E.V. Rokhina et al. / Ultrasonics Sonochemistry 17 (2010) 541–546
545
Thus, calculated EE/O values for different processes such as son-
-2.3
-2.4
-2.5
-2.6
-2.7
-2.8
-2.9
-3.0
-3.1
-3.2
-3.3
-3.4
-3.5
-3.6
-3.7
olysis alone, H2O2 sonolysis and sono-catalytic oxidation of phenol
silent
US
are found to be, 31265.5, 2297.8, and 501.8 kW h mꢀ3 orderꢀ1
,
respectively. It is obvious that the energetically beneficial process
is the process with the highest removal efficiency and the highest
kinetic constant in accordance with Eq. (5).
4. Conclusions
The comparative kinetic analysis of both, silent and ultrasound-
assisted catalytic wet peroxide oxidation of phenol was performed.
Ultrasound acted as the oxidation process accelerator but was un-
able to direct the current reaction to an alternative pathway. It
substantially decreased the induction period and consequently de-
creased the half-life of the oxidation reaction. Moreover, it also sig-
nificantly lowered the energy barrier required for the oxidation of
phenol in comparison to the silent catalytic process. The activation
energy for the ultrasound-assisted process was 13 kJ molꢀ1 in com-
parison to 57 kJ molꢀ1 obtained for the silent catalytic oxidation
process. All the kinetic parameters efficiently described the studied
process. ‘Figures-of-merit’, calculated for sonolysis, H2O2 sonolysis
and sono-catalytic oxidation of phenol were reaction rate depen-
dent and thus could be used to rationally develop and improve
the treatment method.
0.0029
0.0030
0.0031
0.0032
1/T
0.0033
0.0034
0.0035
Fig. 4. Arrhenius plot demonstrating temperature dependence on apparent rate
constants (kapp).
It is consistent with the average activation energies of
30–60 kJ molꢀ1 for Fenton-like processes reported in literature
[24,25]. Lower activation energy for ultrasound-assisted process
may be due to that the rate of the sonochemical reaction is much
larger in comparison to the silent processes. Both, the activation
energy and the reaction rate depend on the conversion and the
direction of the temperature change [26]. However, the use of
ultrasound changes the kinetics but not the thermodynamics of
the process. This is also valid for ultrasound-assisted processes
where ultrasound irradiation decreases the energy barrier required
for the oxidation of phenol but does not change the nature of the
reaction. It is clearly seen from Fig. 3b that heat has a cooperative
effect with ultrasound when irradiation is applied at high
temperatures.
Acknowledgements
Ekokem Oy Foundation and Academy of Finland (Decision No.
212649) are greatly acknowledged for their financial support of
the research.
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where P is the power (kW), V is the reactor volume (m3) and kapp is
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