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Acta Physico-Chimica Sinca  2017, Vol. 33 Issue (3): 513-519    DOI: 10.3866/PKU.WHXB201610251
ARTICLE     
Parameters of the Activation of Viscous Flow of Aqueous[C2mim] [Ala]
Jing TONG*(),Lu LIU,Duo ZHANG,Xu ZHENG,Xia CHEN,Jia-Zhen YANG
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Abstract  

The density and viscosity of aqueous solutions of an ionic liquid (IL) based on alanine, [C2mim] [Ala], with various molalities were measured in the temperature range of T=288.15-328.15 K with intervals of 5 K. From the Jones-Dole equation, a viscosity B-coefficient with a large positive value and dB/dT < 0 were obtained. According to Feakins, the contribution of the solute to the activation free energy for viscous flow of the solution, Δμ2≠0, was obtained. The relationship between Δμ2≠0 and temperature was linear, allowing the standard molar activation entropy, ΔS2≠0, and enthalpy, ΔH2≠0, to be obtained. On the basis of Eyring's theory, a new semi-empirical method to estimate the viscosity of aqueous[C2mim] [Ala] was proposed. The values estimated using this method agreed well with the corresponding experimental ones.



Key wordsIonic liquid      Viscosity of solution      Viscosity B-coefficient      Activation parameter for viscous flow of solution      Transition-state theory     
Received: 13 September 2016      Published: 25 October 2016
MSC2000:  O642  
Fund:  the National Natural Science Foundation of China(21273003)
Corresponding Authors: Jing TONG     E-mail: tongjinglnu@sina.com
Cite this article:

Jing TONG,Lu LIU,Duo ZHANG,Xu ZHENG,Xia CHEN,Jia-Zhen YANG. Parameters of the Activation of Viscous Flow of Aqueous[C2mim] [Ala]. Acta Physico-Chimica Sinca, 2017, 33(3): 513-519.

URL:

http://www.whxb.pku.edu.cn/10.3866/PKU.WHXB201610251     OR     http://www.whxb.pku.edu.cn/Y2017/V33/I3/513

