# Synthesis, Characterization, and Flocculation Properties of Branched Cationic Polyacrylamide

Authors: Weimin Sun; Guangcheng Zhang; Ling Pan; Helin Li; Aihua Shi
Journal: International Journal of Polymer Science
 (2013)

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## Abstract

A water soluble branched cationic polyacrylamide (BCPAM) was synthesized using solution polymerization. The polymerization was initiated using potassium diperiodatocuprate, K5[Cu(HIO6)2](Cu(III)), initiating the self-condensing vinyl copolymerization of acrylamide and acryloxyethyltrimethyl ammonium chloride (DAC) monomer. The resulting copolymer was characterized by the use of Fourier-transform infrared (FTIR) spectroscopy and nuclear magnetic resonance (NMR) spectroscopy. Its flocculation properties were evaluated with standard jar tests of sewage. The effects of initiator concentration, monomer concentration, reaction temperature, and the mass ratio of monomers on intrinsic viscosity and flocculation properties of the product were determined using single-factor experiments and orthogonal experiment.


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## Body

## 1. Introduction

The process of coagulation and flocculation is one of the physicochemical unit processes in water and wastewater treatment [1, 2]. The object of this process is to turn small particles into larger particles through the use of chemicals called coagulants or flocculants [3]. Flocculants may be inorganic or organic, small molecules or polymers [4]. Based on their ionic nature, polymeric flocculants can be classified as anionic, nonionic, and cationic [5]. Among the polymer flocculants, cationic ones have better flocculating properties [6]. Cationic polymer flocculants have been used widely in wastewater treatment, especially in sludge dewatering [7].Most of the polymeric flocculants used at present are linear polymers [8]. When the molecular weight increases, the viscosity of the solution increases rapidly, making subsequent synthesis and purification more difficult [9]. A branched polymer has a branched molecular chain point that connects three or more chain segments [10]. Examples are graft copolymers, star-shaped polymers, comb polymers, and dendritic polymers [11]. Compared with linear polymers, branched polymers have lower viscosity and better solubility and can be dispersed more rapidly into water [12].The synthesis of a branched polyacrylamide using a supernormal valence transition metal, such as potassium diperiodatocuprate K5[Cu(HIO6)2](Cu(III)), as an initiator, in alkaline medium, and being capable of initiating the self-condensing vinyl polymerization (SCVP) of acrylamide, and then the branched polyacrylamide was obtained [13]. The self-condensing vinyl polymerization of acrylamide has been reported [14], but has not been used as a flocculant.We previously reported the synthesis of a branched nonionic polyacrylamide (BNPAM) [15]. It demonstrated better flocculation properties for clay suspension, but did not show good flocculation performance for sewage. Now, we developed a novel branched cationic flocculation agent. It was synthesized using acrylamide (AM) and acryloxyethyltrimethyl ammonium chloride (DAC) in a self-condensing vinyl copolymerization (SCVCP) reaction. The polymerization was initiated using potassium diperiodatocuprate, K5[Cu(HIO6)2](Cu(III)), as the initiator. The branched cationic polyacrylamide product was characterized using Fourier-transform infrared (FTIR) and 1H nuclear magnetic resonance (1H NMR) spectroscopy. Flocculation properties of polymers obtained were evaluated by the efficiencies of turbidity and chemical oxygen demand (COD) removal in a standard jar test with sewage.


## 2. Experimental Section

### 2.1. Chemicals

Acryloxyethyltrimethyl ammonium chloride (DAC, industrial grade) was provided by the Yantai Spark Group, China. Acrylamide (AM), copper sulphate (CuSO4·5H2O), potassium periodate (KIO4), potassium persulfate (K2S2O8), potassium hydroxide (KOH), sodium chloride (NaCl), silver nitrate (AgNO3), nitric acid (HNO3), ceric sulphate (Ce(SO4)2·4H2O), ferrous ammonium sulphate ((NH4)2Fe(SO4)2·6H2O), potassium dichromate (K2Cr2O7), silver sulfate (Ag2SO4), mercury sulfate (HgSO4), acetone, and absolute alcohol were of analytical grade and were purchased from the Tianjin Kemiou Chemical Reagent Co., Ltd., China. Reagents were used as received, without further purification.


### 2.2. Preparation

Preparation of Cu(III) solution: copper sulphate (3.54 g), potassium periodate (6.80 g), potassium persulfate (2.20 g), and potassium hydroxide (9 g) were added to about 250 mL of water. The mixture was shaken thoroughly and heated on a hot plate. In about 20 min, the boiling mixture turned intensely red, and the boiling was continued for another 20 min to complete the reaction. The resulting mixture was cooled, filtered through a sintered glass crucible (G-4), and diluted to 250 mL with double-distilled water [16].


### 2.3. Synthesis

The branched cationic polyacrylamide was synthesized using AM and DAC in an aqueous solution. The AM and distilled water were added to a 250 mL three-necked flask equipped with a stirrer and a thermometer. The solution was bubbled with nitrogen for 30 minutes to remove oxygen. DAC monomer and the Cu(III) solution as an initiator were added. The final solution was placed in a water bath at a specific reaction temperature for a period of time. At the end of polymerization, the solution was precipitated using acetone and washed with acetone and absolute alcohol several times. The polymer was then dried in a vacuum oven at 50°C for 24 h.


### 2.4. Characterizations

Fourier-transform infrared (FTIR) spectroscopy of the products in KBr pellets (2 mg/200 mg) was obtained using a Nicolet IS10 spectrophotometer with a DTGS detector and OMNIC 7.0 software. 128 scans were evaluated at a resolution of 4 cm−1. Viscosity measurements of the polymer solutions were carried out using an Ubbelohde viscometer (4–0.57) at 30°C. The viscosities were measured in dilute aqueous solution.NMR measurements were conducted using a Varian INOVA-400 spectrometer at room temperature with D2O as the solvent. Turbidity was measured using a Turbidimeter (GDS-3B). Chemical oxygen demand (COD) was measured according to Chinese national standard methods [17]. All polymer solutions were made using double-distilled water. Prior to the measurements, the solutions were allowed to cool at room temperature for 15 min.Flocculation properties of the branched cationic polyacrylamide were evaluated using jar tests of sewage. The sewage was obtained from the wastewater treatment plant of Chang’an campus, Northwestern Polytechnical University. The quality of sewage has been similar to the traditional municipal wastewater, the initial COD was 400 mg/L, turbidity was 200 NTU, and pH was about 6–8. The coagulation experiments were carried out using a jar test apparatus with six paddles. Sewage sample was added into 1000 mL beaker. The experiment was firstly carried out for 1 min with the paddle speed of 400 rpm, followed by the flocculation period for 10 min with 40 rpm. After the sedimentation lasted 15 min, the supernatant sample was withdrawn for turbidity and COD analysis.


