The TLV (threshold limit value) of carbon monoxide is 25 ppm. A car mechanic is exposed to the following carbon monoxide levels over an 8-hour shift. Exposure duration in minutes (7T:) 72 150 186 Concentration in ppm (C;) 34 40 20 d) Find the time-weighted average TLV. e) Is the car mechanic exposed to a level of carbon monoxide beyond the TLV?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Appendix A
Table 1: Transformation of Percentages to Probits
Transformation of Percentages to Probits
%
1
4
6
7
2.67
2.95
3.12
3.25
3.36
3.45
3.52
3.59
3.66
---
10
3.72
3.77
3.82
3.87
3.92
3.96
4.01
4.05
4.08
4.12
20
4.16
4.19
4.23
4.26
4.29
4.33
4.36
4.39
4.42
4.45
30
4.48
4.50
4.53
4.56
4.59
4.61
4.64
4.67
4.69
4.72
40
4.75
4.77
4.80
4.82
4.85
4.87
4.90
4.92
4.95
4.97
50
5.00
5.03
5.05
5.08
5.10
5.13
5.15
5.18
5.20
5.23
60
5.25
5.28
5.31
5.33
5.36
5.39
5.41
5.44
5.47
5.50
70
5.52
5.55
5.58
5.61
5.64
5.67
5.71
5.74
5.77
5.81
80
5.84
5.88
5.92
5.95
5.99
6.04
6.08
6.13
6.18
6.23
90
6.28
6.34
6.41
6.48
6.55
6.64
6.75
6.88
7.05
7.33
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
---
99
7.33
7.37
7.41
7.46
7.51
7.58
7.65
7.75
7.88
8.09
Transcribed Image Text:Appendix A Table 1: Transformation of Percentages to Probits Transformation of Percentages to Probits % 1 4 6 7 2.67 2.95 3.12 3.25 3.36 3.45 3.52 3.59 3.66 --- 10 3.72 3.77 3.82 3.87 3.92 3.96 4.01 4.05 4.08 4.12 20 4.16 4.19 4.23 4.26 4.29 4.33 4.36 4.39 4.42 4.45 30 4.48 4.50 4.53 4.56 4.59 4.61 4.64 4.67 4.69 4.72 40 4.75 4.77 4.80 4.82 4.85 4.87 4.90 4.92 4.95 4.97 50 5.00 5.03 5.05 5.08 5.10 5.13 5.15 5.18 5.20 5.23 60 5.25 5.28 5.31 5.33 5.36 5.39 5.41 5.44 5.47 5.50 70 5.52 5.55 5.58 5.61 5.64 5.67 5.71 5.74 5.77 5.81 80 5.84 5.88 5.92 5.95 5.99 6.04 6.08 6.13 6.18 6.23 90 6.28 6.34 6.41 6.48 6.55 6.64 6.75 6.88 7.05 7.33 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 --- 99 7.33 7.37 7.41 7.46 7.51 7.58 7.65 7.75 7.88 8.09
Question 1
100 persons were exposed to the following concentrations of carbon monoxide over three periods of
varying durations:
Exposure duration in minutes (T¡)
150
50
20
Concentration in ppm (C;)
200
100
50
The equation of the Probit as a function of E C;T; for carbon monoxide exposure is given as:
Y = -37.98 +3.7 x In EC;Ti
where C; is the carbon monoxide concentration in ppm and T; is the duration of exposure in minute.
A table (Table 1) of transformation from percentage to Probits is given in Appendix A.
a) Calculate the Probit of this exposure and determine the number of fatalities.
b) Estimate the maximum exposure time that results in no more than 5% of fatalities at an
exposure concentration of 2000 ppm.
c) Determine the LC50 for a 100-minute exposure period.
The TLV (threshold limit value) of carbon monoxide is 25 ppm. A car mechanic is exposed to the
following carbon monoxide levels over an 8-hour shift.
Exposure duration in minutes (7T;)
72
150
186
Concentration in ppm (C;)
34
40
20
d) Find the time-weighted average TLV.
e) Is the car mechanic exposed to a level of carbon monoxide beyond the TLV?
Transcribed Image Text:Question 1 100 persons were exposed to the following concentrations of carbon monoxide over three periods of varying durations: Exposure duration in minutes (T¡) 150 50 20 Concentration in ppm (C;) 200 100 50 The equation of the Probit as a function of E C;T; for carbon monoxide exposure is given as: Y = -37.98 +3.7 x In EC;Ti where C; is the carbon monoxide concentration in ppm and T; is the duration of exposure in minute. A table (Table 1) of transformation from percentage to Probits is given in Appendix A. a) Calculate the Probit of this exposure and determine the number of fatalities. b) Estimate the maximum exposure time that results in no more than 5% of fatalities at an exposure concentration of 2000 ppm. c) Determine the LC50 for a 100-minute exposure period. The TLV (threshold limit value) of carbon monoxide is 25 ppm. A car mechanic is exposed to the following carbon monoxide levels over an 8-hour shift. Exposure duration in minutes (7T;) 72 150 186 Concentration in ppm (C;) 34 40 20 d) Find the time-weighted average TLV. e) Is the car mechanic exposed to a level of carbon monoxide beyond the TLV?
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