CIESC Journal ›› 2020, Vol. 71 ›› Issue (1): 177-191.DOI: 10.11949/0438-1157.20191361
• Thermodynamics • Previous Articles Next Articles
Xinxin WANG1(),Qing ZHOU1,2,Xiaochun ZHANG1,Zhibo ZHANG1,Xingmei LYU1,2,Suojiang ZHANG1,2()
Received:
2019-11-11
Revised:
2019-11-21
Online:
2020-01-05
Published:
2020-01-05
Contact:
Suojiang ZHANG
王薪薪1(),周清1,2,张晓春1,张志博1,吕兴梅1,2,张锁江1,2()
通讯作者:
张锁江
作者简介:
王薪薪(1987—),女,硕士,基金资助:
CLC Number:
Xinxin WANG, Qing ZHOU, Xiaochun ZHANG, Zhibo ZHANG, Xingmei LYU, Suojiang ZHANG. Densities and viscosities of binary system containing 1,3-dimethylimidazolium dimethylphosphate and dimethyl sulfoxide or acetonitrile[J]. CIESC Journal, 2020, 71(1): 177-191.
王薪薪, 周清, 张晓春, 张志博, 吕兴梅, 张锁江. 离子液体[Mmim][DMP]与DMSO/乙腈二元体系的密度和黏度[J]. 化工学报, 2020, 71(1): 177-191.
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Compound | T/K | ρ/(g·cm-3) | η/(mPa·s) | ||
---|---|---|---|---|---|
Exp. | Lit. | Exp. | Lit. | ||
[Mmim][DMP] | 298.15 | 1.261314 | 1.2587[ 1.2612[ | 290.7599 | 271.86[ |
303.15 | 1.257795 | 1.2559[ 1.2441[ | 210.0863 | 188.30[ | |
308.15 | 1.254402 | 1.2530[ | 155.5793 | 139.49[ | |
313.15 | 1.250993 | 1.2491[ 1.2505[ 1.2368[ | 119.1838 | 110.25[ | |
318.15 | 1.247590 | 1.2452[ | 92.7692 | 84.44[ | |
323.15 | 1.244193 | 1.2415[ 1.2274[ | 74.2418 | 69.99[ | |
DMSO | 293.15 | 1.100318 | 1.10076[ | 1.9937 | 2.210[ |
298.15 | 1.095326 | 1.0958[ | 1.8027 | 1.964[ | |
1.09574[ | |||||
303.15 | 1.090312 | 1.09073[ | 1.6362 | 1.787[ | |
1.0900[ | |||||
308.15 | 1.085265 | 1.0839[ | 1.4961 | 1.566[ | |
313.15 | 1.080264 | 1.08069[ | 1.3746 | 1.490[ | |
1.0783[ | |||||
318.15 | 1.075234 | 1.0731[ | 1.2682 | 1.3173[ | |
323.15 | 1.070217 | 1.07066[ | 1.1756 | 1.285[ | |
1.0693[ | |||||
乙腈 | 293.15 | 0.782374 | 0.7820[ | 0.3548 | 0.3645[ |
298.15 | 0.776984 | 0.7760[ | 0.3440 | 0.344[ | |
303.15 | 0.771554 | 0.7712[ | 0.3323 | 0.3307[ | |
308.15 | 0.766094 | 0.7663[ | 0.3220 | 0.313[ | |
313.15 | 0.760602 | 0.7603[ | 0.3124 | 0.3005[ | |
318.15 | 0.755076 | 0.7550[ | 0.3037 | 0.289[ | |
323.15 | 0.749510 | 0.7492[ | 0.2956 | 0.2746[ |
Table 1 Comparison of measured with literature values of densities and viscosities of pure compounds
Compound | T/K | ρ/(g·cm-3) | η/(mPa·s) | ||
---|---|---|---|---|---|
Exp. | Lit. | Exp. | Lit. | ||
[Mmim][DMP] | 298.15 | 1.261314 | 1.2587[ 1.2612[ | 290.7599 | 271.86[ |
303.15 | 1.257795 | 1.2559[ 1.2441[ | 210.0863 | 188.30[ | |
308.15 | 1.254402 | 1.2530[ | 155.5793 | 139.49[ | |
313.15 | 1.250993 | 1.2491[ 1.2505[ 1.2368[ | 119.1838 | 110.25[ | |
318.15 | 1.247590 | 1.2452[ | 92.7692 | 84.44[ | |
