As the concentration of CO2 in the atmosphere keeps increasing, the development of a highly efficient CO2 absorbent is highly desired. In this work, a binary mixture system of polyethylene glycol 200 (PEG 200) (1) + 3-dimethylamino-propylamine (DMAPA) (2) was used for CO2 absorption. Considering the importance of thermophysical properties to binary solutions, the densities and viscosities of the PEG 200 (1) + DMAPA (2) mixture were measured at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K and atmospheric pressure over the entire composition range. Based on the density and viscosity data, the excess properties and viscous flow thermodynamic parameters were calculated, respectively. To obtain the coefficients and to estimate the standard deviations between the experimental and calculated quantities, the excess molar volume (V m E), the viscosity deviation (Δη), and the excess Gibbs free energies of activation for viscous flow (ΔG* E) were fitted to the Redlich-Kister equation. Furthermore, based on the results of UV-vis, FTIR, and 1H NMR spectra, the intermolecular interaction of PEG 200 and DMAPA was discussed. Particularly, a strong intermolecular bonding is formed when the molar ratio of PEG 200 to DMAPA is about 1:2 because of the excess molar volume (V m E). On that account, a mixture of PEG 200 and DMAPA in a ratio of 1:2 was used for studying CO2 absorption, and a CO2 absorption of about 0.19 g per gram of absorbent was achieved at room temperature and atmosphere.
As the concentration of CO2 in the atmosphere keeps increasing, the development of a highly efficient CO2 absorbent is highly desired. In this work, a binary mixture system of polyethylene glycol 200 (PEG 200) (1) + 3-dimethylamino-propylamine (DMAPA) (2) was used for CO2 absorption. Considering the importance of thermophysical properties to binary solutions, the densities and viscosities of the PEG 200 (1) + DMAPA (2) mixture were measured at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K and atmospheric pressure over the entire composition range. Based on the density and viscosity data, the excess properties and viscous flow thermodynamic parameters were calculated, respectively. To obtain the coefficients and to estimate the standard deviations between the experimental and calculated quantities, the excess molar volume (V m E), the viscosity deviation (Δη), and the excess Gibbs free energies of activation for viscous flow (ΔG* E) were fitted to the Redlich-Kister equation. Furthermore, based on the results of UV-vis, FTIR, and 1H NMR spectra, the intermolecular interaction of PEG 200 and DMAPA was discussed. Particularly, a strong intermolecular bonding is formed when the molar ratio of PEG 200 to DMAPA is about 1:2 because of the excess molar volume (V m E). On that account, a mixture of PEG 200 and DMAPA in a ratio of 1:2 was used for studying CO2 absorption, and a CO2 absorption of about 0.19 g per gram of absorbent was achieved at room temperature and atmosphere.
The extensive use of fossil fuels and the rapid increase of CO2 content in the atmosphere have caused the greenhouse effect
and the negative consequences of global climate changes, and this
has attracted widespread attention.[1,2] Experts generally
deem CO2 capture and utilization (CCU) to be one of the
most effective methods to reduce global CO2 emissions.[3,4] Various methods have been proposed to capture CO2, such
as solid adsorption,[5,6] membrane separation,[7,8] and organic solvent scrubbing.[9−11] The organic solvent scrubbing
method involves either physical or chemical solvents according to
the strength of the solvent–solute interaction. Representative
amine scrubbing is the most commonly used commercial technology for
CO2 capture through chemical absorption.[12,13] However, the loss of amine by volatilization easily causes secondary
pollution in the process of CO2 removal. Especially, there
are also some shortcomings, such as equipment corrosion, relatively
high cost, and serious loss of efficiency. To improve the process
of amine absorption of CO2, the selection of a suitable
solvent is important. Thus, it is the focus of this study to find
an organic solvent that can reduce the volatilization of amine, has
better CO2 uptake, and causes less environmental damage.
Previous studies[14−17] have shown that addition of certain organic solvents, such as alcohol
and ethylene glycol derivatives, to combine with amines, has dramatically
reduced the volatilization of amines, and the resulting amine–alcohol
binary system showed superior CO2 absorption capacity.
Polyethylene glycol 200 (PEG 200) has been widely studied for CO2 absorption because it has many good properties.[18,19] Especially, it has reasonable characteristics to be labeled as a
green solvent such as being nonvolatile, noncombustible, nontoxic
to humans, animals, and aquatic organisms, and can be biodegraded
by bacteria in soil and sewage. These properties make it suitable
for replacing the previously used organic auxiliary solvent of alcohol
for CO2 capture.In the course of our study on the
capture of CO2,[20] we found that
3-dimethylamino-1-propylamine
(DMAPA) can efficiently absorb CO2 through intramolecular
proton transfer. However, the problem of high volatility of DMAPA
is still difficult to solve. Inspired by CO2 organic binding
solutions (superbase plus butanol),[21] we
propose to prepare a hydrogen bond-mixture solution of PEG 200 plus
DMAPA for CO2 absorption. The systematic study of CO2 absorption processes for the PEG 200 (1) + DMAPA
(2) system includes the following three steps: (1) determining
the density, viscosity, and excess properties of the PEG 200 (1) + DMAPA (2) mixture, (2) obtaining the gas–liquid
equilibrium data for the gas mixture of CO2 + N2 at various concentrations of PEG 200 (1) + DMAPA (2), and (3) determining the spectral properties of the PEG
200 (1) + DMAPA (2) + CO2 system.
To the best of our knowledge, studies on the thermodynamic properties
of the binary system of PEG 200 (1) + DMAPA (2), such as density (ρ), viscosity (η), and excess properties,
over a wide experimental temperature range are very lacking. Herein,
the present work mainly focuses on investigating the density and viscosity
data at T = (298.15, 303.15, 308.15, 313.15, and
318.15) K for the whole composition range. Based on the above experimental
results, the excess molar volume (VmE), viscosity deviation (Δη), and the excess Gibbs
free energies of activation for viscous flow (ΔG*E) were calculated. According to the results of excess
properties, the CO2 uptake of the PEG 200 (1) + DMAPA (2) system was also studied. These results
can be used to obtain important basic data for potential industrial
applications. Furthermore, the possible intermolecular interaction
of PEG 200 with DMAPA was also investigated using UV–vis, FTIR,
and 1H NMR spectroscopic techniques.
