the internal bulk of the particulate catalyst is accessible to
both heat and reactants. As shown in Tables 1 and 2, the
catalytic reaction rate constants calculated with thin-films
and particulates are relatively similar. The rate constants at
However, as mentioned, a likely cause is that the majority
of the particulates is not efficiently illuminated. As shown in
the present study, when the catalyst is efficiently illuminated,
as with the thin-films, heterogeneous catalytic oxidation plays
a much smaller role in the overall reaction (at the temper-
atures investigated in this study).
7
0 °C are within 10%, and the rate constants at 107 °C are
within a factor of 2 (thin-films > particulates). The particulate
catalytic reaction rate constant at 107 °C may be slightly
underestimated since it is calculated based on a fractional
conversion of 1.0.
For purposes of illustration, it is possible to calculate
reaction rate constants using the data presented by Fu et al.
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(
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(
2) that are adjusted to account only for the particulate catalyst
(
3) Obee, T. N.; Hay, S. O. Environ. Sci. Technol. 1997, 31, 2034-
mass that is illuminated. The most meaningful comparison
of this type is for the unplatinized samples where photo-
catalysis is the only process occurringsthe platinized versions
include both photocatalytic as well as catalytic effects.
Assuming spherical particles with an average diameter of 1
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outer surface of each particle (a reasonable assumption
considering that the size of the particles is on the same order
as the inner diameter of the reactor, 2.4 mm), and a UV
penetration depth ranging between 1.0 and 4.5 µm [a 1 µm
penetration depth is obtained from data obtained in our
2
038.
(
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(
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6) Matthews, R. W. J. Phys. Chem. 1987, 91, 3328-3333.
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5
(
(
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laboratory using TiO thin films (25), and 4.5 µm is obtained
2
from the literature for Degussa P25 particles (26)], a semi-
quantitative estimate for the percentage of catalyst that is
actually illuminated can be set between 0.3 and 1.3%. This
estimate is obtained by subtracting the volume of a sphere
with a diameter of 1 mm (representing the total catalyst
particle volume) from the volume of a sphere with a diameter
of either 0.9955 or 0.9990 mm (representing the portion of
the catalyst particle volume that is not activated by UV light)
and dividing this difference by the total catalyst particle
volume. Dividing the unplatinized particulate reaction rate
constants listed in Table 2 by 0.003 and by 0.013 (to account
only for the portion of catalyst that is illuminated assuming
a penetration depth of 1.0 and 4.5 µm, respectively) yields
corrected values that bound the unplatinized thin-film
reaction rate constants measured in this study, as listed in
Table 1. More specifically, the corrected unplatinized par-
(12) Raupp, G. B.; Nico, J. A.; Annangi, S.; Changrani, R.; Annapragada,
R. AIChE J. 1997, 43, 792-801.
13) Zorn, M. E.; Tompkins, D. T.; Zeltner, W. A.; Anderson, M. A.
Appl. Catal. B: Environ. 1999, 23, 1-8.
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1995, 6, 209-224.
(
(
(15) Barksdale, J. Titanium: Its Occurrence, Chemistry, and Technol-
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(
16) Norris, J. D. Encyclopedia of Analytical Science, Vol. 9; Academic
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(
17) Jackson, N. B.; Wang, C. M.; Luo, Z.; Schwitzgebel, J.; Ekerdt,
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995, 157, 87-96.
1
-
4
(19) Hill, C. G., Jr. An Introduction to Chemical Engineering Kinetics
and Reactor Design; Wiley: New York, 1977; Chapters 3 and 6.
ticulate reaction rate constants range between 1.0 × 10
-
4
1/ 2 1/ 2 -1 -1
and 4.5 × 10 mol at 30 °C and between 2.0
L
g
s
(
20) Draper, N. R.; Smith, H. Applied Regression Analysis, 2nd ed.;
-
4
-4
1/ 2 1/ 2 -1 -1
×
10 and 8.5 × 10 mol
L
g
s
at 70 °C and 107 °C.
Wiley: New York, 1981; p 25.
This is excellent agreement considering the above-mentioned
assumptions and the less than rigorous estimation method
employed for this comparison.
(21) Fox, M. A.; Dulay, M. T. Chem. Rev. 1993, 93, 341-357.
(22) Izumi, I.; Dunn, W. W.; Wilbourn, K. O.; Fan, F. F.; Bard, A. J.
J. Phys. Chem. 1980, 84, 3207-3210.
(
23) Boudart, M.; Dj e´ ga-Mariadassou, G. Kinetics of Heterogeneous
Catalytic Reactions; Princeton University Press: Princeton, NJ,
The difference between thin-films and particulates with
regard to light distribution affects one of the major conclu-
sions drawn by Fu et al. (2): that “the role of increasing
reaction temperatures is mainly to increase the rate of
heterogeneous catalytic oxidation”. It was stated that at
temperatures above 60 °C, “conventional heterogeneous
catalytic oxidation may become the predominant reaction
1
984; p 23.
(24) Yamazaki-Nishida, S.; Nagano, K. J.; Phillips, L. A.; Cervera-
March, S.; Anderson, M. A. J. Photochem. Photobiol. A: Chem.
1
993, 70, 95-99.
25) Miller, L. Ph.D. Dissertation, University of Wisconsin-Madison,
998.
26) Peral, J.; Ollis, D. F. J. Catal. 1992, 136, 554-565.
(
(
1
on an illuminated Pt/ TiO
reached because at relatively high temperatures (i.e., above
0 °C), the rates of reaction with platinized particulates are
2
surface”. This conclusion was
Received for review November 8, 1999. Revised manuscript
received September 5, 2000. Accepted September 11, 2000.
7
very similar with and without the use of the UV lights (i.e.,
the effect of photocatalysis is observed to be very small).
ES991250M
5
2 1 0
9
ENVIRONMENTAL SCIENCE & TECHNOLOGY / VOL. 34, NO. 24, 2000