A small amount of polystyrene is held at a temperature T = 60 C in cyclohexane. The polystyrene

chains were characterized by GPC and found to have a molecular weight of Mn = 11.5 kg/mol. The viscosity

of cyclohexane is = 0.894 cP. Polystyrene has a Kuhn length of b = 7 A and a Kuhn monomer molar mass

of M0 = 720 g/mol. Assume the monomer friction coefficient is the same as in problem 1 (3x10^-10g/s @ T = 22C)

(a) Which model best describes the dynamics of the polystyrene? Why?

(b) What is the friction coefficient of the chain under this model? What is the chains diffusion coef-

ficient D?

(c) What is the longest relaxation time under this model?

(d) How far does the chain diffuse in solution after its relaxation time ? How long will it take the chain to

diffuse a distance of 1 cm in solution?