A centrifugal pump takes water from a well at $120^{circ} mathrm{F}$ (vapor pressure $P_{mathrm{v}}=87.8 mathrm{mmHg}$ ) and

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A centrifugal pump takes water from a well at $120^{\circ} \mathrm{F}$ (vapor pressure $P_{\mathrm{v}}=87.8 \mathrm{mmHg}$ ) and delivers it at a rate of $50 \mathrm{gpm}$ through a piping system to a storage tank. The pressure in the storage tank is $20 \mathrm{psig}$, and the water level is $40 \mathrm{ft}$ above that in the well. The piping system contains $300 \mathrm{ft}$ of $1.5 \mathrm{in}$. sch 40 pipe, 10 std $90^{\circ}$ elbows, six gate valves, and an orifice meter with a diameter of $1 \mathrm{in}$.

(a) What are the specifications required for the pump?

(b) Would any of the pumps represented by the characteristic curves in Appendix $\mathrm{H}$ be satisfactory for this application? If more than one of them would work, which would be the best? What would be the pump head, impeller diameter, efficiency, NPSH, and required horsepower for this pump at the operating point?

(c) If the pump you select is driven by an $1800 \mathrm{rpm}$ motor, what impeller diameter should be used?

(d) What should be the minimum torque and horsepower rating of the motor if the pump is $50 %$ efficient?

(e) If the NPSH rating of the pump is $6 \mathrm{ft}$ at the operating conditions, where should it be located in order to prevent cavitation?

(f) What is the reading of the orifice meter, in psi?

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