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i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 2
Available online at w
journal homepage: www.elsevier .com/locate/he
Gas permeation in perflurosulfonated membranes:Influence of temperature and relative humidity
Marco Giacinti Baschetti a,*, Matteo Minelli a,b, Jacopo Catalano c,Giulio C. Sarti a
aDipartimento di Ingegneria Civile, Chimica, Ambientale e dei Materiali (DICAM),
Alma Mater Studiorum e Universita di Bologna, via Terracini 28, I-40131 Bologna, ItalybCentro Interdipartimentale per la Ricerca Industriale e Meccanica Avanzata e Materiali (CIRI-MAM),
Alma Mater Studiorum e Universita di Bologna, ItalycDepartment of Engineering, Aarhus University, Langelandsgade 140, 8000 Aarhus C, Denmark
a r t i c l e i n f o
Article history:
Received 5 March 2013
Received in revised form
13 June 2013
Accepted 24 June 2013
Available online 26 July 2013
Keywords:
Perflurosulfonated membranes
Gas permeability
Nafion
Aquivion
Humid gas permeation
* Corresponding author. Tel.: þ39 (0) 51 2090E-mail address: [email protected] (
0360-3199/$ e see front matter Copyright ªhttp://dx.doi.org/10.1016/j.ijhydene.2013.06.1
a b s t r a c t
The permeation of CO2, O2, N2 and He in two perfuorosulfonated ionomer (PFSI) mem-
branes, Nafion� 117 and Aquivion�, has been studied as a function of temperature and
relative humidity. Experiments were carried out in wide ranges of temperatures (25e65 �C)
and relative humidity (0e80%), by means of a manometric apparatus specifically developed
to that aim.
The results showed the marked effect of the presence of water on the gas transport
properties of the hydrophilic materials studied. Indeed, when the relative humidity is
raised to 70%, the permeability of the different gases increases up to two orders of
magnitude with respect to the values obtained in dry conditions.
The two materials showed very similar permeability values, and differences seldom
exceeded 20%. An analogous behavior was also observed for temperature dependence of
gas permeability in the two PSFIs, that indeed followed an Arrhenius behavior, in both dry
and humid conditions. The activation energies were slightly higher for Nafion than for
Aquivion in dry conditions, but very similar values were observed at higher water contents.
At high relative humidity, gas permeabilities in PFSIs are similar to those in pure water,
suggesting that permeation in hydrated PSFI is controlled by sorption and diffusion of the
penetrant in the water-filled channels present inside the matrix.
Copyright ª 2013, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights
reserved.
1. Introduction dioxide, depending on the type of FC considered, and they
Perflurosulfonated ionomers (PFSIs) are of high interest for
energy applications due to their potential use as proton ex-
change membranes (PEMs) in hydrogen or methanol based
fuel cells (FC) [1,2]. In such applications, PEMs are exposed to
different gases like hydrogen, oxygen, nitrogen and carbon
408; fax: þ39 (0) 51 63477M. Giacinti Baschetti).2013, Hydrogen Energy P04
operate at various conditions, both in terms of temperature
and relative humidity (R.H.). For these reasons, the knowledge
of gas permeability of the different penetrants in such mate-
rials as a function of temperature and R.H. is of interest for a
proper physical modeling of the whole system and to obtain a
quantitative estimation of undesired processes, such as
88.
ublications, LLC. Published by Elsevier Ltd. All rights reserved.
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 211974
oxygen or hydrogen crossover, which affect FC efficiency.
Different studies available in the technical literature
addressed these issues [3e15], however the complete and
systematic investigation of these features with a thorough
material characterization is still missing for many of the PSFIs
now available.
Apart from Nafion, whose properties have been investi-
gated by many authors [8e14], few reports on mass transport
properties of PSFIs are present in the open literature, espe-
cially concerning the effect of temperature and/or of the R.H.
on the gas permeability behavior. Indeed, such studies are
very limited in number and scope, covering only few exam-
ples of sulfonated materials, such as the already recalled
Nafion [8e14], sulfonated poly(arylene ether sulfone) [15], or
sulfonated poly(ether ether ketone) [11].
