# Optimization of Deacetylation Process for Regenerated Cellulose Hollow Fiber Membranes

Authors: Xuezhong He
Journal: International Journal of Polymer Science
 (2017)

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## Abstract

Cellulose acetate (CA) hollow fibers were spun from a CA+ Polyvinylpyrrolidone (PVP)/N-methyl-2-pyrrolidone (NMP)/H2O dope solution and regenerated by deacetylation. The complete deacetylation time of 0.5 h was found at a high concentration (0.2 M) NaOH ethanol (96%) solution. The reaction rate of deacetylation with 0.5 M NaOH was faster in a 50% ethanol compared to a 96 vol.% ethanol. The hydrogen bond between CA and tertiary amide group of PVP was confirmed. The deacetylation parameters of NaOH concentration, reaction time, swelling time, and solution were investigated by orthogonal experimental design (OED) method. The degree of cross-linking, the residual acetyl content, and the PVP content in the deacetylated membranes were determined by FTIR analysis. The conjoint analysis in the Statistical Product and Service Solutions (SPSS) software was used to analyze the OED results, and the importance of the deacetylation parameters was sorted as Solution > Swelling time > Reaction time > Concentration. The optimal deacetylation condition of 96 vol.% ethanol solution, swelling time 24 h, the concentration of NaOH (0.075 M), and the reaction time (2 h) were identified. The regenerated cellulose hollow fibers under the optimal deacetylation condition can be further used as precursors for preparation of hollow fiber carbon membranes.


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## Body

## 1. Introduction

Carbon membranes have been studied in the last decade as a promising candidate for energy-efficient separation processes such as H2/CH4, H2/CO2, CO2/CH4, and Olefin/Paraffin [1]. Carbon membranes are usually prepared by the carbonization of polymer precursors, which provide better permselectivity, thermal and mechanical stability, and chemical stability compared to the commercial polymeric membranes already used [2–5]. Many literatures reported using polymeric membranes such as polyimide, PAN, and cellulosic derivatives as the precursors for making carbon membranes [6–9]. However, how to prepare cheaper, defect-free, hollow fiber precursor membranes becomes a key issue on the fabrication of carbon membranes. There are some literatures reported on the spinning of cellulose acetate (CA) fibers [10–15], but those membranes were all used in the dialysis, reverse osmosis (RO), and ultrafiltration (UF) applications. Directly carbonizing CA hollow fibers to make carbon membranes is quite challenging as it will form defects on the carbon matrix or even turn into dust. However, the regenerated cellulose precursors (replace acetyl group with hydroxyl group) from CA hollow fibers can be well used to fabricate the carbon membranes. Therefore, the cellulose regeneration from CA membranes by deacetylation becomes an important step in the posttreatment of CA membranes for preparation of cellulosic based carbon membranes [16, 17]. Some literatures reported using alkali like NaOH and KOH solution for the deacetylation [13, 15, 18, 19]. Liu and Hsieh reported that reaction time was very important for the deacetylation results [13]. Moreover, the deacetylation of CA membranes in NaOH was more efficient and complete in ethanol than in the aqueous solutions. Son et al. reported the deacetylation of CA membranes in KOH ethanol solution (0.5 M) after swelling in 25 mL of an acetone-water mixture (V/V 1/1) for 24 h [15]. They found that deacetylation was very rapid and completed within 20 min, and the deacetylated CA membranes showed the crystal structure of cellulose. The Fourier transform infrared spectroscopy (FTIR) was used in the literature to characterize the deacetylation results. However, no systematic investigation on the influences of deacetylation condition was reported, which is crucial to regenerate cellulose hollow fibers with desired structure and property as precursors for making carbon membranes. Thus, the intention of this work was to obtain the optimal deacetylation condition based on the orthogonal experimental design (OED) method and multivariate analysis.


## 2. Experimental

### 2.1. Materials

CA (MW 100,000, average acetyl content: 39.8%) was purchased from ACROS (USA). Polyvinylpyrrolidone (PVP K30, MW 10,000) was purchased from Sigma. The solvent N-methyl-2-pyrrolidone (NMP, >99.5%) was purchased from Merck (Darmstadt, Germany). Glycerol (>98%) was purchased from BDH/VWR. NaOH (>99%) was also purchased from Merck and used in the deacetylation of CA hollow fiber membranes.


