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fundamentals of engineering supplied-reference handbook - Ventech!

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Exposure<br />

Residential Exposure Equations for Various Pathways<br />

Ingestion in drinking water<br />

CDI = (CW)(IR)(EF)(ED)<br />

(BW)(AT)<br />

Ingestion while swimming<br />

CDI = (CW)(CR)(ET)(EF)(ED)<br />

(BW)(AT)<br />

Dermal contact with water<br />

AD = (CW)(SA)(PC)(ET)(EF)(ED)(CF)<br />

(BW)(AT)<br />

Ingestion <strong>of</strong> chemicals in soil<br />

CDI = (CS)(IR)(CF)(FI)(EF)(ED)<br />

(BW)(AT)<br />

Dermal contact with soil<br />

AD = (CS)(CF)(SA)(AF)(ABS)(EF)(ED)<br />

(BW)(AT)<br />

Inhalation <strong>of</strong> airborne (vapor phase) chemicals a<br />

CDI = (CA)(IR)(ET)(EF)(ED)<br />

(BW)(AT)<br />

Ingestion <strong>of</strong> contaminated fruits, vegetables, fish and shellfish<br />

CDI = (CF)(IR)(FI)(EF)(ED)<br />

(BW)(AT)<br />

156<br />

ENVIRONMENTAL ENGINEERING (continued)<br />

where ABS = absorption factor for soil contaminant (unitless)<br />

AD = absorbed dose (mg/[kg•day])<br />

AF = soil-to-skin adherence factor (mg/cm 2 )<br />

AT = averaging time (days)<br />

BW = body weight (kg)<br />

CA = contaminant concentration in air (mg/m 3 )<br />

CDI = chronic daily intake (mg/[kg•day])<br />

CF = volumetric conversion factor for water<br />

= 1 L/1,000 cm 3<br />

= conversion factor for soil = 10 –6 kg/mg<br />

CR = contact rate (L/hr)<br />

CS = chemical concentration in soil (mg/kg)<br />

CW = chemical concentration in water (mg/L)<br />

ED = exposure duration (years)<br />

EF = exposure frequency (days/yr or events/year)<br />

ET = exposure time (hr/day or hr/event)<br />

FI = fraction ingested (unitless)<br />

IR = ingestion rate (L/day or mg soil/day or kg/meal)<br />

= inhalation rate (m 3 /hr)<br />

PC = chemical-specific dermal permeability constant<br />

(cm/hr)<br />

SA = skin surface area available for contact (cm 2 )<br />

Risk Assessment Guidance for Superfund. Volume 1, Human Health Evaluation Manual (part A). U.S. Environmental Protection Agency, EPA/540/1-89/002, 1989.<br />

a<br />

For some workplace applications <strong>of</strong> inhalation exposure, the form <strong>of</strong> the equation becomes:<br />

( α)( BR)( C)( t)<br />

Dosage =<br />

( BW )<br />

where<br />

Dosage = mg substance per kg body weight<br />

α = percent <strong>of</strong> chemical absorbed by the lungs (assume 100% unless otherwise specified)<br />

BR = breathing rate <strong>of</strong> the individual (1.47 m 3 /hr for 2 hr or 0.98 m 3 /hr for 6 hr; varies some with size <strong>of</strong> individual)<br />

C = concentration <strong>of</strong> the substance in the air (mg/m 3 )<br />

BW = body weight (kg), usually 70 kg for men and 60 kg for women<br />

t = time (usually taken as 8 hr in these calculations)<br />

Based on animal data, one may use the above relations to calculate the safe air concentration if the safe human dose (SHD) is known, using the following<br />

relationship:<br />

SHD<br />

C =<br />

( α)(<br />

BR)( t)

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