5
60
LEVANOV et al.
Mn(III) + O3
Mn(V) + O3
Mn(V) + é ,
(3)
R [Mn(V)] = R [Mn(III)] .
(7)
2
2
∞
3
∞
–
ånO + é .
(4) The concentrations in the stationary state are denoted
by subscript ∞.
4
2
The scheme is based on the data on permanganate ion
–
In our experiments, the chlorine formation rate was
measured under stationary conditions. Chlorine is
+
–
concentration changes in the é –MnO –H –Cl sys-
tem, data on the interaction of é with Mn (see formed in reactions (1) and (2) and in the reaction
above), and data on the kinetics of interaction between between Cl and é without permanganate ion partici-
3
4
3
+
3
–
3
–
4
pation. The following equation therefore follows from
the above scheme for the experimentally determined
chlorine release rate:
–
MnO and Cl in acid media (see our work [4]). The
scheme only includes the main processes that lead to
the formation of Cl and, in particular, ignores the for-
2
mation of hydrated MnO precipitates at low acidities.
2
dn
dn
Cl2
1
Cl2
–
–
4 ∞
–
- -- --------- --
= (O , Cl ) + R [MnO ]
-----------
3
1
According to [4], the reaction between MnO and
Cl in acid media involves two steps (steps (1) and (2)
4
V dt
Vdt
R [Mn(V)] .
(8)
–
+
2
∞
in the scheme given above). The reagent concentration
dependence of the rate at stage (1) is given by the equa-
tion
dn
Cl
2
–
Here, --------- -- (O , Cl ) is the rate of chlorine formation
3
–
4
+
2
–
2
Vdt
w = k [MnO ][H ] [Cl ] ,
1
1
–
from Cl under the action of ozone only. This rate can
(5)
4
4
be calculated using our data from [2]. Its dependence
k = 0.098 l /(mol min) [4].
1
on acidity is shown in Fig. 1 (curve 3 was obtained in
At stage (1), permanganate ions are consumed, and one calculations based on the data from [2] and symbols are
–
4
–
4
the experimental values). Using (6) to describe
Cl molecule per MnO ion is formed; MnO is
2
–
reduced to manganese compounds containing manga- [Mn(V)] through [MnO ] measured experimentally
∞
4
∞
nese in the oxidation degree intermediate between +7
and +3. Supposedly, Mn(V) is formed: this is our work-
yields
ing hypothesis. At stage (2), the second Cl molecule
2
dn
dn
–
1
Cl2
Cl
–
–
2
and Mn(III), which is the final MnO reduction prod- - -- --------- -- = --------- -- (O , Cl ) + R [MnO ] {1 + R /R }.(9)
4
3
1
4
∞
2
4
V dt
Vdt
uct, are formed. It was shown in [4] that it was Mn(III)
that was the final product of the reaction between
–
4
dn
dn
Cl
2
–
1
Cl
2
–
MnO and Cl in acid media at room temperature.
Here, the - -- --------- -- , --------- -- (O , Cl ), and R values are
3 1
V dt
Vdt
–
4
The regeneration of MnO
from the products of its
known (R is calculated by (5)), and we can therefore
1
reduction is described by stages (3) and (4).As has been
calculate the ratio between the specific rates R /R in
each experiment. We found that this ratio was R /R ≈
2
4
shown above, the oxidation of Mn(III) with ozone does
2
4
–
3
indeed produce MnO .
4
1.8 (at cO3 = 10 g/m ) in all experiments. The chlorine
It is assumed that reactions (1)–(4) are first order in formation rates calculated by (9) with the use of the
the concentrations of the corresponding manganese
dn
Cl
2
–
compounds. This is substantiated by the observation ratio R /R = 1.8 and the known --------- -- (O , Cl ) and R
2
4
3
1
Vdt
values are shown in Figs. 1 and 2 (solid lines 1).
–
4
that the ratio between the stationary and initial MnO
–
+
–
concentrations in the é –MnO –H –Cl system does According to these figures, (9) is in agreement with the
3
4
–
4
rates of chlorine formation observed experimentally.
Equation (9) was obtained within the framework of
Scheme (1)–(4), according to which the reduction of
not depend on the initial concentration of MnO (see
table). The rate w of stage i is then equal to the product
i
of the specific rate R by the concentration of the corre-
–
4
–
i
MnO to Mn(III) and the oxidation of Mn(III) to
sponding Mn compound. For instance, for reaction (1),
–
4
MnO proceed via the same intermediate compound.
+
2
– 2
4
we have w = R [MnO ], where R = k [H ] [Cl ] and
1
1
1
1
The conclusion that the consumption and regeneration
4
4
k = 0.098 l /(mol min).
–
–
4
1
+
–
of MnO in the é –MnO –H –Cl system involves the
4
3
As has been mentioned above, stationary regime is
established in the reactor as time passes. The rates of
formation and consumption of manganese compounds
in various oxidation states are then equal, that is,
same intermediate compound is substantiated by the
possibility of correctly describing the experimental
chlorine release rates with the use of Eq. (9).
–
4
The opposite suggestion that the reduction of MnO
and oxidation of Mn(III) proceed via different interme-
–
4
R [MnO ] = R [Mn(V)] ,
(6)
1
∞
4
∞
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY Vol. 80 No. 4 2006