### 2.2. Spinning of CA Fibers

CA hollow fiber membranes were spun using a well-known dry-jet wet spinning process [14, 20]. The dope solution consists of CA, PVP, and NMP. Two gear pumps controlled the extrusion rates of dope solution and bore fluid. A double spinneret (ID/OD, 0.5/0.7 mm) was used in this study. The spun CA hollow fiber membranes were soaked in a 10 vol.% glycerol solution overnight and then dried in the air. The additive of PVP was used to increase the porosity and make the carbon structure more open after carbonization. A schematic diagram of spinning process was shown in Figure 1.Figure 1
Schematic diagram of membrane spinning process.


### 2.3. Deacetylation

The spun CA hollow fiber membranes were deacetylated in NaOH solution. The deacetylation reaction of CA and NaOH is given in(1)The deacetylation was initially carried out with a 0.2 M NaOH solution in 96 vol.% ethanol at different reaction times to determine the complete deacetylation time. The 0.5 M NaOH solutions with different ethanol contents (50 vol.% and 96 vol.%) were then used to investigate the solution effect on the deacetylation results. The systematic investigation on the influences of the deacetylation parameters such as NaOH concentration, solution, deacetylation time, and swelling time on the regenerated cellulose hollow fiber properties was conducted by orthogonal experimental design (OED) method. Table 1 gives the factors and levels of the orthogonal experimental design. Moreover, two holdout experiments and two simulation cases were used for the validation of the OED’s results and prediction, respectively. The IBM Statistical Product and Service Solutions (SPSS) software was used to generate the experiment plan.Table 1
Factors and levels for OED of deacetylation.
Levels
Swelling time
Concentration
Solution
Reaction time
1
No swelling
0.05 M
96 vol.% ethanol
0.5 h
2
Swelling 1 h
0.075 M
50 vol.% ethanol
2 h
3
Swelling 24 h
0.1 M
4 h


### 2.4. Measurement and Characterization

Fourier transform infrared spectroscopy (FTIR) spectra for samples were obtained with Bruker Tensor 27 FTIR, which was used to determine the residual acetyl content, the PVP content, and the degree of cross-linking between CA and PVP.


## 2.1. Materials

CA (MW 100,000, average acetyl content: 39.8%) was purchased from ACROS (USA). Polyvinylpyrrolidone (PVP K30, MW 10,000) was purchased from Sigma. The solvent N-methyl-2-pyrrolidone (NMP, >99.5%) was purchased from Merck (Darmstadt, Germany). Glycerol (>98%) was purchased from BDH/VWR. NaOH (>99%) was also purchased from Merck and used in the deacetylation of CA hollow fiber membranes.


## 2.2. Spinning of CA Fibers

CA hollow fiber membranes were spun using a well-known dry-jet wet spinning process [14, 20]. The dope solution consists of CA, PVP, and NMP. Two gear pumps controlled the extrusion rates of dope solution and bore fluid. A double spinneret (ID/OD, 0.5/0.7 mm) was used in this study. The spun CA hollow fiber membranes were soaked in a 10 vol.% glycerol solution overnight and then dried in the air. The additive of PVP was used to increase the porosity and make the carbon structure more open after carbonization. A schematic diagram of spinning process was shown in Figure 1.Figure 1
Schematic diagram of membrane spinning process.


## 2.3. Deacetylation

The spun CA hollow fiber membranes were deacetylated in NaOH solution. The deacetylation reaction of CA and NaOH is given in(1)The deacetylation was initially carried out with a 0.2 M NaOH solution in 96 vol.% ethanol at different reaction times to determine the complete deacetylation time. The 0.5 M NaOH solutions with different ethanol contents (50 vol.% and 96 vol.%) were then used to investigate the solution effect on the deacetylation results. The systematic investigation on the influences of the deacetylation parameters such as NaOH concentration, solution, deacetylation time, and swelling time on the regenerated cellulose hollow fiber properties was conducted by orthogonal experimental design (OED) method. Table 1 gives the factors and levels of the orthogonal experimental design. Moreover, two holdout experiments and two simulation cases were used for the validation of the OED’s results and prediction, respectively. The IBM Statistical Product and Service Solutions (SPSS) software was used to generate the experiment plan.Table 1
Factors and levels for OED of deacetylation.
Levels
Swelling time
Concentration
Solution
Reaction time
1
No swelling
0.05 M
96 vol.% ethanol
0.5 h
2
Swelling 1 h
0.075 M
50 vol.% ethanol
2 h
3
Swelling 24 h
0.1 M
4 h


