# Perborate Oxidation of Substituted 5-Oxoacids in Aqueous Acetic Acid Medium: A Kinetic and Mechanistic Study

Authors: S. Shree Devi; B. Muthukumaran; P. Krishnamoorthy
Journal: ISRN Physical Chemistry
 (2014)

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## Abstract

Kinetics and mechanism of oxidation of substituted 5-oxoacids by sodium perborate in aqueous acetic acid medium have been studied. The reaction exhibits first order both in [perborate] and [5-oxoacid] and second order in [H+]. Variation in ionic strength has no effect on the reaction rate, while the reaction rates are enhanced on lowering the dielectric constant of the reaction medium. Electron releasing substituents in the aromatic ring accelerate the reaction rate and electron withdrawing substituents retard the reaction. The order of reactivity among the studied 5-oxoacids is p-methoxy ≫ p-methyl > p-phenyl > –H > p-chloro > p-bromo > m-nitro. The oxidation is faster than H2O2 oxidation. The formation of H
2
BO
3
+ is the reactive species of perborate in the acid medium. Activation parameters have been evaluated using Arrhenius and Eyring’s plots. A mechanism consistent with the observed kinetic data has been proposed and discussed. Based on the mechanism a suitable rate law is derived.


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## Body

## 1. Introduction

Sodium perborate (NaBO3·4H2O) is a nontoxic cheap large scale industrial chemical primarily used as a source of “active oxygen” in detergents and as a mild antiseptic. This active oxygen has the oxidising properties of hydrogen peroxide. PMR spectral analysis [1] and X-ray diffraction studies [2] conclude that perborate is a true peroxy salt with water of crystallisation. Perborate is a heterocycle and is in a dimeric tetrahedral configuration with dihedral angle of 64° and anionic formula: B
2
(
O
2
)
2
(
OH
)
4
2
- [3]. Oxidative study suggests perborate as not peroxoborate but borate peroxyhydrate. Hydrogen peroxide acquires stronger electrophilicity by the coordination with borate [4]. It is an effective reagent in organic synthesis and acetic acid is the solvent of choice [5–7]. Perborate in aqueous solution yields hydrogen peroxide and the kinetic studies in aqueous and partly aqueous acidic media confirm that perborate oxidation is hydrogen peroxide oxidation [8–10]. This stable and easily handled crystalline substance oxidizes organic sulphides [11–13], anilines [14], and indole [15].5-Oxoacid is an attractive substrate in terms of its enolization. In strong acid medium the substrate undergoes enolization. The reactive species of the substrate has been reported in the literature to be the enol form [16, 17].In recent years, studies of the oxidation of various organic compounds by perborate have attracted considerable attention. A thorough literature survey reveals that relatively little work on the oxidation of oxoacid has been reported so far [18–21]. Although the perborate oxidation of organic compounds has been studied, there seems to be no report on a systematic kinetic study of the oxidation of 5-oxoacids by perborate and we report here for the first time the kinetics and mechanism of perborate oxidation of substituted and unsubstituted 5-oxoacids. The various unsubstituted and substituted 5-oxoacids (S1–S7) employed in the present study are listed in Figure 1.Figure 1
S1: unsubstituted, S2: 4′-methoxy, S3: 4′-methyl, S4: 4′-phenyl, S5: 4′-chloro, S6: 4′-bromo, and S7: 3′-nitro.


## 2. Experimental

### 2.1. Materials

Sodium perborate, NaBO3·4H2O (Riedel), was used as received. Acetic acid (BDH) was refluxed for 6 h over chromium (VI) oxide and distilled through a column. Aqueous solutions of perborate were prepared as and when required and standardized iodometrically. Sodium metaborate and perchloric acid were prepared in double distilled water. Double distilled water (conductivity < 10 μS·cm−1) has been employed in all kinetic runs. All the chemicals used were 99.8% pure. The parent 5-oxoacid, namely, 5-oxo-5-phenylpentanoic acid (S1), and the phenyl substituted 5-oxoacids (S2–S7) were prepared by Friedel-Crafts acylation of the substituted benzene with glutaric anhydride [22–26]. All the 5-oxoacids were crystallized twice from water and their purity was checked by their melting points and UV, IR, and NMR spectra. All other chemicals were of analytical grade.All absorption measurements were made with Shimadzu UV-visible spectrophotometer (MPS-5000) equipped with a temperature controller. Regression analysis of experimental data yielded the regression coefficient (r) and standard deviation (s).


