Problem $2$: Calculate the combined head loss $($both pipe and minor losses$)$ and the head added by the pump at a flow rate of $50$ gallons per minute.

System Data for Problem $2$

Water $59F$

$,$ Elevation difference, $z_2-z_1=57$ feet

$,$ Pipe Size, $D=2\mathrm{.}0$ inches ID

Total pipe length, $L=300$ feet

$K_L$ entrance $=0\mathrm{.}50$

$K_L$ Valve $1=2\mathrm{.}0$

$,K_L{2}^{\text{'}\text{'}}$ to $1\frac{11}{2}"$ Contraction $=0\mathrm{.}08($applied to $1\frac{1}{2}"$ suction$)$

$K_L{1}^{\text{'}\text{'}}$ to $2^{\text{'}\text{'}}$ Expansion $=0\mathrm{.}20($applied to $1^{\text{'}\text{'}}$ discharge$)$

$K_L$ Valve $2=6\mathrm{.}8$

$K_L$ elbows $=0\mathrm{.}34($there are $3)$

$K_L$ exit $=1\mathrm{.}05$