$(35$ p$)$ Water at $80C$ is being pumped from the tank into a $2\frac{1}{2}-$in Schedule $40$ steel pipe through an inward$-$projecting tube $($Entrance resistance coefficient $K=1\mathrm{.}0)$ at the rate of $475\frac{L}{m}in$ shown in Figure given below. Compute the pressure at the inlet of the pump. Required Data: Steel tube roughness $)=(4\mathrm{.}6{10}^{-5}(m)$; Globe valve$-$fully open $)=(340$ standard elbow $)=(30$