INORGANIC AND NANO-METAL CHEMISTRY
7
K K ½BATꢅ ½TAUꢅ½H Oꢅ
parameters (Table 4) have been deduced from the linear
0
0
5
6
t
2
½
X ꢅ ¼
(14)
(15)
ꢀ
plots of log Kc versus 1/T (r > 0.9998). Further, for standard
½
OH ꢅ þ K ½H Oꢅ þ K K ½TAUꢅ½H Oꢅ
5
2
5
6
2
0
0
run at 313 K, plots of k versus [Ru(III)] and k versus
From rate-limiting step (iii),
[
Os(VIII)] were found to be linear (r > 0.9986) leading to an
ꢀ
4
ꢀ1
ꢀ4 ꢀ1
0
0
rate ¼ k ½X ꢅ½OsðVIIIÞꢅ
intercept equal to 0.21 ꢂ 10
s
and 0.16 ꢂ 10
s
for
7
Ru(III) and Os(VIII), respectively. These values are highly
comparable with the rate constants obtained experimentally
for the uncatalyzed reactions at 313 K (Table 3). This indi-
cates that both catalyzed and uncatalyzed reactions proceed
in parallel way. Furthermore, the observed kinetic results
indicate that the Ru(III) and Os(VIII) catalyzed reactions
are, respectively, about 16-fold and 28-fold faster than their
corresponding uncatalyzed reactions. The difference in the
reactivity of Ru(III) and Os(VIII) catalysts toward the oxida-
tion of TAU by BAT is due to the electrons present in the
d-orbital. The greater efficiency of osmium to catalyze the
00
Substituting for [X ] from Equation (14) into Equation
15) and solving, we get
(
K5K6k7½BATꢅ ½TAUꢅ½OsðVIIIÞꢅ½H2Oꢅ
t
rate ¼
(16)
ꢀ
½
OH ꢅ þ K ½H Oꢅ þ K K ½TAUꢅ½H Oꢅ
5
2
5
6
2
0
Since rate ¼ k [BAT] , under pseudo-first order condi-
t
tions of [TAU] ꢁ [BAT] , rate law (16) can leads to
o
o
Equation (17)
K5K6k7½TAUꢅ½OsðVIIIÞꢅ½H2Oꢅ
=
k ¼
(17)
ꢀ
½
OH ꢅ þ K ½H Oꢅ þ K K ½TAUꢅ½H Oꢅ
5
2
5
6
2
o
oxidation of TAU by BAT is because of its d electronic
5
The rate law (17) is in good agreement with all the
observed results and it can be rewritten as:
configuration as compared to ruthenium having d elec-
tronic configuration. Thus, the catalytic efficiency of metal
ion decreases as the number of electrons in the d-orbital
ꢀ
1
½OH ꢅ þ K
1
5
[
46]
¼
þ
(18)
increases.
As seen in Schemes 2 and 4 the metal ion
k= K K k ½TAUꢅ½OsðVIIIÞꢅ k7½OsðVIIIÞꢅ
5
6 7
undergoes reduction momentarily when it is attached to oxi-
0
The double reciprocal plot of 1/k versus 1/[TAU] (Figure dant/oxidant–substrate complex and after this the metal ion
) of Equation (18) is linear (r ¼ 0.9830) and from the inter- comes back to its original state. Hence, in the present study
3
cept, the value of decomposition constant (k ) has been eval- the observed trend is based on the d electronic configuration
7
3
uated and found to be 1.8 dm /mol/s. If K is assumed to be of the metal ions.
5
ꢀ
small, the slope ([OH ] þ K )/K K k [TAU][Os(VIII)] of
5
5
ꢀ
6 7
Equation (18) becomes [OH ]/K K k [TAU][Os(VII)].
5
6 7
Conclusion
From this slope, the value of K K is calculated and found
5
6
3
to be 0.80 dm /mol.
The kinetics of oxidation of taurine by BAT in HCl
medium, catalyzed by Ru(III), and in NaOH medium, cata-
lyzed by Os(VIII) has been studied at 313 K. The stoichiom-
etry and oxidation products are same in both the media.
But, their kinetic and mechanistic behaviors are found to be
different under identical set of experimental conditions.
Suitable reaction schemes and kinetic models have been
designed in both the cases. Thermodynamic parameters
have been evaluated for catalyzed and uncatalyzed reactions.
Catalytic constants and activation parameters are also calcu-
lated with reference to Ru(III) and Os(VIII) catalysts. The
observed kinetic results indicate that Ru(III) and Os(VIII)
catalyzed reactions are 16-fold and 28-fold faster than the
uncatalyzed reactions. This difference in the efficiency of
catalysts in catalyzing the TAU-BAT redox system is attrib-
uted to the difference in d electronic configuration of metal
ions. Further, it can be concluded that Ru(III) and Os(VIII)
act as efficient catalysts for the oxidation of taurine in acid
and alkaline media, respectively.
The proposed Scheme 3 and derived rate law (16) are
supported by the following facts; the negative dielectric
effect observed indicates the dipole–dipole interaction in the
0
rate determining step. The solvent isotope effect k (H O)/
2
0
k (D O) > 1 in Os(VIII) catalyzed reaction, is generally cor-
related with greater basicity of OD as compared to
2
ꢀ
ꢀ
[41,42]
OH .
The mechanism is supported by the moderate
values of energy of activation and thermodynamic parame-
ters (Table 3). The fairly high positive values of free energy
of activation and enthalpy of activation indicating the transi-
tion state is more solvated. The high rate constant for the
slow step indicates that the oxidation presumably occurs via
[
43,44]
an inner-sphere mechanism.
The activation parameters
calculated for catalyzed and uncatalyzed reactions explain
the catalytic effect on the reaction rate. The catalyst,
00
Os(VIII), coordinates to the complex (X ) and activates it
by stabilizing the charge on its nitrogen than that with-
out catalyst.
[
45]
It has been observed by Moelwyn-Hughes
that in the
presence of catalyst, the uncatalyzed and catalyzed reactions
proceed simultaneously so that:
Acknowledgments
k1 ¼ k0 þ KC½catalystꢅx
(19) The authors are thankful to BMSCE, Department of Chemistry,
Karnataka, India for providing the facilities. One of the authors (NS) is
Here, k and k are the rate constants for catalyzed and
1
0
grateful to Rajya Vokkaligara Sanhga, and Principal, Bangalore
uncatalyzed reactions, respectively, Kc is catalytic constant Institute of Technology, Karnataka, India for the support.
and x is the order of the reaction with respect to catalyst. In
the present studies, ‘x’ value was found to be unity for both
Ru(III) and Os(VIII) catalysts. From the calculated values of
Disclosure statement
KC at different temperatures, the corresponding activation No potential conflict of interest was reported by the authors.