2
0
2009
zar
mir
0
journal
Original
Zarei, H. A.[Hossein A.]
Mirhidari, N.[Narjes]
Zangeneh, Z.[Zinab]
J. Chem. Eng. Data
2009
2020-09-29
Densities, Excess Molar Volumes, Viscosity, and Refractive Indices of Binary and Ternary Liquid Mixtures of Methanol (1) + Ethanol (2) + 1,2-Propanediol (3) at P = 81.5 kPa
Excess molar volume, VmE, and excess partial molar volume, ViE, of the ternary mixtures of methanol (1) + ethanol (2) + 1,2-propanediol (3) and of two binaries of methanol (1) + 1,2-propanediol (3) and ethanol (2) + 1,2-propanediol (3) have been investigated from the density, ?, measurements over the entire range of compositions at temperatures (298.15, 303.15, and 308.15) K and at P = 81.5 kPa. The limiting values of the excess partial molar volumes at infinite dilution, ViE,8, and thermal expansion coefficients, a, of the pure components are also evaluated. The dynamic viscosity, ?, of the ternary and the relevant binary mixtures and the refractive indices, nD, of the binary mixtures at temperature 303.15 K were measured. The measured systems exhibited negative values of VmE and become more negative with increasing temperatures. The excess molar volumes, dynamic viscosity, and refractive index deviations were correlated with the Redlich-Kister and the Cibulka equations for the binary and ternary system, respectively. The excess molar volumes, VmE, of the binary mixtures were compared with values from the literature in the region of overlap.
10.1021/je800633a
3
54
847-854
1
InChI=1S/C2H6O/c1-2-3/h3H,2H2,1H3
LFQSCWFLJHTTHZ-UHFFFAOYSA-N
ethanol
ethyl alcohol
C2H6O
1
Commercial source
1
99.8
3
Stated by supplier
2
None used
2
InChI=1S/C3H8O2/c1-3(5)2-4/h3-5H,2H2,1H3
DNIAPMSPPWPWGF-UHFFFAOYSA-N
1,2-propanediol
(.+-.)-1,2-propanediol
(R,S)-1,2-propanediol
1,2-dihydroxypropane
1,2-propylene glycol
2-hydroxypropanol
propane-1,2-diol
propylene glycol
C3H8O2
1
Commercial source
1
99.5
3
Stated by supplier
2
None used
3
InChI=1S/CH4O/c1-2/h2H,1H3
OKKJLVBELUTLKV-UHFFFAOYSA-N
methanol
methyl alcohol
CH4O
1
Commercial source
1
99.8
3
Stated by supplier
2
None used
1
1
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Refractive index (Na D-line)
Standard Abbe refractometry
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
298.15
5
2
101.325
6
1
1.3595
5
1
0.0007
2
1
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
303.15
5
2
81.5
3
1
0.000994
3
1
9e-06
3
1
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Mass density, kg/m3
VIBTUB::UFactor:3
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
81.5
