If you have a duplex single acting reciprocating pump making 150 strokes/minute, with a 6 inch diameter cylinder, a 4 inch stroke and operating with 95% volumetric efficiency, what is the capacity of this pump?
• Volumetric efficiency of a pump and how it affects theoretical vs actual capacity • How to compute displacement per stroke for a reciprocating pump using cylinder area and stroke length • Understanding what duplex single acting means for how many strokes deliver liquid per revolution/cycle
• First, compute the volume displaced by one stroke of one piston in cubic inches, then convert to gallons. • Think about how many delivery strokes per minute you actually get from a duplex single acting pump making 150 strokes/minute. • After you find the theoretical gallons per minute, consider how to apply the 95% volumetric efficiency to get the actual capacity.
• Be sure you are using the correct area formula: (A = \pi d^2 / 4) with diameter in inches. • Confirm whether the given 150 strokes/minute applies to each cylinder or total for both, and how that impacts total delivered volume. • After finding total cubic inches per minute, convert to gallons using 231 in³ = 1 gallon, then apply the 95% efficiency.
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