You would like to determine the pressure drop in a slurry pipeline. To do this, you need to know the rheological properties of the slurry. To evaluate these properties, you test the slurry by pumping it through a $1 / 8 \mathrm{in}$. ID tube that is $10 \mathrm{ft}$ long. You find that it takes a 5 psi pressure drop to produce a flow rate of $100 \mathrm{~cm}^{3} / \mathrm{s}$ in the tube and that a pressure drop of $10 \mathrm{psi}$ results in a flow rate of $300 \mathrm{~cm}^{3} / \mathrm{s}$. What can you deduce about the rheological characteristics of the slurry from these data? If it is assumed that the slurry can be adequately described by the power law model, what would be the values of the appropriate fluid properties (i.e., the flow index and consistency parameter) for the slurry?