EXER 8 Calculations

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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