323.15 | 1.244193 | 1.2415[ 1.2274[ | 74.2418 | 69.99[ | |
DMSO | 293.15 | 1.100318 | 1.10076[ | 1.9937 | 2.210[ |
298.15 | 1.095326 | 1.0958[ | 1.8027 | 1.964[ | |
1.09574[ | |||||
303.15 | 1.090312 | 1.09073[ | 1.6362 | 1.787[ | |
1.0900[ | |||||
308.15 | 1.085265 | 1.0839[ | 1.4961 | 1.566[ | |
313.15 | 1.080264 | 1.08069[ | 1.3746 | 1.490[ | |
1.0783[ | |||||
318.15 | 1.075234 | 1.0731[ | 1.2682 | 1.3173[ | |
323.15 | 1.070217 | 1.07066[ | 1.1756 | 1.285[ | |
1.0693[ | |||||
乙腈 | 293.15 | 0.782374 | 0.7820[ | 0.3548 | 0.3645[ |
298.15 | 0.776984 | 0.7760[ | 0.3440 | 0.344[ | |
303.15 | 0.771554 | 0.7712[ | 0.3323 | 0.3307[ | |
308.15 | 0.766094 | 0.7663[ | 0.3220 | 0.313[ | |
313.15 | 0.760602 | 0.7603[ | 0.3124 | 0.3005[ | |
318.15 | 0.755076 | 0.7550[ | 0.3037 | 0.289[ | |
323.15 | 0.749510 | 0.7492[ | 0.2956 | 0.2746[ |
x 1 | A/(g·cm-3) | B×10-4/(g·cm-3·K-1) | R 2 |
---|---|---|---|
[Mmim][DMP] (1) + DMSO (2) | |||
0 | 1.394 | -10.000 | 1 |
0.1002 | 1.412 | -9.248 | 1 |
0.1997 | 1.426 | -8.732 | 1 |
0.2998 | 1.436 | -8.333 | 0.99999 |
0.4000 | 1.447 | -8.124 | 0.99988 |
0.5008 | 1.450 | -7.746 | 0.99999 |
0.6023 | 1.456 | -7.553 | 0.99995 |
0.7014 | 1.458 | -7.324 | 0.99999 |
0.7996 | 1.460 | -7.127 | 1 |
0.8964 | 1.463 | -6.984 | 0.99997 |
1.0000 | 1.466 | -6.879 | 0.9999 |
[Mmim][DMP] (1) + 乙腈 (2) | |||
0 | 1.103 | -11.000 | 0.99997 |
0.0901 | 1.203 | -9.771 | 0.99998 |
0.2010 | 1.285 | -8.998 | 0.99976 |
0.3001 | 1.329 | -8.316 | 1 |
0.4013 | 1.365 | -7.940 | 0.99998 |
0.5005 | 1.396 | -7.792 | 0.99994 |
0.5984 | 1.414 | -7.487 | 0.99999 |
0.6978 | 1.430 | -7.270 | 1 |
0.8007 | 1.444 | -7.097 | 0.99999 |
0.8995 | 1.462 | -7.184 | 0.99993 |
1.0000 | 1.466 | -6.879 | 0.9999 |
Table 2 Fitted values of empirical parameters A and B for densities of binary mixtures based on Eq. (1)
x 1 | A/(g·cm-3) | B×10-4/(g·cm-3·K-1) | R 2 |
---|---|---|---|
[Mmim][DMP] (1) + DMSO (2) | |||
0 | 1.394 | -10.000 | 1 |
0.1002 | 1.412 | -9.248 | 1 |
0.1997 | 1.426 | -8.732 | 1 |
0.2998 | 1.436 | -8.333 | 0.99999 |
0.4000 | 1.447 | -8.124 | 0.99988 |
0.5008 | 1.450 | -7.746 | 0.99999 |
0.6023 | 1.456 | -7.553 | 0.99995 |
0.7014 | 1.458 | -7.324 | 0.99999 |
0.7996 | 1.460 | -7.127 | 1 |
0.8964 | 1.463 | -6.984 | 0.99997 |
1.0000 | 1.466 | -6.879 | 0.9999 |
[Mmim][DMP] (1) + 乙腈 (2) | |||
0 | 1.103 | -11.000 | 0.99997 |
0.0901 | 1.203 | -9.771 | 0.99998 |
0.2010 | 1.285 | -8.998 | 0.99976 |
0.3001 | 1.329 | -8.316 | 1 |
0.4013 | 1.365 | -7.940 | 0.99998 |
0.5005 | 1.396 | -7.792 | 0.99994 |
0.5984 | 1.414 | -7.487 | 0.99999 |
0.6978 | 1.430 | -7.270 | 1 |
0.8007 | 1.444 | -7.097 | 0.99999 |
