Problem $3(20$ points$)$: The system shown below, with the distance between pump inlet and

$(5)/(8)$ reservoir water level equal to $2\mathrm{.}8$ m and $\backslash$Delta z$=5\mathrm{.}0$m$,$ is to be assembled to pump water.

$\%$ipes are $12$ cm in diameter, cast iron piping system with $\backslash$epsi $=0\mathrm{.}00008$m$,$ and the desired

flow rate is $0\mathrm{.}025($m$^(3))/($s$).$ Water properties are to be evaluated at and $\backslash$mu $=$

$8\mathrm{.}6\backslash$times $10^(-4)$k$($g$)/($m$).$s or N$.($s$)/($m$^(2))$ K$\_($L$)=0\mathrm{.}5$ for pipe entrance, K$\_($L$)=1\mathrm{.}5$ for standard flanged elbow, K$\_($L$)=0\mathrm{.}2$ for a

fully open gate valve placed between the pump exit and the upper reservoir, and K$\_($L$)=1\mathrm{.}01$hp$=746$W $85\%.$