Aquivion [12] is a short side chain PFSI polymer, formerly
known as HyfloneIon, which has attracted some interest in
recent times due to its similarity to Nafion, in terms of both
structure and physical properties [16e19]. Aquivion has the
samemain chain structure as Nafion, but it is characterized by
shorter sulfonated pendant chains, which confer to the ma-
terial a higher cristallinity. This leads to improved properties
in terms of thermal and mechanical resistance, and, as a
consequence, to higher performances in FC operations
[19e21]. Aquivion has been studied in recent years with the
main focus on thermal and mechanical properties [19,20], on
gas permeation [12,22], as well as on water and methanol
sorption and transport [22e26]. In particular, the effect of
humidity on the permeability of different gases, namely He
(used to mimic H2), N2 and O2, has been recently investigated
at 35 �C, comparing the results with those obtained for Nafion
117 [12]. However, a complete characterization of the effect of
temperature on gas transport properties in Aquivion under
humid conditions is still missing.
In the present work, the systematic analysis of the effect of
temperature on gas permeation in Aquivion and Nafion in dry
and humid conditions has been performed for different pene-
trants. Experimental tests were carried out at different tem-
peratures in the range from 25 to 65 �C, and the data from a
previousworkof permeability ofHe,N2 andO2 at 35 �C [12]were
also included in the analysis of the results. Carbon dioxidewas
considered as further probe molecule, as this gas can also be
present in the fuel cell environment.Moreover, the studyofCO2
permeation is of great importance in view of the need for the
reduction of its emission in the atmosphere, to avoid issues
related to global warming [27,28]. Indeed, PSFIs showed prom-
isingproperties forCO2separation,andhavebeenconsideredas
interesting base materials [5,29e32] to fabricate facilitated
transportmembranes. In view of their potentialities in the field
ofmembranes for CO2 separation, CO2 permeation in Aquivion
and Nafion has also been investigated.
Therefore, permeation data of O2, N2, CO2 and He, in both
Aquivion and Nafion, at temperatures ranging from 25 to 65 �Cand at R.H. up to 80%, are presented and analyzed.
Fig. 1 e Molecular structure of a) Aquivion� and b) Nafion�
117.
2. Materials and methods
The chemical formula of the two materials considered in the
present work, namely Aquivion, produced by Solvay Solexis,
and Nafion 117, produced by Dupont, are shown in Fig. 1. The
two PSFIs posses very similar chemical structures, consisting
in a hydrophobic poly(tetrafluoroethylene) backbone with
pendant perfluorovinyl ether side chains terminated by sul-
fonic acid (�SO3H) groups. The main difference is related to
the length of the side chain, which is longer in Nafion than in
Aquivion, so that the latter is often referred to as a short side
chain PFSI material.
Due to the different molecular structure, Aquivion is
endowed with a lower equivalent weight than Nafion, and it
presentshighercrystallinityatagivenvalueofequivalentweight
[20]. The samples of Aquivion considered in this work were
characterizedbyanequivalentweight of about 860 gpol=molSO3H,
definitely lower than the value of 1100 gpol=molSO3H typical of
Nafion 117. Consequently, the two materials here analyzed are
expected to have comparable crystallinity fractions.
The Aquivion films were obtained by extrusion, and were
kindly provided by the producer, with a thickness of about
160 mm, whereas extruded Nafion 117 films were purchased
from Aldrich and were about 180 mm thick.
The gases used for permeation experiments were chro-
matographic grade, with purity higher than 99.95%, and were
purchased from SIAD S.p.A (Italy).
Two different permeation devices were used in the present
work: a classical close volumemanometric apparatus [33] was
employed to carry out pure gas permeation experiments at
different temperatures, whereas a purposely developed sys-
tem based on the same technique was used for the evaluation
of the humid gas permeability at different temperatures
[12,34].