Material Source Purity
717 type anion exchange resin National Pharmaceutical Group Chemical Reagent Company
1-methylimidazole Lanzhou Institute of Chemical Physics > 99%
bromoethane National Pharmaceutical Group Chemical Reagent Company > 98%
sodium hydroxide National Pharmaceutical Group Chemical Reagent Company > 96%
methyl alcohol National Pharmaceutical Group Chemical Reagent Company > 99.5%
acetonitrile National Pharmaceutical Group Chemical Reagent Company > 99.5%
ethyl acetate National Pharmaceutical Group Chemical Reagent Company > 99.5%
alanine National Pharmaceutical Group Chemical Reagent Company > 98.5%
absolute ethyl alcohol National Pharmaceutical Group Chemical Reagent Company > 99.7%
Table 1 Source and purity of the materials
Fig 1 Scheme of preparation of ionic liquids [C2mim][Ala] by the neutralization method 1: [C2mim]Br; 2: [C2mim][OH]; 3: [C2mim][Ala]
m/(mol?kg-1) ρ/(g?cm-3)
288.15 K 293.15 K 298.15 K 303.15 K 308.15 K 313.15 K 318.15 K 323.15 K 328.15 K
0* 0.99910 0.99820 0.99704 0.99564 0.99403 0.99222 0.99021 0.98804 0.98569
0.0163 0.99956 0.99864 0.99746 0.99605 0.99443 0.99261 0.99061 0.98843 0.98609
0.0220 0.99971 0.99879 0.99760 0.99619 0.99456 0.99274 0.99074 0.98856 0.98622
0.0278 0.99987 0.99894 0.99775 0.99633 0.99470 0.99288 0.99088 0.98869 0.98635
0.0556 1.00063 0.99967 0.99844 0.99700 0.99536 0.99352 0.99152 0.98933 0.98698
0.1670 1.00375 1.00265 1.00129 0.99976 0.99809 0.99622 0.99419 0.99196 0.98960
0.2789 1.00697 1.00574 1.00420 1.00262 1.00087 0.99899 0.99691 0.99470 0.99226
0.3914 1.01018 1.00883 1.00722 1.00557 1.00373 1.00180 0.99972 0.99750 0.99503
0.5040 1.01331 1.01185 1.01015 1.00841 1.00653 1.00462 1.00243 1.00016 0.99775
0.6173 1.01653 1.01496 1.01313 1.01128 1.00933 1.00739 1.00521 1.00289 1.00047
0.7312 1.01977 1.01807 1.01610 1.01415 1.01210 1.01019 1.00798 1.00568 1.00326
0.8452 1.02277 1.02121 1.01898 1.01699 1.01491 1.01290 1.01066 1.00832 1.00594
1.0079 1.02715 1.02541 1.02307 1.02101 1.01897 1.01679 1.01457 1.01214 1.00974
Table 2 Values of density (ρ) for aqueous [C2mim][Ala] with various molalities at 288.15-328.15 K
m/(mol?kg-1) 106η/(Pa?s)
288.15 K 293.15 K 298.15 K 303.15 K 308.15 K 313.15 K 318.15 K 323.15 K 328.15 K
0* 1138.94 1002.19 889.72 798.76 718.42 652.51 595.99 546.97 504.34
0.0163 1155.66 1016.83 900.32 810.28 726.22 661.23 604.04 554.05 510.81
0.0220 1162.14 1022.20 907.12 813.02 731.68 663.91 606.04 556.48 513.42
0.0278 1167.52 1026.54 911.25 816.71 734.85 666.47 608.46 558.74 515.47
0.0556 1203.50 1057.00 937.61 838.18 755.28 684.64 625.84 573.01 529.17
0.1670 1361.78 1197.73 1057.29 939.25 841.78 759.14 688.42 629.47 580.32
0.2789 1513.37 1326.28 1163.51 1028.02 917.09 827.74 749.56 685.07 625.26
0.3914 1658.85 1447.27 1273.96 1119.60 998.07 894.54 806.16 736.45 672.84
0.5040 1822.49 1576.27 1369.16 1210.09 1071.09 959.38 867.95 781.70 717.17
0.6173 1959.04 1698.93 1479.00 1302.43 1147.66 1027.68 929.59 832.47 764.53
0.7312 2102.97 1820.80 1581.68 1381.36 1225.96 1089.81 986.60 888.42 808.06
0.8452 2248.67 1943.41 1678.92 1470.57 1293.88 1158.21 1037.89 933.05 851.57
1.0079 2462.62 2111.12 1828.17 1600.75 1395.70 1255.26 1116.53 1001.13 912.97