## 2.4. Measurement and Characterization

Fourier transform infrared spectroscopy (FTIR) spectra for samples were obtained with Bruker Tensor 27 FTIR, which was used to determine the residual acetyl content, the PVP content, and the degree of cross-linking between CA and PVP.


## 3. Results and Discussion

### 3.1. Functional Group Identification by FTIR

The FTIR spectra of the pure CA, pure PVP, physical mixture of CA and PVP, and membrane are shown in Figure2. The characteristic adsorption peaks 1030 cm−1, 1230 cm−1, and 1740 cm−1 are attributed to the ether group (νC-O-C), acetyl ester group (νCH3-C=O), and carbonyl group (νC=O) of CA, respectively [15]. Moreover, the characteristic peak 1665 cm−1 is attributed to the carbonyl group of PVP.Figure 2
FTIR spectra of cellulose acetate and PVP.


### 3.2. Deacetylation of CA Hollow Fiber Membranes

The CA hollow fiber membranes spun from a CA + PVP/NMP/H2O dope solution were deacetylated using a 0.2 M NaOH in a 96 vol.% ethanol solution at various reaction times after swelling in a 10 wt.% glycerol solution for 24 h. The chemical structure changes in the CA hollow fiber membranes during deacetylation were analyzed by FTIR. Figure 3 shows the FTIR spectra results. It can be seen that the intensities of the characteristic absorption peaks attributed to the vibrations of carbonyl group at 1740 cm−1 (νC=O) and 1235 cm−1 (νCH3-C=O) decrease with the increase of reaction time, but the absorption peak at 3500 cm−1 (νO-H) increases comparing to the original CA membranes. Moreover, the deacetylation reaction almost completed in half hour, which indicated that reaction rate is very fast in a high concentration NaOH solution.Figure 3
FTIR spectra for deacetylated membranes with different reaction times.In order to investigate the impact of ethanol solution, the deacetylation was conducted in a 0.5 M NaOH in 50 vol.% and 96 vol.% ethanol solutions with different reaction times. The FTIR was used to determine the residual acetyl content after deacetylation. Figure4 shows the relationship between the residual acetyl content in the CA hollow fiber membranes and reaction time at different ethanol solutions. It can be found that reaction rate in a 50 vol.% ethanol solution was faster compared to that in a 96 vol.% ethanol solution. The significant influence of ethanol solution was found at a short reaction time (<2 h).Figure 4
Dependence of residual acetyl content in membranes on reaction time.The above results in Figures3 and 4 indicated that the concentration of NaOH, swelling time, solution (i.e., different ethanol content), and reaction time had significant influences on the deacetylation results. The systematical investigation and identification of the optimal deacetylation condition are essential to fabricate the regenerated cellulose precursors with desired properties for making carbon membrane. Thus, the orthogonal experimental design method was introduced to optimize the deacetylation conditions in this study. Table 2 gives the OED’s results for deacetylation of CA hollow fiber membranes. FTIR was used to characterize the deacetylation results. Figure 5 shows the FTIR spectra of the OED results for deacetylation. The additional hydrogen bond was formed between the CA and tertiary amide group of PVP based on the strong absorption bands in the region of 2250–2700 cm−1 which is attributed to the characteristics of hydrogen bond of tertiary amide [21]. It is speculated that the formation of hydrogen bond between CA and PVP is represented in Figure 6. Therefore, the absorption ratios A2320 cm−1/A1030 cm−1 could be used to estimate the degree of cross-linking (hydrogen bond) of the deacetylated membranes. Moreover, the absorption ratios of A1740 cm−1/A1030 cm−1 and A1665 cm−1/A1030 cm−1 from FTIR spectra in Figure 5 were used to estimate the residual acetyl content and PVP content in the membranes, respectively.Table 2
The OED results for deacetylation of CA hollow fibers.
Number
Status
Swelling time
Concentration
Solutions
Reaction time
Degree of cross-linking (%)c
Acetyl content (%)d
PVP content (%)e
1
Design
No swelling
0.075 M
50% ethanol
4 h
16.81
14.42
18.83
2
Design
Swelling 24 h
0.075 M
50% ethanol
2 h
25.09
21.44
24.85
3
Design
Swelling 1 h
0.05 M
50% ethanol
2 h
17.62
15.89
21.59
4
Design
Swelling 24 h
0.05 M
96% ethanol
4 h
17.84
13.63
20.20
5
Design
No swelling
0.05 M
50% ethanol
0.5 h
13.25
34.98
17.43
6
Design
Swelling 1 h
0.075 M
96% ethanol
0.5 h
29.22
23.85
21.53
7
Design
Swelling 24 h
0.1 M
50% ethanol
0.5 h
15.89
20.42
21.04
8
Design
Swelling 1 h
0.1 M
50% ethanol
4 h
15.53
15.55
20.50
9
Design
No swelling
0.1 M
96% ethanol
2 h
21.67
19.47
24.08
10a
Holdout
Swelling 24 h
0.075 M
96% ethanol
4 h
24.45
14.06
26.40
11a
Holdout
Swelling 1 h
0.05 M
96% ethanol
4 h
17.37
12.00
20.30
12b
Simulation
Swelling 1 h
0.075 M
50% ethanol
2 h
13b
Simulation
Swelling 1 h
0.075 M
96% ethanol
2 h
aHoldout; bsimulation; cforms the hydrogen bond between CA and PVP; the value is calculated according to the ratio of absorption from IR spectra (A2320 cm−1/A1030 cm−1); dA1740 cm −1/A1030 cm−1; eA1655 cm−1/A1030 cm−1.Figure 5
FTIR spectra of deacetylated membranes (refer to Table2).Figure 6
Structure of hydrogen bond between CA and PVP.