Experiments were performed by considering a pressure
difference of approximately 2 bar across the membrane, and
the permeability was evaluated once steady state conditions
were attained in the system, through the use of the following
well known equation:
P ¼�dp1
dt
�t/N
$VRT
$lA$
1�p2 � p1
� (1)
where p1 represents the pressure in the calibrated down-
stream volume (V), p2 is the upstream pressure, A and l are
Fig. 2 e He, O2, N2 and CO2 permeability in Nafion and
Aquivion in dry conditions at 25, 35, 50 and 65 �C. Data
points with crossed symbols were retrieved from Catalano
et al. [12].
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 2 11975
sample area and thickness, respectively, while R is the gas
constant and T is absolute temperature. The leakage in the
system was completely negligible over the entire duration of
the experiments, and thus it is not considered in Eq. (1).
All measurements were replicated at least twice at each
temperature and R.H., for every gas; deviations were usually
below 10%, and were mainly related to the uncertainty in the
R.H. value, which has a significant influence on transport
properties in these highly hydrophilic materials.
The measurements of dry gas permeability were carried
out pre-treating the samples, in order to evacuate residual
moisture from the membrane, following the protocol already
used in a previous work [12]. The specimens were set in the
permeation cell, and then dried for 24 h under vacuum at
different temperatures. Aquivion samples were pre-treated at
about 100 �C, whereas a value of 65 �C was used for Nafion,
because higher temperatures caused a significant crack for-
mation on the membrane, probably due to an excessive
shrinkage of the film inside the permeation cell.
The permeability of the humidified gas has been evaluated
carrying out humid gas permeation experiments in a
purposely-built apparatus, in which the membrane was
maintained at a certain water activity. The polymer mem-
brane was first conditioned with pure water vapor at the
desired R.H., and once equilibrium conditions were reached
and the sample was equilibrated at the desired temperature
and R.H., one side of the membrane was exposed to a stream
of humid gas at the same R.H. of the equilibration step. After a
short transient, only the gas molecules permeated through
the membrane, being water chemical potential equal on both
sides of the specimen. The incoming gas molecules, perme-
ated through the membrane, affected pressure and water
fraction in opposite way thus not altering the partial pressure
of water in the downstream compartment and maintaining
the R.H. value constant in the system throughout the test.
Permeability value can then be retrieved from the pressure
increase in the downstream volume, by means of Eq. (1).
Further details on the apparatus and on the experimental
protocol can be found in previous works [12,34].
3. Results and discussion
3.1. Dry gas permeation
The permeabilities of He, O2, N2 and CO2 in Aquivion and
Nafion, in the absence of water and at different temperatures
from 25 to 65 �C, are presented in the Arrhenius plot of Fig. 2.
The data are fully consistent with those reported in a previous
work [12], also included in the same figure, for the sake of
completeness. In particular, permeability values obtained at
25 �C for He, O2 and N2 closely follow the Arrhenius behavior
described by the data at higher temperatures, reported in
Ref. [12]; the coefficient of determination, R2, is always higher
than 0.985, in the whole temperature range considered
(25e65 �C).CO2 permeability data are not available in the open litera-
ture for Aquivion, while for Nafion 117, the values here ob-
tained at the different temperatures (1.00, 1.63, 3.11 and 5.84
Barrer at 25, 35, 50 and 65 �C, respectively) are in good
agreement with those from previous works [3,9]. Indeed, the
experimental permeability data reported by Chiou et al. for
Nafion 117 at 35 �C (2.43 Barrer) [3], and by Ma et al. at 25 �C in
dry Nafion 111 (2.31 Barrer) [9], are only slightly higher than
those here reported, and such difference is likely related to the
different sample pretreatment. Indeed, the membranes were
dried at lower temperatures, 35 and 40 �C in Refs. [3,9],
respectively, with a procedure not able to guarantee the
complete removal of water from the membrane [35], thus
altering the final permeability values. For the sake of com-
parison, permeation experiments were also carried out drying
the samples at 35 �C, and, as a result, permeability valueswere
about 30% (2.23 Barrer) higher than those showed in Fig. 2 and,
in line with those reported in Refs. [3,9].
The two PSFIs analyzed in this work show rather low gas
permeabilities in dry conditions. Indeed, if no water is present
in the membrane, the material behavior is that of a glassy
polymer with perflourinated chains, and gas transport prop-
erties are further lowered by the rather high content of
crystallinity.