0.8995 | 1.462 | -7.184 | 0.99993 |
1.0000 | 1.466 | -6.879 | 0.9999 |
Fig.2 Densities for [Mmim][DMP] binary systems as a function of temperature at different mole fractions of IL ■ x 1 = 0; □ x 1 = 0.1002; ▲ x 1 = 0.1997; △ x 1 = 0.2998; ▼ x 1 = 0.4000; ▽ x 1 = 0.5008; ◆ x 1 = 0.6023; ◇ x 1 = 0.7014; ● x 1 = 0.7996; ○ x 1 = 0.8964; × x 1 = 1.0000
Fig.3 Densities for [Mmim][DMP] binary system as a function of mole fractions of IL at different temperatures ■ 293.15 K; □ 298.15 K; ▲ 303.15 K; △ 308.15 K; ▼ 313.15 K; ▽ 318.15 K; ◆ 323.15 K
T/K | | | | |
---|---|---|---|---|
[Mmim][DMP] (1) + DMSO (2) | ||||
293.15 | 170.85 | 39.10 | -76.28 | 0.11 |
298.15 | 171.22 | 40.07 | -78.19 | 0.12 |
303.15 | 171.59 | 41.16 | -80.62 | 0.12 |
308.15 | 171.93 | 42.51 | -83.45 | 0.13 |
313.15 | 172.28 | 43.62 | -85.68 | 0.13 |
318.15 | 172.62 | 44.97 | -88.46 | 0.14 |
323.15 | 172.95 | 46.30 | -91.13 | 0.14 |
[Mmim][DMP] (1) + 乙腈 (2) | ||||
293.15 | 162.96 | 85.85 | -122.79 | 0.54 |
298.15 | 162.83 | 89.72 | -128.38 | 0.55 |
303.15 | 162.70 | 93.54 | -133.90 | 0.57 |
308.15 | 162.54 | 97.57 | -139.64 | 0.58 |
313.15 | 163.21 | 75.33 | -107.73 | 0.70 |
318.15 | 163.11 | 78.95 | -112.86 | 0.71 |
323.15 | 163.05 | 82.34 | -117.73 | 0.73 |
Table 3 Apparent molar volume at infinite dilution ( V ? ∞ ) of [Mmim][DMP] at temperatures from 293.15 to 323.15 K
T/K | | | | |
---|---|---|---|---|
[Mmim][DMP] (1) + DMSO (2) | ||||
293.15 | 170.85 | 39.10 | -76.28 | 0.11 |
298.15 | 171.22 | 40.07 | -78.19 | 0.12 |
303.15 | 171.59 | 41.16 | -80.62 | 0.12 |
308.15 | 171.93 | 42.51 | -83.45 | 0.13 |
313.15 | 172.28 | 43.62 | -85.68 | 0.13 |
318.15 | 172.62 | 44.97 | -88.46 | 0.14 |
323.15 | 172.95 | 46.30 | -91.13 | 0.14 |
[Mmim][DMP] (1) + 乙腈 (2) | ||||
293.15 | 162.96 | 85.85 | -122.79 | 0.54 |
298.15 | 162.83 | 89.72 | -128.38 | 0.55 |
303.15 | 162.70 | 93.54 | -133.90 | 0.57 |
308.15 | 162.54 | 97.57 | -139.64 | 0.58 |
313.15 | 163.21 | 75.33 | -107.73 | 0.70 |
318.15 | 163.11 | 78.95 | -112.86 | 0.71 |
323.15 | 163.05 | 82.34 | -117.73 | 0.73 |
x 1 | | | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
293.15 K | 298.15 K | 303.15 K | 308.15 K | 313.15 K | 318.15 K | 323.15 K | 293.15 K | 298.15 K | 303.15 K | 308.15 K | 313.15 K | 318.15 K | 323.15 K | |
[Mmim][DMP] (1) + DMSO (2) | ||||||||||||||
0 | 201.93 | 202.85 | 203.78 | 204.73 | 205.68 | 206.64 | 207.61 | 70.63 | 70.94 | 71.26 | 71.58 | 71.90 | 72.23 | 72.55 |
0.1002 | 195.17 | 195.49 | 196.29 | 197.09 | 197.90 | 198.72 | 199.55 | 68.31 | 68.58 | 68.86 | 69.14 | 69.42 | 69.71 | 69.99 |