## 2.1. Chemicals

Acryloxyethyltrimethyl ammonium chloride (DAC, industrial grade) was provided by the Yantai Spark Group, China. Acrylamide (AM), copper sulphate (CuSO4·5H2O), potassium periodate (KIO4), potassium persulfate (K2S2O8), potassium hydroxide (KOH), sodium chloride (NaCl), silver nitrate (AgNO3), nitric acid (HNO3), ceric sulphate (Ce(SO4)2·4H2O), ferrous ammonium sulphate ((NH4)2Fe(SO4)2·6H2O), potassium dichromate (K2Cr2O7), silver sulfate (Ag2SO4), mercury sulfate (HgSO4), acetone, and absolute alcohol were of analytical grade and were purchased from the Tianjin Kemiou Chemical Reagent Co., Ltd., China. Reagents were used as received, without further purification.


## 2.2. Preparation

Preparation of Cu(III) solution: copper sulphate (3.54 g), potassium periodate (6.80 g), potassium persulfate (2.20 g), and potassium hydroxide (9 g) were added to about 250 mL of water. The mixture was shaken thoroughly and heated on a hot plate. In about 20 min, the boiling mixture turned intensely red, and the boiling was continued for another 20 min to complete the reaction. The resulting mixture was cooled, filtered through a sintered glass crucible (G-4), and diluted to 250 mL with double-distilled water [16].


## 2.3. Synthesis

The branched cationic polyacrylamide was synthesized using AM and DAC in an aqueous solution. The AM and distilled water were added to a 250 mL three-necked flask equipped with a stirrer and a thermometer. The solution was bubbled with nitrogen for 30 minutes to remove oxygen. DAC monomer and the Cu(III) solution as an initiator were added. The final solution was placed in a water bath at a specific reaction temperature for a period of time. At the end of polymerization, the solution was precipitated using acetone and washed with acetone and absolute alcohol several times. The polymer was then dried in a vacuum oven at 50°C for 24 h.


## 2.4. Characterizations

Fourier-transform infrared (FTIR) spectroscopy of the products in KBr pellets (2 mg/200 mg) was obtained using a Nicolet IS10 spectrophotometer with a DTGS detector and OMNIC 7.0 software. 128 scans were evaluated at a resolution of 4 cm−1. Viscosity measurements of the polymer solutions were carried out using an Ubbelohde viscometer (4–0.57) at 30°C. The viscosities were measured in dilute aqueous solution.NMR measurements were conducted using a Varian INOVA-400 spectrometer at room temperature with D2O as the solvent. Turbidity was measured using a Turbidimeter (GDS-3B). Chemical oxygen demand (COD) was measured according to Chinese national standard methods [17]. All polymer solutions were made using double-distilled water. Prior to the measurements, the solutions were allowed to cool at room temperature for 15 min.Flocculation properties of the branched cationic polyacrylamide were evaluated using jar tests of sewage. The sewage was obtained from the wastewater treatment plant of Chang’an campus, Northwestern Polytechnical University. The quality of sewage has been similar to the traditional municipal wastewater, the initial COD was 400 mg/L, turbidity was 200 NTU, and pH was about 6–8. The coagulation experiments were carried out using a jar test apparatus with six paddles. Sewage sample was added into 1000 mL beaker. The experiment was firstly carried out for 1 min with the paddle speed of 400 rpm, followed by the flocculation period for 10 min with 40 rpm. After the sedimentation lasted 15 min, the supernatant sample was withdrawn for turbidity and COD analysis.


## 3. Results and Discussion

### 3.1. Reaction Mechanism

The reaction mechanism of preparation of branched cationic polyacrylamide was that the acrylamide (AM) and acryloxyethyltrimethyl ammonium chloride (DAC) were initiated by potassium diperiodatocuprate, K5[Cu(HIO6)2](Cu(III)), initiating the self-condensing vinyl copolymerization of AM and DAC monomer. SCVCP of AB* inimers with conventional monomers is a facile approach to obtain functional branched polymers because different types of functional groups can be incorporated into a polymer, depending on the chemical nature of the comonomer [18]. AM was formed to AB* inimers in the initiating of Cu(III), and the initiating process was shown in Figure 1.Figure 1
Scheme of initiating process.When the DAC was added, the free radical formed can initiate the self-condensing vinyl polymerization of AM and DAC, and then the branched cationic polyacrylamide (BCPAM) was formed; the reaction scheme was shown in Figure2.Figure 2
Synthesis reaction of branched cationic polyacrylamide.


### 3.2. Characterization

#### 3.2.1. FTIR Spectroscopy

Infrared spectroscopy was performed to determine the structure of the branched cationic polyacrylamide (Figure3). The absorption peak at wavelength 1170 cm−1 was from bending vibration of acyl oxygen groups, 1460 cm−1 was associated with the stretching vibration of acyl amino groups, 1480 cm−1 was assigned to the stretching vibration of methyl groups, 1600 cm−1 was from the bending vibration of imino groups, 1660 cm−1 was associated with the extension vibrating of carbonyl groups in AM, and 2960 cm−1 was associated with the extension vibration of methylene groups.Figure 3
FTIR of branched cationic polyacrylamide.


#### 3.2.2. 1H NMR Spectroscopy

1H NMR spectroscopy of the branched cationic polyacrylamide solution in D2O is shown in Figure 3.From Figure4, it can be seen that chemical shift of H atoms (1) was 3.183 ppm, H atoms (2) was 3.716 ppm, H atoms (3) was = 4.533 ppm H atoms (4) was 1.805 ppm, H atoms (5) was 2.338 ppm, H atoms (6) was 1.598 ppm, H atoms (7) was 5.649 ppm, and H atoms (8) was 6.023 ppm.Figure 4
1H NMR of branched cationic polyacrylamide.The characteristic absorption peak of –NH– and –NH2 groups was seen with infrared spectroscopy, and the characteristic chemical shift of –NH and –NH2 groups was seen using 1H NMR spectroscopy. The structure of the branched polyacrylamide was the same as initially expected.


### 3.3. Single-Factor Experiments

In order to investigate the effects of concentration of initiators, concentration of monomers, reaction temperature, ratio of monomers on intrinsic viscosity, and flocculating performance of branched cationic polyacrylamide, a series single-factor experiments were conducted.


