A pipeline carrying gasoline ( $mathrm{SG}=0.72, mu=0.7 mathrm{cP}$ ) is 5 miles long and is made of

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A pipeline carrying gasoline ( $\mathrm{SG}=0.72, \mu=0.7 \mathrm{cP}$ ) is 5 miles long and is made of 6 in. $\mathrm{Sch} .40$ commercial steel pipe. The line contains $2490^{\circ}$ elbows, 2 open globe valves, and a pump capable of producing a maximum head of $400 \mathrm{ft}$ is available. The inlet pressure to the line is $10 \mathrm{psig}$ and the exit pressure is $20 \mathrm{psig}$. The discharge end is $30 \mathrm{ft}$ higher than the inlet end.

(a) What is the maximum flow rate possible in the line, in gpm?

(b) What is the horsepower of the motor required to drive the pump if it is $60 %$ efficient?

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