molecular weight and polymer properties methods used to determine mn, mw membrane osmometry

19
Membrane Osmometry Alfredo Clemente CH 392N Prof. Grant Willson. The University of Texas Austin

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Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry Conclusions: Advantages and disadvantages Questions. Introduction and Theory Measuring Mn by osmotic pressure. Relative fraction. Molecular weight. - PowerPoint PPT Presentation

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Page 1: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

Membrane Osmometry

Alfredo Clemente

CH 392NProf. Grant Willson.

The University of Texas Austin

Page 2: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

Membrane Osmometry

The University of Texas at Austin

Molecular Weight and polymer propertiesMethods Used to determine Mn, MwMembrane Osmometry

Conclusions: Advantages and disadvantagesQuestions

Introduction and TheoryMeasuring Mn by osmotic pressure

Page 3: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Molecular weight

Rel

ativ

e fra

ctio

n

Representative differential weight distribution curves1

Page 4: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Relationship of polymer properties to molecular weight.1

Page 5: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Typical Molecular Weight Determination Methods1

Method Type of mol. wt. avg. Range Info.

Light scattering (LS) To ∞ Shape

Membrane osmometry 2x104 to 2x106

Vapor phase osmometry To 4x104

Electron and X-ray microscopy 102 to ∞ Shape, dist

Ebulliometry To 4x104

Cryoscopy To 5x104

End Group Analysis To 2x104

Osmodialysis 500-2500Centrifugation To ∞SEC, with c detector Relative To ∞ Mol w Dist

SEC, with c and LS detectors To ∞ Mol w Dist

Viscometry Relative To ∞

nM

nMzwnM ,,

nMnMnMnMwzM ,

wnM ,

wM

Page 6: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Membrane OsmometryIntroduction and Theory

Osmosis and Osmotic Pressure

Osmosis and Chemical Potential

h

011

Page 7: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Equilibrium of Chemical Potential2

)(

)(

)(

)()..(

)(

)(

1011

10101

1,,1,,

1

,,

,,1,,

1

,,

,,

11

01

221

21

2121

021

VIV

VVPP

IVVnG

P

IIIthenvolumesolutiontheeiVPGSince

PG

nP

IIthatfollowsitnGFrom

IdPP

nPTnnT

nnT

nnTnnT

nTPii

P

PnnT

j

Page 8: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Osmotic Pressure

)(/21/

)(//

)(

)()(

)(

)(/21/

)(21/

221

22

22

11

1

2

21

22

11

12212

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011

011

XIIIVnVxTVnT

XIIVnVx

XIVnV

Xnxn

xnnxn

IXVV

VIIIVTVxT

VIITxT

RR

RR

RR

for expression HugginsFloury

Page 9: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Osmotic Pressure and

)(21RR

)(1)(/

)(21RR

)(

)(

221

2

21

12

2

1

1

22

2

XXcVT

MT

c

XIXMV

MxV

XVIIVVx

XVIcMxV

VT

MT

c

XVMc

mn

Vm

Vn

XIVnm

nMn

M

n

nn

nn

n

i

iin

nM

Page 10: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Osmotic Pressure and

)(...1R

)(R

)(R

232

0

XXIIIcAcAM

Tc

XXIIMT

c

XXIMT

c

n

nc

n

nM

Page 11: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Osmotic Pressure and nM

Typical plot of osmometry experimental data

12

14

16

18

20

0 2 4 6 8 10 12

c/ g dm-3

(п/c

) / J

kg-

12

Page 12: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Measuring by osmotic pressurenMMembrane osmometers used:

Static osmometer2

h•Equilibrium by natural diffusion

•Large cell volumes

•Long equilibrium times

Page 13: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Measuring by osmotic pressurenMMembrane osmometers used:

Dynamic osometer3

•Equilibrium by reducing pressure on solution reservoir

•Small cell volumes

•Short equilibrium times

Page 14: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Measuring by osmotic pressurenMMembrane osmometers used:

Dynamic osometer3

Page 15: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Osmotic Pressure and nM 5

20.0°C:Slope = A2 = -2.0x10-4 cm3 mol/g2

1/intercept = Mn = 1.97x104 g/mol34.5°C:Slope = A2 = 1.7x10-5 cm3 mol/g2

1/intercept = Mn = 2.02x104 g/mol50.0°C:Slope = A2 = 1.7x10-5 cm3 mol/g2

1/intercept = Mn = 2.00x104 g/mol

Page 16: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Conclusion: Advantages and disadvantages

DisadvantagesMembrane problems: leakage, asymmetry and ballooningOverestimation of molecular due low molecular weight moleculesNot suitable for electrolytes

AdvantagesAbsolute value of MnNo calibration with standards requiredIndependent of chemical heterogeneityApplicable to polymers with broad range of molecular weightsMeasurement of Mn within 10,000 to 2x106

Page 17: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

Questions?

Page 18: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

References1. Carraher, C. E., Jr Polymer Chemistry: An Introduction, 4th Ed., Marcel Dekker, NY: 1996.2. Young, R. J.; Lovell, P. A. Introduction to Polymers, 2nd Ed., Chapman & Hall, New York: 1991.3. Lipták B. G.; Brodgesell, A. Instrument Engineers' Handbook, Process measurement and analysis. CRC Press, Florida: 19954. W. R. Krigbaum and L. H. Sperling, J. Phys. Chem., 64, 99 (1960)5. Hiemenz, Paul C., Lodge, Timothy P.; Polymer Chemistry, 2nd Ed., CRC Press, Boca Raton: 2007.6. http://www.engga.uwo.ca/people/pcharpentier/392-2004/MW%20Measurement.pdf7. http://www.chem.ufl.edu/~polymer/instrumentation/vpo.html8. http://www.chem.ufl.edu/~polymer/instrumentation/vpo.html9. http://www.eng.uq.edu.au/files/course/files/CHEE2006/CHEE2006%20Week%2012_2.pdf

Page 19: Molecular Weight and polymer properties Methods Used to determine Mn, Mw Membrane Osmometry

The University of Texas at Austin

References10. http://www.humancorp.co.kr/catalog/272-277.pdf11. http://www.gonotec.com/content.OSMO_090.PRODUCTS_CHEM.OSMO_090.USA.ENG.html12. http://www.princeton.edu/~pccm/facilities-polymersynth-eq.htm13 Chalmer, John M.; Meier, Robert J., Molecular Characterization and Analysis of polymers, Elsevier Science, Burlington: 2008