#### 3.3.1. Effects of the Concentration of Initiators

Because the concentration of initiators has great influence on the synthesis of branched cationic polyacrylamide, the first step is to determine the optimum concentration of initiator. The reaction temperature was kept at 50°C and the reaction time was kept at 2.5 h. The total concentration of monomer was 35%, the ratio of monomer was 1 : 1, while the concentration of Cu(III) was 4, 5, 6, 7, and 10 × 5.6 × 10−4 mol·L−1, respectively. Results are shown in Figures 5, 6, and 7.Figure 5
Effects of concentration of initiators on intrinsic viscosity and rates of production.Figure 6
Effects of concentration of initiators on turbidity removal for sewage.Figure 7
Effects of concentration of initiators on COD removal for sewage.Figure5 illustrates the effects of concentration of initiators on intrinsic viscosity and rates of production. Figure 5 shows that, with the increasing of concentration of initiators, the rates of production and intrinsic viscosity of branched cationic polyacrylamide increased together. However, if the concentration of initiators was too high, the intrinsic viscosity of branched cationic polyacrylamide decreased. From Figure 5, it can also be seen that the intrinsic viscosity rises to the maximum when the concentration of initiator is 7 × 5.6 × 10−4 mol·L−1.Figures6 and 7 are curves of the flocculation performance branched cationic polymers obtained for sewage under different concentrations of initiators. Figure 7 illustrates the efficiencies of turbidity removal, and Figure 8 demonstrates the efficiencies of COD removal. From Figures 7 and 8, it can be seen that the flocculation properties of copolymer obtained were worse with the lower initiator, and the efficiencies of turbidity and COD removal for sewage were lower too. With the increase of the concentration of initiators, the amount of free radical increased, the probability of chain growth increased at the same time, the molecular chain elongated, the intrinsic viscosity rose, and the flocculation property of copolymer obtained became better. If the concentration of initiators was too much, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain was shorter. The experimental demonstrated the concentration of initiator at 7 × 5.6 × 10−4 mol/L, the intrinsic viscosity of copolymer obtained was the optimum, and the flocculation property was the optimum too. So the concentration of initiator at 7 × 5.6 × 10−4 mol/L (20% total concentration of monomers) was the optimum.Figure 8
Effects of concentration of monomers on intrinsic viscosity and rates of production.


#### 3.3.2. Effects of the Concentration of Monomers

In order to investigate the influence of concentration of monomers on intrinsic viscosity and flocculation performance of branched cationic polyacrylamide, the concentration of Cu(III) was 0.5% of total monomers, the reaction temperature was kept constant at 50°C, and the reaction time was kept constant at 2.5 h, while the mass concentration of total monomers was 15%, 20%, 25%, 30%, 35%, and 40%, respectively. The results are shown in Figures8, 9, and 10.Figure 9
Effects of concentration of monomers on turbidity removal for sewage.Figure 10
Effects of concentration of monomers on COD removal for sewage.Figure8 illustrates the relationship between concentration of monomers and the rates of production and intrinsic viscosity of branched cationic polyacrylamide. From Figure 8, it can be seen that, when the concentration of monomer were lower the concentration of radical and the intrinsic viscosity of polymer were lower too. With the increase of concentration of monomers, the probability of collision between monomer radicals becomes larger, and the intrinsic viscosity of polymer increases. The intrinsic viscosity of polymer was the highest when the concentration of monomer was 35%; after that, the intrinsic viscosity and rates of production decreased.Figures9 and 10 are the curves of the flocculation performance of branched cationic polymers obtained for sewage under different concentrations of monomers. Figure 9 illustrates the efficiencies of turbidity removal, and Figure 10 demonstrates the efficiencies of COD removal. It can be seen, from Figures 9 and 10, that the flocculation properties of copolymer obtained were worse during the lower concentration of monomer, and the efficiencies of turbidity and COD removal for sewage were lower too. With the increases of the concentration of monomers, the amount of free radical increases, the probability of chain growth increases at the same time, the molecular chain elongates, the intrinsic viscosity rises, and the flocculation property of copolymer obtained becomes better. But if the concentration of monomers was too much, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain became shorter. The experimental demonstrated the concentration of monomers at 35%, the intrinsic viscosity of copolymer obtained was the best, and the flocculation property was the best  too. So the mass concentration of monomers at 35% was the optimum.


#### 3.3.3. Effects of Reaction Temperature

In order to study the effect of reaction temperature on intrinsic viscosity and flocculation performance of branched cationic polyacrylamide, the volume of initiator was kept constant at 7 × 5.6 × 10−4 mol/L and concentration of monomer was kept constant at 35%, the ratio of monomers was 1 : 1, while the reaction temperature was 35, 40, 45, 50, 55, and 60°C, respectively. The results are shown in Figures 11,  12, and 13.Figure 11
Effects of reaction temperature on intrinsic viscosity and rates of production.Figure 12
Effects of reaction temperature on turbidity removal for sewage.Figure 13
Effects of reaction temperature on COD removal for sewage.Figure11 illustrates the relationship between reaction temperature and intrinsic viscosity of branched polyacrylamide. From Figure 11, it can be seen that, with the increase of reaction temperature, the intrinsic viscosity decreased. Because the constant of chain transfer and chain termination increased in higher temperature, these accelerated the velocity of polymerization but made its termination in the end, so the intrinsic viscosity of polymers decreased. From Figure 11, it can also be seen that, with the increase of reaction temperature, the rates of production increased at first and decreased in the end. When the temperature was lower, the activity of monomer radical decreased, and the probability of collision between monomer radicals was lower  too. With the increase of reaction temperature, and the probability of collision between monomer radicals increased. The rates of production were the highest when the reaction temperature was 45°C; after that the radical concentration became  so high, and the propagation of polymeric reaction was inhibited, so the rates of production decreased.Figures12 and 13 were the curves of the flocculation performance branched cationic polymers obtained for sewage under different reaction temperature. Figure 12 illustrateds the efficiencies of turbidity removal, and Figure 13 demonstrated the efficiencies of COD removal. It can be seen from Figures 12 and 13 that the flocculation properties of copolymer obtained were worse with the lower reaction temperature, and the rate of turbidity and COD removal for sewage was lower too. With the increase of the reaction temperature, the amount of free radical increased, the probability of chain growth increased at the same time, the molecular chain elongated, intrinsic viscosity became larger, and the flocculation property of copolymer obtained became better too. But if the reaction temperature was too high, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain became shorter. The experimental demonstrated the reaction temperature at 50°C, and the flocculation property was the best too. So the reaction temperature at 50°C was the optimum.


#### 3.3.4. Effects of the Ratio of AM and DAC

Based on three-group experiment determined above, the optimum mass concentration of monomers was 35%, and the optimum concentration of initiators was 7 × 5.6 × 10−4 mol/L, the optimum reaction temperature was 50°C. The forth step is to determine the optimum weight ratio of monomers, and the weight ratio of AM : DAC is 3 : 2, 2 : 1, 1 : 1, 1 : 2, and 2 : 3, respectively. The results are shown in Figures 14, 15, and 16.Figure 14
Effects of ratio of monomers on intrinsic viscosity and rates of production.Figure 15
Effects of ratio of monomers on turbidity removal for sewage.Figure 16
Effects of ratio of monomers on COD removal for sewage.Figure14 illustrates the relationship between the ratio of AM and DAC with intrinsic viscosity of branched cationic polyacrylamide. From Figure 14, it can be seen that the intrinsic viscosity of production increase with the increase of the ratio of AM and DAC. Because the molecular DAC contains strong polar groups, the copolymer obtained becomes stickier and stickier with the increase of DAC. From Figure 14, it can also be seen that the rates of production increased with the increase of the ratio of AM and DAC at first and decreased in the end.Figures15 and 16 are the curves of the flocculation performance branched cationic polymers obtained for sewage under different ratios of monomers. Figure 15 illustrates the efficiencies of turbidity removal, and Figure 16 demonstrates the efficiencies of COD removal. It can be seen from Figures 15 and 16 that the flocculation properties of copolymer obtained were worse with the lower ratio of DAC, and  the efficiencies of turbidity and COD removal for sewage were lower too. With the increase of the ratio of DAC, the flocculation property of copolymer obtained became better. But if the ratio of DAC was too much, the polarity of copolymer was too strong, and it made separation and purification more difficult, and its flocculation properties decreased too much. The experimental demonstrated the weight ratio of AM and DAC at 1 : 1, and its flocculation property for sewage was the optimum.


