Below are intensity versus elution volume data that was recorded from a GPC curve of a sample of Polymer A in THF at 30 degrees Celcius.

Problem 2. Below are intensity versus elution volume data that was recorded from a GPC curve of a sample of Polymer A in THF at 30 C. Elution Volume 32.5 32.0 31.5 31.0 Intensity or Height 0.0 0.8 4.5 15.0 30.2 30.5 30.0 29.5 29.0 28.5 28.0 27.5 27.0 26.5 60.0 105.5 165.3 225.1 256.0 250.3 220.6 181.5 Elution Volume 26.0 25.5 25.0 24.5 24.0 23.5 23.0 22.5 22.0 21.5 21.0 20.5 Intensity or Height 147.1 120.0 88.0 67.8 50.1 36.2 22.1 12.3 6.9 2.0 0.1 0.0 Under identical experimental conditions six monodisperse samples of polystyrene having molecular weights: 2,000,000, 840,000, 470,000, 105,000, 52,000 and 11,000 g/mol eluted at elution volumes of: 23.3, 25.4, 26.7, 29.3, 30.3, 32.2, respectively. The Mark-Houwink- Sakurada constants for polystyrene in THF at 30 C are K = 3.71 x 104 dl/g and a=0.64. (a) Assume that the GPC curve of Polymer A is that of a polydisperse linear polystyrene. Calculate the: (i) Weight average molecular weight, Mw (ii) Number average molecular weight, Mn (iii) Polydispersity index (iv) Intrinsic viscosity, n (4 points) (b) Assume that the GPC curve of Polymer A is that of a polydisperse linear polychloroprene with Mark-Houwink-Sakurada constants in THF at 30 C of K = 4.18 x 10-5 dl/g and a =0.83. Calculate the: (i) Weight average molecular weight, Mw (ii) Number average molecular weight, M, (iii) Polydispersity index (iv) Intrinsic viscosity, n of this polychloroprene. (4 points) (c) Assume that the GPC curve of Polymer A is that of a polydisperse, tetrafunctionally star-branched polychloroprene (i.e. a polydispersed polymer made up of different molecular weight star-shaped polymers having four arms of equal length). Calculate the: (i) Weight average molecular weight, Mw (ii) Number average molecular weight, Mn (iii) Polydispersity index (iv) Intrinsic viscosity, n of this star-branched polychloroprene. (8 points)