetic studies were performed to follow the oxidation of Mn III (TPPS) by PAA at pH 9.3 and 11. Typical spectral changes and a kinetic trace are shown in Figure 2. Upon addition of PAA to a solution of Mn III (TPPS) in basic aqueous media, an immediate decrease in the absorption of the Soret band at 466 nm was observed (see Figure 2a). Simultaneously, a new broad band at 422 nm was formed. The observed hypsochromic shift is ascribed to the oxidation of Mn III (TPPS) to (TPPS)Mn V =O as described above. The formation of Mn V =O species was completed in less than 0.4 s and revealed clean isosbestic points at 387, 447, 487 and 542 nm. The overall observed spectral changes are in good agreement with our earlier work dealing with the Mn III (TPPS)/H 2 O 2 system. A typical kinetic trace presented in Figure 2b shows very good pseudo-first order behavior and can be fitted satisfactory with a single exponential function. To gain more information on the reactivity of Mn III (TPPS) with PAA, we conducted experiments with different concentrations of PAA at pH = 9.3 and pH = 11. The obtained results are shown in Figure 3 and Figure S3.
Plots of the observed rate constants vs.
[PAA] in Figure 3a and Figure S3a exhibit a linear dependence with an almost unnoticeable intercept. The small intercept can be ascribed to a parallel decomposition of the porphyrin complex that occurs at low PAA concentrations. The obtained second-order rate constants for these reactions at pH 9.3 in carbonate solution (Figure 3a) and at pH 11 in basic solution ( Figure S3a) are (1.26 ± 0.02) × 10 5 M −1 s −1 and (2.19 ± 0.06) × 10 4 M −1 s −1 at 25 • C, respectively. It differs for plots recorded at pH = 11 in solutions containing KNO 3 and carbonate. For these plots, the data exhibit saturation kinetics (see Figure S3b and Figure 3b). The second-order rate constants were taken from the initial slope and equal (9.3 ± 2.0) × 10 4 M −1 s −1 and (1.7 ± 0.4) × 10 6 M −1 s −1 , respectively. As in the case of the hydrogen peroxide system, the higher value was found for the reaction at pH = 11 in the presence of carbonate in solution. However, a comparison of all the values found for H 2 O 2 as oxidant, with those obtained for the same reaction with PAA, leads to the conclusion that the efficiency of the formation of high-valent Mn(TPPS)-oxo complexes by PAA is significantly higher by an order of magnitude in terms of the second-order rate constant. This suggests that PAA is a more efficient oxidant in comparison to H 2 O 2 under the selected conditions. Moreover, kinetic data showed that the oxidation by PAA is accelerated in carbonate solution. This can be accounted for in terms of the formation of peroxocarbonate in the presence of H 2 O 2, which is released by the hydrolysis of PAA according to Equation (2).
Catalysts 2020, 10, x FOR PEER REVIEW 5 of 13 Upon addition of PAA to a solution of Mn III (TPPS) in basic aqueous media, an immediate decrease in the absorption of the Soret band at 466 nm was observed (see Figure 2a). Simultaneously, a new broad band at 422 nm was formed. The observed hypsochromic shift is ascribed to the oxidation of Mn III (TPPS) to (TPPS)Mn V =O as described above. The formation of Mn V =O species was completed in less than 0.4 s and revealed clean isosbestic points at 387, 447, 487 and 542 nm. The overall observed spectral changes are in good agreement with our earlier work dealing with the Mn III (TPPS)/H2O2 system. A typical kinetic trace presented in Figure 2b shows very good pseudo-first order behavior and can be fitted satisfactory with a single exponential function.
To gain more information on the reactivity of Mn III (TPPS) with PAA, we conducted experiments with different concentrations of PAA at pH = 9.3 and pH = 11. The obtained results are shown in Figures 3 and S3.
Plots of the observed rate constants vs.
