Consider the diffusion coefficient of polystyrenes in the melt, at 176C. At this temperature, Me=13,000g/mol,M0=104g/mol,kT/0=109cm2/s,b=6.7A. a. For M=5,000g/mol, estimate the longest relaxation time and Dt. b. For M=500,000g/mol, estimate the longest relaxation time and Dt. c. Imagine one could measure the storage modulus G() and loss modulus G() for both M= 5,000g/mol and 500,000g/mol melt over the entire frequency range at a temperature T. On two separate graphs, plot G() and G() for these materials and denote values for all characteristic frequencies (timescales seg,Rouse,entanglement,reptation ) as appropriate