The permeability of different gases follows a well defined
trend when compared with the molecular size of the pene-
trant, such as its kinetic diameter. The values of kinetic
diameter are reported in Table 1 showing that helium is the
smallest probe followed by CO2, O2 and N2, respectively. The
same trend is observed for permeability, being He the most
permeable penetrant, at all the temperatures inspected, fol-
lowed in a decreasing sequence by carbon dioxide, oxygen and
nitrogen, which has the lowest permeability. Such depen-
dence closely follows the exponential behavior illustrated in
Fig. 3, and it suggests that the permeation process in the dry
polymers is controlled by diffusion, as it is usually observed in
glassy polymers [36].
Among the two materials, Nafion shows the highest
permeability, especially at higher temperatures, although, at
Table 1 e Activation energy of the permeation process for different gases in Nafion 117 and Aquivion. Kinetic diameters ofthe different probe molecules are also reported as taken by Ref. [37].
Permeating gas O2 N2 He CO2
Kinetic diameters (A) 3.46 3.64 2.60 3.30
Membrane EW (gmol=molSO3H) Activation energy EP (kJ/mol) T range (�C) Ref
N117 1100 34.6 49.6 22 # 35e65 [12]
Aquivion 860 34.5 41.7 20 # 35e65 [12]
N117 1100 34.6 49.7 22.1 36.7 25e65 This work
Aquivion 860 36.4 40.1 18.0 35.4 25e65 This work
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 211976
room temperature, Aquivion is slightly more permeable to N2
and He than Nafion. However, these differences are relatively
small, and deviations can also be due to the different pre-
treatments of the two polymers. Consequently, it can be
concluded that the two PFSIs are nearly identical, as far as the
permeability of dry gas is concerned.
The temperature dependence of dry gas permeability of
both polymers closely follows an Arrhenius behavior, and the
corresponding activation energies, EP, are reported in Table 1.
In the case of helium, oxygen and nitrogen, the values ob-
tained are very close to those already reported in a previous
paper [12], which also included an extensive comparison with
available literature data. For the case of carbon dioxide, the
activation energy was not reported previously, since the effect
of temperature on CO2 permeability was not yet investigated.
The activation energies obtained for CO2 permeability in both
PFSIs are in the same range of values obtained for the other
gases, and are very close to those observed for oxygen, whose
kinetic diameter is similar to that of CO2. Furthermore, as
visible in Table 1, the activation energies also depend on the
penetrant kinetic diameter, and higher values are associated
to larger gas molecules [36], as it is expected when diffusion
process controls the transport mechanism.
The comparison between the two PFSIs indicates that
Nafion has activation energies approximately 20% larger than
those of Aquivion for He and N2, whereas in case of O2 and
Fig. 3 e He, O2, N2 and CO2 permeability in Nafion and
Aquivion in dry conditions at 25, 35, 50 and 65 �C as a
function of the gas kinetic diameter [37].
CO2, differences are smaller (less than 5%), and almost the
same values were obtained for both materials.
3.2. Humid gas permeation
The permeabilities of different gases in Nafion and Aquivion
at water activities in the range 0e80% R.H. and at various
temperatures (25, 35 and 50 �C) are illustrated in Fig. 4aed. The
experimental results obtained in this work are reported in
Fig. 4 together with data retrieved at the intermediate tem-
perature (35 �C) already presented in Ref. [12]. As expected, the
two materials show qualitatively the same trend with respect
to temperature and R.H., and very similar permeability values.
The permeability in Nafion and Aquivion, indeed, increases
significantly for all gases inspected, as temperature and R.H.
increase.
In particular, water activity has a remarkable influence on
the gas transport properties, and permeability values increase
up to two orders of magnitude with respect to those obtained
in dry conditions. The effect of R.H. on the membrane trans-
port properties is clearly non linear: permeability values have
a sharp increase, approximately one order of magnitude,
when water activity is raised from 0 to 5%, and then show an
exponential trend in the range between 10% and 80%. Inter-
estingly, the permeability at the higher water activities seems
to lead toward values comparable with those evaluated in
pure water films, as the product of gas diffusivity and solu-
bility in liquid water [38,39]; the latter values are also included
in Fig. 4 as a reference.