### 2.2. Kinetic Measurements

The reaction mixture, containing 5-oxoacid and sulphuric acid solutions, was thermally equilibrated and the reaction was initiated by the addition of temperature-equilibrated perborate solution of requisite concentration. The oxidation kinetics was followed in aqueous acetic acid at constant temperature by measuring the concentration of benzoic acid formed iodometrically under pseudo-first order conditions by keeping the substrate in excess over the oxidant. The pseudo-first-order rate constant (k
′) was calculated from the slope of the linear plot of ln [perborate] versus time by the method of least squares. The error quoted in k
′ is the 95% confidence limit of the Student’s t-test. The progress of the oxidation was followed by iodometric determination of the oxidant. Freshly prepared solutions of oxoacids in purified acetic acid were used to avoid any possible side reactions.


### 2.3. Reaction Stoichiometry and Product Analysis

The stoichiometry of the reaction was determined by equilibrating reaction mixture of various [perborate]/[5-oxoacid] ratios at 313 K for 12 h, keeping all other reagents constant. Estimation of unconsumed perborate (iodometrically) revealed that one mole of 5-oxoacid consumed one mole of perborate:(1)The products were extracted with ether, dried, and analyzed. Benzoic acid was identified by its melting point (121°C). Then it has been estimated quantitatively using UV-Vis spectrophotometry with a standard curve atλ
max
⁡ = 235 nm. Succinic acid was identified by its melting point (185°C) and also tested with its characteristic spot test [27]. Identification of the products, namely, benzoic and succinic acids, was also made by comparing the R
f values of the authentic samples. Boric acid was identified by adding an alkaline solution of benzoin, resulting in the formation of a yellow-green fluorescent complex.


## 2.1. Materials

Sodium perborate, NaBO3·4H2O (Riedel), was used as received. Acetic acid (BDH) was refluxed for 6 h over chromium (VI) oxide and distilled through a column. Aqueous solutions of perborate were prepared as and when required and standardized iodometrically. Sodium metaborate and perchloric acid were prepared in double distilled water. Double distilled water (conductivity < 10 μS·cm−1) has been employed in all kinetic runs. All the chemicals used were 99.8% pure. The parent 5-oxoacid, namely, 5-oxo-5-phenylpentanoic acid (S1), and the phenyl substituted 5-oxoacids (S2–S7) were prepared by Friedel-Crafts acylation of the substituted benzene with glutaric anhydride [22–26]. All the 5-oxoacids were crystallized twice from water and their purity was checked by their melting points and UV, IR, and NMR spectra. All other chemicals were of analytical grade.All absorption measurements were made with Shimadzu UV-visible spectrophotometer (MPS-5000) equipped with a temperature controller. Regression analysis of experimental data yielded the regression coefficient (r) and standard deviation (s).


## 2.2. Kinetic Measurements

The reaction mixture, containing 5-oxoacid and sulphuric acid solutions, was thermally equilibrated and the reaction was initiated by the addition of temperature-equilibrated perborate solution of requisite concentration. The oxidation kinetics was followed in aqueous acetic acid at constant temperature by measuring the concentration of benzoic acid formed iodometrically under pseudo-first order conditions by keeping the substrate in excess over the oxidant. The pseudo-first-order rate constant (k
′) was calculated from the slope of the linear plot of ln [perborate] versus time by the method of least squares. The error quoted in k
′ is the 95% confidence limit of the Student’s t-test. The progress of the oxidation was followed by iodometric determination of the oxidant. Freshly prepared solutions of oxoacids in purified acetic acid were used to avoid any possible side reactions.