3
1
Temperature, K
Liquid
1
298.15
5
1
785.18
5
1
0.45
1
303.15
5
1
780.87
5
1
0.46
1
308.15
5
1
776.52
5
1
0.47
4
2
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Refractive index (Na D-line)
Standard Abbe refractometry
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
298.15
5
2
101.325
6
1
1.4323
5
1
0.0007
5
2
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
303.15
5
2
81.5
3
1
0.033878
5
1
0.00058
6
2
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Mass density, kg/m3
VIBTUB:UFactor:3
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
81.5
3
1
Temperature, K
Liquid
1
298.15
5
1
1032.61
6
1
0.24
1
303.15
5
1
1028.9
6
1
0.23
1
308.15
5
1
1025.16
6
1
0.23
7
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Refractive index (Na D-line)
Standard Abbe refractometry
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
298.15
5
2
101.325
6
1
1.327
4
1
0.0007
8
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
303.15
5
2
81.5
3
1
0.000525
3
1
7e-06
9
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Mass density, kg/m3
VIBTUB::UFactor:3
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
81.5
3
1
Temperature, K
Liquid
1
298.15
5
1
786.57
5
1
0.45
1
303.15
5
1
781.85
5
1
0.46
1
308.15
5
1
777.1
5
1
0.47
10
2
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
3
Liquid
1
0.0688
3
1
0.02551
4
1
0.00038
1
0.1545
4
1
0.01849
4
1
0.00024
1
0.2606
4
1
0.01231
4
1
0.00014
1
0.3086
4
1
0.01021
4
1
0.00011
1
0.3666
4
1
0.00811
3
1
8e-05
1
0.4494
4
1
0.00581
3
1
5e-05
1
0.51
4
1
0.00454
3
1
4e-05
1
0.6098
4
1
0.00299
3
1
2e-05
1
0.6811
4
1
0.00221
3
1
2e-05
1
0.7687
4
1
0.00151
3
1
1e-05
1
0.8363
4
1
0.00111
3
1
1e-05
1
0.9225
4
1
0.00075
2
1
1e-05
11
2
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Refractive index (Na D-line)
ABBE:UFactor:2
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
3
Liquid
1
0.0688
3
1
1.4262
5
1
0.0008
1
0.1545
4
1
1.422
5
1
0.0008
1
0.2606
4
1
1.4155
5
1
0.0008
1
0.3086
4
1
1.4129
5
1
0.0008
1
0.3666
4
1
1.4096
5
1
0.0008
1
0.4494
4
1
1.4029
5
1
0.0008
1
0.51
4
1
1.3983
5
1
0.0008
1
0.6098
4
1
1.3883
5
1
0.0008
1
0.6811
4
1
1.3783
5
1
0.0008
1
0.7687
4
1
1.3665
5
1
0.0008
1
0.8363
4
1
1.3571
5
1
0.0008
1
0.9225
4
1
1.3404
5
1
0.0008
12
2
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Mass density, kg/m3
VIBTUB:UFactor:3
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
81.5
3
1
Temperature, K
Liquid
2
Mole fraction
3
Liquid
1
298.15
5
2
0
2
1
1032.61
6
1
0.24
1
298.15
5
2
0.0533
3
1
1026.26
6
1
0.22
1
298.15
5
2
0.1319
4
1
1016.21
6
1
0.2
