[5] 1) A 50 gram sample of polymer was fractionated into 6 samples of different molecular weights given in the Table below. The viscosity average molecular weight, Mv, of each was measured and is included in the Table. Estimate the Mn, Mw, and Mz of the original sample. For your calculations assume that each fraction measured by Mv is extremely narrow and is monodisperse. Would you classify the molecular weight distribution of the original sample as narrow or broad? [2] b) Sketch the molecular-above weight distribution (MWD) assuming it was obtained from a GPC chromatogram using an online viscometer. Label the axis and show the relative placement of the various molecular weight averages. [3] c) Discuss Benoit's finding of the universal calibration principal, and how this allows GPC to be used to measure polymer MW's. [4] d) If the retention volume for a monodisperse polyethylene oxide (PEO) sample of 60,000g/mol is 100mL in water at 25C, what is the molecular weight of a fraction of poly acrylic acid (PAA) at the same elution volume for the same experimental conditions? The Mark-Houwink parameters, for PEO are K=7.54103ml/g and a=0.79. For PAA K=16.3103ml/g and a= 0.74