142
LEVANOV et al.
As a result of our calculations, we obtained the following constants and data on the composition of complexes:
Ion
Complex composition
K5
k6, min–1
k7, l mol–1 min–1
VO2+
Fe3+
Co2+
Does not contain H+
Contains two H+ and one O3
Contains one H+ and one O3
<10–2
50
k6K5 = 6.5
1.7
0
0
400
3.23
85
Note: Ionic strength, 1 mol/l; concentration of chloride ions, 1 mol/l; temperature, 20°C. The values of the stability constant K are given
5
on a mol/l concentration scale; however, the units are not specified because the true composition of the complexes is unknown.
The values of the rates of chlorine release were
In the case of catalysis by Co2+ ions (reaction (II))
obtained with the use of the above constants in model (Fig. 6), the catalytic effect increased with the concen-
calculations. A comparison between these values tration of H+; however, it also appeared at low concen-
(lines) and experimental data (points) is illustrated in trations of H+ ions. Hence, it follows that catalysis by
Figs. 1–6.
cobalt ions occurs via two reaction paths; H+ ions par-
ticipate in one of these and do not participate in the
other.
Let us consider the characteristics of the catalytic
effects of VO2+, Fe3+, Co2+, and Cu2+ ions in the reac-
tion of ozone with chloride ions in acidic solutions.
The reaction path in which the H+ ions do not partic-
ipate occurs either through the formation of trivalent
cobalt (reaction (VII)) and the oxidation of the chloride
ion by the trivalent cobalt (reaction (VIII)), or through
the formation of a particular catalytic complex (that
does not contain H+) and the degradation of this com-
plex, which results in the release of Cl2. These versions
are indistinguishable, given the condition that the sta-
bility constant of the catalytic complex is small. Note
that, although the formation of trivalent cobalt and its
capability to oxidize the chloride ion were supported
experimentally despite the catalytic complex being a
hypothetic species, it is impossible to exclude this com-
plex based on our experimental data.
As can be seen in Fig. 2, the difference between the
rates of chlorine release in the presence and in the
absence of VO2+ is independent of the concentration of
H+ ions and proportional to the concentration of VO2+.
This can be explained based on the assumption that a
catalytic complex free from H+ ions is formed, whose
stability constant is low. This complex reacts with the
formation of Cl2 and the regeneration of the vanadyl
ion. The following versions are indistinguishable: the
complex contains VO2+, Cl–, and O3 and decomposes in
a first-order reaction; the complex contains VO2+ and
Cl– and reacts with O3; and the complex contains VO2+
and O3 and reacts with Cl–.
In the catalysis by trivalent iron ions (Fig. 4), the
catalytic effect of Fe3+ increases with the concentration
of hydrogen ions. At sufficiently low concentrations of
H+, the catalytic effect of Fe3+ does not manifest itself.
Thus, the H+ ions take part in the catalysis by Fe3+ ions.
The catalysis by trivalent iron ions can be explained
based on the assumption that a catalytic complex is
formed that contains Fe3+; ozone; two H+ ions; and
(possibly) chloride ions; this complex decomposes with
the formation of chlorine and the regeneration of the
iron ion. The calculated and experimental curves of the
rate of chlorine release (the rate as a function of [H+] or
[Fe3+] is represented by a somewhat concave or convex
curve, respectively) coincide only on the assumption
that the complex contains two H+ ions and one ozone
molecule and decomposes in a (pseudo-)first-order
reaction. Thus, in this case, simulation allowed us to
draw conclusions on the composition of the catalytic
complex. The dependence of the rate of chlorine release
on [H+] and [Fe3+] in this system can be explained by
considering the release of chlorine without the partici-
pation of metal ions (reactions (I)–(IV)) and the steps of
complex formation and degradation (reactions (V) and
(VI), respectively).
The effects of the concentrations of H+ and Co2+ on
the rate of chlorine release in catalysis by bivalent
cobalt ions can be explained on the assumption that
catalysis with the participation of H+ ions occurs
through the formation of a catalytic complex containing
Co2+, ozone, one H+ ion, and (possibly) chloride ions.
This complex decomposes with the formation of chlo-
rine and the regeneration of Co2+. Coincidence between
the shapes of calculated and experimental curves of the
rate of chlorine release, plotted as a function of [Co2+]
and [H+] (both of these curves are convex and tend
toward saturation), is seen only upon the assumption
that the complex contains exactly one H+ ion and one
ozone molecule and decomposes in a (pseudo-) first-
order reaction. In this case, simulation allows one to
draw conclusions on the composition of the catalytic
complex.
Thus, the concentration dependence of the rate of
chlorine release in the test system can be explained by
considering the processes of chlorine liberation without
the participation of metal ions (reactions (I)–(IV)); a
catalytic reaction path without the participation of H+
(it is most likely that this path occurs via steps (VII) and
The catalytic effect of Cu2+ ions is analogous to that (VIII)); and a catalytic reaction path with the participa-
of Fe3+; however, it comes into play at higher concen- tion of H+, which occurs via steps (V) and (VI) of com-
trations of H+ (Fig. 4).
plex formation and decomposition, respectively.
KINETICS AND CATALYSIS Vol. 46 No. 1 2005