0.1997 | 190.64 | 190.62 | 191.34 | 192.07 | 192.79 | 193.52 | 194.26 | 66.72 | 66.97 | 67.23 | 67.48 | 67.74 | 67.99 | 68.25 |
0.2998 | 187.30 | 187.08 | 187.74 | 188.40 | 189.07 | 189.74 | 190.41 | 65.58 | 65.81 | 66.07 | 66.30 | 66.54 | 66.78 | 67.02 |
0.4000 | 184.77 | 184.42 | 185.05 | 185.70 | 186.32 | 186.95 | 187.58 | 64.66 | 64.88 | 65.08 | 65.30 | 65.52 | 65.74 | 65.96 |
0.5008 | 182.71 | 182.26 | 182.85 | 183.42 | 184.01 | 184.60 | 185.20 | 63.97 | 64.18 | 64.39 | 64.60 | 64.81 | 65.02 | 65.23 |
0.6023 | 181.05 | 180.55 | 181.12 | 181.67 | 182.23 | 182.79 | 183.36 | 63.41 | 63.59 | 63.79 | 63.99 | 64.19 | 64.39 | 64.59 |
0.7014 | 179.69 | 179.19 | 179.72 | 180.24 | 180.78 | 181.32 | 181.86 | 62.96 | 63.14 | 63.32 | 63.51 | 63.71 | 63.90 | 64.09 |
0.7996 | 178.55 | 178.07 | 178.57 | 179.07 | 179.59 | 180.11 | 180.63 | 62.58 | 62.77 | 62.95 | 63.13 | 63.31 | 63.50 | 63.68 |
0.8964 | 177.57 | 177.12 | 177.62 | 178.10 | 178.60 | 179.10 | 179.60 | 62.17 | 62.36 | 62.55 | 62.72 | 62.90 | 63.08 | 63.26 |
1.0000 | 176.65 | 176.15 | 176.64 | 177.12 | 177.60 | 178.09 | 178.57 | 61.77 | 61.94 | 62.12 | 62.28 | 62.45 | 62.62 | 62.80 |
[Mmim][DMP] (1) + 乙腈 (2) | ||||||||||||||
0 | 283.98 | 285.95 | 287.96 | 290.02 | 292.11 | 294.25 | 296.43 | 51.50 | 51.81 | 52.14 | 52.48 | 52.82 | 53.16 | 53.51 |
0.0901 | 243.49 | 243.74 | 245.05 | 246.39 | 247.74 | 249.10 | 250.48 | 44.40 | 44.62 | 44.85 | 45.07 | 45.30 | 45.56 | 45.81 |
0.2010 | 219.19 | 218.63 | 219.59 | 220.55 | 221.53 | 222.55 | 223.61 | 40.07 | 40.24 | 40.41 | 40.59 | 40.76 | 40.93 | 41.10 |
0.3001 | 206.58 | 205.63 | 206.43 | 207.23 | 208.04 | 208.85 | 209.67 | 37.88 | 38.02 | 38.18 | 38.33 | 38.48 | 38.64 | 38.79 |
0.4013 | 198.07 | 196.96 | 197.66 | 198.36 | 199.07 | 199.78 | 200.50 | 36.38 | 36.52 | 36.65 | 36.79 | 36.94 | 37.10 | 37.25 |
0.5005 | 192.11 | 190.97 | 191.60 | 192.23 | 192.88 | 193.55 | 194.22 | 35.35 | 35.48 | 35.61 | 35.74 | 35.86 | 35.98 | 36.11 |
0.5984 | 187.65 | 186.56 | 187.16 | 187.74 | 188.34 | 188.93 | 189.54 | 34.65 | 34.76 | 34.88 | 35.00 | 35.12 | 35.24 | 35.36 |
0.6978 | 184.11 | 183.17 | 183.72 | 184.26 | 184.82 | 185.38 | 185.95 | 34.06 | 34.17 | 34.28 | 34.39 | 34.50 | 34.62 | 34.74 |
0.8007 | 181.12 | 180.37 | 180.88 | 181.40 | 181.92 | 182.45 | 182.99 | 33.48 | 33.63 | 33.74 | 33.86 | 33.98 | 34.11 | 34.24 |
0.8995 | 178.72 | 178.11 | 178.64 | 179.14 | 179.65 | 180.17 | 180.70 | 33.05 | 33.14 | 33.25 | 33.34 | 33.44 | 33.53 | 33.62 |
1.0000 | 176.65 | 176.15 | 176.64 | 177.12 | 177.60 | 178.09 | 178.57 | 32.45 | 32.55 | 32.64 | 32.72 | 32.81 | 32.90 | 32.99 |
