Question #$3$: Pump Horsepower in a Brine System.

A pump pumps $0\mathrm{.}400f\frac{t^3}{s}$ of brine solution having a density of $1\mathrm{.}15\frac{g}{c}{m}^3$ from an open

feed tank having a large cross$-$sectional area. The suction line has an inside diameter of

$3\mathrm{.}548$ in$.$ and the discharge line from the pump has a diameter of $2\mathrm{.}067in.$ The discharge

flow goes to an open overhead tank, and the open end of this line is $75ft$ above the liquid

level in the feed tank. If the friction losses in the piping system are $18\mathrm{.}0ft*l\frac{b_f}{l}{b}_m,$ what

pressure must the pump develop and what is the horsepower of the pump if the efficiency

is $65\%?$ The flow is turbulent.