A centrifugal pump is installed in a pipeline between two reservoirs. The pump is required to produce a

flow rate of $2500gpm($gallons per minute$)$ in moving water from the lower reservoir to the upper reservoir.

If the water surface elevations of the two reservoirs are separated by $104$ feet, and the pump operates at an

overall efficiency of $78\mathrm{.}5\%,$ determine the required power input $($in $kW)$ to the motor. $($Assume that pipeline

losses are negligible.$)$