Vol. 30, No. 9 (2018)
Kinetics of Oxidation of Atropine by K2Cr2O7 in Acidic Aqueous Solutions 2105
nm decay with time, while the absorbance at 570 nm increases.
The observation of isosbestic point (centered at λ = 520 nm)
indicates that the stoichiometry of the reaction remains un-
changed during the chemical reaction and that no competing
reactions occur during the considered time range. At the end
of the redox reaction, the bands from 520-700 nm indicates
the formation of Cr(III) product [20]. It is well-established that
both Cr(V) and Cr(IV) species absorb at 350 nm, consequently,
Cr(V)/Cr(IV) contributions have to be taken into account when
interpreting the absorbance decay [21]. Nevertheless Cr(IV)
species are unstable oxidation state throughout the reduction
of chromium ion from hexavalent to trivalent states. It implies
that the decay rate of Cr(IV), if present, will take place at a
much higher rate compared to that of Cr(VI) which will ultimately
lead to a little contribution to the absorbance measured at 350
nm.
were carried out for each concentration and the average value
of the observed rate is reported. Experimental errors in value
of rate constant are estimated to be ~ 10 %.
The observed rates constant of the reaction (kobs) at various
concentrations of Cr2O72– and constant [ATN], with [ATN] 〉〉
[Cr2O72–] are shown in Table-1.
TABLE-1
KINETICS RESULT FOR THE OXIDATION OF
ATROPINE BY K2Cr2O7 AT CONSTANT [ATN];
[ATN] = 1.00 × 10–2 M. Average kobs = (7.54 0.8) × 10–3 s–1
Run No.
[Cr2O72–] (mol L–1)
2.00 × 10–3
kobs × 103 (s–1)
1
2
3
4
5
7.55
8.27
6.82
7.50
1.75 × 10–3
1.50 × 10–3
1.00 × 10–3
6.70 × 10–4
7.54
The involvement of free radicals in this reaction has been
ruled out by addition of acrylonitrile or HgCl2 to the reaction
mixture with the observations that are consistent with that
conclusion.
Kinetics: The rate of oxidation of atropine (ATN) by
H2CrO4 is given by:
Table-1 shows that the values of kobs are constant within
experimental errors, indicating that the oxidation rate of
atropine by K2Cr2O7 is first order with respect to [K2Cr2O7]
according to eqn. 4.
The effect of concentration of atropine on reaction rate
was studied. The observed rate of reaction was measured at
various concentrations of atropine while keeping the concen-
tration K2Cr2O7 constant. Results are shown in Table-2.
Rate = k [ATN]a[H2CrO4]b
(1)
where k is the reaction rate constant, a & b are orders of reaction
with respect to concentrations of atropine and H2CrO4, respect-
ively. The concentration of H+ was kept constant at 17 M through-
out all kinetics measurements. Under pseudo-first order conditions
in which [ATN] 〉〉 [H2CrO4], the concentration of atropine is
essentially constant throughout the reaction. The reaction rate
is thus given by:
TABLE-2
KINETICS RESULT FOR THE OXIDATION OF
ATROPINE BY K2Cr2O7 AT CONSTANT [Cr2O72–];
[Cr2O72–] = 1.00 × 10–3
M
Run No.
[ATN] (mol L–1)
2.00 × 10–2
1.75 × 10–2
1.50 × 10–2
1.00 × 10–2
0.75 × 10–2
0.50 × 10–2
kobs × 103 (s–1)
14.9
1
2
3
4
5
6
d[H2CrO4 ]
13.5
10.7
7.50
5.74
Rate ≈ −
= kobs[H2CrO4 ]b
(2)
(3)
dt
where kobs is the observed rate of reaction, given by:
kobs = k [ATN]a
3.19
where k is the rate constant of reaction (1).
The overall rate constant for oxidation of atropine by
K2Cr2O7, k, and the order of the reaction with respect to [ATN],
a, were found from the intercept and the slope, respectively,
of a plot of ln (kobs) versus ln [ATN] according to eqn. 3. The
slope represents the order (a ≈ 1) and eintercept represent k, equals
(1.04 0.1) × 10–1dm3 mol–1 s–1.
For a first-order dependence of reaction rate on [H2CrO4],
i.e. b = 1, experimental absorbance-time data pairs were fitted
to the exponential function:
(A∞ - At) = (A∞–A0) exp(–kobs t)
or
Effect of temperature: Effect of temperature on reaction
rate was studied at various temperatures keeping concentrations
of atropine and K2Cr2O7 constant. As expected, the observed
rate and the rate constant of the reaction increase as temperature
increases.
(A∞ − At )
(A∞ − A0 )
ln
= −kobst
(4)
where At is the absorbance of the reaction mixture which is
mainly due to H2CrO4 at a given time (t) through the reaction,
A0 is its initial absorbance (t = 0) and A∞ is the absorbance of
the mixture at the end of the reaction, that is when the absor-
bance no longer changes with time (t = ∞).
Using Arrhenius equation:
k = A e-Ea/RT
Experimental results showed that a plot of ln [(A∞ – At)/
(A∞ – A0)] vs. time gives a straight line. Its slope represents
the rate of disappearance of H2CrO4, The value of kobs (s–1)
was obtained from the slope, according to eqn. 4. Using eqn.
3, a plot of ln kobs vs. ln [ATN]a is a straight line that gives the
reaction rate constant, k, in units of dm3 mol–1 s–1 (intercept) and
the order of the reaction (a) with respect to [ATN] (slope). At
specific concentrations of substrate and oxidant, several trials
or
Ea
ln k = ln A −
(5)
RT
The activation energy (Ea) and the Arrhenius factor (A)
were obtained by plotting ln k versus (1/T). Results are shown
in the Table-3. It was found that Ea = 33. 70 kJ, A = 8.14 × 105
dm3 mol–1 s–1.