[PAA] in Figure 3a and Figure S3a exhibit a linear dependence with an almost unnoticeable intercept. The small intercept can be ascribed to a parallel decomposition of the porphyrin complex that occurs at low PAA concentrations. The obtained second-order rate constants for these reactions at pH 9.3 in carbonate solution (Figure 3a) and at pH 11 in basic solution ( Figure S3a) are (1.26 ± 0.02) × 10 5 M −1 s −1 and (2.19 ± 0.06) × 10 4 M −1 s −1 at 25 °C, respectively. It differs for plots recorded at pH = 11 in solutions containing KNO3 and carbonate. For these plots, the data exhibit saturation kinetics (see Figures S3b and 3b). The second-order rate constants were taken from the initial slope and equal (9.3 ± 2.0) × 10 4 M −1 s −1 and (1.7 ± 0.4) × 10 6 M −1 s −1 , respectively. As in the case of the hydrogen peroxide system, the higher value was found for the reaction at pH = 11 in the presence of carbonate in solution. However, a comparison of all the values found for H2O2 as oxidant, with those obtained for the same reaction with PAA, leads to the conclusion that the efficiency of the formation of high-valent Mn(TPPS)-oxo complexes by PAA is significantly higher by an order of magnitude in terms of the second-order rate constant. This suggests that PAA is a more efficient oxidant in comparison to H2O2 under the selected conditions. Moreover, kinetic data showed that the oxidation by PAA is accelerated in carbonate solution. This can be accounted for in terms of the formation of peroxocarbonate in the presence of H2O2, which is released by the hydrolysis of PAA according to Equation (2). It should be underlined that for pH = 9.3 only the reactions in the presence of carbonate buffer were successfully measured. Reactions in basic and KNO3 solution showed low reproducibility and were not taken into consideration. It is suggested in the literature that PAA itself can undergo three potential reactions, namely hydrolysis to H2O2 and acetic acid, spontaneous decomposition, and decomposition catalyzed by transition metal ions. These reactions may have an effect on the It should be underlined that for pH = 9.3 only the reactions in the presence of carbonate buffer were successfully measured. Reactions in basic and KNO 3 solution showed low reproducibility and were not taken into consideration. It is suggested in the literature that PAA itself can undergo three potential reactions, namely hydrolysis to H 2 O 2 and acetic acid, spontaneous decomposition, and decomposition catalyzed by transition metal ions. These reactions may have an effect on the complexity of the observed processes and cause insufficient reproducibility of results especially at a pH close to the pK a value of PAA, which is 8.2 [22,[51][52][53][54][55].
In a next step, we extended our work to elucidate how Mn III (TPPS) reacts with sodium hypochlorite. NaOCl exists in aqueous solution as an equilibrium between hypochlorous acid (HOCl) and hypochlorite ion (OCl − ) at pH 5-10 [56]. The pK a value of HOCl is 7.53 [57]. Sodium hypochlorite undergoes an un-catalyzed two-step decomposition according to the reactions in Equations (3) and (4) [58]: Catalysts 2020, 10, 610 6 of 13 NaOCl + NaClO 2 → NaClO 3 + NaCl (4) In the work by Lister it was shown that the reaction described in Equation (3) is the rate-determining slow step with the larger activation energy barrier. Moreover, the influence of sodium hydroxide, carbonate and chloride on the stability of NaOCl was studied. The data showed that the mentioned compounds do not exert a catalytic effect on the reactions outlined in Equations (3) and (4) [58].
A series of measurements between Mn III (TPPS) and NaOCl at pH 9.3 and 11 were conducted. Monitoring of the kinetic traces at 466 nm, which mostly showed very good pseudo-first order behavior, allowed the kinetic data shown in Figures S4 and S5 to be obtained. However, for the reaction at pH = 9.3 in base, it was necessary to fit the kinetic traces with a double exponential function. This effect was probably due to the unstable pH value during measurements, which was caused by the presence of only a diluted basic solution in the test system. Calculated rate constants exhibited a linear dependence on the NaOCl concentration. Only for pH = 9.3 with KNO 3 (see Figure S4b) and pH = 11 with base (see Figure S5a), a significant intercept was observed. It can be associated with the back reaction in which (TPPS)Mn V =O is reduced to the initial Mn III (TPPS) in a parallel reaction. The slope of the plots in Figures S4 and S5  Analysis of the second-order rate constants for the oxidation of Mn III (TPPS) by NaOCl to form high-valent Mn(TPPS)-oxo complexes, indicates that the process is favored at pH ≈11. Furthermore, the reported rate constants are insignificantly higher than those for the Mn III (TPPS)/H 2 O 2 system. However, they are lower than those obtained for the Mn III (TPPS)/PAA system. This suggests that NaOCl is a more efficient oxidant than H 2 O 2 , but a less efficient oxidant than PAA for the studied oxidation process. Moreover, the presence of carbonate in the solution has insignificant influence on the second-order rate constants. This demonstrates that the presence of carbonate does not affect the oxidation process as it was in the case for the Mn III (TPPS)/H 2 O 2 and Mn III (TPPS)/PAA systems.