Results
and Discussion
Density and Viscosity
The density
of PEG 200 (1) + DMAPA (2) mixtures with
different compositions at atmospheric pressure and T = (298.15, 303.15, 308.15, 313.15, and 318.15) K was determined.
The results are shown in Table and Figure , where the mole fraction of PEG 200 is expressed by x1.
Table 1
Density Data for the Binary System
of PEG 200 (1) + DMAPA (2) as a Function
of PEG 200 Mole Fraction (x1) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K and Atmospheric
Pressurea
ρ/(g·cm–3)
x1
T = 298.15 K
T = 303.15 K
T = 308.15 K
T = 313.15 K
T = 318.15 K
0.0000
0.8098
0.8042
0.8023
0.7949
0.7938
0.0262
0.8323
0.8296
0.8265
0.8197
0.8216
0.0537
0.8585
0.8532
0.8476
0.8441
0.8435
0.0827
0.8807
0.8731
0.8700
0.8677
0.8672
0.1133
0.9008
0.8973
0.8917
0.8890
0.8879
0.1455
0.9205
0.9158
0.9119
0.9083
0.9075
0.1796
0.9394
0.9358
0.9302
0.9278
0.9267
0.2157
0.9573
0.9522
0.9473
0.9445
0.9434
0.2541
0.9746
0.9714
0.9664
0.9610
0.9600
0.2948
0.9907
0.9867
0.9822
0.9784
0.9774
0.3381
1.0053
1.0012
0.9966
0.9933
0.9922
0.3844
1.0192
1.0164
1.0116
1.0071
1.0062
0.4339
1.0328
1.0295
1.0251
1.0215
1.0206
0.4869
1.0455
1.0417
1.0378
1.0314
1.0308
0.5438
1.0566
1.0546
1.0497
1.0460
1.0450
0.6052
1.0690
1.0661
1.0618
1.0574
1.0560
0.6714
1.0791
1.0767
1.0718
1.0684
1.0659
0.7433
1.0900
1.0860
1.0811
1.0788
1.0781
0.8214
1.1001
1.0958
1.0926
1.0851
1.0832
0.9066
1.1064
1.1043
1.1013
1.0975
1.0964
1.0000
1.1213
1.1175
1.1139
1.1090
1.1057
Standard uncertainties u for each variable are u (T) =
0.01 K, u (p) = ± 5%, and u (x1) = 0.0001 and the combined
expanded uncertainty is uc (ρ) =
± 0.02%, with a 0.95 level of confidence (k ≈
2).
Figure 1
Changes in experimental densities with molar fraction
for PEG 200
(1) + DMAPA (2) at T =
(298.15, 303.15, 308.15, 313.15, and 318.15) K.
Changes in experimental densities with molar fraction
for PEG 200
(1) + DMAPA (2) at T =
(298.15, 303.15, 308.15, 313.15, and 318.15) K.Standard uncertainties u for each variable are u (T) =
0.01 K, u (p) = ± 5%, and u (x1) = 0.0001 and the combined
expanded uncertainty is uc (ρ) =
± 0.02%, with a 0.95 level of confidence (k ≈
2).It can be seen from Figure that the density
of mixtures increases with the increase
of the mole fraction of PEG 200 at the same temperature. In the same
sample, the density of the mixtures decreases with the increase of
temperature. The density of the binary solution can be calculated
using eq )[22]where x1, M1 and x2, M2 represent the molar fraction and
relative
molecular weight of pure PEG 200 and pure DMAPA, respectively. V1 and V2 are the
molar volumes of pure PEG 200 and DMAPA, respectively. A represents the fitting parameters.The average absolute deviation was calculated using eq (22)where Yexp. is
the experimental density value. Ycal. is
the calculated density value. n is the number of
experiments. The relative deviation of density of the PEG 200 (1) + DMAPA (2) mixture is within ±0.002
and is plotted in Figure .
Figure 2
Difference in density (ρcal. – ρexp.) values between the experimental data and calculated values
for the binary system of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15)
K.
Difference in density (ρcal. – ρexp.) values between the experimental data and calculated values
for the binary system of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15)
K.The viscosity of the PEG 200 (1) + DMAPA (2) mixture at T =
(298.15, 303.15, 308.15, 313.15,
and 318.15) K was measured with an Ubbelohde viscometer. The viscosity
data are listed in Table and plotted in Figure . From Figure , one can find that the viscosity decreases gradually with the increase
of temperature. This phenomenon indicates that the molecular energy
of the binary system solution tends to increase with the increase
of temperature. With the increase of the mole fraction of PEG 200,
the viscosity of mixtures increases first and then decreases at the
same temperature. When the mole fraction of PEG 200 is greater than
0.66, the viscosity increases more slowly. Particularly, when the
mole fraction of PEG 200 is 0.8214, the viscosity reaches the maximum
value and then begins to decrease.
Table 2
Viscosity Data for the Binary System
of PEG 200 (1) + DMAPA (2) as a Function
of PEG 200 Mole Fraction (x1) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K and Atmospheric
Pressurea
η/(mPa·s)
x1
T = 298.15 K
T = 303.15 K
T = 308.15 K
T = 313.15 K
T = 318.15 K
0.0000
1.06
1.04
1.02
1.00
0.99
0.0262
1.66
1.58
1.54
1.53
1.50
0.0537
2.28
2.13
2.02
1.98
1.96
0.0827
3.30
3.03
2.84
2.73
2.66
0.1133
4.67
4.23
3.89
3.69
3.57
0.1455
6.58
5.93
5.34
4.96
4.71
0.1796
9.14
8.01
7.11
6.54
6.15
0.2157
12.34
10.66
9.24
8.42
7.80
0.2541
16.22
13.85
11.88
10.78
9.79
0.2948
20.78
17.68
15.29
13.26
12.16
0.3381
25.74
21.52
17.98
15.93
14.35
0.3844
30.91
25.71
21.34
18.79
16.66
0.4339
36.11
30.09
24.68
21.69
19.20
0.4869
40.91
33.78
27.87
24.36
21.38
0.5438
45.25
37.32
30.76
26.68
23.44
0.6052
49.05
40.19
33.04
28.96
25.33
0.6714
51.42
42.45
35.55
30.51
26.73
0.7433
53.61
44.18
36.37
31.81
27.79
0.8214
55.52
45.63
37.25
32.74
28.75
0.9066
55.51
46.04
37.84
33.25
29.67
1.0000
54.56
45.65
37.59
30.60
27.29
Standard uncertainties u for each variables are u (T) =
± 0.01 K, u (p) = 5%, and u (x1) = 0.0001, and the combined
expanded uncertainty is uc (η) = ± 3%, with a 0.95 level of confidence (k ≈ 2).
