If you have a duplex double acting...

Question 1 of 270705eccef9bbacbc34ba4d4552d

If you have a duplex double acting reciprocating pump making 180 strokes/minute, with a 3" diameter cylinder, a 11" stroke and operating with 75% volumetric efficiency, what is the capacity of this pump?

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Question 1 of 27070

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🔍 Key Concepts

• Flow rate of a reciprocating pump in gallons per minute (gpm) • Converting cubic inches per minute to gallons per minute (231 in³ = 1 gallon) • Effect of volumetric efficiency and a duplex double-acting arrangement on theoretical displacement

💭 Think About

• How do you calculate the volume displaced by one stroke using the cylinder diameter and stroke length? • For 180 strokes per minute on a duplex double-acting pump, how many effective pumping strokes per minute are there? • After finding the theoretical flow, how do you adjust it using 75% volumetric efficiency and convert the final volume to gpm?

✅ Before You Answer

• Be sure you use the correct area of the piston: $A = \pi D^2 / 4$ with D in inches • Carefully account for both duplex (two cylinders) and double-acting (both sides pumping) when counting total strokes/minute • After computing flow in in³/min, divide by 231 in³/gal and check if your final gpm value is closest to one of the choices