Table 4 Partial molar volumes( V ? ) of mixtures of [Mmim][DMP] with DMSO and acetonitrile at temperatures from 293.15 to 323.15 K
x 1 | | | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
293.15 K | 298.15 K | 303.15 K | 308.15 K | 313.15 K | 318.15 K | 323.15 K | 293.15 K | 298.15 K | 303.15 K | 308.15 K | 313.15 K | 318.15 K | 323.15 K | |
[Mmim][DMP] (1) + DMSO (2) | ||||||||||||||
0 | 201.93 | 202.85 | 203.78 | 204.73 | 205.68 | 206.64 | 207.61 | 70.63 | 70.94 | 71.26 | 71.58 | 71.90 | 72.23 | 72.55 |
0.1002 | 195.17 | 195.49 | 196.29 | 197.09 | 197.90 | 198.72 | 199.55 | 68.31 | 68.58 | 68.86 | 69.14 | 69.42 | 69.71 | 69.99 |
0.1997 | 190.64 | 190.62 | 191.34 | 192.07 | 192.79 | 193.52 | 194.26 | 66.72 | 66.97 | 67.23 | 67.48 | 67.74 | 67.99 | 68.25 |
0.2998 | 187.30 | 187.08 | 187.74 | 188.40 | 189.07 | 189.74 | 190.41 | 65.58 | 65.81 | 66.07 | 66.30 | 66.54 | 66.78 | 67.02 |
0.4000 | 184.77 | 184.42 | 185.05 | 185.70 | 186.32 | 186.95 | 187.58 | 64.66 | 64.88 | 65.08 | 65.30 | 65.52 | 65.74 | 65.96 |
0.5008 | 182.71 | 182.26 | 182.85 | 183.42 | 184.01 | 184.60 | 185.20 | 63.97 | 64.18 | 64.39 | 64.60 | 64.81 | 65.02 | 65.23 |
0.6023 | 181.05 | 180.55 | 181.12 | 181.67 | 182.23 | 182.79 | 183.36 | 63.41 | 63.59 | 63.79 | 63.99 | 64.19 | 64.39 | 64.59 |
0.7014 | 179.69 | 179.19 | 179.72 | 180.24 | 180.78 | 181.32 | 181.86 | 62.96 | 63.14 | 63.32 | 63.51 | 63.71 | 63.90 | 64.09 |
0.7996 | 178.55 | 178.07 | 178.57 | 179.07 | 179.59 | 180.11 | 180.63 | 62.58 | 62.77 | 62.95 | 63.13 | 63.31 | 63.50 | 63.68 |
0.8964 | 177.57 | 177.12 | 177.62 | 178.10 | 178.60 | 179.10 | 179.60 | 62.17 | 62.36 | 62.55 | 62.72 | 62.90 | 63.08 | 63.26 |
1.0000 | 176.65 | 176.15 | 176.64 | 177.12 | 177.60 | 178.09 | 178.57 | 61.77 | 61.94 | 62.12 | 62.28 | 62.45 | 62.62 | 62.80 |
[Mmim][DMP] (1) + 乙腈 (2) | ||||||||||||||
0 | 283.98 | 285.95 | 287.96 | 290.02 | 292.11 | 294.25 | 296.43 | 51.50 | 51.81 | 52.14 | 52.48 | 52.82 | 53.16 | 53.51 |
0.0901 | 243.49 | 243.74 | 245.05 | 246.39 | 247.74 | 249.10 | 250.48 | 44.40 | 44.62 | 44.85 | 45.07 | 45.30 | 45.56 | 45.81 |
0.2010 | 219.19 | 218.63 | 219.59 | 220.55 | 221.53 | 222.55 | 223.61 | 40.07 | 40.24 | 40.41 | 40.59 | 40.76 | 40.93 | 41.10 |
0.3001 | 206.58 | 205.63 | 206.43 | 207.23 | 208.04 | 208.85 | 209.67 | 37.88 | 38.02 | 38.18 | 38.33 | 38.48 | 38.64 | 38.79 |
0.4013 | 198.07 | 196.96 | 197.66 | 198.36 | 199.07 | 199.78 | 200.50 | 36.38 | 36.52 | 36.65 | 36.79 | 36.94 | 37.10 | 37.25 |
0.5005 | 192.11 | 190.97 | 191.60 | 192.23 | 192.88 | 193.55 | 194.22 | 35.35 | 35.48 | 35.61 | 35.74 | 35.86 | 35.98 | 36.11 |