Figure 3
excess molar volume (VmE) with the mole fraction for the binary system
of PEG 200 (1) + DMAPA (2) at T = (298.15,
303.15, 308.15, 313.15, and 318.15) K. The symbols represent the experimental
values, and the solid curves represent the calculated values.
excess molar volume (VmE) with the mole fraction for the binary system
of PEG 200 (1) + DMAPA (2) at T = (298.15,
303.15, 308.15, 313.15, and 318.15) K. The symbols represent the experimental
values, and the solid curves represent the calculated values.Standard uncertainties u for each variables are u (T) =
± 0.01 K, u (p) = 5%, and u (x1) = 0.0001, and the combined
expanded uncertainty is uc (η) = ± 3%, with a 0.95 level of confidence (k ≈ 2).The viscosity
can be calculated using eq (23−25)where x1 and x2 denote the mole fractions of PEG 200 and DMAPA,
respectively. η is the viscosity of mixtures, and η1 and η2 represent the viscosity values of
pure PEG 200 and DMAPA, respectively. The relative deviation of viscosity
between the experimental value and the calculated value is plotted
in Figure . It was
found that the relative deviation of viscosity data is within ±0.65.
Figure 4
Changes
in experimental viscosities with the molar fraction for
PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K.
Changes
in experimental viscosities with the molar fraction for
PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K.
Excess Property
The excess molar
volume (VmE) of the binary
system can be calculated using eq (23−25)where ρ represents the density of the
mixtures; x1, ρ1, and M1 and x2, ρ2, and M2 are the mole fraction,
density, and relative molecular weight of pure PEG 200 and DMAPA,
respectively.Figure and Table show that the VmE in all
composition ranges is negative at the experimental temperatures. That
is, the volume of the mixed solution is less than the sum of the volumes
before the two liquids are mixed. With the same composition, the VmE increases with the increase of
temperature. The VmE of the
binary solution mixture is mainly related to the chemical action,
physical properties, and structural properties of the components.
The negative VmE values of
mixtures indicate that there is a certain interaction force between
PEG 200 and DMAPA, which makes the intermolecular distance smaller
and the volume to shrink. Particularly, when the molar ratio of DMAPA
and PEG 200 is about 2:1, the VmE is the lowest, meaning that the intermolecular bonding is the strongest
at this concentration.where η represents the viscosity of
the PEG 200 (1) + DMAPA (2) system. η1 and η2 represent the viscosity of pure PEG
200 and DMAPA, respectively. x1 and x2 represent the mole fraction of PEG 200 and
DMAPA, respectively. Figure and Table show the dependence of viscosity deviations on composition and temperature.
It can be seen from each Δη curve of the PEG 200 (1) + DMAPA (2) mixture that the value of Δη
is not always negative but also shows a positive maximum and negative
minimum at around x1 ≈ 0.6067 and x1 ≈ 0.1158, respectively. The curves
become more and more flat, and the absolute values decrease at elevated
temperatures.
Figure 5
Figure 5Difference in the viscosity deviation (ηcal. – ηexp.) values between the experimental
data and calculated values for the binary system of PEG 200 (1) + DMAPA (2) at T = (298.15,
303.15, 308.15, 313.15, and 318.15) K.
Table 3
Excess
Molar Volumes (VmE) for the
Binary System of PEG 200 (1) + DMAPA (2)
at T = (298.15,
303.15, 308.15, 313.15, and 318.15) Ka
VmE/(cm3·mol–1)
x1
T = 298.15 K
T = 303.15 K
T = 308.15 K
T = 313.15 K
T = 318.15 K
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0262
–1.7083
–2.1642
–1.9843
–2.1180
–2.6013
0.0537
–3.8424
–3.9372
–3.3991
–4.0538
–4.1461
0.0827
–5.2871
–5.0583
–4.9254
–5.7380
–5.8736
0.1133
–6.3670
–6.7161
–6.2447
–7.0076
–7.0726
0.1455
–7.3049
–7.5030
–7.2899
–7.9086
–8.0298
0.1796
–8.0756
–8.4267
–7.9954
–8.7758
–8.8577
0.2157
–8.6536
–8.7912
–8.4734
–9.1898
–9.2909
0.2541
–9.0955
–9.4720
–9.1634
–9.5216
–9.6386
0.2948
–9.3248
–9.5820
–9.3503
–9.9103
–10.0429
0.3381
–9.2877
–9.5269
–9.2876
–9.8840
–10.0395
0.3844
–9.0934
–9.4964
–9.2356
–9.6581
–9.8447
0.4339
–8.7954
–9.1128
–8.9158
–9.4385
–9.6484
0.4869
–8.3083
–8.5222
–8.4152
–8.5180
–8.7788
0.5438
–7.5121
–7.9618
–7.7111
–8.1737
–8.3938
0.6052
–6.8057
–7.0975
–6.9522
–7.2794
–7.4595
0.6714
–5.6654
–6.0137
–5.7823
–6.2147
–6.2528
0.7433
–4.5201
–4.6007
–4.3817
–4.9268
–5.2759
0.8214
–3.1235
–3.1243
–3.1621
–2.8816
–3.0499
0.9066
–0.9768
–1.2871
–1.3667
–1.5997
–1.9304
1.0000
0.0000
0.0000
0.0000
0.0000
0.0000
The viscosity deviation (Δη)
of the binary system was calculated according to eq ).[23−25]
Figure 6
Viscosity
deviation (Δη) with the mole fraction for
the binary system of PEG 200 (1) + DMAPA (2) T = (298.15, 303.15, 308.15, 313.15, and 318.15)
K. The symbols represent experimental values, and the solid curves
represent the values calculated from eq .
