Question

A pump has Hp=-7.89E-5*GPM^2+2.13E-3*GPM+200 and is installed in a system described by Hss=45+3.15E-4*GPM^1.9. At this operating...

A pump has Hp=-7.89E-5*GPM^2+2.13E-3*GPM+200 and is installed in a system described by Hss=45+3.15E-4*GPM^1.9. At this operating point, the flow rate is 808 gal/min. A valve is closed to reduce the flow to 500 gal/min. What's the head requiredd to move this flow through the system?

The correct answer is 181.3. Please show all steps and work to get to the correct answer

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