The following data were measured for the viscosity of a $500 mathrm{ppm}$ polyacrylamide solution in distilled water:

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The following data were measured for the viscosity of a $500 \mathrm{ppm}$ polyacrylamide solution in distilled water:

Shear Rate $\left(\mathbf{s}^{-1}\right)$Viscosity $(\mathbf{c P})$Shear Rate $\left(\mathbf{s}^{-1}\right)$Viscosity $(\mathbf{c P})$
0.0153001530
0.022904022
0.052808015
0.0827012011
0.122602008
0.32003506
0.41907005
0.81802,0003.3
21004,5002.2
3.5807,0002.1
85020,0002

Find the model that best represents these data, and determine the values of the model parameters by fitting the model to the data. (This can be done most easily by trial and error, using a spreadsheet.)

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