Pressure Effects on EnantioselectiVity
J. Am. Chem. Soc., Vol. 118, No. 6, 1996 1349
different from that in which the reaction occurs, is hence a less
meaningful kinetic parameter than true solution hydrogen
concentration.
A simplified description of the pathway followed by hydrogen
from the gas phase to its incorporation into the product is given
by the consecutive reaction network
the reaction depends on the relative magnitudes of these two
constants, and two extreme cases may be described. If the
hydrogen consumption rate of the reaction is very high, so that
the interfacial mass transfer rate is approached by that of the
reaction’s requirement for hydrogen, the solution becomes
starved for hydrogen and [H2] approaches zero. The maximum
observed rate is then dictated not by kinetics but by the driving
force for mass transfer, rmax
H2(g)kTLaH2(l)kTdissH* kkin8product
(1)
d[H2]
rmax
)
) kLa*([H2]sat)
(3)
where kLa, kdiss, and kkin represent forward rate constants for
each step, H2(g), and H2(l) represent gas and liquid-phase
hydrogen concentrations, and H* represents an intermediate
species associated with the catalyst. The relative rates of these
steps determine the relative concentrations of the species shown,
and it is only when kLa is very large compared to the other
constants that the first step in the sequence can be assumed to
be in equilibrium, and the solution concentration was assumed
to be [H2]sat. Thus an additional rate process, that of hydrogen
dissolution, must be considered in order to give an accurate
general description of the concentration of hydrogen available
for the catalytic reaction, which we will show has important
implications for enantioselectivity.
This paper describes two examples of asymmetric hydrogena-
tion studies from our laboratories, one heterogeneous and one
homogeneous catalytic reaction, in which marked changes in
enantioselectivity were observed for reactions carried out by
varying the solution concentration of hydrogen even while
maintaining the reaction vessel at constant hydrogen pressure.
Moreover, we demonstrate with the kinetic data from the classic
study of Landis and Halpern3 that it is possible to reproduce
their observed variation of enantioselectivity with pressure, while
holding hydrogen pressure constant and instead systematically
changing [H2] by varying the gas-liquid mass transfer rate. The
conclusion that the interplay of mass transfer and intrinsic kinetic
rate processes may have a profound effect on enantioselectivity
is of general significance for studies in this field, suggesting
that careful scrutiny of the results of other catalytic hydrogena-
tion reactions reported in the literature may be indicated.
dt
with the variables defined as in eq 2. This equation describes
the brief transient period which always occurs when hydrogen
is first introduced to a solution, and, in the case of poorly stirred
reactors, the condition of low [H2] may persist throughout the
course of the reaction. On the other hand, if the consumption
of hydrogen by the reaction is very slow, the input required to
maintain a steady high concentration of hydrogen is small, and
the solution concentration approaches its solubility limit, [H2]sat.
The rate of change of hydrogen concentration in the solution is
then dictated by the kinetics of the reaction. This case in fact
represents the implicit assumption made in the literature
discussed above.
Thus the solution concentration of hydrogen during reaction
depends on the relative magnitudes of the hydrogen input and
consumption terms, and both pressure ([H2]sat) and mass transfer
characteristics (kLa) as well as the intrinsic kinetic constant kkin
play a role in determining [H2]. The examples given in this
paper demonstrate how enantioselectivity may be influenced
by this interplay of mass transfer and kinetic rate processes,
even for reactions carried out at constant hydrogen.
Hydrogenation of Ethyl Pyruvate over Cinchonidine-
Modified Pt/Al2O3. Enantioselectivity in the hydrogenation of
R-keto esters to R-hydroxy esters over heterogeneous catalysts
has been reported to be affected by a number of variables
including hydrogen pressure, solvent, metal particle size and
structure, and type of support.9,13-17 In our studies of the
hydrogenation of ethyl pyruvate to (R)- and (S)-ethyl lactate
Results and Discussion
Gas-Liquid Mass Transfer. The mass balance for hydro-
gen in the liquid phase during a batch catalytic hydrogenation
reaction consists of a term for hydrogen input from the gas phase
and a term for consumption of hydrogen due to the reaction:
d[H2]
)
dt
kLa*([H2]sat - [H2]) - kkin*f{[H2];[catalyst];[substrate]}
accumulation ) input - consumption
(2)
we kept all of these variables constant, including hydrogen
pressure, and instead varied the effective solution hydrogen
concentration, [H2], by experimentally changing the gas-liquid
The hydrogen input term is equal to the rate of gas-liquid mass
transfer, a function of the mass transfer rate coefficient, kLa
(units of time-1), and a concentration driving force, which is
the difference between the equilibrium solubility of hydrogen
at reaction conditions, [H2]sat, and the actual solution concentra-
tion, [H2] (both with units of mol/volume). The hydrogen
consumption term is described by the kinetic rate law for the
reaction, which in the general case is a rate constant kkin (units
depend on the rate expression) multiplied by some function of
the catalyst, hydrogen, and substrate concentrations.
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A.; Wang, G.; Heinz, T.; Pfaltz, A. J. Catal. 1995, 154, 371.
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While kkin is an intrinsic kinetic property of the catalytic
system, kLa is strongly affected by characteristics of the reactor
vessel, including agitation speed. The magnitude of [H2] during