The sharp increase in permeability at the very low water
activity (up to 5%), corresponding to water content in the
polymer of approximately 3% on a mass basis, is likely
related to significant changes in the PFSI matrix, as also
observed by other authors from different points of view
[40e44]. Indeed, quite interesting analogies are observed with
the experimental behavior of proton conductivity with R.H.,
as reported by Yang et al. [43], who showed a sharp increase
in the conductivity value in the range 0e5% R.H. and an
exponential rise between approximately 20% and 80%, in a
fashion very similar to the permeability trends illustrated in
Fig. 4. On the other hand, Majsztrik et al. [40] and Zhao and
Benziger [41] showed that the mechanical and viscoelastic
behaviors of Nafion obtained by stress strain measurements
are also strongly influenced by R.H. and temperature.
Furthermore, Rivin et al. [42] carried out sorption and
permeation experiment of water in Nafion, revealing the
large effect of the water content in the membrane on the
transport parameters (i.e. penetrant diffusivity and
Fig. 4 e Permeability of He (a), N2 (b), O2 (c) and CO2 (d) in humid Nafion and Aquivion membranes at 25, 35 and 50 �C. Data
points with crossed symbols (at 35 �C for He, N2 and O2) were retrieved from Catalano et al. [12].
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 2 11977
permeability), with a significant increase in diffusivity in the
activity range between 0 and 5%.
Several authors [4e15] have already analyzed and re-
ported the permeability behavior of different gases in hu-
midified Nafion membranes. In particular, the data obtained
in this study for oxygen and carbon dioxide permeability in
Nafion 117 can be compared with the permeation results
reported in the open literature [4e15] for the same material,
or in similar PFSI membranes, such as Nafion 111 or NRE 212,
having the same equivalent weight of the materials here
inspected.
In the case of oxygen, a number of experimental works can
be considered for comparison, although the data reported
show a very large variability, as often observed for transport
properties in PSFIs. Sakai et al. [7,8], for instance, measured
oxygen permeability in Nafion 117 at different temperatures
and humidities, reporting at 50%R.H. values of about 25 and 45
Barrer at 30 and 50 �C, respectively. On the other hand, Gode
et al. [13] reported O2 permeabilities in Nafion 117 at 25 and
60 �C that arewell below that range, not exceeding the value of
20 Barrer obtained at 60 �C for a water activity of 75%. In the
present work, the oxygen permeability in Nafion membranes
at 50% R.H. increases from 8 to 19 Barrer, when the tempera-
ture is raised from 25 to 50 �C. Therefore, the experimental
results obtained in this work are definitely lower than those
reported by Sakai et al. [8], but are in good agreement with the
work by Gode et al. [13], as well as with those byMa et al. [9] for
Nafion 111, andMohamed et al. [10] for NRE212 at 25 and 30 �C,respectively; the latter are not explicitly considered here for
the sake of brevity.
Carbon dioxide permeability in Nafion 111 at 25 �C is also
reported in Ref. [9] showing an increase from 66 to 260
Barrer, when R.H. is increased from 52% to 100%. Once again,
these results are somewhat lower, but still in reasonable
agreement with the experimental data obtained in this work,
in which permeability values increase from 90 up to 160
Barrer, as the humidity increases from 50 to 75% at 25 �C.Concerning Aquivion, no other studies on humid gas
permeability have been reported, and a direct comparison
with previous data is not possible. However, it is reasonable to
expect approximately the same behavior observed for Nafion,
due to the very similar structure of the twomaterials, and also
in view of the results obtained in dry conditions.
The differences between permeability values in Nafion and
Aquivion are more pronounced in the presence of water than
in dry conditions. Indeed, relative deviations among the
permeability valuesmeasured in the two PSFIs are often above
20%, with also peaks up to 70%. In particular, at the lower
temperatures (25 and 35 �C) and at low activity, Aquivion
presents higher permeability than Nafion for all the gases but
helium, for which the two materials show very similar values
and behaviors. At high temperature (50 �C) and high R.H., on
the other hand, Nafion shows higher permeabilities with
respect to Aquivion, for all the gases inspected.
