Download - The gas transport properties of amine-containing polyurethane and poly(urethane-urea) membranes
The gas transport properties of amine-containing polyurethaneand poly(urethane-urea) membranes
Liang-Siong Teo, Chuh-Yung Chen*, Jen-Feng Kuo
Department of Chemical Engineering, National Cheng Kung University, Tainan, Taiwan 701, ROC
Received 2 September 1997; received in revised form 6 November 1997; accepted 7 November 1997
Abstract
A series of amine-containing polyurethanes and poly(urethane-urea)s based on 4,40-diphenylmethane diisocyanate and
either poly(ethylene glycol) of molecular weights 400 or 600 were prepared as gas separation membranes. The amine
functional groups of N-methyldiethanolamine (MDEA) and/or tetraethylenepentamine (TEPA) were introduced into the hard
segment as a chain extender. The gas transport data of He, H2, O2, N2, CH4 and CO2 in these polymer membranes were
determined by using the Barrer's high-vacuum technique and the time-lag method. The restriction of chain mobility has been
shown by the formation of hydrogen bonding in the soft segment and hard-segment domains, resulting in the increase in the
density, glass transition temperature of soft segments (Tgs). The separation mechanism of various gas pairs used in industrial
processes is also discussed. Effect of pressure on permeability of the gases above and below Tgs was studied. It was found that
the gas permeability increased or decreased with upstream pressure above Tgs, and should be described by a modi®ed free-
volume model. On the other hand, the condensable CO2 exhibits a minimum permeability at a certain upstream pressure below
Tgs. The permeability of He and H2 were pressure independent above and below the Tgs. # 1998 Elsevier Science B.V.
Keywords: Gas separations; Gas and vapor permeation; Membrane preparation and structure; Polyurethane membrane;
Permselectivity
1. Introduction
Membrane-based separation has been utilized in
many chemical industries. It provides an energy-ef®-
cient, compact, modular, and green-house process.
Applications of polymeric membranes as gas separa-
tion membranes are used in a wide variety of areas [1],
such as carbon dioxide recovery in petroleum applica-
tions, removal of helium gas from natural gas, recov-
ery of hydrogen from ammonia plant purge streams,
oxygen/nitrogen separation, etc.
Polyurethane is a segmented copolymer composed
of alternating soft and hard segments. The study of
transport properties of penetrant gases through poly-
urethane membranes is particularly interesting [2±13].
It is possible to introduce controlled changes in polyol
length and chemical nature and the proportions of
the constituents which make up the soft and hard
segments of polyurethanes. These changes result
in different physicochemical properties. Various
researchers [4,7,10,11] have shown the gas perme-
ability of polyurethane membranes increases with the
decrease of hard segment content and increase of soft
segment molecular weight. In addition, correlation has
Journal of Membrane Science 141 (1998) 91±99
*Corresponding address. Fax: +886 6 2344496
0376-7388/98/$19.00 # 1998 Elsevier Science B.V. All rights reserved.
P I I S 0 3 7 6 - 7 3 8 8 ( 9 7 ) 0 0 2 9 3 - 7
been established between the gas permeability and the
chemical nature of polyols and chain extenders. It
affects the transport properties of polyurethane mem-
branes with the result of changing the phase-separated
domain morphology, polyfunctional cross-linking,
crystallinity, density and glass transition of the mem-
branes.
The transport of gases through polymer membranes
depends strongly on whether the polymer is in its
rubbery or glassy state. Usually, the gas sorption
process in glassy polymers (T<Tg) is more complex
than in rubbery polymers (T>Tg) because of their
nonequilibrium state [14±16]. In our previous paper
[17] we chose the CO2 af®nity reagents N-methyl-
diethanolamine (MDEA) and tetraethylenepentamine
(TEPA) as chain extenders to prepare amine-contain-
ing polyurethanes (PU) and poly(urethane-urea)s
(PUU) and studied the permeation and sorption iso-
therm of CO2. This study showed that the sorption
isotherms obey Henry's law above Tgs, while below
Tgs the sorption isotherms follow a dual-mode sorption
model. The aim of the present paper is to study the
transport properties of various gases in these amine-
containing PU and PUU membranes. Relationships
between transport properties and chemical structure
are discussed.
