Formulation of Mixed-Matrix Membrane (PSF/Zeolite) for CO&lt;SUB&gt;2&lt;/SUB&gt;/N&lt;SUB&gt;2&lt;/SUB&gt; Separation: Screening of Polymer Concentration

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This research investigates the permeability of CO2 and N2 as well as selectivity of CO2 over N2 of polysulfone (PSF) mixed matrix membranes filled with zeolite 4&Aring particles. The membranes were prepared by solution-casting method and utilized to determine the permeation rates of N2 and CO2. It was characterized by FTIR and the gas separation performance was analysed by Design of Expert (DOE) method. FTIR result revealed the intensity of peak for sulfone S=O vibration at 1322 cm-1; it was related to O=S=O bound of polysulfone in the sample. The single concentration variable has low outcome, however the mixture concentration interaction was effectively to lead better selectivity of CO2 over N2. In terms of interaction between mixture concentrations, interaction between PSF and N-Methyl-2-pyrrolidone (NMP) has considerable effect on the permeability of CO2 with the highest F value of 0.46 membrane. NMP exhibited a high degree of polarity and hydrogen bonding which led to effect of selective skin and permeation rate. The model regression equations were developed as the potential use for screening the permeability of CO2 and N2 based on the deviation effect of polymer concentration.

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Journal of Materials Science and Chemical Engineering, 2015, 3, 65-74
Published Online May 2015 in SciRes. [http://www.scirp.org/journal/msce](http://www.scirp.org/journal/msce)
http://dx.doi.org/10.4236/msce.2015.35008

# Formulation of Mixed-Matrix Membrane (PSF/Zeolite) for CO2/N2 Separation: Screening of Polymer Concentration

Chen Chee Lek, Sunarti Abd Rahman *

Faculty of Chemical & Natural Resources Engineering, Universiti Malaysia Pahang, Lebuhraya Tun Razak,
Kuantan, Malaysia
Email: * [sunartirahman@gmail.com](mailto:sunartirahman@gmail.com)

Received 6 March 2015; accepted 10 May 2015; published 13 May 2015

Copyright © 2015 by authors and Scientific Research Publishing Inc.
This work is licensed under the Creative Commons Attribution International License (CC BY).
[http://creativecommons.org/licenses/by/4.0/](http://creativecommons.org/licenses/by/4.0/)

Abstract

This research investigates the permeability of CO2 and N2 as well as selectivity of CO2 over N2 of
polysulfone (PSF) mixed matrix membranes filled with zeolite 4Å particles. The membranes were
prepared by solution-casting method and utilized to determine the permeation rates of N2 and CO2.
It was characterized by FTIR and the gas separation performance was analysed by Design of Expert (DOE) method. FTIR result revealed the intensity of peak for sulfone S=O vibration at 1322
cm −1 ; it was related to O=S=O bound of polysulfone in the sample. The single concentration variable has low outcome, however the mixture concentration interaction was effectively to lead better selectivity of CO2 over N2. In terms of interaction between mixture concentrations, interaction
between PSF and N-Methyl-2-pyrrolidone (NMP) has considerable effect on the permeability of
CO2 with the highest F value of 0.46 membrane. NMP exhibited a high degree of polarity and hydrogen bonding which led to effect of selective skin and permeation rate. The model regression
equations were developed as the potential use for screening the permeability of CO2 and N2 based
on the deviation effect of polymer concentration.

Keywords

Mixed-Matrix Membranes, CO2/N2 Separation, Polymer

1. Introduction

Mixed-matrix membranes (MMMs) have turned into an apparent morphology to prevail over the gas selectivity

*Corresponding author.

