You have purchased a centrifugal pump to transport water at a maximum rate of $1000 \mathrm{gpm}$ from one reservoir to another through an $8 \mathrm{in}$. sch 40 pipeline. The total pressure drop through the pipeline is 50 psi. If the pump has an efficiency of $65 %$ at maximum flow conditions and there is no heat transferred across the pipe wall or the pump casing, calculate

(a) The temperature change of the water through the pump

(b) The horsepower of the motor that would be required to drive the pump