Water is pumped at a rate of $90 \mathrm{gpm}$ by a centrifugal pump driven by a $10 \mathrm{hp}$ motor. The water enters the pump through a $3 \mathrm{in}$. sch 40 pipe at $60^{\circ} \mathrm{F}$ and $10 \mathrm{psig}$ and leaves through a $2 \mathrm{in}$. sch 40 pipe at $100 \mathrm{psig}$. If the water gains $0.1 \mathrm{Btu} / \mathrm{lb}_{\mathrm{m}}$ while passing through the pump, what is the water temperature leaving the pump?