If you have a simplex single acting...

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Question 1 of 205eccef9bbacbc34ba4d45520

If you have a simplex single acting reciprocating pump making 150 strokes/minute, with a 4" diameter cylinder, a 7" stroke and operating with 91% volumetric efficiency, what is the capacity of this pump?

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🔍 Key Concepts

• Simplex single-acting reciprocating pump – how many discharges per stroke cycle? • Formula for cylinder volume using diameter and stroke length • How to apply volumetric efficiency and convert cubic inches/min to gallons/min

💭 Think About

• First, find the volume displaced by ONE stroke using the cylinder dimensions. What is the area of the piston and how far does it travel? • Next, determine how many of those volumes are discharged in ONE MINUTE for a SIMPLEX SINGLE-ACTING pump at 150 strokes/min. • After finding the theoretical flow rate, how do you adjust for 91% volumetric efficiency, and then convert from cubic inches/min to gallons/min (remember 231 in³ = 1 gallon)?

✅ Before You Answer

• Be clear whether a single-acting pump discharges on every stroke or every other stroke. • Confirm that cylinder area is based on radius (half the diameter), not the full diameter. • After your math, check if the order of magnitude of your gpm answer is reasonable compared to the given choices.

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