If you have a duplex double acting...

Question 1 of 270705eccef9bbacbc34ba4d45522

If you have a duplex double acting reciprocating pump making 130 strokes/minute, with a 3" diameter cylinder, a 10" stroke and operating with 93% volumetric efficiency, what is the capacity of this pump?

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Question 1 of 27070

🔍 Key Concepts

• Relationship between pump strokes per minute, cylinder volume per stroke, and total flow rate • How duplex double acting changes the number of displacements per revolution or per stroke cycle • Effect of volumetric efficiency on ideal (theoretical) vs actual capacity

💭 Think About

• First, find the volume displaced by one side of one cylinder for a single stroke using the area of a circle and the given stroke length. Then think about how many such displacements happen in one minute for a duplex double acting pump. • Convert your total displaced volume per minute into gallons per minute (gpm) using the correct cubic inches to gallons conversion factor. • After getting the theoretical gpm, apply the 93% volumetric efficiency to adjust to the actual capacity, then compare to the choices.

✅ Before You Answer

• Confirm how many times fluid is displaced in one minute for a duplex double acting pump (how many cylinder ends x strokes per minute). • Use the correct cylinder area formula: $A = \pi d^2 / 4$ and keep all dimensions in inches before converting to gallons. • Use the correct unit conversion: 1 gallon = 231 cubic inches, and apply the 93% efficiency at the correct step (after finding theoretical capacity).