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# HW3 - Problem Set 3 Rheology and Polymer Processing Due...

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Problem Set 3 Rheology and Polymer Processing Due Friday 4/23/10 1. A polymer blend is being prepared by mixing 80 kg of one polymer sample A (number average molecular weight M n,A =10,000 g/mol and weight average molecular weight M w,A =15,000 g/mol) with 20kg of another sample B ( M n,B =20,000 g/mol and M w,B =50,000 g/mol). Calculate the number average and weight average molecular weights of the mixture, M n,mix and M w,mix , respectively. What is the heterogeneity index? 2. a) From the definitions of M n and M w , M n = N i M i i N i i and M w = N i M i 2 i N i M i i , show that M w M n 1 = N i N j M i M j ( ) 2 j i 2 N i M i i 2 . b) What does this result imply about the relative magnitudes of M n and M w ? 3. The characteristics of two fluids, A and B, have been investigated by (1) measuring the terminal velocity of a sphere falling in a large bath of each fluid, and (2) measuring the volume flow rate of each at a specified pressure gradient. In (1) a 0.5 cm diameter sphere weighing 0.104 g fell with a terminal velocity of 0.75 cm/s in both fluids.

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HW3 - Problem Set 3 Rheology and Polymer Processing Due...

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