A liquid flows through a pipe as shown above at a rate of $24025\mathrm{.}668449198lb\frac{m}{h}r.$ Assume the system is frictionless

Given:

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

The specific gravity of the fluid is $0\mathrm{.}8$

Pressure gauge readings are in psig and $P1=100$ psig

The inside diameters are as follows: at $P1=0\mathrm{.}75$ inches ; at $P2=4\mathrm{.}5$ in ; at $P3=3$ in

The piping system dimensions are as follows: $L1=26ft$;$L2=40ft$;$L3=75ft$;$L4=14ft$;$L5=16ft$;