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Posted on by in Air Teaser

By Ernie Parker, CFPAI, CFPSD, CFPS, CFPMM, CFPMT, CFPMIP, CFPMMH, CFPMIH, CFPE

Given an air compressor tank with the following dimension, how much would it cost if there was an air leak in the system that would require it to be recharged once each day for one year? The air compressor turns on at 0.55 MPa (79.75 psi) and off at 0.69 MPa (100.05 psi). The cost of air is $ 0.014/1000 normal liters ($ 0.3964/1000 SCF of air).

See Solution

Solution in Metric:
Solving in US Customary:
End Radius mm
254
End Radius in
10
Cyl Diameter mm
508
Cyl Diameter in
20
Cyl Length mm
1066.8
Cyl Length ft
42
Volume Ends mm³
68,641,973.18
Volume Ends in³
4,188.79
Volume Cyl mm³
216,222,215.51
Volume Cyl in³
13,194.69
Total Volume mm³
284,864,188.69
Total Volume in³
17,383.48
Total Volume liters
284.86
Total Volume SCF
10.06
Initial pressure MPa
0.55
Initial pressure psi
79.75
Final pressure MPa
0.69
Final pressure psi
100.05
Atmos MPa
0.101
Atmos psi
14.70
Compression Ratio Initial
6.43
Compression Ratio Initial
6.43
Compression Ratio Final
7.81
Compression Ratio Final
7.81
Nl Initial
1,830.30
SCF Initial
64.64
Nl Final
2,223.68
SCF Final
78.53
Fill Volume Nl
393.38
Fill Volume Nl
13.89
Volume per year
143,585.12
Volume per year
5,070.66
Cost per Nl
$0.014
Cost per Nl
$0.396
Cost per year
$2.01
Cost per year
$2.01