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 211978
Thesedifferences between the two PFSIs in the behaviors of
permeability with water activity are likely related to the
different water contents in the twomembranes. Experimental
measurements clearly indicate that, on a weight basis, water
solubility in Aquivion is higher than in Nafion, due to its lower
equivalent weight [12,35]. Hence, at a given activity, the larger
water content inAquivion, enhances the gas permeability and,
consequently, higher P values are detected. Gas transport in
humid PSFI is known to occur preferentially in the hydrophilic
domains that are present in the material [44e48], and the
higher is thewater uptake, the higher is the volume fraction of
the hydrophilic phase, and consequently the gas permeability.
The difference in equivalentweight, and the corresponding
water solubility, plays a significant role at lowactivity, because
the hydrophilic domains are still rather small and not inter-
connected. At medium and high R.H., the water absorbed in
the polymer produces larger and more interconnected water-
like regions, and differences between the two materials are
less important, since continuous hydrated pathways in the
membrane guarantee high permeation rate in both cases. In
these conditions, therefore, other factors are responsible of the
larger gas permeabilities observed in Nafion with respect to
Aquivion, such as differences in crystallinity, which is gener-
ally lower in Nafion, or in the mobility of perflurosulfonated
side chains, which are longer and consequently more flexible
in Nafion than in Aquivion.
Fig. 5 e N2 permeability in Aquivion and Nafion
membranes hydrated at 5, 15, 30 and 70% R.H.: effect of
temperature.
3.3. Activation energy
The above qualitative analysis offers a rationale for the
description of experimental behaviors at low temperatures. At
higher temperatures, however, gas permeability in Nafion is
higher than in Aquivion at all R.H. inspected, indicating the
need to complete the analysis of the temperature effect on
permeation; such temperature effect seems more significant
for Nafion than for Aquivion.
A quantitative determination of the temperature effect is
often provided by the activation energy of permeation, EP. In
dry permeability, a significant difference between the two
polymer was found for helium and nitrogen, for which EP was
20% larger in Nafion than in Aquivion, whereas oxygen and
carbondioxidepresentedapproximately thesametemperature
behavior in the twomaterials (EP differencesbetween3and5%).
A similar analysis can be carried out in humid conditions,
through an effective activation energy of humid gas perme-
ability of species i, EeffP;i , defined as:
EeffP;i
R¼ �
�dlnPi
dð1=TÞ�
RH
(2)
The activation energy thus defined is rigorously an effective
quantity, since it is calculated at constant R.H. in the external
phase rather than at constant composition in the polymer,
although minor differences are expected between the two
cases. Indeed, EeffP;i provides a rather accurate estimation of the
real activation energies in view of the following
considerations:
i) the gas concentration in the membrane is actually
negligibly small due to the low pressures considered
during experiments, never exceeding 2.5 bar on the up-
stream side of the membrane, and almost zero in the
downstream compartment;
ii) in the activity range inspected, water solubility in PSFI
shows a slight dependence on temperature; conse-
quently, at each temperature value, the same water
content is found in the membrane at any given activity.
It has been clearly shown that water solubility in Aqui-
vion is basically constant with temperature, whenever
the samples have been fully dried by a proper thermal
pretreatment [35]. Similarly, the analysis of several
different experimental data in Nafion [42,49e55] showed
that a clear trend with temperature can hardly be found,
and most likely the temperature dependence of water
solubility at a given R.H. is very weak. In fact, within the
fewworks specifically devoted to the investigation of the
temperature effect on water solubility in Nafion, con-
tradictory results were obtained. The comparison
among solubility isotherms from different experimental
works is not feasible for Nafion, because a significant
scatter of data is observed, likely associated to the
different thermal pretreatments of the membranes and
to the different experimental conditions. The pretreat-
ment of the polymer membranes seems to be the pri-
mary source of the observed differences, as it generally
covers any possible temperature dependence of water
solubility in Nafion.