#### 3.2.1. Conjoint Analysis

The conjoint analysis [22] in the SPSS package was used to analyze the results of orthogonal experimental design by estimation of the part worthy of the contribution from each factor’s level. Three indexes of degree of cross-linking, residual acetyl content, and PVP content in the deacetylated CA hollow fiber membranes were used to analyze the deacetylation results. The basic theory of conjoint analysis has been reported in the previous work [17]. The importance for each factor was calculated separately for each subject, and then averaged. The correlations of Pearson’s R and Kendall’s tau are 0.989 and 0.914, respectively, which indicated a good consistency between the estimated preferences and experimental results. Table 3 shows the utilities (part-worth) of each factor level and averaged importance scores for all factors. Higher utility values indicate greater preference. As expected, there is a positive relationship between the swelling time and utility (larger negative values with short swelling time mean lower utility). All the utilities are expressed in a common unit and can be added to give the total utility for any combination. Table 4 gives a simple comparison for the combinations of an arbitrary factor level (case 1) and the optimal deacetylation condition (case 2).Table 3
Utilities and averaged importance scores for different factors.
Factors and levels
Utility estimate
Averaged importance score (%)
Swelling time
No swelling
−0.889
31.94
Swelling for 1 h
−0.667
Swelling for 24 h
1.556
Concentration
0.05 M
0.222
14.76
0.075 M
0.333
0.1 M
−0.556
Solution
50% ethanol
−1.500
34.36
96% ethanol
1.500
Reaction time
0.5 h
0
18.94
2 h
0.111
4 h
−0.111
(Constant)
5.500Table 4
The examples of different deacetylation conditions.
Case
Utility (swelling time)
Utility (concentration)
Utility (solution)
Utility (reaction time)
Utility (constant)
Total utility
Remarks
1
No swelling (−0.889)
0.05 (0.222)
50% ethanol (−1.5)
0.5 h (0)
5.500
3.333
2
Swelling 24 h (1.556)
0.075 (0.333)
96% ethanol (1.5)
2 h (0.111)
5.500
9
OptimalThe averaged importance scores were used to characterize the significance of the individual factor to the overall preference. The factors with higher averaged importance score (e.g., Solution) play a more significant role compared to those with low score (e.g., NaOH concentration) as shown in Table3. Thus, the importance for these spinning parameters was sorted asSolution > Swelling time > Reaction time > Concentration.The selection of solution greatly affects the deacetylation results, and the importance of NaOH concentration in this range is relatively small. This result can be used to guide the further experimental investigation on the deacetylation of CA hollow fiber membranes, and the deacetylated membrane will be used to make carbon membrane subsequently.