How to cite this paper: Chee Lek, C. and Abd Rahman, S. (2015) Formulation of Mixed-Matrix Membrane (PSF/Zeolite) for
CO2/N2 Separation: Screening of Polymer Concentration. _Journal of Materials Science and Chemical Engineering_, 3, 65-74.
[http://dx.doi.org/10.4236/msce.2015.35008](http://dx.doi.org/10.4236/msce.2015.35008)

C. Chee Lek, S. Abd Rahman

limitation by conventional polymeric membranes. In previous researches, several filler materials like silica [1],
zeolites [2], conductive polymers [3] or carbon molecular sieves [4] [5] were studied to embed into polymer matrix. The notable attainment has been achieved to fabricate MMMs by using glassy polymers and zeolites as
polymeric matrix and filler respectively [6] [7]. The selection of filler was based on its molecular sieve mechanism on the polymer matrix which relied on its stiffness and higher intrinsic selectivity. Nearly all MMMs experienced the deficiency of interaction between zeolite and glassy polymer; hence it was the outcome of investigating the effect of non-selective voids at the polymer-zeolite membrane interface [8] [9]. Several methods
have been proposed and inspected to refine the interaction between polymer and zeolite [2] [10]. These approaches can be categorized into the adaptability of polymer during membrane fabrication and affinity between
zeolite and polymer. Based on the research, the polyimides, polyesters, polysulfones and polyamides resulted in
higher gas separation performance [11] [12]. The influences contributing to the result of membrane fabrication
are the mixture concentration of polymer and solvent, type of solvent and effect of solvent evaporation on the
permeability and selectivity of membranes [13].

To date, many researches have examined to improve and optimize the membrane morphology [14]-[16] and
gas separation attainment [17] through a statistical approach. In the research, the further investigation on the interaction of mixed matrix membrane variables is statistically designed with minimum experimental runs to locate ideal setting of mixture concentration factors for improving permeability of CO2 and N2 as well selectivity
of CO2 over N2. The statistical approaches were ANOVA analysis, factorial design and fitted model equations to
compute the complex interaction between the independent process factors [18]. Thus, the approachability of
these membranes for the dissociation of industrially significant CO2 and N2 could be investigated and the transport mechanism through each membrane type could be explained thoroughly by mechanistic clarification on deviations from single gas permeability assessment of the membranes.

This research aimed to synthesize and investigate the flat sheet mixed-matrix membrane of polysulfone (PSF)
and zeolite for CO2 and N2 gas separation by screening different concentration of mixture. The membranes were
fabricated and characterized for their permeability and selectivity. In order to investigate permeability of CO2
and selectivity of CO2 over N2, this current study is aimed at illustrating the interaction between concentration of
PSF, zeolite and NMP in diagnostic analysis using Design of Expert (DOE). Final regression models obtained
from DOE are expected to be able to predict the optimum mixture concentration parameters in producing high
permeability of CO2.

2. Experimental

2.1. Chemicals

The polymeric material used for the membrane preparation was analytical grade polysulfone, PSF, which was
purchased from Sigma Aldrich. The polymer has a weight-averaged molecular weight of 35,000 and melt index
of about 6.5 g/10 min. Analytical grade N-Methyl-2-pyrrolidone, NMP was used as solvent with purity of 99.5%
were sourced from Sigma-Aldrich. It has the chemical formula of C5H9NO and boiling point is 202˚C per liter.
The filler material was molecular sieve, 4Å with particle size of 8 - 12 mesh was purchased from Aldrich. They
were dried at 80˚C for 24 hours before using in membrane preparation. Nitrogen and carbon dioxide with purity
99% were obtained from Air Products Malaysia SdnBhd for gas permeation.

2.2. Sample Preparation

The mixed matrix membrane was prepared by immersion precipitation method. The zeolite was prepared from
10 to 30 W/V% and dissolved in the NMP varied from 75 to 100 cm 3 . The mixture was then mixed homogenously in the shaker at 200 rpm and 25˚C for three hours. Polysulfone was weighed from 10 to 30 W/V% and
added into mixture solution. In order to yield homogenous solution, mechanical stirrer was set at 300 rpm to
agitate the mixture for another three hours at room temperature. The dope solution was settled in a storage vessel
and degassed by using ultrasonic bath to withdraw any trace of bubbles generated by mechanical stirrer [19].
The glass plate was prepared for casting by using glass rod. The sample membranes were ready for the permeability and selectivity testing for CO2 and N2 separation.