Table 4
Viscosity Deviation (Δη)
for the Binary System of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15)
K
Δη/(mPa·s)
x1
T = 298.15 K
T = 303.15 K
T = 308.15 K
T = 313.15 K
T = 318.15 K
0.0000
0.00
0.00
0.00
0.00
0.00
0.0262
–0.80
–0.62
–0.44
–0.28
–0.15
0.0537
–1.65
–1.30
–0.97
–0.63
–0.43
0.0827
–2.18
–1.70
–1.21
–0.72
–0.51
0.1133
–2.45
–1.86
–1.28
–0.67
–0.41
0.1455
–2.26
–1.60
–1.00
–0.35
–0.12
0.1796
–1.52
–1.04
–0.48
0.22
0.43
0.2157
–0.26
0.00
0.33
1.03
1.13
0.2541
1.57
1.48
1.57
2.26
2.12
0.2948
3.95
3.49
3.49
3.54
3.41
0.3381
6.59
5.40
4.59
4.92
4.46
0.3844
9.29
7.53
6.26
6.41
5.55
0.4339
11.85
9.70
7.80
7.85
6.79
0.4869
13.80
11.02
9.04
8.95
7.58
0.5438
15.10
12.02
9.85
9.58
8.14
0.6052
15.62
12.16
9.89
10.04
8.42
0.6714
14.44
11.46
9.97
9.63
8.08
0.7433
12.78
9.98
8.17
8.81
7.26
0.8214
10.52
7.95
6.19
7.43
6.16
0.9066
5.95
4.56
3.66
5.42
4.84
1.0000
0.00
0.00
0.00
0.00
0.00
Figure 5Difference in the viscosity deviation (ηcal. – ηexp.) values between the experimental
data and calculated values for the binary system of PEG 200 (1) + DMAPA (2) at T = (298.15,
303.15, 308.15, 313.15, and 318.15) K.Viscosity
deviation (Δη) with the mole fraction for
the binary system of PEG 200 (1) + DMAPA (2) T = (298.15, 303.15, 308.15, 313.15, and 318.15)
K. The symbols represent experimental values, and the solid curves
represent the values calculated from eq .The viscosity deviation (Δη)
of the binary system was calculated according to eq ).[23−25]The excess Gibbs free energies of activation for viscous
flow (ΔG*E) values were calculated
from the viscosity
data using eq (26)where R is the general constant
of the gas, T is the absolute temperature, V, V1, and V2 are the
molar volumes of the binary mixtures, pure PEG 200, and DMAPA, respectively,
η, η1, and η2 are the absolute
viscosity of the binary mixtures, pure PEG 200, and DMAPA, respectively.
The values of ΔG*E are given in Table and are plotted in Figure .
Table 5
Excess Gibbs Free Energy of Activation
of Viscous Flow (ΔG*E) for the Binary
System of PEG (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K
ΔG*E/(kJ·mol–1)
x1
T = 298.15 K
T = 303.15 K
T = 308.15 K
T = 313.15 K
T = 318.15 K
0.0000
0.00
0.00
0.00
0.00
0.00
0.0262
0.84
0.78
0.78
0.77
0.86
0.0537
1.31
1.24
1.19
1.19
1.27
0.0827
1.92
1.83
1.77
1.76
1.77
0.1133
2.47
2.35
2.27
2.25
2.26
0.1455
3.00
2.88
2.77
2.73
2.69
0.1796
3.47
3.30
3.18
3.13
3.09
0.2157
3.85
3.68
3.52
3.47
3.40
0.2541
4.15
3.96
3.80
3.77
3.67
0.2948
4.37
4.19
4.07
3.94
3.88
0.3381
4.48
4.28
4.09
4.04
3.94
0.3844
4.49
4.29
4.11
4.07
3.94
0.4339
4.40
4.23
4.03
4.01
3.89
0.4869
4.20
4.03
3.87
3.86
3.73
0.5438
3.91
3.75
3.61
3.60
3.48
0.6052
3.52
3.36
3.24
3.28
3.17
0.6714
3.01
2.89
2.83
2.85
2.75
0.7433
2.43
2.32
2.25
2.33
2.24
0.8214
1.76
1.68
1.60
1.74
1.68
0.9066
0.95
0.91
0.87
1.03
1.02
1.0000
0.00
0.00
0.00
0.00
0.00
Figure 7
Excess Gibbs free energies
of activation for the viscous flow (ΔG*E) with the mole fraction for the binary system
of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K. The symbols represent
experimental values, and the solid curves represent the values calculated
from eq .
Excess Gibbs free energies
of activation for the viscous flow (ΔG*E) with the mole fraction for the binary system
of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K. The symbols represent
experimental values, and the solid curves represent the values calculated
from eq .As shown in Figure , the values of ΔG*E are all positive
in the whole concentration range. ΔG*E can be used as a reliable standard to detect the interaction between
different molecules.[27] Here, the results
of ΔG*E show that there is an interaction
between PEG 200 and DMAPA.The polynomial regression values
of VmE, Δη, and
ΔG*E were calculated using the Redlich
Kister eq where Q represents VmE, Δη, and ΔG*E. x1 represents the mole fraction of PEG 200 and A is the polynomial regression coefficient.
In order to study the fitting efficiency of VmE, Δη, and ΔG*E, the standard deviations between the calculated value
and the experimental value were acquired from eq where Z represents VmE, Δη, or ΔG*E, and N and m are the number of experimental points and the number of parameters
retained in the respective equations. The calculated values A and σ and the fitting
degree(R2) are shown in Table .