1
298.15
5
2
0.2246
4
1
1003.13
6
1
0.18
1
298.15
5
2
0.282
4
1
994.24
5
1
0.17
1
298.15
5
2
0.3841
4
1
976.76
5
1
0.19
1
298.15
5
2
0.4496
4
1
964.21
5
1
0.21
1
298.15
5
2
0.53
4
1
947.16
5
1
0.23
1
298.15
5
2
0.6083
4
1
928.51
5
1
0.25
1
298.15
5
2
0.7006
4
1
903.39
5
1
0.29
1
298.15
5
2
0.7601
4
1
884.96
5
1
0.31
1
298.15
5
2
0.8454
4
1
855.03
5
1
0.35
1
298.15
5
2
0.9133
4
1
827.35
5
1
0.39
1
298.15
5
2
1
5
1
786.57
5
1
0.45
1
303.15
5
2
0
2
1
1028.9
6
1
0.23
1
303.15
5
2
0.0533
3
1
1022.52
6
1
0.22
1
303.15
5
2
0.1319
4
1
1012.45
6
1
0.2
1
303.15
5
2
0.2246
4
1
999.31
5
1
0.17
1
303.15
5
2
0.282
4
1
990.39
5
1
0.18
1
303.15
5
2
0.3841
4
1
972.84
5
1
0.2
1
303.15
5
2
0.4496
4
1
960.26
5
1
0.21
1
303.15
5
2
0.53
4
1
943.12
5
1
0.24
1
303.15
5
2
0.6083
4
1
924.41
5
1
0.26
1
303.15
5
2
0.7006
4
1
899.17
5
1
0.29
1
303.15
5
2
0.7601
4
1
880.67
5
1
0.32
1
303.15
5
2
0.8454
4
1
850.61
5
1
0.36
1
303.15
5
2
0.9133
4
1
823.02
5
1
0.4
1
303.15
5
2
1
5
1
781.85
5
1
0.46
1
308.15
5
2
0
2
1
1025.16
6
1
0.23
1
308.15
5
2
0.0533
3
1
1018.75
6
1
0.21
1
308.15
5
2
0.1319
4
1
1008.64
6
1
0.19
1
308.15
5
2
0.2246
4
1
995.47
5
1
0.18
1
308.15
5
2
0.282
4
1
986.48
5
1
0.19
1
308.15
5
2
0.3841
4
1
968.91
5
1
0.21
1
308.15
5
2
0.4496
4
1
956.25
5
1
0.22
1
308.15
5
2
0.53
4
1
939.07
5
1
0.24
1
308.15
5
2
0.6083
4
1
920.25
5
1
0.27
1
308.15
5
2
0.7006
4
1
894.96
5
1
0.3
1
308.15
5
2
0.7601
4
1
876.35
5
1
0.33
1
308.15
5
2
0.8454
4
1
846.16
5
1
0.37
1
308.15
5
2
0.9133
4
1
818.45
5
1
0.41
1
308.15
5
2
1
5
1
777.1
5
1
0.47
13
2
1
1
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
1
Liquid
1
0.0738
3
1
0.02501
4
1
0.00037
1
0.1285
4
1
0.02047
4
1
0.00028
1
0.2099
4
1
0.0152
4
1
0.00018
1
0.2725
4
1
0.01214
4
1
0.00013
1
0.3701
4
1
0.00855
3
1
8e-05
1
0.4389
4
1
0.00668
3
1
6e-05
1
0.5193
4
1
0.00503
3
1
4e-05
1
0.5871
4
1
0.00398
3
1
3e-05
1
0.678
4
1
0.0029
3
1
2e-05
1
0.7554
4
1
0.00223
3
1
2e-05
1
0.8185
4
1
0.0018
3
1
1e-05
1
0.9171
4
1
0.00129
3
1
1e-05
14
2
1
1
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Refractive index (Na D-line)
ABBE:UFactor:2
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
1
Liquid
1
0.0738
3
1
1.426
5
1
0.0008
1
0.1285
4
1
1.4233
5
1
0.0008
1
0.2099
4
1
1.4187
5
1
0.0008
1
0.2725
4
1
1.4153
5
1
0.0008
1
0.3701
4
1
1.4093
5
1
0.0008
1
0.4389
4
1
1.4052
5
1
0.0008
1
0.5193
4
1
1.3998
5
1
0.0008
1
0.5871
4
1
1.3946
5
1
0.0008
1
0.678
4
1
1.3876
5
1
0.0008
1
0.7554
4
1
1.3817
5
1
0.0008
1
0.8185
4
1
1.3765
5
1
0.0008
1
0.9171
4
1
1.3672
5
1
0.0008
15
2
1
1
