If you have a duplex double acting...

Question 1 of 270705eccef9bbacbc34ba4d45523

If you have a duplex double acting reciprocating pump making 100 strokes/minute, with a 4" diameter cylinder, a 7" stroke and operating with 82% volumetric efficiency, what is the capacity of this pump?

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Question 1 of 27070

🔍 Key Concepts

• Duplex double-acting reciprocating pump – how many discharges per revolution/stroke cycle? • Area of a circle using cylinder bore diameter to find volume per stroke • Converting cubic inches per minute to gallons per minute (gpm) and applying volumetric efficiency

💭 Think About

• First, figure out how many separate discharge strokes occur in one minute for a duplex double-acting pump running at 100 strokes per minute – is it just 100, or more? • Calculate the volume displaced by one stroke in one cylinder: do you remember the formula for the area of a circle and how to include stroke length? • After getting total theoretical volume per minute, how do you adjust it for 82% volumetric efficiency, and then convert cubic inches per minute to gpm (using 231 in³ = 1 gallon)?

✅ Before You Answer

• Be sure you counted all pumping strokes correctly for a duplex double-acting pump (both cylinders, both sides). • Confirm you used the correct area formula: $A = \pi r^2$ with diameter 4" and stroke 7" to get volume per stroke. • Verify your final step: divide total cubic inches per minute by 231 in³/gal and then multiply by 0.82 for volumetric efficiency before matching one of the choices.