2.3. Single Gas Permeation Test for CO2/N2 Separation

Permeability and selectivity of membrane were characterized by gas permeation equipment. The test module

C. Chee Lek, S. Abd Rahman

containing membrane with the diameter of approximately 6 cm each was prepared. The pure gas permeation
study was measured based on the gas solubility, CO2 gas must be the last gas to be measured due to its encouragement of membrane plasticization [20]. Thus, the modules were connected to the gas permeation apparatus
manufactured by Aba Manufacturing SdnBhd using purified nitrogen at two barg. The gas permeation rate from
the permeate side was measured at room temperature (25˚C ± 5˚C) using soap-bubble meter manufactured by
Dwyer. The procedures of conducting permeation test were repeated by using the carbon dioxide as the replacement of test gas at the pressure of 2 bar.

2.4. Screening Study of Membrane for CO2/N2 Separation

The permeability and selectivity of membrane were screening by using Design of Experiment (DOE) software,
version 7.1. Three variables were investigated in the study, coded as concentration of zeolite (X1), concentration
of PSF (X2) and concentration of NMP (X3) in the software. The result of gas content of nitrogen and carbon
dioxide diffused through membrane housed in a Single Gas Permeation Test was analyzed as response which
coded as Y in the software. All experiments were set in random order to reduce the influence of unexplainable
variability in the observed responses due to insignificant aspects. Mathematical models containing the notable
terms were developed for each response parameter using the multiple linear regression analysis (MLRA) and
analysis of variance (ANOVA).

3. Results and Discussion

3.1. Gas Performance Analysis

The permeability of CO2, permeability of N2 and selectivity of CO2/N2 were performed based on the single gas
permeation measurement. In this study, single gas permeation measurements for N2 and CO2 gasses were performed for all fabricated membranes. At least three samples from eight different casting solutions for each of the
membrane formulation were used with vary concentration of PSF, zeolite and NMP. The complete eight numbers of experiment design matrix and the output responses were shown in Table 1 .

The proportion differentiation between the permeability data for the whole design matrix was below 5% based
on gas permeation performed on three samples. However, it was in the range of 5.1% - 8.4% for the selectivity
of CO2/N2. Thus, the membrane preparation and testing methods were confirmed to be reproducible in this research. The single gas permeation was tested at the pressure of 2 bar. From the Table 1, the permeability of CO2
through the membrane was in higher range from 9.873 to 11.641 GPU. The solubility coefficient of CO2 was
greater at a lower operating pressure [20]. The solubility coefficient was a significant element in gas carrier
mechanism through a polymeric dense layer because the increasing of gas solubility promoted a greater permeation rate. Thus, low pressure was preferable in single gas permeation test [9] [20]. From Table 1, gas component
permeation obtained was lower than the values reported in the previous reseach for PSF membrane [12]. The

Table 1. Experimental design matrix and response results.

Specimen

Concentration Variables Experimental Result

X1 (W/V%) X2 (W/V%) X3 (cm 3 ) Y1 (GPU) Y2 (GPU) Y3

1 10 10 75 11.641 9.978 1.164

2 10 10 100 11.093 6.371 1.222

3 30 10 100 10.535 8.271 1.261

4 10 30 75 9.873 6.571 1.397

5 30 30 75 10.838 8.980 1.238

6 30 30 100 10.654 8.771 1.211

7 30 10 75 11.429 9.476 1.224

8 10 30 100 11.641 9.978 1.184

X1, concentration of PSf; X2, concentration of Zeolite; X3, concentration of NMP; Y1, permeability of CO2; Y2, permeability of N2; Y3, selectivity of
CO2/N2.

