A coal slurry is found to behave as a power law fluid, with a flow index of 0.3 , a specific gravity of 1.5 , and an apparent viscosity of $70 \mathrm{cP}$ at a shear rate of $100 \mathrm{~s}^{-1}$. What volumetric flow rate of this fluid would be required to reach turbulent flow in a 1/2 in. ID smooth pipe, which is $15 \mathrm{ft}$ long? What is the pressure drop in the pipe (in psi) under these conditions?