#### 3.2.2. Predictions

The real power of conjoint analysis is the ability to predict the conditions that were not rated by the subjects. Based on the conjoint analysis results of orthogonal experimental design, one can predict the property of regenerated cellulose hollow fibers under other deacetylation conditions which have not been included in the plan and the holdout runs referred to the simulation cases in Table2. The prediction results were shown in Table 5. Across the three subjects (i.e., acetyl content, PVP content, and degree of cross-linking) in this study, the three models using Maximum utility, BTL, and Logit indicated that simulation case 2 would be preferred. In order to validate this simulation result, the deacetylation experiments under these two conditions were carried out and characterized by FTIR. The FTIR spectra in Figure 7 showed that the degree of cross-linking (A2320 cm−1/A1030 cm−1) is weaker and the residual acetyl content (A1740 cm−1/A1030 cm−1) is less in case 2, and the PVP content (A1665 cm−1/A1030 cm−1) is almost the same. It indicated that deacetylation condition of case 2 is better, which keeps the consistency with the simulation results by the conjoint analysis. Therefore, the prediction results based on conjoint analysis can be well used to guide the experimental design.Table 5
Simulation results by conjoint analysis.
Card number
Score
Maximum utility
BTL
Logit
1
3.778
.0%
35.9%
6.9%
2
6.778
100.0%
64.1%
93.1%Figure 7
FTIR spectra of the simulation cases (refer to Table2).


## 3.1. Functional Group Identification by FTIR

The FTIR spectra of the pure CA, pure PVP, physical mixture of CA and PVP, and membrane are shown in Figure2. The characteristic adsorption peaks 1030 cm−1, 1230 cm−1, and 1740 cm−1 are attributed to the ether group (νC-O-C), acetyl ester group (νCH3-C=O), and carbonyl group (νC=O) of CA, respectively [15]. Moreover, the characteristic peak 1665 cm−1 is attributed to the carbonyl group of PVP.Figure 2
FTIR spectra of cellulose acetate and PVP.