C. Chee Lek, S. Abd Rahman

difference may be due to the lengthy evaporation time in the research, thus it fabricated thicker dense top layer
structure which influenced the permeability of CO2.

3.2. Fourier Transform Infrared Spectroscopy (FTIR) Analysis

FTIR spectra were used to investigate the interactions between polymers and zeolite particles. In this respect
following the samples with higher permeability of CO2 with 11.641 GPU was determined to reveal the significant morphology of membrane polymerization based on the fabrication of polymer concentration. Figure 1
characterized that the FTIR spectra of PSF membrane with higher permeability of CO2. The peak at 3596.17
cm −1 corresponds to O-H bound in zeolite. This peak expressed the existence of an interaction between polymer
and zeolite. In high zeolite loadings, the peak intensity increased and the bounds between two phases become
durable. However, this interaction was not strong enough to eliminate the void spaces between the polymer matrix and zeolite [22]. The spectra showed two intense bands associated with aromatic –CH vibration at approximately 3859.91 cm −1 and 3748.7 cm −1 .

The FTIR bands at 1013.36 cm −1 and 1295.62 cm −1 on the PSF spectrum corresponded to ether diaryl C-O-C
stretch and anhydride C-O stretch groups respectively. Peak at 1000 - 1100 cm −1 was related to O = S = O bound
of polysulfone. This bound revealed the existence of polysulfone [22]. The band located at 1322 cm −1 was associated with sulfone S = O vibration of the membrane. The band observed at 1680.16 cm −1 was assigned to the
aromatic carbon double bond vibration which indicates the bonds were not disrupted and still remained in the
polymerisation structure. The disappearance of aromatic C-H bond and CH3 alkene bend with 3000 cm −1 and
1375 cm −1 respectively in the spectra. It reflects the completion of polymeriasation reaction. Table 2 summarized the characteristics adsorption of membrane sample with selectivity of CO2/N2 of 1.222.

Figure 1. FTIR spectra of polysulfone based membrane with higher permeability of CO 2 and higher selectivity of CO 2 /N 2 .

Table 2. Functional group of membrane sample with selectivity of CO 2 /N 2 of 1.222 in comparison of characteristics adsorp-
tion [29].

Functional Group Sample Characteristics Adsorption [29]

Sulfone S=O 1322 1300

Aromatic carbon double bond C=C 1680.16 1600 or 1475

Aromatic carbon hydrogen bond C-H 3859.91 3000 - 3020

Ether Diaryl C-O-C stretch 1013.36 1000 - 1300

Anhydride C-O stretch 1295.62 1300

O-H bound in Zeolite 3596.17 3200 - 3600

3.3. ANOVA Analysis

C. Chee Lek, S. Abd Rahman

The models expressed by the variables of amount of polysulfone (Y1), amount of zeolite (Y2) and concentration
of NMP (Y3) as a function of permeability of CO2 gas (A), permeability of N2 gas (B) and selectivity of CO2
over N2. Based on the statistical point of view, there were two analysis involved to assess the model like test of
significance of factors (SOF) and R-squared (R 2 ) test. Table 3 exhibited the result of the test of SOF and interactions for theY1, Y2, and Y3 after discarding the significant factors with Pro > F was less than 0.05. In other
words, it reflected that the statistical proof with the valid result (P < 0.5). The elements of lack of fit and pure
error were ignored in the fitted models. The models were analysed to have great (>0.70) determination
coefficient of R 2 indicating that the variation in the response could be justified by the mathematical model. Table 3 revealed the original R 2, adjusted R 2 and predicted R 2 for the models after eliminating the insignificant
terms. For each of the models, the predicted R 2 for permeability of N2 was in an acceptable concurrence with the
adjusted R 2 because they were within 0.2 with one another. The mathematical models were also investigated for
its conviction by correlated with the experimental data and the predicted data provided by the models. The data
was observed in Table 3 .