The present experimental results are consistent with that
interpretation. In fact, by reporting gas permeability at constant
R.H. versus reciprocal absolute temperature for both PFSIs, a
clear Arrhenius type behavior is observed, confirming the val-
idity of the proposed assumption. In Fig. 5, Arrhenius plot for N2
permeability inAquivion andNafion at different R.H. is reported
as an example; similar behaviors are obtained also for the other
gases here investigated, not explicitly reported for the sake of
brevity (R2 values always higher than 0.95).
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 2 11979
The effective activation energies EeffP are calculated as
illustrated above, for both materials and for all gases inspec-
ted as a function of R.H.; their values are reported in Fig. 6a for
He and CO2, and in Fig. 6b for N2 and O2. The results show that,
in all conditions, higher values are obtained for Nafion than
for Aquivion, and the larger differences are observed for lower
water contents. Indeed, at low values of R.H., Aquivion data
show a sharp decrease of the effective activation energy with
respect to the corresponding value in dry conditions, whereas,
the trend in Nafion membranes presents much smoother
behaviors.
For both PFSIs, the activation energy ranges between the
value obtained in the dry state and the value obtained for the
gas permeability in pure water, which is also included in
Fig. 6a and b for the sake of completeness. The pure water
values, calculated from solubility and diffusivity data avail-
able [38,39], are lower than the dry polymer activation energy
for all gases but helium. Therefore, with the only exception of
helium, the increase of R.H. lowers the gas activation energy,
EeffP , toward the values typical of the permeation in pure liquid
water, with rather sharp variations in Aquivion and smoother
changes in Nafion. At low R.H., indeed, sharp changes in EeffP in
Nafion are observed only in the case of carbon dioxide, while
for other gases a smoother decrease is found.
TheEeffP values in the twopolymers are approximately equal
for all gases at about 50% R.H.. Fig. 6a and b, indeed, clearly
illustrate that the differences between the two polymers tend
to disappear at high activity, and the EP values approach the
value of activation energy in purewater. This seems to confirm
that permeation inhumid PFSI ismainly drivenby gas sorption
and diffusion in the hydrophilic regions of the materials, and
ultimately in the water channels formed at high R.H. in the
hydratedmatrix. These water-like domains are very similar in
the two materials, and, consequently, gas probes can diffuse
basically in the same environment. At high water activity, the
slight differences observed in permeability are likely related to
the hydrated polymer microstructure, as for instance the
channel tortuosity, which could be different in the two mate-
rials. However, the structure of the water-like domains in the
hydrated polymers are not expected to change significantly in
the range 25e50 �C, consequently not altering the values ofEeffP .
Fig. 6 e Effective activation energy of permeation of different gas
humidity: a) helium and carbon dioxide; b) nitrogen and oxyge
3.4. Selectivity
The presence of water in the membranes and in the gaseous
stream affects the transport properties of each penetrant in a
different way. Gas permeability increases for all gases with
increasing R.H., but the behaviors of the different penetrants
are quantitatively different. Among the penetrants consid-
ered, carbon dioxide presents the largest increases in
permeability followed by nitrogen, oxygen and helium, whose
values are only slightly affected by the presence of water. In
particular, while the permeability of CO2 increases of about 2
orders of magnitude in the range 0e80% R.H., the permeability
of He increases only five times.
In dry PFSIs, the permeability is directly related to the ki-
netic diameter of the gaseous species, with the smaller
molecule, He, which is the fastest diffusing in the polymeric
matrix. On the contrary, in humid conditions, gas solubility
may become the controlling factor, and themost condensable
penetrant and most water soluble, CO2, becomes the fastest
permeating species, already at 30% R.H.. Indeed, the perme-
ability behaviors of the other penetrants, which have a much
lower condensability, are less affected by the formation of the
hydrophilic phase in the PSFIs.
This different behavior is clearly illustrated by evaluating
the CO2/gas selectivity of the two membranes at different
water activities. The gas selectivity toward gas i with respect
to gas j, ai,j, is a key parameter for gas separation applications,
and it is defined as follows:
ai;j ¼ Pi
Pj(3)
According to its definition, the gas selectivity should be
calculated from the permeabilities of single penetrants of the
mixed gas streams, although in most of the cases it is esti-
mated from pure gas permeation measurements only, for
simplicity sake. In this work, the selectivity is evaluated from
the measurement of single gases (with or without water
vapor), neglecting thus the effect of the gas/gas interactions.