## 3.2. Deacetylation of CA Hollow Fiber Membranes

The CA hollow fiber membranes spun from a CA + PVP/NMP/H2O dope solution were deacetylated using a 0.2 M NaOH in a 96 vol.% ethanol solution at various reaction times after swelling in a 10 wt.% glycerol solution for 24 h. The chemical structure changes in the CA hollow fiber membranes during deacetylation were analyzed by FTIR. Figure 3 shows the FTIR spectra results. It can be seen that the intensities of the characteristic absorption peaks attributed to the vibrations of carbonyl group at 1740 cm−1 (νC=O) and 1235 cm−1 (νCH3-C=O) decrease with the increase of reaction time, but the absorption peak at 3500 cm−1 (νO-H) increases comparing to the original CA membranes. Moreover, the deacetylation reaction almost completed in half hour, which indicated that reaction rate is very fast in a high concentration NaOH solution.Figure 3
FTIR spectra for deacetylated membranes with different reaction times.In order to investigate the impact of ethanol solution, the deacetylation was conducted in a 0.5 M NaOH in 50 vol.% and 96 vol.% ethanol solutions with different reaction times. The FTIR was used to determine the residual acetyl content after deacetylation. Figure4 shows the relationship between the residual acetyl content in the CA hollow fiber membranes and reaction time at different ethanol solutions. It can be found that reaction rate in a 50 vol.% ethanol solution was faster compared to that in a 96 vol.% ethanol solution. The significant influence of ethanol solution was found at a short reaction time (<2 h).Figure 4
Dependence of residual acetyl content in membranes on reaction time.The above results in Figures3 and 4 indicated that the concentration of NaOH, swelling time, solution (i.e., different ethanol content), and reaction time had significant influences on the deacetylation results. The systematical investigation and identification of the optimal deacetylation condition are essential to fabricate the regenerated cellulose precursors with desired properties for making carbon membrane. Thus, the orthogonal experimental design method was introduced to optimize the deacetylation conditions in this study. Table 2 gives the OED’s results for deacetylation of CA hollow fiber membranes. FTIR was used to characterize the deacetylation results. Figure 5 shows the FTIR spectra of the OED results for deacetylation. The additional hydrogen bond was formed between the CA and tertiary amide group of PVP based on the strong absorption bands in the region of 2250–2700 cm−1 which is attributed to the characteristics of hydrogen bond of tertiary amide [21]. It is speculated that the formation of hydrogen bond between CA and PVP is represented in Figure 6. Therefore, the absorption ratios A2320 cm−1/A1030 cm−1 could be used to estimate the degree of cross-linking (hydrogen bond) of the deacetylated membranes. Moreover, the absorption ratios of A1740 cm−1/A1030 cm−1 and A1665 cm−1/A1030 cm−1 from FTIR spectra in Figure 5 were used to estimate the residual acetyl content and PVP content in the membranes, respectively.Table 2
The OED results for deacetylation of CA hollow fibers.
Number
Status
Swelling time
Concentration
Solutions
Reaction time
Degree of cross-linking (%)c
Acetyl content (%)d
PVP content (%)e
1
Design
No swelling
0.075 M
50% ethanol
4 h
16.81
14.42
18.83
2
Design
Swelling 24 h
0.075 M
50% ethanol
2 h
25.09
21.44
24.85
3
Design
Swelling 1 h
0.05 M
50% ethanol
2 h
17.62
15.89
21.59
4
Design
Swelling 24 h
0.05 M
96% ethanol
4 h
17.84
13.63
20.20
5
Design
No swelling
0.05 M
50% ethanol
0.5 h
13.25
34.98
17.43
6
Design
Swelling 1 h
0.075 M
96% ethanol
0.5 h
29.22
23.85
21.53
7
Design
Swelling 24 h
0.1 M
50% ethanol
0.5 h
15.89
20.42
21.04
8
Design
Swelling 1 h
0.1 M
50% ethanol
4 h
15.53
15.55
20.50
9
Design
No swelling
0.1 M
96% ethanol
2 h
21.67
19.47
24.08
10a
Holdout
Swelling 24 h
0.075 M
96% ethanol
4 h
24.45
14.06
26.40
11a
Holdout
Swelling 1 h
0.05 M
96% ethanol
4 h
17.37
12.00
20.30
12b
Simulation
Swelling 1 h
0.075 M
50% ethanol
2 h
13b
Simulation
Swelling 1 h
0.075 M
96% ethanol
2 h
aHoldout; bsimulation; cforms the hydrogen bond between CA and PVP; the value is calculated according to the ratio of absorption from IR spectra (A2320 cm−1/A1030 cm−1); dA1740 cm −1/A1030 cm−1; eA1655 cm−1/A1030 cm−1.Figure 5
FTIR spectra of deacetylated membranes (refer to Table2).Figure 6
Structure of hydrogen bond between CA and PVP.


