Question

Consider a single stage, single acting reciprocating compressor. Calculate the piston displacement in cubic metres per minute, if given the following:

piston stroke = 12 cm
piston diameter = 10 cm
piston speed = 1100 working strokes per minute
Displacement (m³/min) = ____________

A) 0.066
B) 0.792
C) 0.7920
D) 6.600

Answer 1

The displacement of the piston in a single stage, single acting reciprocating compressor is 0.066 m³/min.

Step-by-step explanation:

To calculate the piston displacement in cubic meters per minute, we need to first calculate the volume displaced by the piston in one stroke. The volume displaced by the piston in one stroke can be calculated using the formula: Displacement (m³/stroke) = piston area × piston stroke

Next, we need to calculate the volume displaced by the piston in one minute. This can be done by multiplying the volume displaced in one stroke by the working strokes per minute: Displacement (m³/min) = displacement (m³/stroke) × working strokes per minute

Substituting the given values, we have: Displacement (m³/min) = (π × (piston diameter/2)² × piston stroke) × working strokes per minute Plugging in the values, we get: Displacement (m³/min) = (π × (0.1 m/2)² × 0.12 m) × 1100 strokes/min = 0.066 m³/min.