### 3.4. Orthogonal Experiment

Orthogonal Experiment reveals the complex cause-effect relationship between design parameters and performance. A key objective of this method is to uncover how the various design parameters and environmental factors affect the ultimate performance of the product or process being designed. Orthogonal arrays are special experimental designs that require only a small number of experimental trials to help discover main factor effects [19].The orthogonal experiment was a scientific method to study the effects of many different factors on material properties. It is used to reduce the number of experiments, based on the statistical findings. In order to determine the effects of initiator concentration, monomer concentration, reaction temperature, and the mass ratio of monomers on intrinsic viscosity and flocculation properties of the product comprehensively, an orthogonal experiment was done. Based on the single-factor experiment, the factors and levels are shown in Table1. The results of synthesis are shown in Table 2. The results of the jar test for sewage are shown in Table 3, and the dosage was 20 mg/L based on the single-factor experiment before.Table 1
Factors and levels.
Levels
A Concentration of initiators (5.6×10-4 mom/L)
B Concentration of monomers (%)
C Temperature (°C)
D Ratios of AM to DAC
1
5
25
45
2 : 3
2
7
35
50
1 : 1
3
10
45
55
3 : 2Table 2
Results of synthesis.
No.
Factors
Combination of factors and levels
Concentration of initiators(5.6×10-4 mom/L)
Concentration of monomers(%)
Temperature(°C)
Ratios of AM to DAC
Intrinsic viscosity (mL/g)
1
A
1
B
1
C
1
D
1
5
25
45
2 : 3
120.43
2
A
1
B
2
C
2
D
2
5
35
50
1 : 1
221.24
3
A
1
B
3
C
3
D
3
5
45
55
3 : 2
302.84
4
A
2
B
1
C
2
D
3
7
25
50
3 : 2
104.19
5
A
2
B
2
C
3
D
1
7
35
55
2 : 3
134.27
6
A
2
B
3
C
1
D
2
7
45
45
1 : 1
186.05
7
A
3
B
1
C
3
D
2
10
25
55
1 : 1
69.77
8
A
3
B
2
C
1
D
3
10
35
45
3 : 2
106.58
9
A
3
B
3
C
2
D
1
10
45
50
2 : 3
121.66Table 3
Results of jar test for sewage.
No.
Combination of factors and levels
The best rate of turbidity removal (%)
The best rate of COD removal (%)
1
A1B1C1D1
87.31
45.61
2
A1B2C2D2
85.67
31.52
3
A1B3C3D3
86.25
33.33
4
A2B1C2D3
86.45
47.37
5
A2B2C3D1
87.67
57.0
6
A2B3C1D2
84.23
34.78
7
A3B1C3D2
80.55
27.17
8
A3B2C1D3
82.57
25.00
9
A3B3C2D1
85.84
30.95The range analysis with intrinsic viscosity is shown in Table4, the range analysis of efficiencies of turbidity removal is shown in Table 5, and the range analysis of efficiencies of turbidity removal is shown in Table 6. Statistic parameters were defined as
(1)Li=∑Ii,Ki=Li3,R=max(Ki)-min(Ki),
where i is the experimental levels, i=1,2,3; I is experimental results, such as intrinsic viscosity, efficiencies of turbidity, or COD removal.Table 4
Range analysis with intrinsic viscosity.
A
B
C
D
L
1
644.51
294.39
413.06
376.36
L
2
424.51
462.09
447.09
477.06
L
3
298.01
610.55
506.88
513.61
K
1
214.84
98.13
137.69
125.45
K
2
141.50
154.03
149.03
159.02
K
3
99.34
203.52
168.96
171.20
R
115.50
105.39
31.27
45.75Table 5
Range analysis with efficiencies of turbidity removal for sewage.
A
B
C
D
L
1
259.23
254.31
254.11
260.82
L
2
258.35
255.91
257.96
250.45
L
3
248.96
256.32
254.47
255.27
K
1
86.41
84.77
84.70
86.94
K
2
86.12
85.30
85.99
83.48
K
3
82.99
85.44
84.82
85.09
R
3.42
0.67
1.28
3.46Table 6
Range analysis with efficiencies of COD removal for sewage.
A
B
C
D
L
1
110.46
120.15
105.39
133.56
L
2
139.15
113.52
109.84
93.47
L
3
83.12
99.06
117.5
105.7
K
1
36.82
40.05
35.13
44.52
K
2
46.38
37.84
36.61
31.16
K
3
27.71
33.02
39.17
35.23
R
18.67
7.03
4.04
13.36From Table4, it can be seen that RA>RB>RD>RC. It demonstrated that the intrinsic viscosity was most affected by concentration of initiators, followed by concentration of monomers, the ratio of monomers, and reaction temperature. The optimum combination was A1B3C3D3. Based on the regular free radical polymerization, the concentration of initiator is the most fundamental factor that affects the properties of polymers, and concentration of initiator was much or less will influenced much the intrinsic viscosity of the polymer obtained.From Table5, it can be seen that RD>RA>RC>RB. It demonstrates that the efficiency of turbidity removal of polymers for sewage was affected most by the ratio of monomers, followed by the concentration of initiators, reaction temperature, and concentration of monomers. The optimum combination was A1B3C2D1.From Table6, it can be seen that RA>RB>RD>RC. It demonstrates that the efficiency of COD removal of polymers for sewage was affected most by the concentration of initiators, followed by the ratio of monomers, concentration of monomers, and reaction temperature. The optimum combination was A2B1C3D1.Based on the comprehensiveness of the range analysis of Tables4, 5, and 6, the factors and levels of the orthogonal experiment were optimized as shown in Table 7 [20].Table 7
Optimization of factors and levels.
Concentration of initiators(5.6×10-4 mol/L)
Concentration of monomers (%)
Reaction temperature(°C)
The ratio of AM : DAC
5 [1]*
45 [2]
55 [4]
3 : 2 [3]
10 [1]
45 [4]
50 [3]
3 : 2 [2]
5 [2]
45 [4]
50 [3]
2 : 3 [1]
7 [1]
25 [3]
55 [4]
2 : 3 [2]
*The numbers indicate the relative effect order in the range analysis above.Considering the factors affecting the primary and secondary orders, coupled with the single-factor experiment, the change rule of searching for the best levels of intrinsic viscosity and flocculation properties, the flocculation performance of the polymer was the better, the optimum condition wasA1B3C2D1, the concentration of initiators was 5 × 5.6 × 10−4 mol/L, the concentration of monomers was 45%, the reaction temperature was 50°C, and the weight ratio of AM/DAC was 2 : 3.