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Mass density, kg/m3
VIBTUB:UFactor:3
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
81.5
3
1
Temperature, K
Liquid
2
Mole fraction
1
Liquid
1
298.15
5
2
0.0492
3
1
1023.64
6
1
0.22
1
298.15
5
2
0.122
4
1
1009.9
6
1
0.19
1
298.15
5
2
0.2072
4
1
993.05
5
1
0.18
1
298.15
5
2
0.2706
4
1
979.89
5
1
0.2
1
298.15
5
2
0.3633
4
1
959.86
5
1
0.22
1
298.15
5
2
0.4478
4
1
940.7
5
1
0.24
1
298.15
5
2
0.5261
4
1
921.85
5
1
0.27
1
298.15
5
2
0.6103
4
1
900.63
5
1
0.29
1
298.15
5
2
0.677
3
1
882.99
5
1
0.32
1
298.15
5
2
0.7613
4
1
859.54
5
1
0.35
1
298.15
5
2
0.8332
4
1
838.49
5
1
0.38
1
298.15
5
2
0.9232
4
1
810.57
5
1
0.42
1
298.15
5
2
1
5
1
785.18
5
1
0.45
1
303.15
5
2
0.0492
3
1
1019.91
6
1
0.21
1
303.15
5
2
0.122
4
1
1006.14
6
1
0.19
1
303.15
5
2
0.2072
4
1
989.22
5
1
0.19
1
303.15
5
2
0.2706
4
1
976.03
5
1
0.2
1
303.15
5
2
0.3633
4
1
955.92
5
1
0.22
1
303.15
5
2
0.4478
4
1
936.73
5
1
0.25
1
303.15
5
2
0.5261
4
1
917.81
5
1
0.27
1
303.15
5
2
0.6103
4
1
896.55
5
1
0.3
1
303.15
5
2
0.677
4
1
878.84
5
1
0.32
1
303.15
5
2
0.7613
4
1
855.37
5
1
0.35
1
303.15
5
2
0.8332
4
1
834.25
5
1
0.38
1
303.15
5
2
0.9232
4
1
806.3
5
1
0.42
1
303.15
5
2
1
5
1
780.87
5
1
0.46
1
308.15
5
2
0.0492
3
1
1016.16
6
1
0.21
1
308.15
5
2
0.122
4
1
1002.31
6
1
0.18
1
308.15
5
2
0.2072
4
1
985.36
5
1
0.19
1
308.15
5
2
0.2706
4
1
972.12
5
1
0.21
1
308.15
5
2
0.3633
4
1
951.97
5
1
0.23
1
308.15
5
2
0.4478
4
1
932.7
5
1
0.25
1
308.15
5
2
0.5261
4
1
913.76
5
1
0.28
1
308.15
5
2
0.6103
4
1
892.41
5
1
0.31
1
308.15
5
2
0.677
4
1
874.69
5
1
0.33
1
308.15
5
2
0.7613
4
1
851.13
5
1
0.36
1
308.15
5
2
0.8332
4
1
829.99
5
1
0.39
1
308.15
5
2
0.9232
4
1
801.98
5
1
0.43
1
308.15
5
2
1
5
1
776.52
5
1
0.47
16
1
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
3
Liquid
1
0.0417
3
1
0.000968
3
1
9e-06
1
0.1476
4
1
0.000906
3
1
8e-06
1
0.2214
4
1
0.000865
3
1
8e-06
1
0.2952
4
1
0.000828
3
1
8e-06
1
0.3644
4
1
0.000793
3
1
8e-06
1
0.4488
4
1
0.000753
3
1
8e-06
1
0.529
4
1
0.000717
3
1
8e-06
1
0.5995
4
1
0.000685
3
1
7e-06
1
0.6859
4
1
0.000648
3
1
7e-06
1
0.7442
4
1
0.000624
3
1
7e-06
1
0.832
4
1
0.000588
3
1
7e-06
1
0.9166
4
1
0.000556
3
1
7e-06
17
1
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Refractive index (Na D-line)
ABBE:UFactor:2
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
3
Liquid
1
0.0417
3
1
1.3567
5
1
0.0008
1
0.1476
4
1
1.3541
5
1
0.0008
1
0.2214
4
1
1.3522
5
1
0.0008
1
0.2952
4
1
1.3502
5
1
0.0008
1
0.3644
4
1
1.3485
5
1
0.0008
1
0.4488
4
1
1.3462
5
1
0.0008
1
0.529
4
1
1.3437
5
1
0.0008
1
0.5995
4
1
