You are building a pipeline to transport crude oil $(\mathrm{SG}=0.8$, viscosity $=30 \mathrm{cP})$ from a seaport over a mountain to a tank farm. The top of the mountain is $3000 \mathrm{ft}$ above sea level and $1000 \mathrm{ft}$ above the tank farm. The distance from the port to the mountain top is 200 miles and from the mountain top to the tank farm is 75 miles. The oil enters the pumping station at the port at $1 \mathrm{~atm}$ pressure and is to be discharged at the tank farm at $20 \mathrm{psig}$. The pipe diameter is $20 \mathrm{in}$. $\mathrm{Sch} .40$ commercial steel, and the oil flow rate is $2000 \mathrm{gpm}$.

(a) Will slack flow occur in the line? If so, you must install a restriction (orifice) at the downstream end of the line to ensure that the pipe will always be full. What should the pressure drop across the orifice be, in psi?

(b) How much pumping power will be required if the pumps are $70 %$ efficient? What pump head is required, in $\mathrm{ft}$ ?