## 3.1. Reaction Mechanism

The reaction mechanism of preparation of branched cationic polyacrylamide was that the acrylamide (AM) and acryloxyethyltrimethyl ammonium chloride (DAC) were initiated by potassium diperiodatocuprate, K5[Cu(HIO6)2](Cu(III)), initiating the self-condensing vinyl copolymerization of AM and DAC monomer. SCVCP of AB* inimers with conventional monomers is a facile approach to obtain functional branched polymers because different types of functional groups can be incorporated into a polymer, depending on the chemical nature of the comonomer [18]. AM was formed to AB* inimers in the initiating of Cu(III), and the initiating process was shown in Figure 1.Figure 1
Scheme of initiating process.When the DAC was added, the free radical formed can initiate the self-condensing vinyl polymerization of AM and DAC, and then the branched cationic polyacrylamide (BCPAM) was formed; the reaction scheme was shown in Figure2.Figure 2
Synthesis reaction of branched cationic polyacrylamide.


## 3.2. Characterization

### 3.2.1. FTIR Spectroscopy

Infrared spectroscopy was performed to determine the structure of the branched cationic polyacrylamide (Figure3). The absorption peak at wavelength 1170 cm−1 was from bending vibration of acyl oxygen groups, 1460 cm−1 was associated with the stretching vibration of acyl amino groups, 1480 cm−1 was assigned to the stretching vibration of methyl groups, 1600 cm−1 was from the bending vibration of imino groups, 1660 cm−1 was associated with the extension vibrating of carbonyl groups in AM, and 2960 cm−1 was associated with the extension vibration of methylene groups.Figure 3
FTIR of branched cationic polyacrylamide.


### 3.2.2. 1H NMR Spectroscopy

1H NMR spectroscopy of the branched cationic polyacrylamide solution in D2O is shown in Figure 3.From Figure4, it can be seen that chemical shift of H atoms (1) was 3.183 ppm, H atoms (2) was 3.716 ppm, H atoms (3) was = 4.533 ppm H atoms (4) was 1.805 ppm, H atoms (5) was 2.338 ppm, H atoms (6) was 1.598 ppm, H atoms (7) was 5.649 ppm, and H atoms (8) was 6.023 ppm.Figure 4
1H NMR of branched cationic polyacrylamide.The characteristic absorption peak of –NH– and –NH2 groups was seen with infrared spectroscopy, and the characteristic chemical shift of –NH and –NH2 groups was seen using 1H NMR spectroscopy. The structure of the branched polyacrylamide was the same as initially expected.


## 3.2.1. FTIR Spectroscopy

Infrared spectroscopy was performed to determine the structure of the branched cationic polyacrylamide (Figure3). The absorption peak at wavelength 1170 cm−1 was from bending vibration of acyl oxygen groups, 1460 cm−1 was associated with the stretching vibration of acyl amino groups, 1480 cm−1 was assigned to the stretching vibration of methyl groups, 1600 cm−1 was from the bending vibration of imino groups, 1660 cm−1 was associated with the extension vibrating of carbonyl groups in AM, and 2960 cm−1 was associated with the extension vibration of methylene groups.Figure 3
FTIR of branched cationic polyacrylamide.


## 3.2.2. 1H NMR Spectroscopy

1H NMR spectroscopy of the branched cationic polyacrylamide solution in D2O is shown in Figure 3.From Figure4, it can be seen that chemical shift of H atoms (1) was 3.183 ppm, H atoms (2) was 3.716 ppm, H atoms (3) was = 4.533 ppm H atoms (4) was 1.805 ppm, H atoms (5) was 2.338 ppm, H atoms (6) was 1.598 ppm, H atoms (7) was 5.649 ppm, and H atoms (8) was 6.023 ppm.Figure 4
1H NMR of branched cationic polyacrylamide.The characteristic absorption peak of –NH– and –NH2 groups was seen with infrared spectroscopy, and the characteristic chemical shift of –NH and –NH2 groups was seen using 1H NMR spectroscopy. The structure of the branched polyacrylamide was the same as initially expected.


## 3.3. Single-Factor Experiments

In order to investigate the effects of concentration of initiators, concentration of monomers, reaction temperature, ratio of monomers on intrinsic viscosity, and flocculating performance of branched cationic polyacrylamide, a series single-factor experiments were conducted.


### 3.3.1. Effects of the Concentration of Initiators

Because the concentration of initiators has great influence on the synthesis of branched cationic polyacrylamide, the first step is to determine the optimum concentration of initiator. The reaction temperature was kept at 50°C and the reaction time was kept at 2.5 h. The total concentration of monomer was 35%, the ratio of monomer was 1 : 1, while the concentration of Cu(III) was 4, 5, 6, 7, and 10 × 5.6 × 10−4 mol·L−1, respectively. Results are shown in Figures 5, 6, and 7.Figure 5
Effects of concentration of initiators on intrinsic viscosity and rates of production.Figure 6
Effects of concentration of initiators on turbidity removal for sewage.Figure 7
Effects of concentration of initiators on COD removal for sewage.Figure5 illustrates the effects of concentration of initiators on intrinsic viscosity and rates of production. Figure 5 shows that, with the increasing of concentration of initiators, the rates of production and intrinsic viscosity of branched cationic polyacrylamide increased together. However, if the concentration of initiators was too high, the intrinsic viscosity of branched cationic polyacrylamide decreased. From Figure 5, it can also be seen that the intrinsic viscosity rises to the maximum when the concentration of initiator is 7 × 5.6 × 10−4 mol·L−1.Figures6 and 7 are curves of the flocculation performance branched cationic polymers obtained for sewage under different concentrations of initiators. Figure 7 illustrates the efficiencies of turbidity removal, and Figure 8 demonstrates the efficiencies of COD removal. From Figures 7 and 8, it can be seen that the flocculation properties of copolymer obtained were worse with the lower initiator, and the efficiencies of turbidity and COD removal for sewage were lower too. With the increase of the concentration of initiators, the amount of free radical increased, the probability of chain growth increased at the same time, the molecular chain elongated, the intrinsic viscosity rose, and the flocculation property of copolymer obtained became better. If the concentration of initiators was too much, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain was shorter. The experimental demonstrated the concentration of initiator at 7 × 5.6 × 10−4 mol/L, the intrinsic viscosity of copolymer obtained was the optimum, and the flocculation property was the optimum too. So the concentration of initiator at 7 × 5.6 × 10−4 mol/L (20% total concentration of monomers) was the optimum.Figure 8
Effects of concentration of monomers on intrinsic viscosity and rates of production.