Table 6
Coefficients
of the Redlich–Kister
Equation and Standard Deviations for VmE/(cm3·mol–1), Δη/(mPa·s),
and ΔG*E/(kJ·mol–1) for the Binary System of PEG 200 (1) + DMAPA (2) at Different Temperatures; R2 is the Degree of Fitting
T/(K)
property
A3
A2
A1
A0
σ
R2
VmE/(cm3·mol–1)
–32.8245
21.1379
–12.4724
16.3136
0.1487
0.9981
298.15
Δη/(mPa·s)
53.57
60.38
–63.77
3.84
0.72
0.9953
ΔG*E/(kJ·mol–1)
16.52
–9.70
2.45
2.28
0.06
0.9993
VmE/(cm3·mol–1)
–33.7457
21.6664
–11.7893
15.0121
0.1296
0.9987
303.15
Δη/(mPa·s)
42.93
45.03
–52.19
4.16
0.55
0.9958
ΔG*E/(kJ·mol–1)
15.86
–9.33
2.21
2.21
0.05
0.9994
VmE/(cm3·mol–1)
–33.0189
22.2396
–10.7541
9.7849
0.0948
0.9991
308.15
Δη/(mPa·s)
35.80
36.07
–40.87
–0.49
0.35
0.9969
ΔG*E/(kJ·mol–1)
15.24
–8.66
2.20
1.46
0.05
0.9989
VmE/(cm3·mol–1)
–34.4147
21.8592
–14.3372
18.8922
0.1476
0.9980
313.15
Δη/(mPa·s)
34.45
32.45
–22.57
16.16
0.45
0.9953
ΔG*E/(kJ·mol–1)
15.07
–8.00
3.17
2.27
0.06
0.9992
VmE/(cm3·mol–1)
–34.6386
21.4404
–14.8585
16.5294
0.2882
0.9963
318.15
Δη/(mPa·s)
29.11
24.10
–17.83
18.60
0.44
0.9931
ΔG*E/(kJ·mol–1)
14.47
–7.79
3.44
1.75
0.10
0.9983
The apparent molar volumes Vφ,1 and Vφ,2 of the binary mixture
were obtained from eqs and 10,[28] and the
results are listed in Table .where
ρm is the density of
the mixture, and x1, ρ1, and M1 and x2, ρ2, and M2 are the
mole fraction, density value, and relative molecular weight of pure
PEG 200 and DMAPA, respectively. Table shows that the apparent molar volumes of binary solutions Vφ,1 and Vφ,2 increase with the increase of temperature at the same composition.
At a certain temperature, the apparent molar volume of the binary
solution Vφ,1 increases and that
of Vφ,2 decreases with the increase
of the mole fraction of PEG 200.
Table 7
Apparent Molar Volumes Vφ,1 and Vφ,2 for the Binary System of PEG 200 and DMAPA at T = (298.15, 303.15, 308.15, 313.15, and 318.15) K
Vφ,1(PEG)/(cm3·mol–1)
Vφ,2(DMAPA)/(cm3·mol–1)
x1
T/K = 298.15
303.15
308.15
313.15
318.15
T/K = 298.15
303.15
308.15
313.15
318.15
0.0000
126.19
127.06
127.35
128.54
128.72
0.0262
113.12
128.99
147.16
187.20
175.73
124.42
124.85
125.33
126.41
126.10
0.0537
106.83
121.15
136.83
146.44
148.31
122.10
122.91
123.80
124.35
124.45
0.0827
114.44
127.55
132.93
137.13
137.95
120.38
121.56
122.05
122.43
122.50
0.1133
122.15
126.55
133.55
136.94
138.26
118.95
119.51
120.40
120.84
121.01
0.1455
128.17
132.57
136.30
139.85
140.57
117.56
118.31
118.95
119.55
119.67
0.1796
133.41
136.07
140.37
142.26
143.14
116.24
116.83
117.77
118.18
118.37
0.2157
138.25
141.42
144.52
146.32
147.02
115.03
115.90
116.75
117.25
117.44
0.2541
142.56
144.27
146.91
149.79
150.38
113.84
114.42
115.32
116.30
116.50
0.2948
146.73
148.57
150.62
152.37
152.87
112.77
113.54
114.40
115.13
115.34
0.3381
150.90
152.52
154.37
155.73
156.15
111.92
112.75
113.69
114.39
114.60
0.3844
154.71
155.67
157.39
159.00
159.33
111.13
111.73
112.81
113.81
114.02
0.4339
158.09
159.11
160.52
161.67
161.95
110.30
111.09
112.17
113.04
113.26
0.4869
161.30
162.39
163.49
165.33
165.52
109.57
110.60
111.65
113.39
113.57
0.5438
164.55
165.07
166.35
167.29
167.57
109.18
109.80
111.32
112.45
112.78
0.6052
167.12
167.82
168.82
169.85
170.21
108.26
109.33
110.87
112.45
112.99
0.6714
169.93
170.44
171.51
172.24
172.81
108.02
109.08
111.25
112.75
113.91
0.7433
172.28
173.08
174.06
174.53
174.66
107.27
109.59
112.41
113.77
114.15
0.8214
174.56
175.36
175.95
177.35
177.72
106.62
110.29
113.02
119.43
121.14
0.9066
177.29
177.64
178.16
178.82
179.01
111.35
114.79
119.84
126.24
128.10
1.0000
178.82
179.65
180.11
180.59
180.69
Table 9
Gibbs Free Energy Changes (ΔG*/kJ·mol–1), Enthalpy of Activation
(ΔH*), and Entropy of Activation (ΔS*) for the Viscous Flow of the Binary System PEG 200 (1) + DMAPA (2) at Different Concentrations
ΔG*/(kJ·mol–1)
x1
ΔH*/(kJ·mol–1)
ΔS*/(J·mol–1·K–1)
T/K = 298.15
303.15
308.15
313.15
318.15
0.0000
1.51 ± 0.087
–215.52 ± 0.28
65.77
66.85
67.92
69.00
70.08
0.0262
2.83 ± 0.99
–214.73 ± 3.23
66.89
67.89
68.96
70.03
71.19
0.0537
5.07 ± 1.18
–209.77 ± 3.84
67.66
68.64
69.65
70.72
71.87
0.0827
7.80 ± 0.92
–203.70 ± 3.00
68.58
69.53
70.52
71.57
72.65
0.1133
10.07 ± 1.08
–199.00 ± 3.50
69.45
70.38
71.33
72.36
73.44
0.1455
12.86 ± 0.86
–192.61 ± 2.79
70.32
71.24
72.16
73.15
74.18
0.1796
15.17 ± 1.13
–187.60 ± 3.66
71.15
72.02
72.92
73.89
74.91
0.2157
17.64 ± 1.22
–181.89 ± 3.95
71.92
72.77
73.62
74.58
75.57
0.2541
