If you have a duplex double acting...

Question 1 of 270705eccef9dbacbc34ba4d45e1e

If you have a duplex double acting reciprocating pump making 170 strokes/minute, with a 7" diameter cylinder, a 11" stroke and operating with 87% volumetric efficiency, what is the capacity of this pump?

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Question 1 of 27070

🔍 Key Concepts

• How to compute cylinder area from a given diameter • How a duplex double-acting reciprocating pump affects the number of pumping strokes per minute • Applying volumetric efficiency to convert theoretical capacity to actual capacity

💭 Think About

• First, find the volume displaced by one stroke of one cylinder using the given diameter and stroke length. What formula ties those together? • Next, think about a double-acting cylinder: does each stroke move liquid on one side or both sides of the piston? How does that change the total volume per stroke? • Then consider a duplex arrangement: how many cylinders are there, and how does that multiply your total displacement per minute before applying efficiency?

✅ Before You Answer

• Be sure you convert the cylinder volume from cubic inches to gallons using 231 in³ = 1 gallon. • Confirm you have multiplied by the correct total number of effective pumping actions per minute (consider both double-acting and duplex). • Only after finding the pump’s theoretical gpm should you multiply by 0.87 volumetric efficiency to get the capacity used to match the choices.