0.5984 | 187.65 | 186.56 | 187.16 | 187.74 | 188.34 | 188.93 | 189.54 | 34.65 | 34.76 | 34.88 | 35.00 | 35.12 | 35.24 | 35.36 |
0.6978 | 184.11 | 183.17 | 183.72 | 184.26 | 184.82 | 185.38 | 185.95 | 34.06 | 34.17 | 34.28 | 34.39 | 34.50 | 34.62 | 34.74 |
0.8007 | 181.12 | 180.37 | 180.88 | 181.40 | 181.92 | 182.45 | 182.99 | 33.48 | 33.63 | 33.74 | 33.86 | 33.98 | 34.11 | 34.24 |
0.8995 | 178.72 | 178.11 | 178.64 | 179.14 | 179.65 | 180.17 | 180.70 | 33.05 | 33.14 | 33.25 | 33.34 | 33.44 | 33.53 | 33.62 |
1.0000 | 176.65 | 176.15 | 176.64 | 177.12 | 177.60 | 178.09 | 178.57 | 32.45 | 32.55 | 32.64 | 32.72 | 32.81 | 32.90 | 32.99 |
x 1 | A/(mPa·s) | B/K | T 0/K | R 2 |
---|---|---|---|---|
[Mmim][DMP] (1) + DMSO (2) | ||||
0 | 0.074 | 518.8 | 135.9 | 0.99999 |
0.1002 | 0.102 | 521.2 | 154.7 | 1.00000 |
0.1997 | 0.132 | 589.7 | 157.4 | 0.99992 |
0.2998 | 0.246 | 477.2 | 183.1 | 0.99999 |
0.4000 | 0.024 | 1264.1 | 115.9 | 0.99970 |
0.5008 | 0.324 | 514.3 | 192.9 | 1.00000 |
0.6023 | 0.336 | 536.0 | 196.6 | 1.00000 |
0.7014 | 0.294 | 594.8 | 195.7 | 1.00000 |
0.7996 | 0.418 | 579.2 | 200.0 | 0.99994 |
0.8964 | 0.031 | 1295.5 | 150.8 | 0.99971 |
1.0000 | 0.287 | 701.9 | 196.7 | 0.99999 |
[Mmim][DMP] (1) + 乙腈 (2) | ||||
0 | 0.069 | 386.2 | 56.85 | 0.99963 |
0.0901 | 0.080 | 419.7 | 123.3 | 0.99999 |
0.2010 | 0.043 | 889.3 | 79.73 | 0.99992 |
0.3001 | 0.032 | 1055.9 | 94.83 | 0.99484 |
0.4013 | 0.223 | 515.1 | 172.1 | 0.99999 |
0.5005 | 0.032 | 1229.1 | 111.9 | 0.99860 |
0.5984 | 0.192 | 633.3 | 180.1 | 0.99998 |
0.6978 | 0.341 | 547.0 | 195.7 | 1.00000 |
0.8007 | 0.064 | 1134.4 | 144.4 | 0.99878 |
0.8995 | 0.038 | 1240.9 | 152.1 | 0.99971 |
1.0000 | 0.287 | 701.9 | 196.7 | 0.99999 |
Table 5 Fitted values of empirical parameters, A, B and T 0 for viscosity based on VFT equation
x 1 | A/(mPa·s) | B/K | T 0/K | R 2 |
---|---|---|---|---|
[Mmim][DMP] (1) + DMSO (2) | ||||
0 | 0.074 | 518.8 | 135.9 | 0.99999 |
0.1002 | 0.102 | 521.2 | 154.7 | 1.00000 |
0.1997 | 0.132 | 589.7 | 157.4 | 0.99992 |
0.2998 | 0.246 | 477.2 | 183.1 | 0.99999 |
0.4000 | 0.024 | 1264.1 | 115.9 | 0.99970 |
0.5008 | 0.324 | 514.3 | 192.9 | 1.00000 |
0.6023 | 0.336 | 536.0 | 196.6 | 1.00000 |
0.7014 | 0.294 | 594.8 | 195.7 | 1.00000 |
0.7996 | 0.418 | 579.2 | 200.0 | 0.99994 |
0.8964 | 0.031 | 1295.5 | 150.8 | 0.99971 |
1.0000 | 0.287 | 701.9 | 196.7 | 0.99999 |
[Mmim][DMP] (1) + 乙腈 (2) | ||||
0 | 0.069 | 386.2 | 56.85 | 0.99963 |
0.0901 | 0.080 | 419.7 | 123.3 | 0.99999 |
0.2010 | 0.043 | 889.3 | 79.73 | 0.99992 |
0.3001 | 0.032 | 1055.9 | 94.83 | 0.99484 |
0.4013 | 0.223 | 515.1 | 172.1 | 0.99999 |
0.5005 | 0.032 | 1229.1 | 111.9 | 0.99860 |
