- The basic
equation for the model is:
|
![For problems with accessibility in using figures and illustrations in this document, please contact the Directorate of Technical Support and Emergency Management at (202) 693-2300. For problems with accessibility in using figures and illustrations in this document, please contact the Directorate of Technical Support and Emergency Management at (202) 693-2300.](https://webarchive.library.unt.edu/eot2008/20090509132418im_/http://www.osha.gov/SLTC/etools/respiratory/images/a_equation1.gif) |
|
t = breakthrough time (min)
t
=
50% contaminant breakthrough time (min)
k' = rate constant (min-1)
P = probability of
contaminant breakthrough. |
- The value of
t is determined from experimental
data.
The value of k' has been shown to be
related to
t by the following formula:
|
![For problems with accessibility in using figures and illustrations in this document, please contact the Directorate of Technical Support and Emergency Management at (202) 693-2300. For problems with accessibility in using figures and illustrations in this document, please contact the Directorate of Technical Support and Emergency Management at (202) 693-2300.](https://webarchive.library.unt.edu/eot2008/20090509132418im_/http://www.osha.gov/SLTC/etools/respiratory/images/a_equation6.gif)
|
|
k = proportionality constant that is constant
independent of concentration and varies only slightly with humidity. |
- The value of
t is related to the contaminant concentration by
the equation:
|
![For problems with accessibility in using figures and illustrations in this document, please contact the Directorate of Technical Support and Emergency Management at (202) 693-2300. For problems with accessibility in using figures and illustrations in this document, please contact the Directorate of Technical Support and Emergency Management at (202) 693-2300.](https://webarchive.library.unt.edu/eot2008/20090509132418im_/http://www.osha.gov/SLTC/etools/respiratory/images/a_equation7.gif)
|
|
K", a = constants that can be derived from
experimental data. They vary with humidity, but for humidities ≤ 50% they are essentially constant.
CI = contaminant assault
concentration. (ppm)
|
- It is possible to determine the constants k, K", and a from a minimum of 3 experimental
data points. However, the inclusion of additional data points increases the accuracy of
the model.
|
|
How
does it compare with experimental results? See the
comparison.
|