### 3.2.1. Conjoint Analysis

The conjoint analysis [22] in the SPSS package was used to analyze the results of orthogonal experimental design by estimation of the part worthy of the contribution from each factor’s level. Three indexes of degree of cross-linking, residual acetyl content, and PVP content in the deacetylated CA hollow fiber membranes were used to analyze the deacetylation results. The basic theory of conjoint analysis has been reported in the previous work [17]. The importance for each factor was calculated separately for each subject, and then averaged. The correlations of Pearson’s R and Kendall’s tau are 0.989 and 0.914, respectively, which indicated a good consistency between the estimated preferences and experimental results. Table 3 shows the utilities (part-worth) of each factor level and averaged importance scores for all factors. Higher utility values indicate greater preference. As expected, there is a positive relationship between the swelling time and utility (larger negative values with short swelling time mean lower utility). All the utilities are expressed in a common unit and can be added to give the total utility for any combination. Table 4 gives a simple comparison for the combinations of an arbitrary factor level (case 1) and the optimal deacetylation condition (case 2).Table 3
Utilities and averaged importance scores for different factors.
Factors and levels
Utility estimate
Averaged importance score (%)
Swelling time
No swelling
−0.889
31.94
Swelling for 1 h
−0.667
Swelling for 24 h
1.556
Concentration
0.05 M
0.222
14.76
0.075 M
0.333
0.1 M
−0.556
Solution
50% ethanol
−1.500
34.36
96% ethanol
1.500
Reaction time
0.5 h
0
18.94
2 h
0.111
4 h
−0.111
(Constant)
5.500Table 4
The examples of different deacetylation conditions.
Case
Utility (swelling time)
Utility (concentration)
Utility (solution)
Utility (reaction time)
Utility (constant)
Total utility
Remarks
1
No swelling (−0.889)
0.05 (0.222)
50% ethanol (−1.5)
0.5 h (0)
5.500
3.333
2
Swelling 24 h (1.556)
0.075 (0.333)
96% ethanol (1.5)
2 h (0.111)
5.500
9
OptimalThe averaged importance scores were used to characterize the significance of the individual factor to the overall preference. The factors with higher averaged importance score (e.g., Solution) play a more significant role compared to those with low score (e.g., NaOH concentration) as shown in Table3. Thus, the importance for these spinning parameters was sorted asSolution > Swelling time > Reaction time > Concentration.The selection of solution greatly affects the deacetylation results, and the importance of NaOH concentration in this range is relatively small. This result can be used to guide the further experimental investigation on the deacetylation of CA hollow fiber membranes, and the deacetylated membrane will be used to make carbon membrane subsequently.


### 3.2.2. Predictions

The real power of conjoint analysis is the ability to predict the conditions that were not rated by the subjects. Based on the conjoint analysis results of orthogonal experimental design, one can predict the property of regenerated cellulose hollow fibers under other deacetylation conditions which have not been included in the plan and the holdout runs referred to the simulation cases in Table2. The prediction results were shown in Table 5. Across the three subjects (i.e., acetyl content, PVP content, and degree of cross-linking) in this study, the three models using Maximum utility, BTL, and Logit indicated that simulation case 2 would be preferred. In order to validate this simulation result, the deacetylation experiments under these two conditions were carried out and characterized by FTIR. The FTIR spectra in Figure 7 showed that the degree of cross-linking (A2320 cm−1/A1030 cm−1) is weaker and the residual acetyl content (A1740 cm−1/A1030 cm−1) is less in case 2, and the PVP content (A1665 cm−1/A1030 cm−1) is almost the same. It indicated that deacetylation condition of case 2 is better, which keeps the consistency with the simulation results by the conjoint analysis. Therefore, the prediction results based on conjoint analysis can be well used to guide the experimental design.Table 5
Simulation results by conjoint analysis.
Card number
Score
Maximum utility
BTL
Logit
1
3.778
.0%
35.9%
6.9%
2
6.778
100.0%
64.1%
93.1%Figure 7
FTIR spectra of the simulation cases (refer to Table2).