## 2.3. Reaction Stoichiometry and Product Analysis

The stoichiometry of the reaction was determined by equilibrating reaction mixture of various [perborate]/[5-oxoacid] ratios at 313 K for 12 h, keeping all other reagents constant. Estimation of unconsumed perborate (iodometrically) revealed that one mole of 5-oxoacid consumed one mole of perborate:(1)The products were extracted with ether, dried, and analyzed. Benzoic acid was identified by its melting point (121°C). Then it has been estimated quantitatively using UV-Vis spectrophotometry with a standard curve atλ
max
⁡ = 235 nm. Succinic acid was identified by its melting point (185°C) and also tested with its characteristic spot test [27]. Identification of the products, namely, benzoic and succinic acids, was also made by comparing the R
f values of the authentic samples. Boric acid was identified by adding an alkaline solution of benzoin, resulting in the formation of a yellow-green fluorescent complex.


## 3. Results and Discussion

At fixed concentrations of acid and substrate, the decrease in the concentration of perborate is followed first order kinetics. The first order rate constants (k
1) were calculated from the linear plots (r≥ 0.98, s ≤ 0.03) of log[perborate] against time. Such plots are linear for more than three half-lives of the reaction (Figure 2). The k
1 value was independent of initial [perborate] for all the studied substrates.Figure 2
Typical first order plots in the perborate oxidation of 5-oxoacids.The reactions of all the studied 5-oxoacids are first order in the [substrate] (Table1) and in [
H
+
]
2 in the range of 0.5–4.0 mol dm−3 sulphuric acid (Table 2). From the Zucker-Hammett plots of log
⁡
k versus –Ho, the slopes obtained were in the range of 1.0–1.2, indicating the noninvolvement of water molecule in the rate determining step. The Ho values were taken from Long and Paul [28] assuming that the Ho values do not change much in a media containing acetic acid up to 50%.Table 1
Effect of varying [substrate] on the rate of perborate oxidation of 5-oxoacids at 313 ± 0.1 K. {[Perborate] = 0.001 mol dm−3; [H2SO4] = 2.0 mol mol−3; HOAc-H2O = 1 : 1% (v/v)}.
[5-oxo acid] (mol dm−3)
10
5
×
k
obs (s
-
1)a
p-OCH3
p-CH3
p-C6H5
−H
p-Cl
p-Br
m-NO2
0.005
95.91
13.44
9.43
6.36
2.14
1.77
0.77
0.01
191.9
26.85
21.67
12.78
4.25
2.15
1.52
0.015
287.9
40.33
29.98
19.20
6.40
4.43
2.34
0.02
383.7
53.71
36.71
25.59
8.51
5.74
3.05
0.03
575.8
80.59
60.76
38.14
12.78
8.92
4.56
0.04
767.7
107.5
124.91
51.13
17.15
12.53
6.05
0.06
1152
161.3
142.24
76.75
25.59
17.53
9.10
aMean of duplicate experiments.Table 2
Effect of varying [H2SO4] on the rate of perborate oxidation of 5-oxoacids at 313 ± 0.1 K. {[Substrate] = 0.01 mol dm−3; [perborate] = 0.001 mol dm−3; HOAc-H2O = 1 : 1% (v/v)}.
[H2SO4]  (mol dm−3)
−Ho
10
5
×
k (s
-
1)a
p-OCH3
p-CH3
p-C6H5
−H
p-Cl
p-Br
m-NO2
0.51
−0.13
11.89
2.31
1.87
1.58
—
—
—
0.75
0.07
29.93
4.38
3.28
2.88
—
—
—
1.01
0.26
47.98
7.68
5.19
4.52
1.27
1.21
1.18
1.49
0.56
95.96
15.98
12.67
8.84
2.32
1.98
1.26
2.01
0.84
191.9
26.87
19.28
12.78
4.26
3.09
1.52
2.49
1.12
287.9
47.98
38.69
25.59
7.19
5.16
2.57
3.00
1.38
479.8
134.3
79.81
34.85
12.79
7.28
3.97
4.01
1.85
1151
287.8
140.63
57.58
25.58
16.89
7.69
S
b
2.01
2.01
2.0
2.00
2.01
2.0
2.00
n
c
1.3
1.0
1.0
1.0
1.1
1.1
1.0
aMean of duplicate experiments; bslopes of log kversus log [H2SO4]; cslopes of the Zucker-Hammett plots.The effect of dielectric constant (D) on the rate of reaction was studied by varying acetic acid-water content in the reaction mixture. Acetic acid does not react with the oxidants [29], yet the rate of the reaction is enhanced by increasing acetic acid content of the medium (Table 3). Also, log
⁡
k against 1
/
D is found linear, suggesting a positive ion-dipole type of interaction [30] in the rate determining step.Table 3