2. Experimental
2.1. Polymers
The PU and PUU membranes chosen for the present
study were prepared by a two-step process in N,N-
dimethylformamide (DMF). Poly(ethylene glycol)
(PEG) of molecular weight 400 or 600 was used as
the soft segment component. The hard segment was
formed from 4,40-diphenylmethane diisocyanate
(MDI) and chain extended with N-methyldiethanol-
amine (MDEA) and/or tetraethylenepentamine
(TEPA). Details of the polymerization procedure have
been described previously [17]. The chemical struc-
tures are shown in Scheme 1.
2.2. Film casting
The polymers were used in the form of non-porous
planar membranes which were prepared from DMF
solution containing 15 wt% polymer. These solutions
were centrifuged at 2000 rpm to remove any gel
particles or undissolved impurities. Then a certain
amount of the solution was placed in a glass cylinder
with a clean polyethylene (PE) ®lm attached to the
bottom. To prevent dust pollution, the top of the glass
cylinder was covered with a ®lter paper. The system
was placed in a nitrogen-purged oven at 808C and
dried for about 24 h. Finally, the polymer membranes
were removed from the PE substrate and put in a
vacuum at 508C for about 3 days to remove the
remaining solvent. The thickness of the dry mem-
branes varied from 120 to 180 mm.
2.3. Characterization of polymer membranes
The composition of each polymer membrane stu-
died was determined by a Heraeus CHN-O-RAPID
Elemental Analyzer (EA). Density of each polymer
membrane was measured by the immersion method
[18], which included weighing of samples in air and in
distilled water. Thermal transition temperatures of
each polymer membrane were obtained by a DuPont
DSC 2910 differential scanning calorimeter linked to
a Thermal Analysis 2000 system for data acquisition.
The samples were scanned fromÿ70 to 2508C at a rate
of 108C/min under nitrogen purging.
2.4. Permeation test
The permeation of pure gases through the polymer
membranes was measured using Barrer's high-
vacuum method [19]. The purity of gases (He, H2,
N2, O2, CH4, and CO2) used was 99.5% or higher. The
cumulative amount of gas passing through the poly-
mer membrane in a constant volume receiving cham-
ber (V) was measured by the pressure increase on the
downstream side (pd) with a pressure transducer (MKS
Baratron 222B with a full-scale range of 10 Torr
connected to an MKS Type PDR-C-1C readout).
The upstream pressure (pu) was monitored with a
pressure transducer (Honeywell). At steady gas ¯ow,
the permeability coef®cient (P) was determined from
the slope (dp/dt) of the linear portion of pd vs. time plot
using the following equation:
P � 273� V � L� dpdt
760� T � A� �pu ÿ pd� (1)
92 L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99
where L is the thickness of the membrane, T is the
absolute temperature, and A is the area of the mem-
brane. The downstream pressure, pd, can be regarded
as negligible since pd�pu.
The diffusion coef®cient (D) was determined by the
time-lag method [20], and is represented as
D � L2
6�(2)
where � is the time lag, i.e. the intercept obtained by
extrapolating the linear region of pd vs. time plot to the
time axis.
The solubility coef®cient (S) was then calculated
from the equation of
P � D� S (3)
3. Results and discussion
Table 1 summarizes the characteristic properties of
the amine-containing PU and PUU membranes. It
shows that the hard segment content of the polymer
membranes is in the range of 51±64%. The density of
the polymer membranes is in the range of 1.0±1.2 g/
Scheme 1.