0.5984 | 0.192 | 633.3 | 180.1 | 0.99998 |
0.6978 | 0.341 | 547.0 | 195.7 | 1.00000 |
0.8007 | 0.064 | 1134.4 | 144.4 | 0.99878 |
0.8995 | 0.038 | 1240.9 | 152.1 | 0.99971 |
1.0000 | 0.287 | 701.9 | 196.7 | 0.99999 |
Fig.5 Viscosity for [Mmim][DMP] binary system as a function of temperature at different mole fractions of IL(The composition x 1 was the mole fraction of [Mmim][DMP] in DMSO and acetonitrile, respectively) ■ x 1 = 0; □ x 1 = 0.1002; ▲ x 1 = 0.1997; △ x 1 = 0.2998; ▼ x 1 = 0.4000; ▽ x 1 = 0.5008; ◆ x 1 = 0.6023; ◇ x 1 = 0.7014; ● x 1 = 0.7996; ○ x 1 = 0.8964; × x 1 = 1.0000
Fig.6 Viscosity for [Mmim][DMP] (1) + DMSO binary system as a function of mole fractions of IL at different temperatures ■ 293.15 K; □ 298.15 K; ▲ 303.15 K; △ 308.15 K; ▼ 313.15 K; ▽ 318.15 K; ◆ 323.15 K
Fig.7 Optimized structures of [Mmim]-acetonitrile and [Mmim]-DMSO obtained at the B3LYP/6-311++G**level (Hydrogen bonds are indicated by dotted lines, and distances are in angstroms)
Fig.8 Optimized structures of [DMP]- acetonitrile and [DMP]- DMSO obtained at B3LYP/6-311++G**level(Hydrogen bonds are indicated by dotted lines, and distances are in angstroms)
Fig.9 Optimized structures of [Mmim][DMP]-acetonitrile and [Mmim][DMP]-DMSO obtained at the B3LYP/6-311++G**level(Hydrogen bonds are indicated by dotted lines, and distances are in angstroms)
T / K | V E/(cm3·mol-1) | Δη/(mPa·s) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
A 0 | A 1 | A 2 | A 3 | σ(Y) | A 0 | A 1 | A 2 | A 3 | σ(Y) | |
[Mmim][DMP] + DMSO | ||||||||||
293.15 | -2.171 | 1.142 | -0.532 | 1.704 | 0.005 | -605.0 | -214.1 | -193.0 | -277.3 | 6.098 |
298.15 | -2.236 | 1.111 | -0.601 | 1.793 | 0.007 | -412.8 | -157.9 | -56.80 | -61.20 | 3.020 |
303.15 | -2.262 | 1.098 | -0.807 | 1.752 | 0.011 | -287.2 | -107.1 | -24.24 | -17.72 | 1.937 |
308.15 | -2.293 | 1.155 | -0.860 | 1.792 | 0.011 | -203.3 | -69.46 | -10.52 | -6.481 | 1.499 |
313.15 | -2.336 | 1.191 | -0.889 | 1.840 | 0.011 | -149.2 | -46.55 | -6.010 | -4.752 | 1.255 |
318.15 | -2.381 | 1.229 | -0.947 | 1.894 | 0.012 | -110.8 | -30.66 | 0.984 | 1.179 | 1.116 |
323.15 | -2.436 | 1.289 | -0.988 | 1.904 | 0.013 | -85.25 | -22.46 | 4.856 | 7.009 | 0.897 |
[Mmim][DMP] + 乙腈 | ||||||||||
293.15 | -5.157 | 3.292 | -2.771 | 3.492 | 0.032 | -720.3 | -514.3 | -291.2 | -72.87 | 3.540 |
298.15 | -5.400 | 3.269 | -2.798 | 4.162 | 0.030 | -499.1 | -371.5 | -114.9 | 93.96 | 4.418 |
303.15 | -5.630 | 3.372 | -2.961 | 4.368 | 0.030 | -350.8 | -246.0 | -58.80 | 78.62 | 2.564 |
308.15 | -5.837 | 3.527 | -3.051 | 4.620 | 0.029 | -253.2 | -165.1 | -17.75 | 74.31 | 1.552 |
