$2(20$ pt$).$ Water is pumped between $2$ reservoirs at $3f\frac{t^3}{s},$ it has $200$ ft long pipe with diameter $=6$ in$,$ the pipe roughness ratio is $0\mathrm{.}0005.$ Assume loss coefficients, ${\displaystyle \underset{?}{\overset{?}{}}}{K}_L=6\mathrm{.}5($include entrance, exit, and all pipe components$).$

$($a$)$ write tne govern$$ng equation and state assumptions.

$($b$)$ Compute the required pump horsepower in $($ hp