L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99 93
cm3, increasing with the decrease of molecular weight
of the PEG soft segment but with increase of the TEPA
content. This indicates that the packing density of the
PEG-400 polymer membranes is larger than that of
PEG-600 ones, while TPUU membranes comprise the
larger packing density. In addition, PEG-400 polymer
membranes show a glass transition temperature of
PEG soft segment (Tgs) at 15±278C, while the
PEG600 ones exhibit a lower Tgs of ÿ188C to
ÿ68C. Our previous paper [21] showed that a sig-
ni®cant amount of hydrogen bonding between the soft
and hard segments in the soft segment domains.
Therefore, it seems that for PEG-400 more hard seg-
ments are dissolved in soft segment domains causing
more stiffness and a higher Tgs. Thus, PEG-400 poly-
mer membranes exhibit less free volume than those of
PEG-600. On the other hand, the microcrystalline
ordering of hard segment domains above 2008C was
not found [22,23]. This indicates that the polymer
membranes are amorphous polymers. Our previous
paper [21] also showed that the MPU membranes
exhibited only loosely packed urethane hydrogen
bonding in the hard segment domains. However, the
TPUU membranes present more hydrogen bonded
urea carbonyl with a mixed state of three-dimensional
hydrogen bonding as well as conventional interurea
bonds and that of interurethane bonds. It seems that
the hydrogen packing density increases with increas-
ing TEPA content. It is consistent with the increase in
the density of the polymer membranes (Table 1).
3.1. Pressure dependency of permeability above Tgs
Figs. 1 and 2 show the results of permeability (P)
measurements in the form of semilogarithm of P vs.
upstream pressure (pu) at 358C for PEG-400 and -600
polymer membranes, respectively. The measured tem-
perature is higher than that of the Tgs of the polymer
membranes studied. In the ®gures, all of the lines were
obtained from least-square ®ts of the experimental
data. It shows that the semilog plot of P vs. pu is linear.
The permeability of He and H2 are pressure indepen-
Table 1
Characteristics of the amine-containing polyurethane and poly-
(urea-urethane) membranes
Polymer Hard segment
content (wt%)
Density
(g/cm3)
Tgs
(8C)
MPU4 61.4 (60.8) a 1.16 27
MTPUU4 62.7 (62.8) 1.18 21
TPUU4 63.9 (63.3) 1.21 15
MPU6 51.5 (50.8) 1.04 ÿ6
MTPUU6 52.8 (52.2) 1.09 ÿ13
TPUU6 54.1 (53.5) 1.12 ÿ18
a Calculated values.
Fig. 1. Effect of upstream pressure on permeability for various gases in the PEG-400 polymer membranes above Tgs: (a) MPU4; (b)
MTPUU4; (c) TPUU4.
94 L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99
dent while those of O2, N2 and CH4 decrease with
increasing pressure. However, the permeability of CO2
increases with increasing pressure. According to Stern
[24] and Sada [25,26] and co-workers, such a linear
relationship above Tgs indicates that the permeation of
the polymer membranes for all the gases might be
described by the modi®ed free-volume model. In the
case of pu�pd, the pressure dependency of perme-
ability is given by the relation [24]:
ln P � ln P�0� � 12mpu (4)
where P(0) is the value of P at zero penetrant pressure
and m is a measure of pressure dependence of P.
Hence, a linear decrease encountered in the cases
of O2, N2 and CH4 system implies that the increase
in the hydrostatic pressure on the high pressure
side (pu) causes a decrease in the free volume. While
a linear increase for the CO2 system indicates that
the increase in concentration of the dissolved
penetrant of condensable CO2 overwhelms the
hydrostatic pressure effect and causes an increase
in the free volume.
Fig. 2. Effect of upstream pressure on permeability for various gases in the PEG-600 polymer membranes above Tgs: (a) MPU6; (b)
MTPUU6; (c) TPUU6.
Fig. 3. Effect of upstream pressure on permeability for various gases in the PEG-600 polymer membranes below Tgs: (a) MPU6; (b)
MTPUU6; (c) TPUU6.