The data proved that the model provided an accurate description of the experimental data, indicating the connection between the variables and output data. The results demonstrated that there were tendencies in the linear
regression fit, and the model explains the experimental range studied adequately. The fitted regression equation
showed good fit of the models and was successful in capturing the correlation between the three concentration
variables. From all these validity tests, the model was found to be adequate for predicting the optimized production of polysulfone based mixed matrix membrane within the range of the preparation mixture concentration
studied.

3.4. Empirical Model Analysis

This empirical model was well-fitted to the experimental results, as the great value of R 2 of 0.9 gave a convinced
justification to the reliability of regression models for membrane’s permeability of carbon dioxide, as shown in
Table 3 . The model equations were analysed by F-test ANOVA which indicated that these regressions were statistically significant at 95% confidence level. The P-value for the permeability of CO2, permeability of N2 and
selectivity of CO2/N2 model were less than 0.5 expressing that LOF for the mathematical models were
significant. This problem has been previously reported [23]. This condition arised when the model was well
fitted to the data but the measurement method was very accurate and complex. The models generated for the
permeability of CO2 and N2 and selectivity of CO2/N2 by discarding the insignificant effects which was obtained
after performing eight experiments, were listed in Table 4 .

It reflected the single concentration variable has low effect, however the mixture concentration interaction
was capable to bring the better selectivity of CO2 over N2 with F value of 0.012 if compared with concentration
of PSF and zeolite. At F value of zeolite of 0.006, it was considered as minor effects on the selectivity of
CO2/N2. At high zeolite loadings of 30%, the size of interfacial voids was usually greater than gas molecular

Table 3. ANOVA and R-squared (R 2 ) statistics for the ftted models. i

Source SS DF MS F-Value Prob > F

Insignificant factors included

R 2 Adjusted R 2 Predicted R 2

0.43 6 0.072
(a) Y1 Model Residual 2.79 0.042 0.9436 0.6052 2.6095
0.03 1 0.026

Coefficient of variation (CV): 2.7%

0.03 6 0.0056
(b) Y2 Model Residual 0.97 0.037 0.8536 0.6246 8.3675
0.01 1 0.0058

Coefficient of variation (CV): 3.39%

0.01 6 0.0045
(c) Y3 Model Residual 0.51 0.048 0.752 0.7362 14.8737
0.01 1 0.0009

Coefficient of variation (CV): 2.51%

Y1, permeability of CO2; Y2, permeability of N2; Y3, selectivity of CO2/N2; SS, sum of squares; DF, degree of freedom and MS, mean square.
*Significant at “Prob > F” less than 0.05.

C. Chee Lek, S. Abd Rahman

Table 4. ANOVA for the regression model equation and coefficients of permeability of CO 2 , permeability of N 2 and selec-
tivity of CO 2 / N 2 .

Source Sum of Squares Degree of Freedom Mean Square F-Value Prob > F

Permeability of CO2

A-Zeolite 0.0620 1 0.057 0.78 0.046

B-PSf 0.0720 1 0.057 0.79 0.045

C-NMP 0.0110 1 0.057 0.71 0.043

AB 0.0340 1 0.057 0.69 0.045

AC 0.1500 1 0.057 0.87 0.037

BC 0.1400 1 0.057 0.58 0.046

Permeability of N2

A-Zeolite 0.0170 1 0.027 0.36 0.032

B-PSf 0.0200 1 0.027 0.36 0.032

C-NMP 0.0053 1 0.027 0.35 0.034

AB 0.014 1 0.027 0.33 0.035

AC 0.033 1 0.027 0.37 0.031

BC 0.046 1 0.027 0.29 0.039

Selectivity of CO2/N2

A-Zeolite 0.00528 1 0.0053 0.006 0.045

B-PSf 0.00496 1 0.0049 0.005 0.045

C-NMP 0.01081 1 0.0108 0.012 0.043

AB 0.02080 1 0.0208 0.023 0.040

AC 0.01154 1 0.0115 1.290 0.046

BC 0.01510 1 0.0151 1.690 0.042

A, concentration of zeolite; B, concentration of PSf; C, concentration of NMP.

diameter thus gas molecules were able to penetrate into these voids with lower diffusion resistance instead of
selective pores of zeolite. This leaded the molecular sieve role of zeolite pores less adequate [24]. As the result,
the rate of permeability growth for larger molecules, N2was lower than smaller molecules, CO2 and this in turn
caused to faster selectivity CO2/N2 increasing in Table 4 .

