The Journal of Physical Chemistry A
ARTICLE
Activation Parameters. The enthalpy and entropy of activa-
tion of a chemical reaction provide valuable information about the
nature of the transition state, and hence about the reaction mechan-
ism. The temperature dependence of the reaction rate constant
was estimated by performing the kinetic runs at temperature range
10ꢀ30 °C. The energy of activation and enthalpy of activatiꢀo1n
values for the reaction were 50.0 kJ molꢀ1 and 47.6 kJ mol
,
.
respectively, and the entropy of activation was ꢀ658.7 J Kꢀ1 molꢀ1
High negative entropy of activation suggests that transition state
requires the reacting molecules to orient into compact conforma-
tions and approach each other at a precise orientation.
Product Identification and Characterization. The crude
product (0.54 g) of the AMꢀClO2 reaction was separated using
column chromatography with silica gel as the stationary phase.
The mobile phase consisted of a hexane:dichloromethane step
gradient: 100% hexane (fractions 1ꢀ20), 10% dichloromethane
in hexane (fractions 20ꢀ30), and 30% dichloromethane in hexane
(fractions 30ꢀ40). Fractions of 10 mL were collected in each
step. The purification of fractions 30ꢀ40 gave a pure compound,
which showed the MS m/z with relative intensities of 318 (25%),
316 (100%), 300 (18%), 288 (28%), 282 (70%), 202 (10%), and
122(16%); product P1 was identified to be 1,2-naphthoquinone
disulfonate. The mass spec peak patterns agreed well with com-
pound obtained as the oxidation product of similar azo dyes with
hydrogen peroxide.36 Further purification of fractions 20ꢀ30 by
elution with 40% dichloromethane in hexane afforded a second
major compound, P2 (5 mg). The oxidation products were
identified as P1 = 1,2-naphthoquinone disulfonate sodium salt
and P2 = 1,4 naphthalenedione. (See Supporting Information
Figures S1, S2, and S3). While the oxidation product P1 is re-
ported to be nontoxic, P2 (1,4- naphthalenedione) is reported to
be highly toxic in nature compared to starting material with ORL-
Figure 4. Plot of log k0/[ClO2] versus log [OHꢀ] for the reaction
[AMꢀ]0 (7.0 ꢁ 10ꢀ5 M) with [ClO2]t (1.15 ꢁ 10ꢀ3 M), [OHꢀ]eq (1.0
ꢁ 10ꢀ8 to 6.31 ꢁ 10ꢀ7 M).
ꢀ
r ¼ k1½ClO2ꢂ½AMꢂ þ kOH ½ClO2ꢂ½OHꢀꢂ½AMꢀꢂ
ð8Þ
¼ fk1 þ kOH ½OHꢀꢂg½ClO2ꢂ½AMꢀꢂ
ꢀ
¼ k½ClO2ꢂ½AMꢀꢂ ¼ k0½AMꢀꢂ
ð9Þ
where k0 is the observed pseudo-first-order rate constant in the
presence of excess concentration of chlorine dioxide. The second-
orderrate constant, k, is equal to k0/[ClO2], and for fixed [ClO2]0
it can be expressed as k = k0/[ClO2] = {k1 + kOH [OHꢀ]},
ꢀ
where k1 is the second-order rate constant ꢀfor the reaction be-
tween chlorine dioxide and dye, while kOH is the third-order
rate constant for the OHꢀ ion catalyzed reaction between chlorine
dioxide and dye. Margerum et al. during their studies on the
oxidation of nitrogen dioxide with chlorine dioxide under alka-
line conditions have suggested a catalytic role for hydroxide ion
with a preferential binding to NO2, yielding ClO2ꢀ and NO3ꢀ as
products.34 If the assumption is valid, then in the presence of
[OHꢀ], the plot of k0/[ClO2] versus [OHꢀ] should give a
straight line. Such a linear curve should have an intercept equal to
k1 and a slope equal to kOHꢀ. Most likely, such a linear relation-
ship may not be observed at high concentrations of hydroxide,
when [OHꢀ] reaches stoichiometric proportions of the dye. The
plot of the second-order rate constant, k versus [OHꢀ] is illustrated
in Figure 4. Table 3 summarizes the calculated values of the second-
order rate constant. It is observed in Figure 4 that the y-intercept
value (k1) is very small, suggesting that in the absence of hydroxide
ion, the reaction is very slow or almost nil, which can be predicted
from the reported inert behavior of chlorine dioxide at acidic pH.35
The catalytic constant for the hydroxide catalyzed reaction in the pH
range of 6.0ꢀ7.5 was 4.0 ꢁ 109 Mꢀ2 sꢀ1 (Figure 4).
RAT LD50 190 mg kgꢀ1 37
.
Stoichiometric Equation. Using 1.5 ꢁ 10ꢀ3 M ClO2, the
stoichiometry of the reaction mixture was maintained with 1:1
and 1:5 ratios of amaranth and chlorine dioxide respectively. After a
30 min reaction, the residual amount reacted was determined, and
the amounts reacted were estimated. The stoichiometry was found
to be approximately 1:6 ((10%) of AMꢀ and ClO2. Thus, the
stoichiometric equation for the overall reaction can be written as
Oakes et al. during the oxidation of substituted arylazonaphthols
by hydrogen peroxide and Karkmaz et al. during the photocata-
lytic oxidation of amaranth have reported a quantitative conver-
sion of azo group to nitrogen.38,39 During the ozone initiated
oxidation of amaranth, no sulfate ion was detected as the product
immediately after the dye decolorization,40 but with extensive
mineralization of amaranth by ozone, sulfates were reported as
oxidation products.41 In the current study, immediately after the
decolorization of the dye with barium ion test, no sulfate was found
in the reaction mixture.
(c). Kinetic Salt Effect. From the studies of the reaction under
varied pH conditions, it is evident that the rate-limiting step in-
volves hydroxide ion. To confirm this assumption, the kinetic salt
effect on the reaction was investigated by measuring the reaction
rates at fixed concentrations of amaranth and chlorine dioxide,
but at varied ionic strengths. The plot of log k0 versus the square
root of ionic strength gave a positive slope (0.94), with a cor-
relation coefficient of R2 = 0.98, confirming that the rate-limiting
step involves like charges, possibly [OH
̅
] and AMꢀ. Assuming
that the main pathway of oxidation is OHꢀ catalyzed, and its re-
action order is unity, the overall third-order reaction coefficients
were calculated.
Reaction Scheme. The electrophilic attack by chlorine dioxide
on the nitrogen atom of AMꢀ abstracting an electron results
in the intermediate Int1. Int1 could resonate between three struc-
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dx.doi.org/10.1021/jp206175s |J. Phys. Chem. A 2011, 115, 11682–11688