L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99 95
3.2. Pressure dependency of permeability below Tgs
Fig. 3 shows the semilogarithm plot of P vs. pu at
158C for PEG-600 polymer membranes. The mea-
sured temperature is lower than that of the Tgs of the
polymer membranes studied. The permeability of He
and H2 are relatively pressure independent, while the
permeability of O2, N2 and CH4 decrease with increas-
ing pu. These results are consistent with the results of
other literature [27±30]. Therefore, it is in qualitative
agreement with the predictions of the dual-mobility
model in glassy polymers [14,27,28]:
P � kDDD � DHC0Hb
1� bp(5)
where the nomenclature used above is the same as
reported elsewhere [14,27,28]. It is noted that the
pressure dependence on permeation of CO2 exhibits
a minimum permeability at a certain upstream pres-
sure (pc). The permeability decreases for pu<pc. How-
ever, when applied pressure is larger than pc, the
permeability increases with the pressure. A similar
pressure dependence of the permeability of CO2 at
different temperatures below Tgs is shown in Fig. 4.
Thus, a plasticization effect of CO2 occurs for pu>pc,
such that the plasticization of the polymers increases
chain mobility substantially. The diffusivity of CO2
increases with sorbed concentration much more
rapidly than the solubility decreases causing the per-
meability to increase with the pressure.
3.3. Structure±permeation relationship
Table 2 shows the permeability of various gases and
permselectivity ��A=B� of gas pairs in the polymer
membranes studied at 358C and 10 atm. Obviously,
the values of P increase as the molecular weight of
PEG soft segment increases from 400 to 600. In
contrast, P decreases with increasing TEPA content.
This shows that the free volume of the polymer
membranes studied increases with increasing mole-
cular weight of PEG but decreases with TEPA content.
However, the affect on permeability of the increase in
TEPA content is not as signi®cant as the change of
PEG molecular weight. This indicates that the gases
mainly pass through the PEG soft segment domains,
and the loosely packed hard segment domains are
minor passages. The values of permselectivity,
�A=B, for the gas pairs in the polymer membranes
were calculated by the ratio of the pure gas perme-
ability values. These fall in the range of 12±32 for
CO2/CH4, 15±19 for H2/N2, 23±35 for He/N2, 20±28
for He/CH4, and 3.7±4.7 for O2/N2. The selectivity
values for these polymer membranes have attracted
interest in gas separation of industrial process com-
pared with other literature [31].
Fig. 4. CO2 permeability at temperatures below Tgs as function of upstream pressure for the PEG-600 polymer membranes: (a) MPU6; (b)
MTPUU6; (c) TPUU6.
96 L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99
Basically, the permeation of gas through a dense,
non-porous membrane is generally analyzed using the
solution±diffusion model. Therefore, the permselec-
tivity of a membrane can be de®ned by the equation:
�A=B � PA=PB � �DA=DB��SA=SB� (6)
where D is diffusivity coef®cient, S is the solubility
coef®cient, DA/DB is the mobility selectivity, and
SA/SB is the solubility selectivity [32]. The values
of D and DA/DB as well as S and SA/SB for various
gases in the polymer membranes studied are listed in
Tables 3 and 4, respectively. These data show that in a
given polymer the diffusivity coef®cients decrease in
the penetrant gas order: DHe > DH2> DO2
> DN2>
Table 2
Permeability and permselectivity for various gases in the amine-containing polyurethane and poly(urea-urethane) membranes at 358C and
10 atm
Polymer Permeability a Permselectivity b
PHe PH2PO2
PN2PCH4
PCO2�CO2=CH4
�O2=N2�H2=N2
�He=CH4�He=N2
MPU4 1.95 1.29 0.317 0.0847 0.0969 1.12 12 3.7 15 20 23
MTPUU4 1.79 1.11 0.274 0.0629 0.0828 1.07 13 4.0 16 22 26
TPUU4 1.73 1.05 0.255 0.0558 0.0744 1.01 14 4.6 19 23 31
MPU6 11.3 6.08 1.75 0.374 0.419 12.9 31 4.7 16 27 30
MTPUU6 10.5 5.55 1.51 0.334 0.390 12.3 32 4.5 17 27 31
TPUU6 10.3 5.13 1.40 0.298 0.369 11.9 32 4.5 17 28 35
a Barrer (�10ÿ10 cm3(STP) cm2 cmÿ3 of polym. sÿ1 cmHgÿ1).b Ratio of pure gas permeability.
