A liquid flows through a piping system from P$1$ to the top of a structure at P$2$

The entire piping system is $4$ sch $40$ pipe

The piping system is intended to provide liquid at a rate of $80gpm$

while maintaining a $P2$ pressure of $30$ psig.

The flowrate at $P1$ and $P2$ are the same. $($ie$..$ there is no splitting or branching of the flow$)$

The friction factor, $f($fanning$),$ can be assumed to be $0\mathrm{.}008$

Given:

The density of water is $62\mathrm{.}4lb\frac{m}{f}t3$

The specific gravity of the fluid is $0\mathrm{.}85$

The viscosity of the fluid is $5cP$

The piping system is shown above and contains the following fittings:

$1290$ degree bends; $K=8f$

$13$ gate valves ;$K=8f$

$2$ check valves; $K=30f$

$8$ tee runs ; $K=16f$

$3$ tee branches ; $K=46f$

The piping system dimensions are as follows: $A=29ft$;$B=195ft$;$C=80ft$

What is the volumetric flow, $ft\frac{3}{s},$ through the pipe?