1.3415
5
1
0.0008
1
0.6859
4
1
1.3385
5
1
0.0008
1
0.7442
4
1
1.3363
5
1
0.0008
1
0.832
4
1
1.3328
5
1
0.0008
1
0.9166
4
1
1.3286
5
1
0.0008
18
2
1
1
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Viscosity, Pa*s
Capillary tube (Ostwald; Ubbelohde) method
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
303.15
5
2
Pressure, kPa
Liquid
81.5
3
1
Mole fraction
3
Liquid
2
Mole fraction
1
Liquid
1
0.0985
3
2
0.7025
4
1
0.001838
4
1
1.4e-05
1
0.0998
3
2
0.1981
4
1
0.010979
5
1
0.000117
1
0.0998
3
2
0.7983
4
1
0.001319
4
1
1e-05
1
0.1015
4
2
0.502
4
1
0.003649
4
1
2.9e-05
1
0.1137
4
2
0.5922
4
1
0.002539
4
1
1.9e-05
1
0.1165
4
2
0.2946
4
1
0.007225
4
1
6.7e-05
1
0.1194
4
2
0.3955
4
1
0.004976
4
1
4.2e-05
1
0.1224
4
2
0.0956
3
1
0.014508
5
1
0.000171
1
0.195
4
2
0.7041
4
1
0.001247
4
1
1e-05
1
0.1974
4
2
0.3126
4
1
0.004949
4
1
4.2e-05
1
0.1987
4
2
0.5014
4
1
0.002503
4
1
1.8e-05
1
0.2002
4
2
0.102
4
1
0.010673
5
1
0.000112
1
0.2003
4
2
0.398
4
1
0.003577
4
1
2.8e-05
1
0.2012
4
2
0.5964
4
1
0.001777
4
1
1.3e-05
1
0.2018
4
2
0.2013
4
1
0.007348
4
1
6.8e-05
1
0.2986
4
2
0.4021
4
1
0.0024
4
1
1.8e-05
1
0.301
4
2
0.5985
4
1
0.001182
4
1
1e-05
1
0.308
4
2
0.1272
4
1
0.006358
4
1
5.7e-05
1
0.317
4
2
0.1955
4
1
0.004752
4
1
4e-05
1
0.3269
4
2
0.4802
4
1
0.001623
4
1
1.2e-05
1
0.3276
4
2
0.2919
4
1
0.003215
4
1
2.5e-05
1
0.395
4
2
0.5033
4
1
0.00112
4
1
9e-06
1
0.3966
4
2
0.2144
4
1
0.003218
4
1
2.5e-05
1
0.4005
4
2
0.2993
4
1
0.002328
4
1
1.7e-05
1
0.4026
4
2
0.0993
3
1
0.004838
4
1
4.1e-05
1
0.4031
4
2
0.397
4
1
0.001585
4
1
1.2e-05
1
0.4979
4
2
0.3006
4
1
0.001539
4
1
1.2e-05
1
0.4985
4
2
0.4055
4
1
0.001039
4
1
9e-06
1
0.5029
4
2
0.114
4
1
0.003025
4
1
2.3e-05
1
0.5109
4
2
0.1904
4
1
0.002199
4
1
1.6e-05
1
0.5902
4
2
0.2136
4
1
0.001442
4
1
1.1e-05
1
0.5999
4
2
0.1055
4
1
0.002086
4
1
1.5e-05
1
0.6
4
2
0.2986
4
1
0.001005
4
1
9e-06
1
0.695
4
2
0.1018
4
1
0.001397
4
1
1.1e-05
1
0.7024
4
2
0.202
4
1
0.000924
3
1
8e-06
1
0.7944
4
2
0.1021
4
1
0.000903
3
1
8e-06
19
2
1
1
1
3
1
Principal objective of the work
RDC
TRC
4/30/2009
1
Mass density, kg/m3
VIBTUB:UFactor:3
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
81.5
3
1
Temperature, K
Liquid
2
Mole fraction
3
Liquid
3
Mole fraction
1
Liquid
1
298.15
5
2
0.0985
3
3
0.7025
4
1
849.96
5
1
0.36
1
298.15
5
2
0.0998
3
3
0.1981
4
1
979.83
5
1
0.19
1
298.15
5
2
0.0998
3
3
0.7983
4
1
819.81
5
1
0.4
1
298.15
5
2
0.1015
4
3
0.502
4
1
906.4
5
1
0.29
1
298.15
5
2
0.1137
4
3
0.5922
4
1
878.57
5
1
0.32
1
298.15
5
2
0.1165
4
3
0.2946
4
1
954.96
5
1
0.22
1
298.15
5
2
0.1194
4