Effect of varying solvent composition on the rate of perborate oxidation of 5-oxoacids at 313 ± 0.1 K. {[Substrate] = 0.01 mol dm−3; [perborate] = 0.001 mol dm−3; [H2SO4] = 2.0 mol mol−3}.
ACOH-H2O (v/v,%)
10
5
×
k (s
-
1)b
p-OCH3
p-CH3
p-C6H5
−H
p-Cl
p-Br
m-NO2
30 : 70 (53.18)
63.8
9.50
8.67
7.60
2.38
1.97
1.18
40 : 60 (46.48)
115.2
13.10
11.86
9.60
3.10
2.12
1.29
50 : 50 (39.78)
191.8
26.87
18.73
12.80
4.27
3.62
1.50
60 : 40 (33.08)
586
44.70
31.01
15.90
7.20
4.89
1.75
70 : 30 (26.38)
1751
162.9
71.23
38.30
12.80
7.61
2.69
aValues of dielectric constant of the media are given in parentheses; bmean of duplicate experiments.There was no induced polymerization of acrylonitrile monomer, ruling out the possibility of free radical formation during the course of the reaction.In the temperature range of 298–323 K in 2.0 mol dm−3 sulphuric acid and acetic acid-water medium (50% v
/
v) (Figure 3), the activation energy (E
a) and related thermodynamic parameters (Δ
H
#, Δ
G
#, and Δ
S
#) were evaluated. The plot between Δ
H
# and Δ
S
# is linear (Figure 4, r ≥ 0.98, s ≤ 0.028) and the isokinetic temperature (β) obtained is 357 K. The isokinetic relationship in the present study implies that all the 5-oxoacids undergo oxidation by the same mechanism [31].Figure 3
Arrhenius plots oflog
⁡
k against 1
/
T showing the isokinetic temperature.Figure 4
Plot ofΔ
H
# against -
Δ
S
# showing the isokinetic relationship.The effect of substituents on the rate of oxidation was studied using different phenyl substituted 5-oxoacids (ArCOCH2CH2CH2COOH, where Ar = 4′-methoxy, 4′-methyl, 4′-phenyl, 4′-chloro, 4′-bromo, 3′-nitro substituted phenyl) at different temperatures. In all these cases, the reaction orders are the same, namely, first order with respect to [oxidant] and [substrate] and second order with respect to [acid]. Electron releasing substituents in the phenyl ring enhance the rate of oxidation and electron withdrawing substituents decrease it (Table 4). The order of reactivity among the studied 5-oxoacids is p-methoxy ≫
p-methyl > p-phenyl > –H > p-chloro > p-bromo > m-nitrophenyl substituted 5-oxoacids. The Hammett plots of log
⁡
k versus σ (substituent constant) are smooth curves and concave downward, at all the studied temperatures. However, the Hammett plots are linear with good correlation coefficient at four different temperatures when exalted substituent constant (Brown’s σ
+) values are used (Figure 5). The reaction constant (ρ
+) is negative and decreases (in magnitude) from −1.65 to −1.32 with increasing temperature from 303 K to 323 K. The Hammett lines intersect at a point correspondent to a σ
iso
+ value of −1.42 and a k
iso value of 13.18 × 10−3 s−1 (Figure 5). An oxoacid with a substituent having this σ
+ value (−1.42) will be oxidized by perborate at the same rate at all temperatures. Such insensitivity of the reaction rate to temperature is a pointer to the existence of an isokinetic phenomenon.Table 4
Effect of substituent on the rate of oxidation of 5-oxoacids by perborate at 313 ± 0.1 K. {[Substrate] = 0.01 mol dm−3; [perborate] = 0.001 mol dm−3; [H2SO4] = 2.0 mol mol−3; HOAC-H2O = 1 : 1% v/v}.
Substituent
σ
σ
+
10
5
×
k (s
-
1)
5 + logk
p-OCH3
−0.27
−0.78
191.8
2.2829
p-CH3
−0.17
−0.31
26.9
1.4293
p-C6H5
−0.11
−0.22
18.8
1.2623
−H
0.00
0.00
12.8
1.1070
p-Cl
0.23
0.11
4.3
0.6299
p-Br
0.43
0.38
2.7
0.3470
m-NO2
0.71
0.67
1.5
0.1802Figure 5
Hammett plots oflog
⁡
k againstσ
+ at different temperatures.A reaction series which exhibits a common point of intersection in the Hammett plot (Figure5) is expected to have a common point of intersection in the Arrhenius plot as well [32]. From the plots of Δ
H
# against Δ
S
# and ρ against 1
/
T, the T
iso value is found to be 359 K, which is in good agreement with the value obtained from the slope of Exner’s plot.