To gain more information about the reactions between Mn III (TPPS) and potassium peroxomonosulfate or sodium perborate, more detailed measurements using the rapid-scan mode of a stopped-flow instrument were conducted. Potassium peroxomonosulfate is commercially available as the stable triple salt KHSO 5 ·0.5 KHSO 4 ·0.5 K 2 SO 4 (Oxone ® ). Oxone is non-toxic and has good water solubility. The pK a value of HSO 5 − /SO 5 2− is 9.4. It is commonly used in synthesis and oxidation of organic compounds (such as alkenes, aldehydes, ketones, phenols) [59] and as an efficient disinfectant. The peroxomonosulfate anion (HSO 5 − ) is a relatively strong oxidant with a standard electrode potential of 1.82 V (vs. NHE) according to Equation (5) [60]: The peroxomonosulfate ion requires activation by transition metals, or irradiation, for the efficient degradation of pollutants. Activated HSO 5 − can easily generate sulfate radicals [60].
The perborate anion is produced when in aqueous solution boric acid and hydrogen peroxide are mixed together [61]. The pK a of boric acid is 8.98 [62], which indicates that above pH 9 the borate anion predominates according to Equation (6) with K (BOH)3 = 1.0 × 10 −9 M.
In the presence of hydrogen peroxide, boric acid exists in equilibrium with two other forms, namely monoperoxoborate (also called perborate) and diperoxoborate ions, as shown below in Equations (7) and (8) It is suggested in the literature that peroxoborate is the main species in the pH range 7-13, however, this depends on the concentrations of borate and hydrogen peroxide in solution. It is postulated that perborate is more reactive than percarbonate, but less reactive than persulfate and peroxycarboxylic acids [61,63,64]. The results of our kinetic studies dealing with the interactions between Mn III (TPPS) and persulfate or perborate are presented in Figures S6 and S7. All results were obtained using the stopped-flow technique.
It is worth noting that reproducible results were obtained only for measurements at pH = 11. The dependence of the determined k obs values on the peroxomonosulfate concentration in potassium nitrate solution (see Figure S6a) exhibits saturation kinetics with a second-order rate constant of (4.4 ± 1.1) × 10 4 M −1 s −1 calculated from the initial slope of the plot. It is different in carbonate-containing solution (see Figure S6b), where k obs exhibits a linear dependence on the peroxomonosulfate concentration with a second-order rate constant (1.17 ± 0.02) × 10 5 M −1 s −1 . All kinetic traces showed very good pseudo-first order behavior and could be fitted with a single exponential function. Similarly, when perborate was used, plots of k obs versus perborate concentration are linear with a small intercept in Figure S7b, which is probably associated with a slow parallel decomposition of the catalyst that cannot be avoided. The second-order rate constants obtained were (8.8 ± 0.2) × 10 2 M −1 s −1 and (3.7 ± 0.2) × 10 4 M −1 s −1 , respectively. It should be underlined that the presence of carbonate in solution significantly accelerates the reaction with perborate. This is probably due to the fact that perborate is always in equilibrium with an appropriate amount of hydrogen peroxide, which is able to rapidly generate the percarbonate ion in the reaction with carbonate as described earlier. In the case of persulfate, the difference between the rate of the reaction with and without carbonate was much smaller.
For clarity, all obtained values of second-order rate constants are collected in Table 1. [a] Taken from the initial slope of the plots in Figure S2b, Figure 3b and Figure S3b.

Discussion
In this study it was our aim to investigate the ability of Mn III (TPPS) to react with commercially available oxidants to form high-valent Mn(TPPS)-oxo complexes as catalytic active species in an Catalysts 2020, 10, 610 8 of 13 efficient way. We examined five different oxidants, viz. hydrogen peroxide, peracetic acid, sodium hypochlorite, potassium peroxomonosulfate and sodium perborate, in their reactions with Mn III (TPPS). Although we studied the interaction of Mn III (TPPS) with H 2 O 2 before, we repeated these measurements under the same conditions as for the other oxidants. It allowed us to minimize the influence of pH changes and small differences in the constitution of solutions between experiments with hydrogen peroxide and the remaining oxidants. The results showed that the second-order rate constants for the formation of high-valent Mn(TPPS)-oxo complexes are similar for the three oxidants: hydrogen peroxide, sodium hypochlorite and sodium perborate. Overall, significantly higher second-order rate constants were obtained for peracetic acid and potassium peroxomonosulfate. The most efficient formation of high-valent Mn(TPPS)-oxo complexes was found for PAA at pH ≈ 11 in carbonate solution, which is at least an order of magnitude higher than for the other tested oxidants on the basis of the reported second-order rate constants. It can be concluded that peracetic acid is the most efficient oxidant of Mn III (TPPS) among all tested oxidants under the selected conditions.
