A thick slurry with $S G=1.3$ is to be pumped through a $1 \mathrm{in}$. ID pipe that is $200 \mathrm{ft}$ long. You don't know the properties of the slurry, so you test it in the lab by pumping it through a $4 \mathrm{~mm}$ ID tube that is $1 \mathrm{~m}$ long. At a flow rate of $0.5 \mathrm{~cm}^{3} / \mathrm{s}$, the pressure drop in this tube is $1 \mathrm{psi}$, and at a flow rate of $5 \mathrm{~cm}^{3} / \mathrm{s}$, it is $1.5 \mathrm{psi}$. Estimate the pressure drop that would be required to pump the slurry through the $1 \mathrm{in}$. pipe at a rate of $2 \mathrm{gpm}$ and also at $30 \mathrm{gpm}$. Clearly explain the procedure you use, and state any assumptions that you make. Comment in detail about the possible accuracy of your predictions. The slurry SG is 1.3.