3
0.3955
4
1
930.45
5
1
0.25
1
298.15
5
2
0.1224
4
3
0.0956
3
1
998.04
5
1
0.17
1
298.15
5
2
0.195
4
3
0.7041
4
1
820.55
5
1
0.4
1
298.15
5
2
0.1974
4
3
0.3126
4
1
935.08
5
1
0.25
1
298.15
5
2
0.1987
4
3
0.5014
4
1
883.18
5
1
0.31
1
298.15
5
2
0.2002
4
3
0.102
4
1
984.62
5
1
0.19
1
298.15
5
2
0.2003
4
3
0.398
4
1
911.83
5
1
0.28
1
298.15
5
2
0.2012
4
3
0.5964
4
1
853.74
5
1
0.36
1
298.15
5
2
0.2018
4
3
0.2013
4
1
961.54
5
1
0.21
1
298.15
5
2
0.2986
4
3
0.4021
4
1
886.78
5
1
0.31
1
298.15
5
2
0.301
4
3
0.5985
4
1
822.04
5
1
0.4
1
298.15
5
2
0.308
4
3
0.1272
4
1
959.42
5
1
0.21
1
298.15
5
2
0.317
4
3
0.1955
4
1
940.19
5
1
0.24
1
298.15
5
2
0.3269
4
3
0.4802
4
1
853.96
5
1
0.35
1
298.15
5
2
0.3276
4
3
0.2919
4
1
911.76
5
1
0.28
1
298.15
5
2
0.395
4
3
0.5033
4
1
823.64
5
1
0.4
1
298.15
5
2
0.3966
4
3
0.2144
4
1
916.85
5
1
0.27
1
298.15
5
2
0.4005
4
3
0.2993
4
1
890.44
5
1
0.3
1
298.15
5
2
0.4026
4
3
0.0993
3
1
947.42
5
1
0.23
1
298.15
5
2
0.4031
4
3
0.397
4
1
857.96
5
1
0.35
1
298.15
5
2
0.4979
4
3
0.3006
4
1
861.86
5
1
0.34
1
298.15
5
2
0.4985
4
3
0.4055
4
1
823.55
5
1
0.4
1
298.15
5
2
0.5029
4
3
0.114
4
1
920.55
5
1
0.26
1
298.15
5
2
0.5109
4
3
0.1904
4
1
894.82
5
1
0.3
1
298.15
5
2
0.5902
4
3
0.2136
4
1
862.88
5
1
0.34
1
298.15
5
2
0.5999
4
3
0.1055
4
1
897.44
5
1
0.29
1
298.15
5
2
0.6
4
3
0.2986
4
1
827.63
5
1
0.39
1
298.15
5
2
0.695
4
3
0.1018
4
1
868.61
5
1
0.33
1
298.15
5
2
0.7024
4
3
0.202
4
1
827.01
5
1
0.39
1
298.15
5
2
0.7944
4
3
0.1021
4
1
832.42
5
1
0.39
1
303.15
5
2
0.0985
3
3
0.7025
4
1
845.72
5
1
0.37
1
303.15
5
2
0.0998
3
3
0.1981
4
1
975.94
5
1
0.2
1
303.15
5
2
0.0998
3
3
0.7983
4
1
815.51
5
1
0.41
1
303.15
5
2
0.1015
4
3
0.502
4
1
902.3
5
1
0.29
1
303.15
5
2
0.1137
4
3
0.5922
4
1
874.4
5
1
0.33
1
303.15
5
2
0.1165
4
3
0.2946
4
1
950.99
5
1
0.23
1
303.15
5
2
0.1194
4
3
0.3955
4
1
926.43
5
1
0.26
1
303.15
5
2
0.1224
4
3
0.0956
3
1
994.22
5
1
0.18
1
303.15
5
2
0.195
4
3
0.7041
4
1
816.24
5
1
0.41
1
303.15
5
2
0.1974
4
3
0.3126
4
1
931.05
5
1
0.25
1
303.15
5
2
0.1987
4
3
0.5014
4
1
879.01
5
1
0.32
1
303.15
5
2
0.2002
4
3
0.102
4
1
980.75
5
1
0.19
1
303.15
5
2
0.2003
4
3
0.398
4
1
907.74
5
1
0.28
1
303.15
5
2
0.2012
4
3
0.5964
4
1
849.5
5
1
0.36
1
303.15
5
2
0.2018
4
3
0.2013
4
1
957.59
5
1
0.22
1
303.15
5
2
0.2986
4
3
0.4021
4
1
882.61
5
1
0.32
1
303.15
5
2
0.301
4
3
0.5985
4
1
817.7
5
1
0.41
1
303.15
5
2
0.308
4
3
0.1272
4
1
955.56
5
1
0.22
1
303.15
5
2
0.317
4
3
0.1955
4
1
936.16
5
1
0.25
1
303.15
5
2
0.3269
4
3
0.4802
4
1
849.69
5
1
0.36
1
303.15
5
2
0.3276
4
3
0.2919
4
1
907.64
5
1
0.28
1
303.15