### 3.3.2. Effects of the Concentration of Monomers

In order to investigate the influence of concentration of monomers on intrinsic viscosity and flocculation performance of branched cationic polyacrylamide, the concentration of Cu(III) was 0.5% of total monomers, the reaction temperature was kept constant at 50°C, and the reaction time was kept constant at 2.5 h, while the mass concentration of total monomers was 15%, 20%, 25%, 30%, 35%, and 40%, respectively. The results are shown in Figures8, 9, and 10.Figure 9
Effects of concentration of monomers on turbidity removal for sewage.Figure 10
Effects of concentration of monomers on COD removal for sewage.Figure8 illustrates the relationship between concentration of monomers and the rates of production and intrinsic viscosity of branched cationic polyacrylamide. From Figure 8, it can be seen that, when the concentration of monomer were lower the concentration of radical and the intrinsic viscosity of polymer were lower too. With the increase of concentration of monomers, the probability of collision between monomer radicals becomes larger, and the intrinsic viscosity of polymer increases. The intrinsic viscosity of polymer was the highest when the concentration of monomer was 35%; after that, the intrinsic viscosity and rates of production decreased.Figures9 and 10 are the curves of the flocculation performance of branched cationic polymers obtained for sewage under different concentrations of monomers. Figure 9 illustrates the efficiencies of turbidity removal, and Figure 10 demonstrates the efficiencies of COD removal. It can be seen, from Figures 9 and 10, that the flocculation properties of copolymer obtained were worse during the lower concentration of monomer, and the efficiencies of turbidity and COD removal for sewage were lower too. With the increases of the concentration of monomers, the amount of free radical increases, the probability of chain growth increases at the same time, the molecular chain elongates, the intrinsic viscosity rises, and the flocculation property of copolymer obtained becomes better. But if the concentration of monomers was too much, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain became shorter. The experimental demonstrated the concentration of monomers at 35%, the intrinsic viscosity of copolymer obtained was the best, and the flocculation property was the best  too. So the mass concentration of monomers at 35% was the optimum.


### 3.3.3. Effects of Reaction Temperature

In order to study the effect of reaction temperature on intrinsic viscosity and flocculation performance of branched cationic polyacrylamide, the volume of initiator was kept constant at 7 × 5.6 × 10−4 mol/L and concentration of monomer was kept constant at 35%, the ratio of monomers was 1 : 1, while the reaction temperature was 35, 40, 45, 50, 55, and 60°C, respectively. The results are shown in Figures 11,  12, and 13.Figure 11
Effects of reaction temperature on intrinsic viscosity and rates of production.Figure 12
Effects of reaction temperature on turbidity removal for sewage.Figure 13
Effects of reaction temperature on COD removal for sewage.Figure11 illustrates the relationship between reaction temperature and intrinsic viscosity of branched polyacrylamide. From Figure 11, it can be seen that, with the increase of reaction temperature, the intrinsic viscosity decreased. Because the constant of chain transfer and chain termination increased in higher temperature, these accelerated the velocity of polymerization but made its termination in the end, so the intrinsic viscosity of polymers decreased. From Figure 11, it can also be seen that, with the increase of reaction temperature, the rates of production increased at first and decreased in the end. When the temperature was lower, the activity of monomer radical decreased, and the probability of collision between monomer radicals was lower  too. With the increase of reaction temperature, and the probability of collision between monomer radicals increased. The rates of production were the highest when the reaction temperature was 45°C; after that the radical concentration became  so high, and the propagation of polymeric reaction was inhibited, so the rates of production decreased.Figures12 and 13 were the curves of the flocculation performance branched cationic polymers obtained for sewage under different reaction temperature. Figure 12 illustrateds the efficiencies of turbidity removal, and Figure 13 demonstrated the efficiencies of COD removal. It can be seen from Figures 12 and 13 that the flocculation properties of copolymer obtained were worse with the lower reaction temperature, and the rate of turbidity and COD removal for sewage was lower too. With the increase of the reaction temperature, the amount of free radical increased, the probability of chain growth increased at the same time, the molecular chain elongated, intrinsic viscosity became larger, and the flocculation property of copolymer obtained became better too. But if the reaction temperature was too high, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain became shorter. The experimental demonstrated the reaction temperature at 50°C, and the flocculation property was the best too. So the reaction temperature at 50°C was the optimum.


### 3.3.4. Effects of the Ratio of AM and DAC

Based on three-group experiment determined above, the optimum mass concentration of monomers was 35%, and the optimum concentration of initiators was 7 × 5.6 × 10−4 mol/L, the optimum reaction temperature was 50°C. The forth step is to determine the optimum weight ratio of monomers, and the weight ratio of AM : DAC is 3 : 2, 2 : 1, 1 : 1, 1 : 2, and 2 : 3, respectively. The results are shown in Figures 14, 15, and 16.Figure 14
Effects of ratio of monomers on intrinsic viscosity and rates of production.Figure 15
Effects of ratio of monomers on turbidity removal for sewage.Figure 16
Effects of ratio of monomers on COD removal for sewage.Figure14 illustrates the relationship between the ratio of AM and DAC with intrinsic viscosity of branched cationic polyacrylamide. From Figure 14, it can be seen that the intrinsic viscosity of production increase with the increase of the ratio of AM and DAC. Because the molecular DAC contains strong polar groups, the copolymer obtained becomes stickier and stickier with the increase of DAC. From Figure 14, it can also be seen that the rates of production increased with the increase of the ratio of AM and DAC at first and decreased in the end.Figures15 and 16 are the curves of the flocculation performance branched cationic polymers obtained for sewage under different ratios of monomers. Figure 15 illustrates the efficiencies of turbidity removal, and Figure 16 demonstrates the efficiencies of COD removal. It can be seen from Figures 15 and 16 that the flocculation properties of copolymer obtained were worse with the lower ratio of DAC, and  the efficiencies of turbidity and COD removal for sewage were lower too. With the increase of the ratio of DAC, the flocculation property of copolymer obtained became better. But if the ratio of DAC was too much, the polarity of copolymer was too strong, and it made separation and purification more difficult, and its flocculation properties decreased too much. The experimental demonstrated the weight ratio of AM and DAC at 1 : 1, and its flocculation property for sewage was the optimum.


## 3.3.1. Effects of the Concentration of Initiators

Because the concentration of initiators has great influence on the synthesis of branched cationic polyacrylamide, the first step is to determine the optimum concentration of initiator. The reaction temperature was kept at 50°C and the reaction time was kept at 2.5 h. The total concentration of monomer was 35%, the ratio of monomer was 1 : 1, while the concentration of Cu(III) was 4, 5, 6, 7, and 10 × 5.6 × 10−4 mol·L−1, respectively. Results are shown in Figures 5, 6, and 7.Figure 5
Effects of concentration of initiators on intrinsic viscosity and rates of production.Figure 6
Effects of concentration of initiators on turbidity removal for sewage.Figure 7
Effects of concentration of initiators on COD removal for sewage.Figure5 illustrates the effects of concentration of initiators on intrinsic viscosity and rates of production. Figure 5 shows that, with the increasing of concentration of initiators, the rates of production and intrinsic viscosity of branched cationic polyacrylamide increased together. However, if the concentration of initiators was too high, the intrinsic viscosity of branched cationic polyacrylamide decreased. From Figure 5, it can also be seen that the intrinsic viscosity rises to the maximum when the concentration of initiator is 7 × 5.6 × 10−4 mol·L−1.Figures6 and 7 are curves of the flocculation performance branched cationic polymers obtained for sewage under different concentrations of initiators. Figure 7 illustrates the efficiencies of turbidity removal, and Figure 8 demonstrates the efficiencies of COD removal. From Figures 7 and 8, it can be seen that the flocculation properties of copolymer obtained were worse with the lower initiator, and the efficiencies of turbidity and COD removal for sewage were lower too. With the increase of the concentration of initiators, the amount of free radical increased, the probability of chain growth increased at the same time, the molecular chain elongated, the intrinsic viscosity rose, and the flocculation property of copolymer obtained became better. If the concentration of initiators was too much, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain was shorter. The experimental demonstrated the concentration of initiator at 7 × 5.6 × 10−4 mol/L, the intrinsic viscosity of copolymer obtained was the optimum, and the flocculation property was the optimum too. So the concentration of initiator at 7 × 5.6 × 10−4 mol/L (20% total concentration of monomers) was the optimum.Figure 8
Effects of concentration of monomers on intrinsic viscosity and rates of production.