### 3.1. Mechanism

In aqueous acetic acid the possible oxidizing species of perborate are perborate anion, perboric acid, peracetic acid, and H2O2. Even though isolation of free perboric acid has been proved exceedingly difficult, it has demonstrable existence in solution [33]. Perborate is reported to exist in a dimeric tetrahedral configuration with the anionic formula: B
2
(
O
2
)
2
(
OH
)
4
2
-. The oxidation has been carried out in aqueous acetic acid, and from the ionization constant of perboric acid, reported as (0.6–1.6) × 10−8, it may be concluded that perborate exists mainly as perboric acid in aqueous acetic acid, at very low pH maintained with sulphuric acid and hence is unlikely to be the oxidant. The rate of perborate oxidation in aqueous acetic acid compares with that in aqueous ethanol, and hence the oxidation is not through peracetic acid. H2O2 is less likely to be the oxidant as the rate of H2O2 oxidation is about one-fifth of that of perborate oxidation. The enhancement of reaction rate with an increase in the amount of acetic acid and linear plots of log
⁡
k versus 1
/
D with positive slopes indicate an interaction between a positive ion and a dipole molecule in the slow step. This supports the postulation of H
2
BO
3
+ as the reactive species of perborate in the acid medium. The rate acceleration with an increase in [acid] and second order dependence of rate on [acid] in the range studied also confirm that H
2
BO
3
+ is the reactive species of perborate taking part in the oxidation of 5-oxoacids.The oxoacid is a weak acid (p
K
a
=
5.77 at 40°C in aqueous solution) [34], and the undissociated form of the substrate can be taken as the only form in acidic media. In acid solutions, 5-oxoacid undergoes keto enol tautomerism (2):(2)In oxidation reactions, the keto group of the substrate can react either directly or through the enol form. Oxidation rates faster than the rates of enolization have been observed with ceric ion [35], manganic ion [36], cobaltic vanadate ions [37], mercuric perchlorate [38], and alkaline diperiodate argenate(III) [39] as oxidants, indicating that the keto group of the substrate reacts directly. All of these oxidants undergo one-electron reduction, and the reactions proceeded via a free radical mechanism [35–39].The rates of oxidation and enolization were found to be equal in the oxidation reactions by manganic pyrophosphate [40], thallium triacetate [41], and by diperiodatonickelate (IV) [42]. These reactions were zero order in [oxidant], indicating the enol formation as the rate determining step.In the present study, the rate of enolization (measured by the bromination method [43]) is greater than the rate of oxidation by a factor of ~13–15 and the enolization step can be visualized as proceeding via the enol form of the keto group of 5-oxoacid. Hence, the step involving enol formation can be assumed to be a fast step and thus is not the rate determining step of the reaction. The most plausible mechanism therefore seems to be shown in Scheme 1.Scheme 1
Formations of benzoic acid and succinic acid were the final products of oxidation.The proposed mechanism is also in accordance with the observed stoichiometry. The rate equation in consonance with the mechanism proposed is as given in the following equation:(3)
-
d
[
perborate
]
d
t
=
K
p
K
e
k
[
H
+
]
2
[
5
-oxoacid
]
[
perborate
]
.
The obtained rate law could explain the second order in [H+] and first order both in [perborate] and [5-oxoacid].