The function of interaction between concentration of PSF and NMP (BC) had considerable effect on the selectivity of CO2/N2, NMP presented a high degree of polarity and hydrogen bonding which was able to overcome the solvent volatility [25]. Hence, the outermost surface of the membrane fabricated with high polymer
concentration as a more volatile solvent was discharged during the evaporation process. The more solvent
evaporated, the thicker the concentrated polymer region which then caused to a thicker selective skin and a
minimization in permeation rate [26]. Thus, affinity between PSF and NMP potentially leaded the permeability
of CO2 and N2 as well as selectivity of CO2/N2. Association of NMP and PSF can increase with increasing
polymer concentration. Increasing in solvent-polymer interaction can result decreasing of the coagulation value

[25]. Thus, those effects encouraged delay demixing.

The concentration of zeolite and PSF had the significant effect on the selectivity of CO2 over N2 due to the F
value with 0.023, however the interaction had higher permeability of CO2 with the F value of 0.69. The cause of
low selectivity was adverse association between the zeolite and the polymer influencing to a great free volume
within the membrane [27]. During casting, the PSF was detached from the Zeolite 4’s surface causing micro-cavities throughout the membrane. Although it enhanced the permeability of CO2, but it limited the sieving

C. Chee Lek, S. Abd Rahman

mechanism which resulted low selectivity of CO2 over N2. For mixed matrix membranes to perform effectively,
it is required to functionalize molecular sieves to have great interaction between the polymeric phase and sieves.

3.5. Verification on Statistical Models and Diagnostic Statistic

Responses surface methodology has the gain of observing the interaction effect among independent variables.
The model was able to easily investigate the influences of binary combination of combining two independent
factors. From Figure 2, it revealed the variable interaction for all responses. The non-parallel curvatures indicated that there was an interaction between the element of zeolite (A) and PSF (B) in Figure 2 . Based on the
model, the maximum operating condition of the membrane stretching was predicted around the region of higher
concentration of PSF and zeolite. The range of screening PSF and zeolite concentration implied from 22.30 to
27.45 W/V% for the better selectivity of CO2/N2.
From Figure 3(a), it displayed the normal probability of the residuals, to prove whether the standard deviations between the actual and the predicted response values do obey the normal distribution [28]. The generalimpact from the graph demonstrated that the underlying errors were distributed normally as the residuals fall on the
side of straight line, and thus, there was no severe evidence of non-normality of the experimental results. The
plot of the residuals versus predicted response for the response was presented from Figure 3(b) . All points of
experimental runs were scattered randomly within the constant range of residuals across the graph within the
horizontal lines at point of ±1.50. This indicated that the model proposed was adequate and the constant variance
assumption was confirmed.

Reliability and adequacy of empirical model from respective responses was confirmed when the actual values
obtained from experimental results were compared to the estimated values from regression models from Figure
3(c) . Points above the diagonal line were those which were over-estimated and vice versa. The graph shown
from Figure 3(c), it generally implied that all experiment design points were distributed along the diagonal line.
Responses from the experimental results were well-fitted in acceptable variance range when collated to the predicted values from respective empirical models. This proved that error occurred was due to uncontrollable experimental error could be disregarded. Thus, regression models obtained from DOE can be further used as a
predictor for the screening of membrane concentration variables in order to produce a high selectivity of
CO2/N2.

