$12\mathrm{.}5\mathrm{.}1$ Solve example $12\mathrm{.}5\mathrm{.}1$ using a $12-$in diameter discharge pipe from the pump to reservoir B$.$ All other information is the same.

EXAMPLE $12\mathrm{.}5\mathrm{.}1$

Water at $60F$ is pumped from reservoir A $($surface elevation $20\mathrm{.}0ft)$ to reservoir B $($surface elevation $50\mathrm{.}0ft),$ as shown in Figure $12\mathrm{.}5\mathrm{.}13($a$).$ A $12-$in diameter suction pipe $($from reservoir A to pump$)$ is $100ft$ long and the discharge pipe $($from pump to reservoir B$)$ is $10\mathrm{.}0in$ in diameter and $1500ft$ long. Assume that the friction factor for each pipe is $0\mathrm{.}015.$ The suction pipe has an entrance loss coefficient of $K_e=1\mathrm{.}0$ and a check valve loss coefficient of $K_V=2\mathrm{.}5.$ The discharge pipe has two gate valves $K_{GV}=0\mathrm{.}2$ fully open. The pump has the head$-$discharge curve and efficiency curves shown in Figure $12\mathrm{.}5\mathrm{.}13$b$.$ The pump is operated at $1800rpm.$

$($a$)$ What is the flow rate?

$($b$)$ Find the power required to drive the pump.

Single$-$stage pump

$($v$)$