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Copyright 2006, The Johns Hopkins University, Patrick Breysse, and Peter S. J. Lees. All rights reserved. Use of these materials permitted only in accordance with license rights granted. Materials provided “AS IS”; no representations or warranties provided. User assumes all responsibility for use, and all liability related thereto, and must independently review all materials for accuracy and efficacy. May contain materials owned by others. User is responsible for obtaining permissions for use from third parties as needed.
Industrial Hygiene Concepts
Patrick N. Breysse, PhD, CIHPeter S.J. Lees, PhD, CIH
Johns Hopkins UniversityCopyright 2005, Patrick N. Breysse, Peter S. J. Lees, and The Johns Hopkins University. All rights reserved. Use of these materials permitted only in accordance with license rights granted. Materials provided “AS IS”; no representations or warranties provided. User assumes all responsibility for use, and all liability related thereto, and must independently review all materials for accuracy and efficacy. May contain materials owned by others. User is responsible for obtaining permissions for use from third parties as needed.
Section A
Time-Weighted Averages
Exposure Profile
8:00 9:00 10:00 11:00 12:00 1:00 2:00 3:00 4:00 5:000
2
4
6
8
10
12
14
TIME
CO
NC
ENTR
ATI
ON
Time weighted average(TWA)
Peak
Source: Patrick Breysse and Peter S. J. Lees 4
Time-Weighted Average
Apportions the measured exposure based on the interval of time during which the exposure occurredCan apply to any time period but is typically used for 8-hour periods of timeAlso applies to short term samples(i.e., a STEL is a 15-minute TWA)
5
Calculation of Time-Weighted Averages
General formula:
intervalitheofduration tinterval i the during ionconcentrat c
:where
t
tcTWA
thi
thi
n
1ii
n
1i11
=
=
=
∑
∑
=
=
Continued 6
Calculation of Time-Weighted Averages
Common formula:
Compliance formula:
n21
nn2211
t...ttct...ctctTWA
++++++
=
8hrct...ctctTWA 8hr nn2211 +++
=
7
Example of TWA Calculation
Partial period samples (PEL=12ppm): – 4 hours @ 11ppm– 2 hours @ 14ppm– 2 hours@ 20ppm
hr2hr2hr4ppm20hr2ppm14hr2ppm114hr
TWA
++∗+∗+∗
=
Continued 8
Example of TWA Calculation
hr8ppmhr40ppmhr28ppmhr44TWA ++
=
14ppm8hr
112ppmhrTWA ==
Continued 9
Example of TWA Calculation
Partial period samples: – 1 hours @ 11ppm– 2 hours @ 14ppm
hr2hr1ppm14hr2ppm111hrTWA
+∗+∗
=
Continued 10
Example of TWA Calculation
hr3ppmhr28ppmhr11TWA +
=
13ppm3hr
39ppmhrTWA Hour-3 ==
11
Compliance and the 8-Hour TWA
Partial period samples (PEL=12ppm): – 4 hours @ 11ppm– 2 hours @ 14ppm– 2 hours@ not sampled
hr2hr2hr4ppm0hr2ppm14hr2ppm114hr
TWA
++∗+∗+∗
=
Continued 12
Compliance and the 8-Hour TWA
hr8ppmhr0ppmhr28ppmhr44TWA ++
=
9ppm8hr
72ppmhrTWA Hour-8 ==
13
Section B
Exposure Limits for Mixtures
Exposure Limits (ELs) for Mixtures
Exposure limits set for single substances, but multiple simultaneous exposures is the industrial normCombined exposure limit can be calculated if:– Components have similar
toxicological effects– Combined effect is assumed to be
additive15
Calculating EL for Mixtures
Mixture in compliance if:
substance for limit exposureELionconcentratTWA hour-8 measuredC
:where
1.0ELC...
ELC
ELC
n
n
2
2
1
1
==
<+++
16
Example of EL for Mixtures
Mixture:– Methyl isopropyl ketone @ 100 ppm
(TLV=200ppm)– Methylcyclohexane @ 300ppm
(TLV=400ppm)– Both TLVs set for protection against
anesthetic (CNS) effects
Continued 17
Example of EL for Mixtures
compliance in NOT is mixture this so 1.0, than less not is which25.1
75.05.0400ppm300ppm
200ppm100ppm
=
+=+
18
Section C
Exposure Limitsfor Extended Work Shifts
EL for > 8-Hour Work Shifts
Many workers work longer than eight hours per day and 40 hours per weekApply adjustments to ELs with cautionShould not be used to justify very high exposures as “allowable” where exposure periods are short
Continued 20
EL for > 8-Hour Work Shifts
Adjustments don’t have the benefit of historical use and long term observation – Medical supervision during early
adjustment use advisable
Continued 21
EL for > 8-Hour Work Shifts
In simplest form, dose (concentration x time) is held constant and new allowable concentration is calculated:
Other more complicated adjustment calculations can account for pharmacokinetic behavior
Xhrallowed8hrallowed TCTC =
22
Example EL for >8-Hour Work Shifts
What is the EL for benzene over a12-hour shift given an 8-hour EL of 1.0ppm?
0.67ppmX12Xppmhr8.0ppmhr
12hrXppm8hr1.0ppmTCTC Xhrallowed8hrallowed
==
∗=∗=
23