Calculate the Cost of an Air Leak
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 |
