You must determine the pump head and power required to transport a petroleum fraction $(\mu=$ $\left.60 \mathrm{cP}, ho=55 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}\right)$ at a rate of $500 \mathrm{gpm}$ from a storage tank to the feed plate of a distillation column. The pressure in the tank is $2 \mathrm{psig}$ and that in the column is $20 \mathrm{psig}$. The liquid level in the tank is $15 \mathrm{ft}$ above ground, and the inlet to the column is $60 \mathrm{ft}$ high. If the piping system contains $400 \mathrm{ft}$ of 6 in. $\mathrm{Sch} .80$ steel pipe, 18 standard elbows, and 4 globe valves, calculate the required pump head (i.e., pressure) and the horsepower required if the pump is $70 %$ efficient.