Table 3
Diffusivity coefficients a and diffusivity selectivity for various gases in the amine-containing polyurethane and poly(urea-urethane)
membranes at 358C and 10 atm
Polymer DHe DH2DO2
DN2DCH4
DCO2
DCO2
DCH4
DO2
DN2
DHe
DN2
DHe
DCH4
DH2
DN2
MPU4 698 283 22.5 8.33 3.98 1.61 0.40 2.7 84 175 34
MTPUU4 619 234 16.8 5.76 3.10 1.29 0.42 2.9 107 200 41
TPUU4 558 197 12.9 3.96 2.29 1.04 0.45 3.3 141 244 50
MPU6 3180 1100 73.9 21.4 10.4 4.04 0.39 3.5 149 306 51
MTPUU6 2860 899 58.0 17.0 8.3 3.20 0.39 3.4 168 345 53
TPUU6 2610 733 46.5 13.1 6.30 2.59 0.41 3.5 199 414 56
a �10ÿ8 cm2 sÿ1.
Table 4
Solubility coefficients a and solubility selectivity for various gases in the amine-containing polyurethane and poly(urea-urethane) membranes
at 358C and 10 atm
Polymer SHe SH2SO2
SN2SCH4
SCO2
SCO2
SCH4
SO2
SN2
SHe
SN2
SHe
SCH4
SH2
SN2
MPU4 0.211 0.346 1.07 0.773 1.85 52.9 29 1.4 0.27 0.11 0.45
MTPUU4 0.220 0.360 1.24 0.914 2.03 63.0 31 1.4 0.24 0.11 0.39
TPUU4 0.235 0.405 1.50 1.07 2.47 73.8 30 1.4 0.22 0.10 0.38
MPU6 0.270 0.421 1.80 1.33 3.06 243 79 1.4 0.20 0.09 0.32
MTPUU6 0.279 0.469 1.98 1.49 3.57 292 82 1.3 0.19 0.08 0.31
TPUU6 0.301 0.532 2.29 1.73 4.45 343 77 1.3 0.17 0.07 0.31
a �10ÿ2 cm3(STP) cmÿ3 of polym. atmÿ1.
L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99 97
DCH4> DCO2
. This shows a general trend that the Dvalues in a given polymer decrease with increasing
Lennard-Jones diameter [33]. On the other hand, in a
given polymer the solubility coef®cients increase in
the penetrant gas order: SCO2> SCH4
> SO2> SN2
>SH2
> SHe. This shows that the solubility coef®cient in
the polymers increases with the increase in the con-
densibility of the penetrant gas. This is consistent with
the results reported for many other elastomers [34].
As shown in Table 3, an increase in the value of Dfor a given penetrant gas follows an increase in the
values of P, i.e., the greater the free volume of the
polymer membrane is, the easier the penetrant gas can
diffuse through the polymer membrane. It is note-
worthy that for condensable CO2, the S values of the
PEG6 polymer membranes increase 4.6-fold over the
values of PEG4, while for the non-condensable gases,
the S values increase by 1.2±1.8 fold (Table 4). The Svalues of CO2 also increase more than those of non-
condensable gases with increasing TEPA content. This
might be due to a speci®c interaction between the free
amine groups of TEPA and CO2 molecules as shown in
FTIR spectra previously [17]. Furthermore, informa-
tion on the permselectivity of the polymers studied in
term of SA/SB and DA/DB were discussed. Because
this two ratios represent the contributions of the
differences in the diffusivity and solubility, respec-
tively, of different gases to the permselectivity. There-
fore, it is an index of the assessment of the gas
separation mechanism. In this study, the CO2/CH4
gas pair shows the value of SA/SB is far larger than
the DA/DB, Consequently, indicating that the perm-
selectivity of the gas pair is controlled by solubility
selectivity. On the other hand, for He/N2, He/CH4, and
H2/N2, the ratio DA/DB is much larger than the SA/SB
ratio. Therefore, the separation mechanism of these
gas pairs is controlled by diffusivity selectivity. How-
ever, both solubility and diffusivity selectivity are
important in the separation of O2 and N2.