5
2
0.395
4
3
0.5033
4
1
819.27
5
1
0.4
1
303.15
5
2
0.3966
4
3
0.2144
4
1
912.74
5
1
0.28
1
303.15
5
2
0.4005
4
3
0.2993
4
1
886.25
5
1
0.31
1
303.15
5
2
0.4026
4
3
0.0993
3
1
943.4
5
1
0.24
1
303.15
5
2
0.4031
4
3
0.397
4
1
853.66
5
1
0.36
1
303.15
5
2
0.4979
4
3
0.3006
4
1
857.56
5
1
0.35
1
303.15
5
2
0.4985
4
3
0.4055
4
1
819.15
5
1
0.4
1
303.15
5
2
0.5029
4
3
0.114
4
1
916.44
5
1
0.27
1
303.15
5
2
0.5109
4
3
0.1904
4
1
890.62
5
1
0.31
1
303.15
5
2
0.5902
4
3
0.2136
4
1
858.57
5
1
0.35
1
303.15
5
2
0.5999
4
3
0.1055
4
1
893.23
5
1
0.3
1
303.15
5
2
0.6
4
3
0.2986
4
1
823.22
5
1
0.4
1
303.15
5
2
0.695
4
3
0.1018
4
1
864.28
5
1
0.34
1
303.15
5
2
0.7024
4
3
0.202
4
1
822.55
5
1
0.4
1
303.15
5
2
0.7944
4
3
0.1021
4
1
827.94
5
1
0.39
1
308.15
5
2
0.0985
3
3
0.7025
4
1
841.45
5
1
0.37
1
308.15
5
2
0.0998
3
3
0.1981
4
1
972.02
5
1
0.21
1
308.15
5
2
0.0998
3
3
0.7983
4
1
811.18
5
1
0.42
1
308.15
5
2
0.1015
4
3
0.502
4
1
898.17
5
1
0.3
1
308.15
5
2
0.1137
4
3
0.5922
4
1
870.21
5
1
0.34
1
308.15
5
2
0.1165
4
3
0.2946
4
1
946.99
5
1
0.24
1
308.15
5
2
0.1194
4
3
0.3955
4
1
922.37
5
1
0.27
1
308.15
5
2
0.1224
4
3
0.0956
3
1
990.35
5
1
0.19
1
308.15
5
2
0.195
4
3
0.7041
4
1
811.9
5
1
0.42
1
308.15
5
2
0.1974
4
3
0.3126
4
1
926.99
5
1
0.26
1
308.15
5
2
0.1987
4
3
0.5014
4
1
874.81
5
1
0.33
1
308.15
5
2
0.2002
4
3
0.102
4
1
976.83
5
1
0.2
1
308.15
5
2
0.2003
4
3
0.398
4
1
903.62
5
1
0.29
1
308.15
5
2
0.2012
4
3
0.5964
4
1
845.22
5
1
0.37
1
308.15
5
2
0.2018
4
3
0.2013
4
1
953.6
5
1
0.23
1
308.15
5
2
0.2986
4
3
0.4021
4
1
878.4
5
1
0.33
1
308.15
5
2
0.301
4
3
0.5985
4
1
813.33
5
1
0.41
1
308.15
5
2
0.308
4
3
0.1272
4
1
951.55
5
1
0.23
1
308.15
5
2
0.317
4
3
0.1955
4
1
932.09
5
1
0.25
1
308.15
5
2
0.3269
4
3
0.4802
4
1
845.38
5
1
0.37
1
308.15
5
2
0.3276
4
3
0.2919
4
1
903.49
5
1
0.29
1
308.15
5
2
0.395
4
3
0.5033
4
1
814.89
5
1
0.41
1
308.15
5
2
0.3966
4
3
0.2144
4
1
908.6
5
1
0.28
1
308.15
5
2
0.4005
4
3
0.2993
4
1
882.03
5
1
0.32
1
308.15
5
2
0.4026
4
3
0.0993
3
1
939.35
5
1
0.24
1
308.15
5
2
0.4031
4
3
0.397
4
1
849.35
5
1
0.36
1
308.15
5
2
0.4979
4
3
0.3006
4
1
853.24
5
1
0.36
1
308.15
5
2
0.4985
4
3
0.4055
4
1
814.72
5
1
0.41
1
308.15
5
2
0.5029
4
3
0.114
4
1
912.29
5
1
0.28
1
308.15
5
2
0.5109
4
3
0.1904
4
1
886.39
5
1
0.31
1
308.15
5
2
0.5902
4
3
0.2136
4
1
854.23
5
1
0.36
1
308.15
5
2
0.5999
4
3
0.1055
4
1
889
5
1
0.31
1
308.15
5
2
0.6
4
3
0.2986
4
1
818.77
5
1
0.41
1
308.15
5
2
0.695
4
3
0.1018
4
1
859.93
5
1
0.35
1
308.15
5
2
0.7024
4
3
0.202
4
1
818.06
5
1
0.41
1
308.15
5
2
0.7944
4
3
0.1021
4
1
823.44
5
1
0.4