## 3.3.2. Effects of the Concentration of Monomers

In order to investigate the influence of concentration of monomers on intrinsic viscosity and flocculation performance of branched cationic polyacrylamide, the concentration of Cu(III) was 0.5% of total monomers, the reaction temperature was kept constant at 50°C, and the reaction time was kept constant at 2.5 h, while the mass concentration of total monomers was 15%, 20%, 25%, 30%, 35%, and 40%, respectively. The results are shown in Figures8, 9, and 10.Figure 9
Effects of concentration of monomers on turbidity removal for sewage.Figure 10
Effects of concentration of monomers on COD removal for sewage.Figure8 illustrates the relationship between concentration of monomers and the rates of production and intrinsic viscosity of branched cationic polyacrylamide. From Figure 8, it can be seen that, when the concentration of monomer were lower the concentration of radical and the intrinsic viscosity of polymer were lower too. With the increase of concentration of monomers, the probability of collision between monomer radicals becomes larger, and the intrinsic viscosity of polymer increases. The intrinsic viscosity of polymer was the highest when the concentration of monomer was 35%; after that, the intrinsic viscosity and rates of production decreased.Figures9 and 10 are the curves of the flocculation performance of branched cationic polymers obtained for sewage under different concentrations of monomers. Figure 9 illustrates the efficiencies of turbidity removal, and Figure 10 demonstrates the efficiencies of COD removal. It can be seen, from Figures 9 and 10, that the flocculation properties of copolymer obtained were worse during the lower concentration of monomer, and the efficiencies of turbidity and COD removal for sewage were lower too. With the increases of the concentration of monomers, the amount of free radical increases, the probability of chain growth increases at the same time, the molecular chain elongates, the intrinsic viscosity rises, and the flocculation property of copolymer obtained becomes better. But if the concentration of monomers was too much, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain became shorter. The experimental demonstrated the concentration of monomers at 35%, the intrinsic viscosity of copolymer obtained was the best, and the flocculation property was the best  too. So the mass concentration of monomers at 35% was the optimum.


## 3.3.3. Effects of Reaction Temperature

In order to study the effect of reaction temperature on intrinsic viscosity and flocculation performance of branched cationic polyacrylamide, the volume of initiator was kept constant at 7 × 5.6 × 10−4 mol/L and concentration of monomer was kept constant at 35%, the ratio of monomers was 1 : 1, while the reaction temperature was 35, 40, 45, 50, 55, and 60°C, respectively. The results are shown in Figures 11,  12, and 13.Figure 11
Effects of reaction temperature on intrinsic viscosity and rates of production.Figure 12
Effects of reaction temperature on turbidity removal for sewage.Figure 13
Effects of reaction temperature on COD removal for sewage.Figure11 illustrates the relationship between reaction temperature and intrinsic viscosity of branched polyacrylamide. From Figure 11, it can be seen that, with the increase of reaction temperature, the intrinsic viscosity decreased. Because the constant of chain transfer and chain termination increased in higher temperature, these accelerated the velocity of polymerization but made its termination in the end, so the intrinsic viscosity of polymers decreased. From Figure 11, it can also be seen that, with the increase of reaction temperature, the rates of production increased at first and decreased in the end. When the temperature was lower, the activity of monomer radical decreased, and the probability of collision between monomer radicals was lower  too. With the increase of reaction temperature, and the probability of collision between monomer radicals increased. The rates of production were the highest when the reaction temperature was 45°C; after that the radical concentration became  so high, and the propagation of polymeric reaction was inhibited, so the rates of production decreased.Figures12 and 13 were the curves of the flocculation performance branched cationic polymers obtained for sewage under different reaction temperature. Figure 12 illustrateds the efficiencies of turbidity removal, and Figure 13 demonstrated the efficiencies of COD removal. It can be seen from Figures 12 and 13 that the flocculation properties of copolymer obtained were worse with the lower reaction temperature, and the rate of turbidity and COD removal for sewage was lower too. With the increase of the reaction temperature, the amount of free radical increased, the probability of chain growth increased at the same time, the molecular chain elongated, intrinsic viscosity became larger, and the flocculation property of copolymer obtained became better too. But if the reaction temperature was too high, the free radical generated was too much, the propagation of chain transfer increased, and the molecular chain became shorter. The experimental demonstrated the reaction temperature at 50°C, and the flocculation property was the best too. So the reaction temperature at 50°C was the optimum.


## 3.3.4. Effects of the Ratio of AM and DAC

Based on three-group experiment determined above, the optimum mass concentration of monomers was 35%, and the optimum concentration of initiators was 7 × 5.6 × 10−4 mol/L, the optimum reaction temperature was 50°C. The forth step is to determine the optimum weight ratio of monomers, and the weight ratio of AM : DAC is 3 : 2, 2 : 1, 1 : 1, 1 : 2, and 2 : 3, respectively. The results are shown in Figures 14, 15, and 16.Figure 14
Effects of ratio of monomers on intrinsic viscosity and rates of production.Figure 15
Effects of ratio of monomers on turbidity removal for sewage.Figure 16
Effects of ratio of monomers on COD removal for sewage.Figure14 illustrates the relationship between the ratio of AM and DAC with intrinsic viscosity of branched cationic polyacrylamide. From Figure 14, it can be seen that the intrinsic viscosity of production increase with the increase of the ratio of AM and DAC. Because the molecular DAC contains strong polar groups, the copolymer obtained becomes stickier and stickier with the increase of DAC. From Figure 14, it can also be seen that the rates of production increased with the increase of the ratio of AM and DAC at first and decreased in the end.Figures15 and 16 are the curves of the flocculation performance branched cationic polymers obtained for sewage under different ratios of monomers. Figure 15 illustrates the efficiencies of turbidity removal, and Figure 16 demonstrates the efficiencies of COD removal. It can be seen from Figures 15 and 16 that the flocculation properties of copolymer obtained were worse with the lower ratio of DAC, and  the efficiencies of turbidity and COD removal for sewage were lower too. With the increase of the ratio of DAC, the flocculation property of copolymer obtained became better. But if the ratio of DAC was too much, the polarity of copolymer was too strong, and it made separation and purification more difficult, and its flocculation properties decreased too much. The experimental demonstrated the weight ratio of AM and DAC at 1 : 1, and its flocculation property for sewage was the optimum.