4. Conclusion
The amine-containing polyurethane and poly(ur-
ethane-urea) membranes studied are amorphous poly-
mers. The free volume of these polymer membranes
are related to hydrogen bonding in the soft segment
and hard segment domains, which is supported by the
density of the polymer membranes. Those with higher
packing density (less free volume) were less perme-
able. The dependence of gases permeability on pene-
trant pressure in the polymer membranes studied is
satisfactorily represented by a modi®ed free-volume
model above Tgs. However, below Tgs, the pressure
dependence of CO2 permeability exhibited a mini-
mum caused by the plasticization effect of conden-
sable CO2.
Acknowledgements
The authors are grateful to the National Science
Council of the Republic of China for its ®nancial
support (NSC87-2216-E-006-003) and Prof. E.M.
Woo and Prof. J.-C Lin of the Department of Chemical
Engineering for their editorial comments on this
manuscript.
References
[1] T. Matsuura, Synthetic Membranes and Membrane Separation
Process, CRC Press, Boca Raton, 1993, p. 283.
[2] K.D. Ziegel, Gas transport in segmented block copolymers, J.
Macromol. Sci. Phys. B 5(1) (1971) 11.
[3] J.S. McBride, T.A. Massaro, S.L. Cooper, Diffusion of gases
through polyurethane block polymers, J. Appl. Polym. Sci. 23
(1979) 201.
[4] P.M. Knight, D.J. Lyman, Gas permeability of various block
copolyether±urethanes, J. Membr. Sci. 17 (1984) 245.
[5] M. Pegoraro, A. Penati, L. Zanderighi, Polyurethane
membrane for gas fractionation, J. Membr. Sci. 27 (1986)
203.
[6] M. Pegoraro, L. Zanderighi, A. Penati, F. Severini, F. Bianchi,
N. Cao, R. Sisto, C. Valentini, Polyurethane membrane from
polyether and polyester diols for gas fractionation, J. Appl.
Polym. Sci. 43 (1991) 687.
[7] H. Xiao, Z.H. Ping, J.W. Xie, T.Y. Yu, Permeation of CO2
through polyurethane, J. Appl. Polym. Sci. 40 (1990) 1131.
[8] K.H. Hsieh, C.C. Tsai, S.M. Tseng, Vapor and gas
permeability of polyurethane membranes. Part I. Structure±
property relationship, J. Membr. Sci. 49 (1990) 341.
[9] K.H. Hsieh, C.C. Tsai, D.M. Chang, Vapor and gas
permeability of polyurethane membranes. Part II. Effect of
functional group, J. Membr. Sci. 56 (1991) 279.
[10] N. Cao, M. Pegoraro, F. Bianchi, L. Zanderighi, Gas transport
properties of polycarbonate±polyurethane membranes, J.
Appl. Polym. Sci. 48 (1993) 1831.
[11] G. Galland, T.M. Lam, Permeability and diffusion of gases in
segmented polyurethanes: structure±properties relations, J.
Appl. Polym. Sci. 50 (1993) 1041.
98 L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99
[12] S.L. Huang, J.Y. Lai, On the gas permeability of hydroxyl
terminated polybutadiene based polyurethane membranes, J.
Membr. Sci. 105 (1995) 137.
[13] W.C. Chan, S.A. Chen, Polyurethane cationomers. III:
Oxygen permeation, J. Polym. Sci. Part B: Polym. Phys. 33
(1995) 341.
[14] R.M. Barrer, J.A. Barrie, J. Slater, Sorption and diffusion in
ethyl cellulose. Part III. Comparison between ethyl cellulose
and rubber, J. Polym. Sci. 27 (1958) 177.