The narrow pressure range inspected (up to 2.5 bar) corre-
sponds to limited gas solubilities in the polymers, and the
effect of the presence of large portions of water-like domains
es in Nafion and Aquivion membranes at different relative
n.
Fig. 7 e Ideal gas selectivity as function of water humidity for the gas pair CO2/He, CO2/O2, CO2/N2 at different temperatures:
a) 25 �C; b) 35 �C; c) 50 �C.
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 211980
on the permeability of the different penetrants is likely
predominant.
The selectivity aCO2,j of CO2 over the other gases is then
reported in Fig. 7aec, at the three temperatures inspected, as
function of water activity. Although some of the data calcu-
lated for aCO2,j appear quite scattered, it is possible to observe
rather clear trends of gas selectivity versus R.H.. Indeed, in all
cases, CO2 selectivity increases rather continuously with
water content, and inmost of the cases, it reaches amaximum
at the highest activity inspected, leading to values that, once
again, are close to those obtained for pure water. Only
exception seems to be the CO2/N2 and CO2/O2 selectivity in
Nafion at low temperature, in which a decrease in aCO2,j is
observed when the R.H. is increased above 50% (above 30% in
the case of nitrogen at 25 �C). As a consequence, at the higher
activities, Aquivion presents larger selectivity values with
respect to Nafion.
When water is absorbed in the polymer, therefore, the two
PSFIs seem to act as supported liquid membranes, and due to
its high solubility in water, CO2 permeation in the hydrophilic
channels is extremely fast with respect to other gases.
It is noteworthy that perfluorosuphonated materials
have been extensively investigated also in the field of
membranes for gas separation, in view of their ability to be
selectively permeable to carbon dioxide [5,31,32]. In the case
of the two materials here studied, Aquivion showed a lower
CO2 permeability at high R.H., but the best separation
performance.
4. Conclusions
The permeability of He, O2, N2 and CO2 in two PSFIs, Aquivion
and Nafion 117, has been investigated as a function of tem-
perature and R.H.. In particular, temperatures ranging from 25
to 65 �C and R.H. up to 80% were explored. The two materials
showed quite similar behaviors for permeability trends and
values.
Humidity has a significant effect on gas permeability, with
increments up to two orders of magnitude with respect to
values observed in the dry gas conditions, and a substantial
change of the gas transport behavior through themembranes.
Indeed, indry conditions, thePSFIsbehaveasunswollenglassy
polymers, the permeation mechanism is mainly controlled by
diffusion, and permeability values scale with the kinetic
diameter of the diffusingmolecules, with Hemore permeable,
followed in sequence by CO2, O2 and N2. Conversely, the pres-
ence of water vapor, able to swell the hydrophilic matrix, pro-
duces water-like domains characterized by rather high gas
permeability. Therefore, gas permeability largely increases up
to values close to those encountered for the permeation in
liquid water, and shows a behavior completely different from
that of the dry materials. At R.H. larger than approximately
30%, the highest permeabilities are observed for CO2, followed
by He, O2, and N2. Hence, the permeation process is closely
related to the solubility of the different gases in water, rather
than to their molecular sizes.
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 1 9 7 3e1 1 9 8 2 11981
The comparison between the two materials, shows higher
gas permeabilities in Aquivion than in Nafion 117 at low
water activity and at low temperatures, while at high activity
and especially at the higher temperatures, the opposite
behavior is observed, and gas permeabilities are larger in
Nafion than in Aquivion. The differences between the two
materials, however, rarely exceed 20%, consistently with the
very similar chemical structures of the two PSFIs.
The permeability dependence on temperature is well
described by an Arrhenius relationship, which holds in both
materials in dry as well as in humid conditions. Activation
energies are often higher for Nafion than for Aquivion, with
differences that decrease and seem to vanish when the water
content increases. The activation energy is itself a function of
R.H. and changes with increasing water content, toward the
values typically encountered in pure water.
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