## 3.4. Orthogonal Experiment

Orthogonal Experiment reveals the complex cause-effect relationship between design parameters and performance. A key objective of this method is to uncover how the various design parameters and environmental factors affect the ultimate performance of the product or process being designed. Orthogonal arrays are special experimental designs that require only a small number of experimental trials to help discover main factor effects [19].The orthogonal experiment was a scientific method to study the effects of many different factors on material properties. It is used to reduce the number of experiments, based on the statistical findings. In order to determine the effects of initiator concentration, monomer concentration, reaction temperature, and the mass ratio of monomers on intrinsic viscosity and flocculation properties of the product comprehensively, an orthogonal experiment was done. Based on the single-factor experiment, the factors and levels are shown in Table1. The results of synthesis are shown in Table 2. The results of the jar test for sewage are shown in Table 3, and the dosage was 20 mg/L based on the single-factor experiment before.Table 1
Factors and levels.
Levels
A Concentration of initiators (5.6×10-4 mom/L)
B Concentration of monomers (%)
C Temperature (°C)
D Ratios of AM to DAC
1
5
25
45
2 : 3
2
7
35
50
1 : 1
3
10
45
55
3 : 2Table 2
Results of synthesis.
No.
Factors
Combination of factors and levels
Concentration of initiators(5.6×10-4 mom/L)
Concentration of monomers(%)
Temperature(°C)
Ratios of AM to DAC
Intrinsic viscosity (mL/g)
1
A
1
B
1
C
1
D
1
5
25
45
2 : 3
120.43
2
A
1
B
2
C
2
D
2
5
35
50
1 : 1
221.24
3
A
1
B
3
C
3
D
3
5
45
55
3 : 2
302.84
4
A
2
B
1
C
2
D
3
7
25
50
3 : 2
104.19
5
A
2
B
2
C
3
D
1
7
35
55
2 : 3
134.27
6
A
2
B
3
C
1
D
2
7
45
45
1 : 1
186.05
7
A
3
B
1
C
3
D
2
10
25
55
1 : 1
69.77
8
A
3
B
2
C
1
D
3
10
35
45
3 : 2
106.58
9
A
3
B
3
C
2
D
1
10
45
50
2 : 3
121.66Table 3
Results of jar test for sewage.
No.
Combination of factors and levels
The best rate of turbidity removal (%)
The best rate of COD removal (%)
1
A1B1C1D1
87.31
45.61
2
A1B2C2D2
85.67
31.52
3
A1B3C3D3
86.25
33.33
4
A2B1C2D3
86.45
47.37
5
A2B2C3D1
87.67
57.0
6
A2B3C1D2
84.23
34.78
7
A3B1C3D2
80.55
27.17
8
A3B2C1D3
82.57
25.00
9
A3B3C2D1
85.84
30.95The range analysis with intrinsic viscosity is shown in Table4, the range analysis of efficiencies of turbidity removal is shown in Table 5, and the range analysis of efficiencies of turbidity removal is shown in Table 6. Statistic parameters were defined as
(1)Li=∑Ii,Ki=Li3,R=max(Ki)-min(Ki),
where i is the experimental levels, i=1,2,3; I is experimental results, such as intrinsic viscosity, efficiencies of turbidity, or COD removal.Table 4
Range analysis with intrinsic viscosity.
A
B
C
D
L
1
644.51
294.39
413.06
376.36
L
2
424.51
462.09
447.09
477.06
L
3
298.01
610.55
506.88
513.61
K
1
214.84
98.13
137.69
125.45
K
2
141.50
154.03
149.03
159.02
K
3
99.34
203.52
168.96
171.20
R
115.50
105.39
31.27
45.75Table 5
Range analysis with efficiencies of turbidity removal for sewage.
A
B
C
D
L
1
259.23
254.31
254.11
260.82
L
2
258.35
255.91
257.96
250.45
L
3
248.96
256.32
254.47
255.27
K
1
86.41
84.77
84.70
86.94
K
2
86.12
85.30
85.99
83.48
K
3
82.99
85.44
84.82
85.09
R
3.42
0.67
1.28
3.46Table 6
Range analysis with efficiencies of COD removal for sewage.
A
B
C
D
L
1
110.46
120.15
105.39
133.56
L
2
139.15
113.52
109.84
93.47
L
3
83.12
99.06
117.5
105.7
K
1
36.82
40.05
35.13
44.52
K
2
46.38
37.84
36.61
31.16
K
3
27.71
33.02
39.17
35.23
R
18.67
7.03
4.04
13.36From Table4, it can be seen that RA>RB>RD>RC. It demonstrated that the intrinsic viscosity was most affected by concentration of initiators, followed by concentration of monomers, the ratio of monomers, and reaction temperature. The optimum combination was A1B3C3D3. Based on the regular free radical polymerization, the concentration of initiator is the most fundamental factor that affects the properties of polymers, and concentration of initiator was much or less will influenced much the intrinsic viscosity of the polymer obtained.From Table5, it can be seen that RD>RA>RC>RB. It demonstrates that the efficiency of turbidity removal of polymers for sewage was affected most by the ratio of monomers, followed by the concentration of initiators, reaction temperature, and concentration of monomers. The optimum combination was A1B3C2D1.From Table6, it can be seen that RA>RB>RD>RC. It demonstrates that the efficiency of COD removal of polymers for sewage was affected most by the concentration of initiators, followed by the ratio of monomers, concentration of monomers, and reaction temperature. The optimum combination was A2B1C3D1.Based on the comprehensiveness of the range analysis of Tables4, 5, and 6, the factors and levels of the orthogonal experiment were optimized as shown in Table 7 [20].Table 7
Optimization of factors and levels.
Concentration of initiators(5.6×10-4 mol/L)
Concentration of monomers (%)
Reaction temperature(°C)
The ratio of AM : DAC
5 [1]*
45 [2]
55 [4]
3 : 2 [3]
10 [1]
45 [4]
50 [3]
3 : 2 [2]
5 [2]
45 [4]
50 [3]
2 : 3 [1]
7 [1]
25 [3]
55 [4]
2 : 3 [2]
*The numbers indicate the relative effect order in the range analysis above.Considering the factors affecting the primary and secondary orders, coupled with the single-factor experiment, the change rule of searching for the best levels of intrinsic viscosity and flocculation properties, the flocculation performance of the polymer was the better, the optimum condition wasA1B3C2D1, the concentration of initiators was 5 × 5.6 × 10−4 mol/L, the concentration of monomers was 45%, the reaction temperature was 50°C, and the weight ratio of AM/DAC was 2 : 3.


## 4. Conclusions

A branched cationic polyacrylamide was synthesized using self-condensating vinyl copolymerization of acrylamide and DAC monomer, with Cu(III) as initiator. The effects of concentration of initiators and monomers, reaction temperature, and the ratio of AM to DAC on intrinsic viscosity of production were evaluated using single-factor and orthogonal experiments. Its branched structure was characterized using FTIR and 1H NMR spectrum. Its flocculation properties were evaluated using jar test with sewage. Its turbidity removal efficiency for sewage was 80% or higher. The COD removal efficiency for sewage was 50% or higher. The branched cationic polyacrylamide can be used as a novel flocculant in water and wastewater treatment.



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*Source: 397027-2013-04-24.xml*