It is worth noting that the formation of higher oxidation state Mn(TPPS)-oxo species is faster and favored at pH = 11. This is due to the presence of the Mn III Figure S2b, Figure 3b and Figure S3b) which can be ascribed to rapid precursor formation (K) between a specific Mn III (TPPS) complex and the oxidant as shown in Equations (9) and (10), followed by the rate-determining (k) formation of the high valent Mn V =O oxo complex. Subsequently, the high-valent oxo complex oxidizes the substrate (S) in a fast reaction to reform the Mn III (TPPS) complex (to complete the catalytic cycle) and the oxidized substrate (SO) as shown in Equation (11).
Based on the mechanism outlined in Equations (9) to (11) for oxidant in excess, the observed first-order rate constant can be expressed as Equation (12), which simplifies to k obs = kK [oxidant] at low [oxidant], and k obs = k at high [oxidant]. Thus, the initial slope of the curved concentration dependence represents kK, i.e., the second-order rate constant, and the maximum rate constant reached at saturation represents k, the rate-determining step of the suggested reaction mechanism. Finally, it can be concluded that, in the longer term, the results presented in this work may have a positive impact on the design of new, efficient and environmentally friendly catalytic systems, which can be used in industrial processes for the purification of wastewater.
The time-resolved visible spectra were recorded on a SX20 (Applied Photophysics, Leatherhead, Surrey, UK) stopped-flow spectrophotometer using a rapid scan photodiode array mode with 1 nm spectral resolution. The temperature was controlled by a Labo Plus, Polyscience (Labo Plus sp. Z o.o., Warsaw, Poland) thermostat bath. All measurements were done at 25 • C. One syringe of the stopped-flow instrument was filled with the Mn III (TPPS) complex and the second one with the appropriate oxidant solution. Both solutions were at the chosen pH. In the experiments dealing with the kinetics of the reactions, the traces were followed at 466 nm. Complete spectra and single wavelength kinetic traces were collected. Data were processed using the Pro-Data and OriginPro 2019 software. The pH measurements were carried out with a HI 221 (HANNA Instruments Polska, Olsztyn, Poland) pH-meter combined with a Hydromet ERH-13-6 electrode (Hydromat, Gliwice, Poland). The pH-meter was calibrated for two points with standard buffer solutions at pH 7, 9, 10 and 12.46, depending on the pH range required.
All solutions were freshly prepared before use by dissolving the starting material in pure, distilled water. Concentrations of Mn III (TPPS) were evaluated spectroscopically based on the absorption coefficients determined at different pH values. Different carbonate or NaOH solutions were used to adjust the pH of the experimental solutions. Carbonate buffer at pH 9.3 was prepared by dissolving and mixing NaHCO 3 with Na 2 CO 3 in water. For pH 11, dissolved Na 2 CO 3 with the addition of NaOH was used. Sodium hydroxide solutions were obtained by dissolving suitable amounts of NaOH. In some cases, KNO 3 was used to control the ionic strength. All reported concentrations are the final values obtained after mixing and dilution of the reactants.

Conclusions
The results presented in this paper indicate that Mn III (TPPS) can easily be activated by a wide range of oxidants to form a promising catalyst for many different oxidation reactions. We have shown that hydrogen peroxide, peracetic acid, sodium hypochlorite, potassium peroxomonosulfate and sodium perborate can oxidize Mn III (TPPS) to form high-valent Mn(V)-oxo species under appropriate conditions. All studied systems show high second-order rate constants for the formation of Mn(V)-oxo species. The highest value was found for the Mn III (TPPS)/PAA system at pH ≈ 11 in carbonate solution, which indicates that peracetic acid is the most efficient oxidant under the selected conditions. Moreover, it can be concluded that for all tested systems the oxidation of Mn III (TPPS) is much faster at pH = 11 compared to pH = 9.3, which is due to the presence of the most labile form of Mn III (TPPS), viz. [Mn III (TPPS)(H 2 O)(OH)] 4− . It is worth noting that the use of carbonate solutions significantly accelerate the formation of higher oxidation states of Mn III (TPPS) in systems containing H 2 O 2 , PAA and sodium perborate.
Supplementary Materials: The following are available online at http://www.mdpi.com/2073-4344/10/6/610/s1: Figure S1: Plots of k obs versus H 2 O 2 concentration for the reaction of Mn III (TPPS) with H 2 O 2 at pH = 9.3; Figure  S2: Plots of k obs versus H 2 O 2 concentration for the reaction of Mn III (TPPS) with H 2 O 2 at pH = 11; Figure S3: Dependence of k obs on [PAA] for the reaction of Mn III (TPPS) with PAA at pH = 11; Figure S4: Plots of k obs versus NaOCl concentration for the reaction of Mn III (TPPS) with H 2 O 2 at pH = 9.3; Figure S5: Dependence of k obs on [NaOCl] for the reaction of Mn III (TPPS) with NaOCl at pH = 11; Figure S6: Plots of k obs versus persulfate