A liquid flows through a piping system from P$1$ to the top of a structure at P$2$ Sections A and $B$ are $2$ sch $40$ pipe

The pump suction piping is $2$ sch $40$ pipe AND CAN BE ASSUMED FRICTIONLESS

Section $C$ is $1\mathrm{.}5$ sch $40$ pipe

The piping system is intended to provide liquid at a rate of $50gpm$

while maintaining a $P2$ pressure of $3$ 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 $0\mathrm{.}007$

The pump efficiency can be assumed to be $37\%$

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 $10CP$

The vapor pressure of the fluid is $5$ psia

The piping system dimensions are as follows: $A=15ft$; $B=215ft$; $C=70ft$; $L=16ft$

$\backslash$table$[[,,$A and $B$ section,C section$],[$fitting$\_$type,fitting $K_{?}$ value,number of fittings,number of fittings$],[90$ degree bend,$7f,5,5],[$gate valve,$8f,7,9],[$check valve,$23f,2,1],[$tee $($run$),16f,4,5],[$tee $($branch$),60f,4,2],[$reducer$,K1={0\mathrm{.}5}^{**}(1-{}^2{)}^2,,1]]$

NOTE: $=($smaller flow diameter$)/($larger flow diameter$)$

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

What is the velocity in sections A and $B,f\frac{t}{s}?$

What is the velocity in section $C,f\frac{t}{s}?$

What is the pressure at $P1,$ psig?

For the next $4$ questions, do not include the pressure dron due to elevation changes

What is the pressure drop, psi, due to pipe in sections $A+B$

What is the pressure drop, psi, due to pipe in section C$?$

What is the pressure drop, psi, due to the pipe and fittings in sections $A+B$

What is the pressure drop, psi, due to the pipe and fittings in section $C?$

What is the pressure drop, psi, due to the elevation change from P$1$ to P$2?$

What is the required TDH$,ft,$ of the pump:

What is the NPSHA, net positive suction head available, $ft,$ for the pump?

What is the required hydraulic horsepower, hoi.