313.15 | -6.059 | 3.673 | -3.169 | 4.931 | 0.028 | -189.2 | -121.2 | -7.246 | 64.44 | 1.295 |
318.15 | -6.279 | 3.712 | -3.261 | 5.477 | 0.034 | -143.9 | -93.14 | 4.74 | 67.30 | 1.258 |
323.15 | -6.529 | 3.778 | -3.255 | 6.099 | 0.040 | -112.4 | -72.45 | 6.374 | 58.34 | 1.098 |
Table 6 Coefficients of standard deviation and Redlich-Kister equation for V E and Δη for two mixtures of [Mmim][DMP] with DMSO and acetonitrile
T / K | V E/(cm3·mol-1) | Δη/(mPa·s) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
A 0 | A 1 | A 2 | A 3 | σ(Y) | A 0 | A 1 | A 2 | A 3 | σ(Y) | |
[Mmim][DMP] + DMSO | ||||||||||
293.15 | -2.171 | 1.142 | -0.532 | 1.704 | 0.005 | -605.0 | -214.1 | -193.0 | -277.3 | 6.098 |
298.15 | -2.236 | 1.111 | -0.601 | 1.793 | 0.007 | -412.8 | -157.9 | -56.80 | -61.20 | 3.020 |
303.15 | -2.262 | 1.098 | -0.807 | 1.752 | 0.011 | -287.2 | -107.1 | -24.24 | -17.72 | 1.937 |
308.15 | -2.293 | 1.155 | -0.860 | 1.792 | 0.011 | -203.3 | -69.46 | -10.52 | -6.481 | 1.499 |
313.15 | -2.336 | 1.191 | -0.889 | 1.840 | 0.011 | -149.2 | -46.55 | -6.010 | -4.752 | 1.255 |
318.15 | -2.381 | 1.229 | -0.947 | 1.894 | 0.012 | -110.8 | -30.66 | 0.984 | 1.179 | 1.116 |
323.15 | -2.436 | 1.289 | -0.988 | 1.904 | 0.013 | -85.25 | -22.46 | 4.856 | 7.009 | 0.897 |
[Mmim][DMP] + 乙腈 | ||||||||||
293.15 | -5.157 | 3.292 | -2.771 | 3.492 | 0.032 | -720.3 | -514.3 | -291.2 | -72.87 | 3.540 |
298.15 | -5.400 | 3.269 | -2.798 | 4.162 | 0.030 | -499.1 | -371.5 | -114.9 | 93.96 | 4.418 |
303.15 | -5.630 | 3.372 | -2.961 | 4.368 | 0.030 | -350.8 | -246.0 | -58.80 | 78.62 | 2.564 |
308.15 | -5.837 | 3.527 | -3.051 | 4.620 | 0.029 | -253.2 | -165.1 | -17.75 | 74.31 | 1.552 |
313.15 | -6.059 | 3.673 | -3.169 | 4.931 | 0.028 | -189.2 | -121.2 | -7.246 | 64.44 | 1.295 |
318.15 | -6.279 | 3.712 | -3.261 | 5.477 | 0.034 | -143.9 | -93.14 | 4.74 | 67.30 | 1.258 |
323.15 | -6.529 | 3.778 | -3.255 | 6.099 | 0.040 | -112.4 | -72.45 | 6.374 | 58.34 | 1.098 |
Fig.10 Excess molar volumes for mixtures of [Mmim][DMP] binary system as a function of mole fractions of IL at different temperatures(The solid curves are calculated with Redlich-Kister equation, and symbols represent experimental values) ■ 293.15 K; □ 298.15 K; ▲ 303.15 K; △ 308.15 K; ▼ 313.15 K; ▽ 318.15 K; ◆ 323.15 K
Fig.11 Viscosity deviations for mixtures of [Mmim][DMP]binary system at different temperatures(The solid curves are calculated with Redlich-Kister equation, and symbols represent experimental values) ■ 293.15 K; □ 298.15 K; ▲ 303.15 K; △ 308.15 K; ▼ 313.15 K; ▽ 318.15 K; ◆ 323.15 K
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