2) The Mark-Houwink-Sakurada (MHS) equation allows us to relate the intrinsic viscosity, [n], of a dilute polymer solution to the polymer viscosity-averaged molar mass, M, if one knows the constants K and "a" (M = 1 g/mol, K and "a" depend on the polymer/solvent pair and the temperature). Use the M, and [n] data from Table 2 for the following questions. K = 0. 237 a = a) Use data in Table 3, a suitable transformation of the MHS equation, and a linear least squares analysis to obtain values of K and "a" along with their appropriate standard deviations and units. If a quantity does not require a unit, enter "unitless" (without quotes). Use the data units (g, mol, or mL). 0.673 +/- 0.0237 Table 2: Molar mass & intrinsic viscosity data for polystyrene M, (g/mol) [n] (ml/g) +/- 0.010 5000 34000 61000 127000 147000 164000 182000 206000 232000 247000 unit 76.2 258.4 371.2 628. 2 695.9 759.8 817.1 912. 3 1011.4 1039. 2 unitless

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find the unit for K

2) The Mark-Houwink-Sakurada (MHS) equation allows us to relate the intrinsic viscosity, [n], of a dilute polymer solution to the polymer viscosity-averaged
molar mass, M, if one knows the constants K and "a" (M = 1 g/mol, K and "a" depend on the polymer/solvent pair and the temperature). Use the M, and [n] data
from Table 2 for the following questions.
K = 0. 237
a =
a) Use data in Table 3, a suitable transformation of the MHS equation, and a linear least squares analysis to obtain values of K and "a" along with their
appropriate standard deviations and units. If a quantity does not require a unit, enter "unitless" (without quotes). Use the data units (g, mol, or mL).
0.673
+/- 0.0237
Table 2: Molar mass & intrinsic viscosity data for polystyrene
M, (g/mol)
[n] (ml/g)
+/- 0.010
5000
34000
61000
127000
147000
164000
182000
206000
232000
247000
unit
76.2
258.4
371.2
628. 2
695.9
759.8
817.1
912. 3
1011.4
1039. 2
unitless
Transcribed Image Text:2) The Mark-Houwink-Sakurada (MHS) equation allows us to relate the intrinsic viscosity, [n], of a dilute polymer solution to the polymer viscosity-averaged molar mass, M, if one knows the constants K and "a" (M = 1 g/mol, K and "a" depend on the polymer/solvent pair and the temperature). Use the M, and [n] data from Table 2 for the following questions. K = 0. 237 a = a) Use data in Table 3, a suitable transformation of the MHS equation, and a linear least squares analysis to obtain values of K and "a" along with their appropriate standard deviations and units. If a quantity does not require a unit, enter "unitless" (without quotes). Use the data units (g, mol, or mL). 0.673 +/- 0.0237 Table 2: Molar mass & intrinsic viscosity data for polystyrene M, (g/mol) [n] (ml/g) +/- 0.010 5000 34000 61000 127000 147000 164000 182000 206000 232000 247000 unit 76.2 258.4 371.2 628. 2 695.9 759.8 817.1 912. 3 1011.4 1039. 2 unitless
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