It requires 151 HP to operate a centrifugal...

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Question 1 of 205eccef9bbacbc34ba4d45429

It requires 151 HP to operate a centrifugal pump having a 14.75 inch impeller at 1800 RPM, at a capacity of 2250 GPM with a 218 foot head. If during an overhaul of the pump, the impeller diameter is reduced to 14 inches, the capacity of the pump operating at the same RPM would be __________.

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🔍 Key Concepts

• Affinity laws for centrifugal pumps (how flow, head, and power change with impeller diameter and speed) • Relationship between capacity (GPM) and impeller diameter when RPM is constant • How to apply ratios correctly and then use them to scale from known operating data

💭 Think About

• Ask yourself: when pump speed stays the same, how does changing only the impeller diameter affect the flow (GPM)? Is it proportional to diameter, diameter squared, or diameter cubed? • Start by writing a ratio using the original and new diameters, then apply the correct power of that ratio to find the new capacity. • After calculating the proportional change in capacity, compare that result with the original 2250 GPM to see which choice is closest.

✅ Before You Answer

• Be sure you are using the same units for both impeller diameters (inches to inches is fine). • Confirm you used the correct affinity law exponent for capacity (Q) vs. diameter (D) when RPM is constant. • Double-check your final GPM value against the original 2250 GPM to ensure the direction of change (increase vs. decrease) makes physical sense for a smaller impeller.

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