R. Fonocho et al. / Electrochimica Acta 75 (2012) 171–178
175
The observed shift in cathode potential (∼0.03 V) corresponds to
an equilibrium hydrogen pressure of only about 0.1 atm at low
current density indicating that the hydrogenation reaction con-
sumes a substantial portion of the hydrogen that migrates across
the membrane into the cathode compartment under these con-
ditions. At very low currents, the hydrogenation reaction occurs
spontaneously and does not involve the consumption of external
power. The main loss mechanism in the reactor is, in fact, due to IR
loss in the membrane. Selection of the optimum operating current
for the reactor will depend on a trade-off between operating and
capital costs.
result, adsorbed hydrogen radicals are expected to become readily
available on the cathode catalyst. We suspect that any adsorbed o-
xylene will be quickly removed and replaced by adsorbed hydrogen
radicals.
In initial attempts at modelling the hydrogenation of o-xylene,
we attempted to fit the hydrogen utilization and polarization data
to a Jenkins–Rideal type model assuming that once the initial
aromatic bond had been hydrogenated by two hydrogen atoms,
the hydrogenation of the remaining bonds proceeded very rapidly
once again with the consumption of 6 hydrogen atoms. Using this
assumption, we found we were unable to fit both the polariza-
tion and hydrogen utilization data adequately. The high rate of
hydrogen consumption shifts the cell potential to higher positive
potentials than are observed experimentally at low currents. We
found, however, that we were able to get a good fit to the exper-
imental data using the Jenkins–Rideal model if we assumed that
the hydrogenation of each aromatic bond proceeded sequentially
series at the same rate. As mentioned earlier, in our experiments
we have not analysed the product stream to determine if signif-
icant amounts of mono- or di-enes are being formed but based
on previous studies with benzene [19] in our model we assume
that 1,2-dimethylcyclohexane and molecular hydrogen are the only
products.
4. Modelling o-xylene hydrogenation
4.1. Hydrogenation mechanism
In our studies, we have not analysed the product stream and
do not know if significant amounts of mono- or di-enes are being
formed. It is our assumption, that similar to the catalytic hydro-
genation of benzene [19], once the first bond in an o-xylene is
hydrogenated, hydrogenation of the other bonds will follow to give
a completely saturated product. The anodic reaction can be written
as
6H2 ⇔ 6H+ + 6e−
(7)
While the cathodic reaction is assumed to be
6H+ + 6e− + o-xylene ⇔ 1, 2-dimethylcyclohexane
4.2. Modelling results
(8)
The overall reaction in the cell is assumed to be the hydrogena-
tion of o-xylene to form 1,2-dimethylcyclohexane according to the
reaction:
A zero-dimensional model, similar to that used by Zhang [24],
has been used to model the reactions at the cathode. In this
model it is assumed that the cathode chamber is perfectly mixed
and that diffusion across the gas diffusion layer is rapid so that
bulk concentrations are present at the catalyst surface. The cath-
ode reactions are assumed to consist of the reversible hydrogen
adsorption/desorption reaction, the reversible hydrogen electro-
oxidation/reduction reaction as well as an irreversible xylene
hydrogenation reaction as shown in Eqs. (1)–(3).
6H2 + o-xylene ⇔ 1, 2-dimethylcyclohexane
(9)
The above equations describe the overall reactions in the cell but do
not describe the detailed mechanism by which the hydrogenation
occurs. Of the many mechanisms postulated for the hydrogena-
experiments with ethylene, are often referenced:
4.1.1. Jenkins–Rideal mechanism
ꢀ
ꢁ
˛FꢀC
RT
−→
In the Jenkins–Rideal mechanism [20], the hydrogen radical that
with the unadsorbed unsaturated hydrocarbon.
rH,red = −rH,ox = −2 k H,oxꢂH sinh
(10)
Eq. (10) gives the rate at which protons are reduced at the cathode
to form adsorbed hydrogen atoms as shown in Eq. (1).
4.1.2. Horiuti–Polanyi mechanism
−→
rhydrog. = k hydrog.CoXꢂH2
(11)
rated hydrocarbon is first adsorbed on the catalyst surface with
hydrogenation then proceeding via reaction with atomic hydrogen
radicals that were dissociatively adsorbed on the catalyst surface.
genation of benzene.
Eq. (11) gives the rate of the desirable o-xylene hydrogenation reac-
tion as shown in Eq. (2).
−→
−→
rH,des = −rH,ads = k H,adsKHꢂH2 − k H,adsPHb ꢂ02; ꢂ0 = 1 − ꢂH
(12)
s
Eq. (12) gives the rate of the undesirable reaction, the formation
of hydrogen gas. Since the hydrogen atom surface coverage, ꢂH,
is potential dependent, all of the above rates (Eqs. (10)–(12)) are
expected to be potential (current) dependent.
4.1.3. Twigg mechanism
The Twigg mechanism [23] combines features of both of the
above models in that it is assumed that molecular hydrogen from
the gas phase reacts with adsorbed hydrocarbon to add one of its
hydrogen atoms to the hydrocarbon with the other forming an
adsorbed hydrogen radical and that further hydrogenation occurs
with the addition of an atomic hydrogen radical.
All three of these mechanisms result in the same final products.
We have given preference, however, to the Jenkins–Rideal mech-
anism because, of the three, it appears to be most applicable to
electrochemical hydrogenation and we have used this mechanism
in our model. This mechanism is expected to be dominant because
hydrogen is being continuously transferred from the anodic com-
partment to the cathodic compartment by the current and, as a
Using the rate expressions given above, the following set of six
coupled ordinary differential equations can be derived considering
the time dependence of the surface species, ꢂH, the material balance
at the cathode (CobX, Cb , PHb and ꢃH2 ) and conservation of charge
dMC
at the cathode (ꢀc). All of the2se parameters depend on current and
time and are thus variable in the calculation.
Using the rate expressions given above, the time dependence of
the hydrogen surface coverage can then be expressed as follows.
dꢂH
dt
1
FꢄCt
=
(rH,ads − rH,ox − rhydrog.
)
(13)