## 3.1. Mechanism

In aqueous acetic acid the possible oxidizing species of perborate are perborate anion, perboric acid, peracetic acid, and H2O2. Even though isolation of free perboric acid has been proved exceedingly difficult, it has demonstrable existence in solution [33]. Perborate is reported to exist in a dimeric tetrahedral configuration with the anionic formula: B
2
(
O
2
)
2
(
OH
)
4
2
-. The oxidation has been carried out in aqueous acetic acid, and from the ionization constant of perboric acid, reported as (0.6–1.6) × 10−8, it may be concluded that perborate exists mainly as perboric acid in aqueous acetic acid, at very low pH maintained with sulphuric acid and hence is unlikely to be the oxidant. The rate of perborate oxidation in aqueous acetic acid compares with that in aqueous ethanol, and hence the oxidation is not through peracetic acid. H2O2 is less likely to be the oxidant as the rate of H2O2 oxidation is about one-fifth of that of perborate oxidation. The enhancement of reaction rate with an increase in the amount of acetic acid and linear plots of log
⁡
k versus 1
/
D with positive slopes indicate an interaction between a positive ion and a dipole molecule in the slow step. This supports the postulation of H
2
BO
3
+ as the reactive species of perborate in the acid medium. The rate acceleration with an increase in [acid] and second order dependence of rate on [acid] in the range studied also confirm that H
2
BO
3
+ is the reactive species of perborate taking part in the oxidation of 5-oxoacids.The oxoacid is a weak acid (p
K
a
=
5.77 at 40°C in aqueous solution) [34], and the undissociated form of the substrate can be taken as the only form in acidic media. In acid solutions, 5-oxoacid undergoes keto enol tautomerism (2):(2)In oxidation reactions, the keto group of the substrate can react either directly or through the enol form. Oxidation rates faster than the rates of enolization have been observed with ceric ion [35], manganic ion [36], cobaltic vanadate ions [37], mercuric perchlorate [38], and alkaline diperiodate argenate(III) [39] as oxidants, indicating that the keto group of the substrate reacts directly. All of these oxidants undergo one-electron reduction, and the reactions proceeded via a free radical mechanism [35–39].The rates of oxidation and enolization were found to be equal in the oxidation reactions by manganic pyrophosphate [40], thallium triacetate [41], and by diperiodatonickelate (IV) [42]. These reactions were zero order in [oxidant], indicating the enol formation as the rate determining step.In the present study, the rate of enolization (measured by the bromination method [43]) is greater than the rate of oxidation by a factor of ~13–15 and the enolization step can be visualized as proceeding via the enol form of the keto group of 5-oxoacid. Hence, the step involving enol formation can be assumed to be a fast step and thus is not the rate determining step of the reaction. The most plausible mechanism therefore seems to be shown in Scheme 1.Scheme 1
Formations of benzoic acid and succinic acid were the final products of oxidation.The proposed mechanism is also in accordance with the observed stoichiometry. The rate equation in consonance with the mechanism proposed is as given in the following equation:(3)
-
d
[
perborate
]
d
t
=
K
p
K
e
k
[
H
+
]
2
[
5
-oxoacid
]
[
perborate
]
.
The obtained rate law could explain the second order in [H+] and first order both in [perborate] and [5-oxoacid].


## 4. Conclusions

The above study shows that theH
2
BO
3
+ reacts with the enol form of 5-oxoacid in the rate determining step, giving the cyclic boronate ester. Decomposition of the boronate ester results in the cleavage of the carbon-carbon bond, yielding carboxylic acids. This experimental protocol suggests that this reaction could find utility as a regioselective route for the synthesis of carboxylic acids, specially succinic and benzoic acids.



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*Source: 924827-2014-03-04.xml*