19.26 ± 1.20
–178.82 ± 3.88
72.62
73.45
74.29
75.25
76.20
0.2948
20.91 ± 0.97
–175.52 ± 3.15
73.28
74.11
74.97
75.83
76.81
0.3381
22.68 ± 1.35
–171.45 ± 4.37
73.85
74.65
75.43
76.35
77.29
0.3844
23.95 ± 1.21
–168.90 ± 3.92
74.35
75.14
75.91
76.83
77.74
0.4339
24.64 ± 1.26
–168.05 ± 4.10
74.79
75.59
76.34
77.25
78.16
0.4869
25.06 ± 1.16
–167.88 ± 3.77
75.15
75.94
76.71
77.62
78.52
0.5438
25.60 ± 1.10
–167.11 ± 3.58
75.47
76.25
77.03
77.92
78.82
0.6052
25.55 ± 1.27
–168.13 ± 4.13
75.73
76.51
77.28
78.20
79.10
0.6714
25.37 ± 0.82
–169.45 ± 2.65
75.92
76.72
77.54
78.41
79.32
0.7433
25.49 ± 1.10
–169.62 ± 3.57
76.10
76.90
77.68
78.60
79.50
0.8214
25.40 ± 1.43
–170.45 ± 4.63
76.27
77.07
77.83
78.77
79.69
0.9066
24.56 ± 1.45
–173.60 ± 4.70
76.37
77.18
77.96
78.90
79.86
1.0000
27.63 ± 1.18
–163.61 ± 3.85
76.41
77.25
78.04
78.78
79.74
The partial molar volume of the mixed solution
was calculated using equation and 12(28)where V1and V2 are the molar volumes of the pure components
and VmE is the excess molar
volume of the mixture. The calculated data are listed in Table The partial molar
volumes of V1® and V2® increase with the
increase of the mole fraction of PEG 200, while V1® and V2® do not change significantly with temperatures.
Table 8
Partial Molar Volumes V1® and V2® for the Binary System of PEG 200 and DMAPA
at T = (298.15, 303.15, 308.15, 313.15, and 318.15)
K
V1(PEG)/(cm3·mol–1)
V2(DMAPA)/(cm3·mol–1)
x1
T/K = 298.15
303.15
308.15
313.15
318.15
T/K = 298.15
303.15
308.15
313.15
318.15
0.0000
107.04
106.83
110.07
104.60
106.46
126.19
127.06
127.35
128.54
128.72
0.0262
116.10
115.48
118.29
114.01
115.05
122.82
123.21
123.74
124.69
124.43
0.0537
124.08
123.88
126.50
122.89
124.02
119.43
120.15
121.07
121.43
121.60
0.0827
132.04
132.22
133.97
131.26
132.09
117.12
118.13
118.67
118.86
119.01
0.1133
139.62
139.27
140.95
139.23
139.92
115.58
115.98
116.85
117.12
117.36
0.1455
146.53
146.40
147.47
146.70
147.16
114.57
115.09
115.68
116.18
116.37
0.1796
152.76
152.54
153.56
153.28
153.65
114.11
114.45
115.22
115.68
115.90
0.2157
158.30
158.36
159.07
159.36
159.62
114.20
114.73
115.33
116.00
116.22
0.2541
163.06
162.95
163.51
164.54
164.73
114.75
115.01
115.56
116.76
116.96
0.2948
167.11
167.18
167.59
168.65
168.82
115.79
116.16
116.59
117.74
117.94
0.3381
170.49
170.65
171.06
172.19
172.35
117.31
117.69
118.09
119.37
119.57
0.3844
173.12
173.19
173.65
174.94
175.11
119.15
119.37
119.77
121.35
121.56
0.4339
175.00
175.23
175.68
176.77
176.97
121.16
121.48
121.82
123.39
123.63
0.4869
176.29
176.69
177.13
178.47
178.68
123.35
123.80
124.09
126.09
126.36
0.5438
177.22
177.45
178.12
178.89
179.18
125.77
126.04
126.52
128.11
128.51
0.6052
177.53
177.98
178.61
179.30
179.66
127.98
128.50
128.94
130.52
131.05
0.6714
177.91
178.35
179.10
179.51
180.02
130.56
131.16
131.72
133.00
133.73
0.7433
178.09
178.83
179.55
179.76
179.92
133.28
134.35
134.84
135.82
136.21
0.8214
178.41
179.22
179.65
180.68
180.97
136.90
138.35
138.29
140.06
140.40
0.9066
179.30
179.74
180.11
180.68
180.78
142.95
144.51
143.68
145.31
144.91
1.0000
178.82
179.65
180.11
180.59
180.69
151.91
154.62
152.19
154.99
153.27
Thermodynamic Parameters
The VmE of the PEG 200 (1) + DMAPA (2) mixture is negative, which proves
that
there is an interaction between PEG 200 and DMAPA. This intermolecular
interaction can also be explained by the thermodynamics of viscous
fluids. To obtain the kinematic viscosity of the PEG 200 (1) + DMAPA (2) system, the thermodynamic parameters of
the viscous fluid of the PEG 200 (1) + DMAPA (2) system were calculated, including the activation enthalpy ΔH*, activation entropy ΔS*, and activation
Gibbs free energy ΔG* using eqs and 14(29)where v, h, NA, M, and R, respectively,
represent the kinematic viscosity, Planck constant, Avogadro constant,
average molar mass, and molar gas constant of the binary system. From 13 and 14, the following formula
can be obtained:R ln(νM/hNA) on the left side of eq was found to be in a
linear relationship with 1/T on the right side, when
a plot was constructed by taking 1/T as the abscissa
and R ln(νM/hNA) as the ordinate. The fitting results are shown in Figure . The slope is the
ΔH* value and the intercept is the −ΔS* value, and the results are shown in Table . The activation Gibbs free energy ΔG* can also be calculated using eq , and the results obtained are shown in Table and plotted in Figure .