[15] W.R. Vieth, J.M. Howell, J.H. Hsieh, Dual sorption theory, J.
Membr. Sci. 1 (1976) 177.
[16] R.T. Chern, W.J. Koros, E.S. Sanders, R.E. Yui, Second
component effects on sorption and permeation of gases in
glassy polymers, J. Membr. Sci. 15 (1983) 157.
[17] L.S. Teo, J.F. Kuo, C.Y. Chen, Permeation and sorption of
CO2 through amine-contained polyurethane and poly(urea-
urethane) membranes, J. Appl. Polym. Sci. 59 (1996) 1627.
[18] ASTM, Annual Book of Standards, D-792.
[19] R.M. Barrer, G. Skirrov, Transport and equilibrium phenom-
ena in gas±elastomer systems. I. Kinetic phenomena, J.
Polym. Sci. 3(4) (1948) 549.
[20] J. Crank, The Mathematics of Diffusion, Clarandon Press,
Oxford, 1975.
[21] L.S. Teo, C.Y. Chen, J.F. Kuo, Fourier transform infrared
spectroscopy study on effect of temperature on hydrogen
bonding in amine-containing polyurethanes and poly(urea-
urethane)s, Macromolecules 30 (1997) 1793.
[22] R.W. Seymour, S.L. Cooper, DSC studies of polyurethane
block copolymer, J. Polym. Sci., Part B: Polym. Lett. 9 (1971)
689.
[23] R.W. Seymour, S.L. Cooper, Thermal analysis of polyur-
ethane block polymers, Macromolecules 6 (1973) 48.
[24] S.A. Stern, S.S. Kulkarni, Tests of a `̀ free-volume'' model of
gas permeation through polymer membranes. I. Pure CO2,
CH4, C2H4 and C3H8 in polyethylene, J. Polym. Sci., Polym.
Phys. Ed. 21 (1983) 467.
[25] E. Sada, H. Kumazawa, P. Xu, H. Nishikawa, Gas transport in
rubbery polymers, J. Appl. Polym. Sci. 33 (1987) 3037.
[26] E. Sada, H. Kumazawa, P. Xu, S.-T. Wang, Permeation of
pure carbon dioxide and methane and binary mixture through
cellulose acetate membranes, J. Polym. Sci., Part B: Polym.
Phys. 28 (1990) 113.
[27] W.J. Koros, D.R. Paul, CO2 sorption in poly(ethylene
terephthalate) above and below the glass transition, J. Polym.
Sci., Polym. Phys. Ed. 16 (1978) 1947.
[28] A.J. Erb, D.R. Paul, Gas sorption and transport in poly-
sulfone, J. Membr. Sci. 8 (1981) 11.
[29] J.S. McHattie, W.J. Koros, D.R. Paul, Gas transport properties
of polysulfones: 1. Role of symmetric of methyl group
placement on bisphenol rings, Polymer 32 (1991) 840.
[30] H. Kumayawa, J.-S Wang, T. Fukuda, E. Sada, Permeation of
carbon dioxide in glassy poly(ether imide) and poly(ether
ether ketone) membranes, J. Membr. Sci. 93 (1994) 53.
[31] L.M. Robeson, Correlation of separation factor versus
permeability for polymeric membranes, J. Membr. Sci. 62
(1991) 165.
[32] W.J. Koros, R.T. Chern, in: R.W. Rousseau (Ed.), Handbook
of Separation Process Technology, Wiley, New York, 1987,
p. 862.
[33] J.O. Hischfelder, C.F. Curtiss, R.B. Bird, Molecular Theory of
Gases and Liquids, Wiley, New York, 1954, p. 1110.
[34] V. Stannett, The transport of gases in synthetic polymeric
membranes ± An historic perspective, J. Membr. Sci. 3 (1978)
97.
L.-S. Teo et al. / Journal of Membrane Science 141 (1998) 91±99 99