Polymer scientists often report their data in rather strange units. For example, in the

Chapter 5, Problem 5.29

(choose chapter or problem)

Polymer scientists often report their data in rather strange units. For example, in the determination of molar masses of polymers in solution by osmometry, osmotic pressures are often reported in grams per square centimetre (g cm2) and concentrations in grams per cubic centimetre (g cm3). (a) With these choices of units, what would be the units of R in the vant Hoff equation? (b) The data in the table below on the concentration dependence of the osmotic pressure of polyisobutene in chlorobenzene at 25C have been adapted from J. Leonard and H. Daoust (J. Polymer Sci. 57, 53 (1962)). From these data, determine the molar mass of polyisobutene by plotting/c against c. (c) Theta solvents are solvents for which the second osmotic coefficient is zero; for poor solvents the plot is linear and for good solvents the plot is nonlinear. From your plot, how would you classify chlorobenzene as a solvent for polyisobutene? Rationalize the result in terms of the molecular structure of the polymer and solvent. (d) Determine the second and third osmotic virial coefficients by fitting the curve to the virial form of the osmotic pressure equation. (e) Experimentally, it is often found that the virial expansion can be represented as /c = RT/M(1 + Bc + gB2c2 + ) and in good solvents, the parameter g is often about 0.25. With terms beyond the second power ignored, obtain an equation for (/c)1/2 and plot this quantity against c. Determine the second and third virial coefficients from the plot and compare to the values from the first plot. Does this plot confirm the assumed value of g? 102(/c)/(g cm2/g cm3) 2.6 2.9 3.6 4.3 6.0 12.0 c/(g cm3) 0.0050 0.010 0.020 0.033 0.057 0.10 102(/c)/(g cm2/g cm3) 19.0 31.0 38.0 52 63 c/(g cm3) 0.145 0.195 0.245 0.27 0.29