3.6. Model Equations Based on Screening Effect

In general, all concentration factors had first-order effect. The linear model was performed on membrane permeability of CO2 and N2 as well as selectivity of CO2/N2. Three of the mixture concentration factors had significant model terms, which were A: concentration of zeolite, B: concentration of PSF and C: concentration of NMP.
The model equations were assessed by F-test ANOVA analysis which expressed that these regressions were statistically significant at 95% confidence level. Table 5 showed the ANOVA for the regression model

(a)                  (b)                  (c)

Figure 2. Interaction via concentration of PSf and zeolite for (a) permeability of CO 2 ; (b) permeability of N 2 and (c) selec-
tivity of CO 2 /N 2 .

C. Chee Lek, S. Abd Rahman

(a)                   (b)                 (c)

Figure 3. (a) Normal probability plot of residual; (b) Plot of residual versus predicted response and (c) Predicted vs. actual
values plot.

Table 5. The model equations for permeability of CO 2 , permeability of N 2 and selectivity of CO 2 /N 2 .

Response Equation

Permeability of CO2 Y1 = 5.93 − 0.062A − 0.072B + 0.011C + 0.034AB − 0.15AC + 0.14BC − 0.057ABC

Permeability of N2 Y2 = 2.24 − 0.017A − 0.02B − 0.00527C + 0.014AB − 0.033AC + 0.046BC − 0.027ABC

Selectivity of CO2/ N2 Y3 = −12.63 + 1.37A − 0.38B + 3.38C + 8.88AB − 3.88AC − 3.13BC + 5.13ABC

Y1, permeability of CO2; Y2, permeability of N2; Y3, selectivity of CO2/N2; A, concentration of zeolite; B, concentration of PSf; C, concentration of
NMP.

equations and coefficients for permeability of carbon dioxide.

4. Conclusion

The polysulfone-zeolite based mixed matrix membranes were fabricated in order to investigate the effect of
polymer concentration on the permeability of CO2 and N2 as well as selectivity of CO2/N2. The polymer mixtures were miscible and formed completely homogenous matrix. In accordance to our expectation, FTIR results
revealed that the intensity at 3596.17 cm −1 described the existence of an interaction between polymer and zeolite.
Maximum permeability of CO2 and selectivity of CO2/N2 of the membrane were observed at 11.641 GPU and
1.397 respectively. The DOE results revealed that these matrix membranes were affected by the interaction of
PSF and NMP to offer higher permeability and acceptance selectivity using ANOVA analysis. The range of
screening PSF and zeolite concentration was from 22.30 to 27.45 W/V% for the better selectivity of CO2/N2.
The model regression equations were developed in Table 5 for screening the permeability of CO2 and N2 as well
as selectivity of CO2/N2 based on the effect of polymer concentration.

Acknowledgements

Thank you for UMP Grant (RDU 130310) for support this research.

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Symbols

_P_ : permeability GPU
_A_ : effective membrane area cm 2
_T_ : temperature ˚C
_Tg_ : glass transition temperature ˚C
_M_ : molecular weight of the gas
_xi_ : mole fraction of gas component i in the feed side
_yi_ : mole fraction of gas component i in the permeate side
Δ _p_ : trans membrane pressure difference Bar
_ρ_ : density of the gas

Greek Letters

_δ_ : membrane thickness μm
_α_ : selectivity

Subscripts

DOE: Design of experiment
DPE: Diphenyl ether
FTIR: Fourier transform infrared
GC: Gas chromatograph
MMM: Mixed matrix membrane
NMP: N-methyl-2-pyrrolidone
PSf: Polysulfone

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Formulation of Mixed-Matrix Membrane (PSF/Zeolite) for CO&amp;lt;SUB&amp;gt;2&amp;lt;/SUB&amp;gt;/N&amp;lt;SUB&amp;gt;2&amp;lt;/SUB&amp;gt; Separation: Screening of Polymer Concentration

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Formulation of Mixed-Matrix Membrane (PSF/Zeolite) for CO<SUB>2</SUB>/N<SUB>2</SUB> Separation: Screening of Polymer Concentration