A slurry pump must be selected to transport a coal slurry at a rate of $250 \mathrm{gpm}$ from an open storage tank to a rotary drum filter operating at $1 \mathrm{~atm}$. The slurry is $40 %$ solids by volume and has an $\mathrm{SG}$ of 1.2. The level in the filter is $10 \mathrm{ft}$ above that in the tank, and the line contains $400 \mathrm{ft}$ of 3 in. sch 40 pipe, two gate valves, and six $90^{\circ}$ elbows. A lab test shows that the slurry can be described as a Bingham plastic with $\mu_{\infty}=50 \mathrm{cP}$ and $\tau_{o}=80 \mathrm{dyn} / \mathrm{cm}^{2}$.

(a) What pump head is required?

(b) Using the pump curves in Appendix H, choose the pump that would be the best for this application. Specify the pump size, motor speed, impeller diameter, efficiency, and NPSH. State what criteria you used to make your decision.

(c) What horsepower motor would you need to drive the pump?

(d) Assuming the pump you choose has an NPSH of $6 \mathrm{ft}$ at the operating conditions, what is the maximum elevation above the tank that the pump could be located, if the maximum temperature is $80^{\circ} \mathrm{C}$ ? Vapor pressure $\left(P_{\mathrm{v}}\right)$ of water is 0.4736 bar at this temperature.