Below is a GPC curve together with intensity versus elution volume data that was recorded from...

   

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Below is a GPC curve together with intensity versus elution volume data that was recorded from a sample of Polymer A in THF at 30°C. GPC Curve of Polymer A Intensity 300 200 100 20 22 24 26 28 Elution Volume 30 32 Elution Volume 32.5 32.0 31.5 31.0 30.5 30.0 29.5 29.0 28.5 28.0 27.5 27.0 Intensity or Height 0.0 0.8 4.5 15.0 30.2 60.0 105.5 165.3 225.1 256.0 250.3 220.6 Elution Volume 26.5 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 181.5 147.1 120.0 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 of 2000000, 850000, 470000, 105000, 52000 and 11000 g mole eluted at elution volumes of 23.3, 25.4, 26.7, 29.3, 30.3 and 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 weight and number molecular weight averages, the polydispersity and the intrinsic viscosity of the polystyrene. Below is a GPC curve together with intensity versus elution volume data that was recorded from a sample of Polymer A in THF at 30°C. GPC Curve of Polymer A Intensity 300 200 100 20 22 24 26 28 Elution Volume 30 32 Elution Volume 32.5 32.0 31.5 31.0 30.5 30.0 29.5 29.0 28.5 28.0 27.5 27.0 Intensity or Height 0.0 0.8 4.5 15.0 30.2 60.0 105.5 165.3 225.1 256.0 250.3 220.6 Elution Volume 26.5 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 181.5 147.1 120.0 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 of 2000000, 850000, 470000, 105000, 52000 and 11000 g mole eluted at elution volumes of 23.3, 25.4, 26.7, 29.3, 30.3 and 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 weight and number molecular weight averages, the polydispersity and the intrinsic viscosity of the polystyrene.