## 3.2.1. Conjoint Analysis

The conjoint analysis [22] in the SPSS package was used to analyze the results of orthogonal experimental design by estimation of the part worthy of the contribution from each factor’s level. Three indexes of degree of cross-linking, residual acetyl content, and PVP content in the deacetylated CA hollow fiber membranes were used to analyze the deacetylation results. The basic theory of conjoint analysis has been reported in the previous work [17]. The importance for each factor was calculated separately for each subject, and then averaged. The correlations of Pearson’s R and Kendall’s tau are 0.989 and 0.914, respectively, which indicated a good consistency between the estimated preferences and experimental results. Table 3 shows the utilities (part-worth) of each factor level and averaged importance scores for all factors. Higher utility values indicate greater preference. As expected, there is a positive relationship between the swelling time and utility (larger negative values with short swelling time mean lower utility). All the utilities are expressed in a common unit and can be added to give the total utility for any combination. Table 4 gives a simple comparison for the combinations of an arbitrary factor level (case 1) and the optimal deacetylation condition (case 2).Table 3
Utilities and averaged importance scores for different factors.
Factors and levels
Utility estimate
Averaged importance score (%)
Swelling time
No swelling
−0.889
31.94
Swelling for 1 h
−0.667
Swelling for 24 h
1.556
Concentration
0.05 M
0.222
14.76
0.075 M
0.333
0.1 M
−0.556
Solution
50% ethanol
−1.500
34.36
96% ethanol
1.500
Reaction time
0.5 h
0
18.94
2 h
0.111
4 h
−0.111
(Constant)
5.500Table 4
The examples of different deacetylation conditions.
Case
Utility (swelling time)
Utility (concentration)
Utility (solution)
Utility (reaction time)
Utility (constant)
Total utility
Remarks
1
No swelling (−0.889)
0.05 (0.222)
50% ethanol (−1.5)
0.5 h (0)
5.500
3.333
2
Swelling 24 h (1.556)
0.075 (0.333)
96% ethanol (1.5)
2 h (0.111)
5.500
9
OptimalThe averaged importance scores were used to characterize the significance of the individual factor to the overall preference. The factors with higher averaged importance score (e.g., Solution) play a more significant role compared to those with low score (e.g., NaOH concentration) as shown in Table3. Thus, the importance for these spinning parameters was sorted asSolution > Swelling time > Reaction time > Concentration.The selection of solution greatly affects the deacetylation results, and the importance of NaOH concentration in this range is relatively small. This result can be used to guide the further experimental investigation on the deacetylation of CA hollow fiber membranes, and the deacetylated membrane will be used to make carbon membrane subsequently.


## 3.2.2. Predictions

The real power of conjoint analysis is the ability to predict the conditions that were not rated by the subjects. Based on the conjoint analysis results of orthogonal experimental design, one can predict the property of regenerated cellulose hollow fibers under other deacetylation conditions which have not been included in the plan and the holdout runs referred to the simulation cases in Table2. The prediction results were shown in Table 5. Across the three subjects (i.e., acetyl content, PVP content, and degree of cross-linking) in this study, the three models using Maximum utility, BTL, and Logit indicated that simulation case 2 would be preferred. In order to validate this simulation result, the deacetylation experiments under these two conditions were carried out and characterized by FTIR. The FTIR spectra in Figure 7 showed that the degree of cross-linking (A2320 cm−1/A1030 cm−1) is weaker and the residual acetyl content (A1740 cm−1/A1030 cm−1) is less in case 2, and the PVP content (A1665 cm−1/A1030 cm−1) is almost the same. It indicated that deacetylation condition of case 2 is better, which keeps the consistency with the simulation results by the conjoint analysis. Therefore, the prediction results based on conjoint analysis can be well used to guide the experimental design.Table 5
Simulation results by conjoint analysis.
Card number
Score
Maximum utility
BTL
Logit
1
3.778
.0%
35.9%
6.9%
2
6.778
100.0%
64.1%
93.1%Figure 7
FTIR spectra of the simulation cases (refer to Table2).


## 4. Conclusions

CA hollow fiber membranes were spun from a dope solution containing CA/PVP/NMP/H2O using a dry-jet wet spinning process. The deacetylation of spun CA hollow fiber membranes was carried out in NaOH solutions. The reaction rate was very fast and completed within 0.5 h using high concentration (0.2 M) NaOH ethanol (96 vol.%) solutions. Moreover, the reaction rate is much quicker in the NaOH ethanol (50%) solution compared to the NaOH ethanol (96 vol.%) solution. From the FTIR spectra of the deacetylated membranes, the formation of hydrogen bond between CA and tertiary amide group of PVP was found. Four factors of concentration of NaOH, reaction time, swelling time, and solution were systematically investigated based on the OED method, and the conjoint analysis results indicated that the importance of these factors isSolution > Swelling time > Reaction time > Concentration.The optimal deacetylation condition with a 96 vol.% ethanol solution, a swelling time 24 h, a 0.075 M NaOH solution, and a reaction time of 2 h was identified. The regenerated cellulose hollow fibers under the optimal deacetylation condition can be used as precursors for fabrication of carbon membrane subsequently.



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*Source: 3125413-2017-06-29.xml*