Table 3 Values of viscosity (η) for aqueous [C2mim][Ala] with various molalities at 288.15-328.15 K
Fig 2 Plotting extrapolation function of ηvs c1/2 at 293.15, 303.15, 313.15, 323.15 K
288.15 K 293.15 K 298.15 K 303.15 K 308.15 K 313.15 K 318.15 K 323.15 K 328.15 K
A/(L1/2?mol-1/2) -0.0800 -0.0699 -0.0648 -0.0605 -0.0513 -0.0469 -0.0401 -0.0292 -0.0212
B/(L?mol-1) 1.4074 1.3479 1.2833 1.2145 1.1529 1.1098 1.0619 1.0015 0.9688
r2 0.9996 0.9997 0.9997 0.9995 0.9998 0.9995 0.9997 0.9997 0.9998
s/(L1/2?mol-1/2) 0.0126 0.0098 0.0095 0.0117 0.0074 0.0104 0.0078 0.0076 0.0066
Table 4 Parameter A, B coefficient of viscosity for aqueous [C2mim][Ala] with the correlation coefficient square r2 and the standard deviation s at 288.15-328.15 K
Fig 3 Plotting predicted values of viscoity, ηpre for the aqueous [C2mim][Ala] vs the corresponding experimental values, ηexp
T/K Δμ1≠0/(kJ?mol-1) Δμ2≠0/(kJ?mol-1) ΔS2≠0/(J?mol-1) ΔH2≠0/(kJ?mol-1) ?V10/(cm3?mol-1) ?V20 /(cm3?mol-1)
288.15 9.441 217.1 1023 511.8 18.03 173.82
293.15 9.295 212.5 1023 512.3 18.05 175.10
298.15 9.162 207.0 1023 511.8 18.07 176.51
303.15 9.047 200.4 1023 510.4 18.09 177.33
308.15 8.929 194.5 1023 509.7 18.12 178.27
313.15 8.828 191.0 1023 511.2 18.16 178.62
318.15 8.735 186.6 1023 511.9 18.19 179.36
323.15 8.647 180.0 1023 510.5 18.23 179.82
328.15 8.566 177.4 1023 512.9 18.28 180.28
Table 5 Thermodynamic parameters of the activation for viscous flow of aqueous [C2mim][Ala]
m/(mol?kg-1) ΔμE≠/RT
288.15 K 293.15 K 298.15 K 303.15 K 308.15 K 313.15 K 318.15 K 323.15 K 328.15 K
0.0163 -0.0084 -0.0075 -0.0091 -0.0055 -0.0080 -0.0047 -0.0038 -0.3921 -0.0029
0.0220 -0.0108 -0.0099 -0.0088 -0.0089 -0.0070 -0.0069 -0.0065 -0.3921 -0.0032
0.0278 -0.0144 -0.0135 -0.0117 -0.0114 -0.0093 -0.0095 -0.0086 -0.3921 -0.0048
0.0556 -0.0231 -0.0217 -0.0188 -0.0191 -0.0138 -0.0132 -0.0097 -0.3921 -0.0052
0.1670 -0.0563 -0.0466 -0.0413 -0.0401 -0.0332 -0.0328 -0.0318 -0.3921 -0.0195
0.2789 -0.1080 -0.0952 -0.0888 -0.0852 -0.0759 -0.0697 -0.0645 -0.3921 -0.0520
0.3914 -0.1739 -0.1589 -0.1418 -0.1358 -0.1201 -0.1159 -0.1101 -0.3921 -0.0863
0.5040 -0.2374 -0.2244 -0.2134 -0.1939 -0.1784 -0.1698 -0.1546 -0.3921 -0.1302
0.6173 -0.3234 -0.3010 -0.2804 -0.2567 -0.2387 -0.2254 -0.2050 -0.3921 -0.1744
0.7312 -0.4115 -0.3839 -0.3581 -0.3349 -0.3027 -0.2917 -0.2649 -0.3921 -0.2278
0.8452 -0.5028 -0.4706 -0.4430 -0.4090 -0.3785 -0.3556 -0.3335 -0.3921 -0.2839
1.0079 -0.6375 -0.6039 -0.5636 -0.5190 -0.4877 -0.4528 -0.4305 -0.3921 -0.3691
β0 -0.0019 -0.0015 -0.0009 -0.0010 -0.0008 0.0007 -0.0003 0.0013 0.0024
β1/(kg?mol-1) -0.3154 -0.2773 -0.2558 -0.2430 -0.2041 -0.2112 -0.1766 -0.1531 -0.1427
β2/(kg2 ·mol-2) -0.3204 -0.3242 -0.3080 -0.2761 -0.2818 -0.2436 -0.2517 -0.2399 -0.2284
r2 0.99998 0.99998 0.99998 0.99998 0.99998 0.99998 0.99998 0.99998 0.99998
s 0.00271 0.00261 0.00249 0.00237 0.00226 0.00219 0.00210 0.00199 0.00019
Table 6 Values of ΔμE≠/RT of aqueous [C2mim][Ala]
Fig 4 Plotting the viscosity values, ηpre′, of aqueous [C2mim][Ala] estimated by using the semi-empirical methodvs the corresponding experimental ones, ηexp
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