A liquid flows through a piping system from P$1$ to the top of a structure at P$2$ The entire piping system is $2$ sch $40$ pipe

The piping system is intended to provide liquid at a rate of $80gpm$ while maintaining a P$2$ pressure of $22$ psig.

The flowrate at P$1$ and P$2$ are the same. $($ie$..$ there is no splitting or branching of the flow$)$

The friction factor, $f($fanning$),$ can be assumed to be $0\mathrm{.}009$