Problem $[$Required$]$:

Water $($assumed frictionless and incompressible$)$ flows steadily from a large tank and exits

through a vertical, constant diameter pipe as shown. The air in the tank is pressurized to $50$ kPa $.$

$($a$)$ Determine the height, $h,$ to which the water rises

$($b$)$ Determine the water velocity in the pipe

$($c$)$ Determine The pressure in the horizontal part of the pipe

$($d$)$ Plot energy grade line $($EGL$)$ and hydraulic grade line $($HGL$)$ in the pipe. Take the pipe

entrance connected to the tank to be $x=0$ and work your way towards the pipe exit. Stop

at the pipe exit.