C. Wheeler et al. / Journal of Catalysis 223 (2004) 191–199
199
nearly independent of total surface area of the support which
7. Summary
varied by a factor of ∼ 170. Of course, the Pt surface area
may not have varied by this amount because the metal parti-
cle size may compensate for substrate area variations.
The results in this paper show that noble metal catalysts
with ceria can give very high water–gas-shift activity at very
short contact times. Further, these catalysts are very stable,
withstanding reaction conditions above 800 ◦C with no de-
tectable deactivation over many hours of operation.
These systems are very different than conventionalwater–
gas-shift catalysts in that we use very high metal and ceria
loadings and very low area catalyst supports. Therefore,
these catalysts have large particle sizes initially, and they
are therefore resistant to activity loss due to sintering. Re-
sults are insensitive to total surface area, although this is
not correlated with evidence of either mass-transfer or pore-
diffusion limitations.
The kinetics of these reactions is also remarkably simple,
being consistent with an elementary reaction that is first or-
der in all species and single activation energy for each metal
with or without ceria. However, we have not tested this ex-
pression under wide ranges in partial pressures, so deviations
may of course occur.
6. Mass-transfer and pore-diffusion limitations
Since one is interested in minimizing contact times of
reactants over the catalysts, this requires that catalyst be op-
timized to maximize mass-transfer and limit pore-diffusion
influences.
Mass transfer of reactants to the catalyst surface and mass
transfer of products from the surface are described by noting
that at steady state the mass flux from a flowing channel to
the catalyst surface must be equal to the reaction at an exter-
nal surface if mass transfer is rate controlling [17],
flux of reactant A = kmA(CA − CAs) = rate of reaction of A
= rꢀꢀ = kꢀꢀCAs
,
(20)
Catalysts of this type could be useful in small applications
where robustness is essential and catalyst cost is not a pri-
mary concern. However, while catalyst loadings are higher
than in conventional catalysts, the very short contact times
required compensates for the total amount of metal required,
and we have not attempted to optimize the amount of metal
needed.
where kmA is the mass-transfer coefficient, CA and CAs are
the concentrations in the flowing stream and at the catalyst
surface, respectively, and kꢀꢀ is the surface reaction rate coef-
ficient. In this expression we assume first-order, irreversible
reaction in the reactant A, from which the reaction rate ver-
sus the reactant concentration in the flowing stream is given
by
rꢀꢀ = kꢀꢀCA
(21)
Acknowledgments
if reaction limited, and
This research was partially supported by grants from NSF
and DOE.
rꢀꢀ = kmACA
(22)
if mass-transfer limited.
References
If the catalyst is a porous support layer impregnated with
the catalyst, the reactant concentration will decline through
the catalyst pore because of diffusion resistance, and the con-
sequent effect on rate is described by multiplying the rate at
the external surface of the porous catalyst by an effective-
ness factor η(φ), where φ is the Thiele modulus, defined as
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4kꢀꢀ
φ =
l,
(23)
dDA
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where d is the average pore diameter, DA is the diffusion
coefficient of A in the porous catalyst layer, and l is the pore
length.
In the limiting situation where φ ꢁ 1, the rate is predicted
to be proportional to kꢀꢀ1/2 which predicts an activation en-
1
2
ergy that is of the actual reaction activation energy. Since
the results are consistent with constant rate parameters at all
temperatures, we conclude that there is no evidence of ei-
ther external mass transfer (rate nearly independent of T)
1
2
and pore-diffusion limitation (activation energy of actual
value).