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Concentration of Methanol, x mass of pycnometer + methanol, g
0.95 24.8521
0.8 25.3339
0.6 25.8119
0.4 26.1522
0.2 26.4174
0.1 26.546
mass of empty pycnometer, g 16.4252
mass of pycnometer + water, g 26.6863
mass of water, g 10.2611
density of water, g.cm3 0.9956
Table 8.1. Density determination of varying concentrations of methanol usin
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mass of methanol,g density of methanol, g/cm3
8.4269 0.817633747
8.9087 0.864381179
9.3867 0.910759911
9.727 0.943778074
9.9922 0.969509538
10.1208 0.981987163
g pycnometer
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density of methanol, kg/m3
817.6337469
864.3811794
910.7599107
943.7780745
969.509538
981.9871632
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Calibrating Liquid Average Flow Time, s vVscosity, cP Viscosity, P Density, kg/m3
water 10.52 0.7977 0.007977 995.6
ethanol 7.81 0.0961334 0.000961334 781.3918331
ethyl acetate 7.37 0.048709 0.00048709 887.6843417
Slope
B, m2
B. cm2
Y-Intercept
A, m2/s2
A, cm2/s2
Equation of line (for Poise)
R2
y= 1.43696E-06 - 7.56668E-05x
0.991049816
Table 8.2. Determination of calibration constant A and B for Cannon-Fenske viscometer
Table 8.3. Calibration line parameters and calibration constants
Figure 8.1. Calibration c
1.43696E-06
0.014369643
-7.56668E-05
7.56668E-05
0.756667629
1.43696E-06
0
0.0000001
0.0000002
0.0000003
0.0000004
0.0000005
0.0000006
0.0000007
0.0000008
0 0.002 0 .004
n/pt,
m2/s2
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Concentration of Methanol, x Average Time, s 1/t2 n/pt, m2/s2
0.95 11.25 0.007901235 8.39099E-07
0.8 15.41 0.004211092 1.11832E-06
0.6 17.7 0.003191931 1.19544E-06
0.4 17.41 0.003299153 1.18732E-06
0.2 14.48 0.00476939 1.07608E-060.1 12.44 0.006461885 9.4801E-07
Equation of line (for Poise) y= 1.43696E-06 - 7.56668E-05x
Table 8.4. Data on the effect of concentration to viscosity for methanol
Figure 8.2. Effect of concentration on viscosity of methanol
0
0.005
0.01
0.015
0.02
0.025
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Viscosity,
P
Concentration, x
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Density, g/cm3 Density of Methanol, kg/m3 Viscosity, P
0.817633747 817.6337469 0.00771835
0.864381179 864.3811794 0.014896152
0.910759911 910.7599107 0.01927098
0.943778075 943.7780745 0.019509124
0.969509538 969.509538 0.0151064840.981987163 981.9871632 0.011580812
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Temperature, K Average time, s Density, kg/m3 Viscosity, mPa-s
298.15 10.95 789.6123955 0.526483
303.15 10.19 784.7895533 0.486514
308.15 9.98 779.9094578 0.450485
313.15 9.47 774.9698165 0.417934
318.15 9.02 769.96818430.388458
323.15 8.72 764.9019488 0.36171
Slope
S, J/mol-K
Y-Intercept
H, J/mol
Equation of Line
R2
Slope
Y-Intercept
Equation of Line
R2
Table 8.5. Standard molar free energy of methanol at different temperatures
y= -3.834522985x + 11010.56193
-3.834522985
3.834522985
11010.56193
11010.56193
Table 8.6. Line parameters for the plot of G vs. T
0.999644653
Table 8.7. Line parameters for the plot of viscosity vs. temperature
-6.57477E-06
0.002481048
y= -6.57477E-06x + 0.002481048
0.9946485459760
9780
9800
9820
9840
9860
9880
295
Standardm
olarfreeenergy,
J/mol
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Viscosity, P Molar mass, g/mol Molar mass, kg/mol Planck's constant, kg-m2/s
0.000526483 32.042 0.032042 6.62606957E-34
0.000486514 32.042 0.032042 6.62606957E-34
0.000450485 32.042 0.032042 6.62606957E-34
0.000417934 32.042 0.032042 6.62606957E-34
0.000388458 32.042 0.032042 6.62606957E-340.00036171 32.042 0.032042 6.62606957E-34
FiFigure 8.3. Standard molar free energy vs. temperature plot
y = -3.8345x + 11011
R = 0.9996
300 305 310 315 320 325
Temperature, K
0
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
295 300
Viscosity,
P
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Avogadro's Number nM hNp nm/hNp ln(nm/hNp)
6.02E+23 1.68696E-05 3.15125E-07 53.53294756 3.980297307
6.02E+23 1.55889E-05 3.132E-07 49.77289367 3.907470532
6.02E+23 1.44344E-05 3.11253E-07 46.37531891 3.836767398
6.02E+23 1.33914E-05 3.09281E-07 43.29858234 3.768119894
6.02E+23 1.2447E-05 3.07285E-07 40.50625116 3.7014563126.02E+23 1.15899E-05 3.05263E-07 37.96693246 3.636715582
ure 8.4. Viscosity vs. temperature plot
y = -7E-06x + 0.0025
R = 0.9946
305 310 315 320 325
Temperature, K
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RTln(nm/hNp)
9866.436987
9848.346138
9829.641149
9810.409796
9790.7187599770.651381
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Concentration, g/dL to, s t, s Specific Viscosity, (t-to)/to
1 0.673333333 4.473333333 5.643564356
0.75 0.673333333 2.656666667 2.945544554
0.5 0.673333333 1.286666667 0.910891089
0.25 0.673333333 0.87 0.292079208
0.1 0.673333333 0.716666667 0.064356436
slope
Y-Intercept
Equation of Line
Intrinsic Viscosity [n], dL/g
R2
slope
Y-Intercept
Equation of Line
Intrinsic Viscosity [n], dL/g
R2
0.958495635
Table 8.6. Viscosity functions for different NaCMC concentrations at 0.1 M NaCl
Table 8.7. Line parameters for reduced viscosity vs. concentration plot
y= 5.609818017x - 0.276181277
5.609818017
-0.276181277
-0.276181277
Figure
0.946510459
Table 8.8. Line parameters for inherent viscosity vs. concentration plot
1.435772813
0.586921755
y= 1.435772813x + 0.586921755
0.5869217550
1
2
3
4
5
6
0 0
Reducedviscosity,
dL/g
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Reduced Viscosity (nsp/c), dL/g Relative Viscosity (n/no) ln(n/no)
5.643564356 6.643564356 1.89364862
3.927392739 3.945544554 1.372586981
1.821782178 1.910891089 0.647569672
1.168316832 1.292079208 0.25625271
0.643564356 1.064356436 0.062370331
.5. Reduced viscosity vs. concentration plot
y = 5.6098x - 0.2762
R = 0.9585
.2 0.4 0.6 0.8 1 1.2
Concentration, g/dL
0
0.5
1
1.5
2
2.5
0
Inherentviscosity,
dL/g
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Inherent Viscosity, (1/c)ln(n/no), dL/g
1.89364862
1.830115975
1.295139344
1.02501084
0.623703307
igure 8.6. Inherent viscosity vs. concentration plot
y = 1.4358x + 0.5869
R = 0.9465
0.2 0.4 0.6 0.8 1 1.2
Concentration, g/dL