Figure 8
Plots of R ln(νM/hNA) against
1/T for PEG 200 (1) + DMAPA (2) at different temperatures, and the molar fractions corresponding
to lines are as follows: (A: x1 = 0.0000 ∼ U: x1 = 1.0000).
Figure 9
Gibbs free energies of
activation (ΔG*)
with the mole fraction for the viscous flow of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15,
and 318.15) K and atmospheric pressure. The symbols represent experimental
values, and the solid curves represent the values calculated from eq .
Plots of R ln(νM/hNA) against
1/T for PEG 200 (1) + DMAPA (2) at different temperatures, and the molar fractions corresponding
to lines are as follows: (A: x1 = 0.0000 ∼ U: x1 = 1.0000).Gibbs free energies of
activation (ΔG*)
with the mole fraction for the viscous flow of PEG 200 (1) + DMAPA (2) at T = (298.15, 303.15, 308.15, 313.15,
and 318.15) K and atmospheric pressure. The symbols represent experimental
values, and the solid curves represent the values calculated from eq .It was found from Table that the value of ΔG* over the range
of components is positive at measured temperatures and ΔH* increases from 1.51 to 27.63 kJ·mol–1·K–1. The results indicate that the viscous
flow in pure DMAPA is easier than that in pure PEG 200 or the binary
solution. At the same time, ΔS* increases from
−215.52 to −163.61 J·mol–1·K–1 with the increase of the mole fraction of PEG 200.
The negative ΔS* indicates that the self-association
binding force of PEG 200 and DMAPA is stronger than that of DMAPA
alone.
Spectral Properties
UV–Vis
Spectra
The preceding
results may be related to the hydrogen bond and interaction between
PEG 200 and DMAPA. The UV–vis spectra of the PEG 200 (1) + DMAPA (2) mixture were measured and are
shown in Figure . PEG 200 was used as a reference solvent. The absorption peak of
DMAPA was found at about 234 nm, which is attributed to N electrons
undergoing the n → σ* electron transition.
The peak red-shifted from 234 to 237 nm with the increase of the DMAPA
concentration. This phenomenon is mainly due to the self-association
hydrogen bond between PEG 200 molecules was broken, and the new hydrogen
bond was formed between PEG 200 and DMAPA through the formation of
(CH3)2N···HOCH2CH–O–
and H2N···HOCH2CH–O-.
Particularly, the ability of DMAPA molecules to form a hydrogen bond
with PEG 200 molecules was reinforced with the increase of the DMAPA
concentration, which will make the nitrogen atom in DMAPA molecules
interact more easily with hydroxyl on PEG 200, leading to the red
shift of the absorption peak.
Figure 10
UV–vis spectral changes with increasing
DMAPA concentration
in the binary system of PEG 200 (1) + DMAPA (2).
UV–vis spectral changes with increasing
DMAPA concentration
in the binary system of PEG 200 (1) + DMAPA (2).
FTIR
Spectra
To further study the
interaction between DMAPA and PEG 200, the FTIR spectra of PEG 200,
DMAPA, and the binary system of PEG 200 (1) + DMAPA (2) at various concentrations were obtained. In the FTIR spectra
shown in Figure , the stretching vibration peak of the O–H bond in PEG 200
molecules appears at 3422 cm–1.[30] Interestingly, the absorption peak moves to a low wavenumber
of 3356 cm–1 with an increase of the DMAPA concentration;
meanwhile, the bending vibration band of the hydroxyl group in PEG
200 moved from 1104 cm–1 to a lower frequency of
1100 cm–1 with the increase of the DMAPA concentration.
These results suggest that the intermolecular hydrogen bonds in PEG
200 are broken gradually, and new hydrogen bonds are formed. The absorption
band of hydroxyl groups in PEG 200 moves to a lower frequency, which
is due to the vibrational properties of hydroxyl groups in PEG 200,
further indicating the hydrogen bonding and interaction of the hydroxylhydrogen atoms in PEG 200 with nitrogen atoms in DMAPA.
The 1H NMR spectra of PEG
200, DMAPA, and the binary system of
PEG 200 (1) + DMAPA (2) with various concentrations
were also compared. Figure shows that the chemical displacement of methyl hydrogen in
DMAPA is 2.158 ppm. With the increase of the PEG 200 concentration,
the chemical displacement gradually moves to a low field of 2.000
ppm; meanwhile, the chemical shifts of other methylene groups in DMAPA
also move to the lower field. The fact is that the electron cloud
density of protons on DMAPA becomes thinner due to hydrogen bonding
interactions between DMAPA and PEG 200. The most reasonable form of
hydrogen bonding was proposed as the formation of (CH3)2N···HOCH2CH–O– and
H2N···HOCH2CH–O–.
The results are in well accordance with the FTIR and UV–vis
results.
Based on
the above experimental results, the PEG 200 plus DMAPA mixture was
used to measure CO2 absorption. Figure a shows the relationship between CO2 uptake and time at room temperature and atmospheric pressure.
The absorption equilibrium of PEG 200 + DMAPA (1:1 mole ratio), PEG
200 + DMAPA (1:2), and PEG 200 + DMAPA (2:1) was all achieved within
45 min. In contrast, the absorption capacity of CO2 of
PEG 200 + DMAPA (1:2) is quite large, reaching 0.19 g CO2 per gram solvent. Interestingly, when the molar ratio of PEG 200
and DMAPA is 1:2, the intermolecular bonding is the most strongest
based on the results obtained for VmE of the mixture. This intermolecular hydrogen bonding can
reduce the volatility of amines, which will be further discussed later.
Considering the importance of CO2 removal efficiency in
practical industrial processes, we investigated low-concentration
CO2 removal under environmental conditions. As shown in Figure b, it was found
that CO2 was completely removed in the first 40 min using
PEG 200 + DMAPA (1:2) as the absorbent, then the removal efficiency
was reduced, and the final absorption reaches saturation in about
60 min.
Figure 13
(a) Comparison of CO2 absorption processes by the amide-based
binary system of PEG 200 (1) + DMAPA (2)
as a function of time at 25 °C and 1.0 bar; (b) CO2 (10 wt %) + N2 removal efficiency as a function of time
at 25 °C and 1.0 bar in PEG 200 plus DMAPA (1:2 mole ratio).
(a) Comparison of CO2 absorption processes by the amide-based
binary system of PEG 200 (1) + DMAPA (2)
as a function of time at 25 °C and 1.0 bar; (b) CO2 (10 wt %) + N2 removal efficiency as a function of time
at 25 °C and 1.0 bar in PEG 200 plus DMAPA (1:2 mole ratio).
Conclusions
In summary,
the density and viscosity of the PEG 200 (1) + DMAPA
(2) binary solution in the whole concentration
range of T = (298.15, 303.15, 308.15, 313.15, and
318.15) K at atmospheric pressure were reported. The density and viscosity
data have been used to compute the parameter of excess properties
and viscous flow thermodynamics. The VmE values were negative, Δη is not always negative,
it also shows a positive maximum and a negative minimum at around x1 ≈ 0.6067 and x1 ≈ 0.1158; meanwhile, the ΔH*, ΔS*, and ΔG* values
were calculated. Based on the results of VmE, it was found that a stronger intermolecular bonding
is formed. A mixture of PEG 200 and DMAPA in a ratio of 1:2 was used
for investigating CO2 absorption at a pressure of 1 bar,
and a CO2 absorption of about 0.19 g per gram of the absorbent
at room temperature was achieved. In addition, the UV–vis,
FTIR, and 1H NMR results indicate that there are hydrogen
bonding and interactions of hydroxylhydrogen atoms in PEG 200 with
nitrogen atoms in DMAPA leading to the formation of (CH3)2N···HOCH2CH–O– and H2N···HOCH2CH–O–. These results are helpful to understand and
optimize the CO2 absorption capacity of the binary solution.
Experimental Section
Materials
Analytical
grade DMAPA
(≥99.0%) and PEG 200 (≥99.0%) were purchased from Shanghai
Titan Technology Co., Ltd., China. They were dried over 4 Å molecular
sieves and degassed by ultrasonication just before the experiment.
The water contents of PEG 200 and DMAPA were determined by the Carl
Fischer method to be 0.21 and 0.07 wt %, respectively. Moreover, double-distilled
water and HPLC grade ethanol were used to calibrate the pycnometer
and the Ubbelohde viscometer, respectively. All specifications of
chemical samples are shown in Table S1.
Instrumentation
All measurements
of mass were performed on an electronic balance with an accuracy of
±0.1 mg (Sartorius BS224S). The uncertainty of mole fraction
was estimated to be ±0.0001. The UV–vis spectra were recorded
on a Shimadzu UV-3600 plus spectrometer. FTIR spectra were recorded
on a Nicolet 50 FTIR spectrometer. 1H NMR spectra were
recorded on a JNM-ECZ-400 spectrometer. All spectral experiments of
PEG 200 (1) + DMAPA (2) were performed at
room temperature and atmospheric pressure.
Measurements
The density of the sample
was measured by the pycnometer method. Briefly, the pycnometer containing
the binary solvent solution was placed in a constant temperature water
bath at a desired temperature for 30 min, and then weighed at least
three times to obtain the average value. The uncertainty of density
measurement was estimated to be ±0.02%. The viscosity of the
sample was measured using an Ubbelohde viscometer. First, the Ubbelohde
viscometer was calibrated with double-distilled water and HPLC grade
ethanol, and the viscometer constant was calculated. A stopwatch was
used to measure the time when the liquid flows through the capillary
of the viscometer and this was repeated at least six times for each
sample to obtain the average value. The uncertainty of the viscosity
value was ±3%. In order to determine the reliability of the experiment,
the experimentally measured values of density and absolute viscosity
of DMAPA and PEG 200 are compared with those reported in the literature,[30−35] as shown in Table S2. The agreement between
the experimental and literature values was found to be satisfactory.
Absorption of CO2
The
bubble weight method was used in the experiment of CO2 absorption.
In short, CO2 absorption was carried out at room temperature
at a pressure of 1 bar. As shown in Figure S1, a known amount of absorbent was placed in a glass tube (inner diameter:
10 mm; length: 200 mm). The gas containing CO2 is bubbled
into the absorption solution through a long stainless-steel needle.
During gas absorption, the gas solubility was determined by weighing
the tube on an electronic analytical balance (Sartorius BS224S). To
ensure balance is achieved, the weighing procedure was repeated until
the mass remains constant between successive measurements. For diluted
CO2 absorption, in a typical procedure, about 2.0 g of
absorbent was added to a U-shaped absorption tube with an inner diameter
of 8 mm, and then the absorption tube was placed in a 25 °C water
bath. The CO2 gas (10 wt %) was controlled by a mass flow
meter to control the flow rate to 30 mL·min–1. CO2 was absorbed by the absorbent when it passed through
the U-shaped tube. Then, the concentration of the CO2 tail
gas was detected using the flue gas analyzer (LY800-CO2, Shenzhen Liye Industrial Co., LTD. China) and the change in CO2 concentration was recorded online using a computer.
Authors: David J Heldebrant; Phillip K Koech; Vassiliki-Alexandra Glezakou; Roger Rousseau; Deepika Malhotra; David C Cantu Journal: Chem Rev Date: 2017-06-19 Impact factor: 60.622