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<br /> Adsorbed Mass-Volume Calculations
<br /> SIERRA LUMBER- 375 West Hazelton Avenue, Stockton, CA
<br /> Assumptions
<br /> • Utilizing Figures 7, 8 and 9, the mass distribution of total petroleum hydrocarbon concentrations on the site
<br /> can be approximated by four coned elliptical sequences (contour sequences), with the inner sequence
<br /> containing the highest TPH-g concentrations and the outer sequence containing the lowest
<br /> The area of an coned ellipse can be calculated by the formula
<br /> V«= (long dnarn.)(short dnam)(0 7854)(1/3 height), where "a" is the long diameter of the coned
<br /> ellipse,"b"is the short diameter and"c" is the height
<br /> I1) For the estimated inner sequence (10000 ppm contour line) a z 21 ft, b = 17 ft,and c = 10 ft
<br /> 2) For the estimated umer-muddle sequence(5000 ppm contour line) a = 30 ft,b = 25 ft, and c z 13 ft
<br /> 3) For the estimated muddle sequence(1000 ppm.contour line) a = 42 ft,b = 35 ft, and c = 16 ft
<br /> 4) For the estimated outer-middle sequence(100 ppm contour line) a = 57 ft,b = 45 ft, and c = 19 ft
<br /> 5) For the estimated outer sequence(ND contour line- 50 ppm contour line) a = 67 ft,b = 55 ft, and c = 25 ft
<br /> The average TPH-g concentration between each coned elliptical sequences was estimated by adding two sequential
<br /> contour intervals and dividing by two The average contour sequences(reported as milligrams per kilogram,mg/kg)were
<br /> as follows from highest to lowest 14150 mg/kg,7500 mg/kg,3000 mg/kg, 550 mg/kg and 50 mg/kg,respectively These
<br /> concentrations are equivalent to 0 014150, 0 0075, 0 003, 0 00055 and 0 00005, respectively (i a 10000 mg/kg-
<br /> log/1000g -1/100 -0 01)
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<br /> 1) Approximate volume of petroleum hydrocarbon impacted soil in unser sequence (V,)
<br /> V,=(21 ft)(17 ft)(0 7854)(1/3 10 ft) -4 935 f13(lyd'/27ft3) = 34 6 yd3
<br /> Convening 34 6 yd'to cm3(i a lyd3=764,555crn')yields approximately 26,465,604 cm3 Using 15 g/crr? as the weight
<br /> of soil, the total weight of contaminated soil is approximately 39,698,406 g
<br /> Using the 14,150 mg/kg as the"average" concentration of gasoline in the inner sequence, the volume of gasoline is
<br /> weight of soil • average concentration -; 39,680,405 g •0 014150=561,732 g of gasoline
<br /> Converting grams of gasoline to volume of gasoline(gallons)using density of gasoline to equal 0 74
<br /> 561,478 g of gasoline—0 74 g/cm'=759,098 cm'
<br /> 758,754 cm3 • (I gallon--3,785 cm3) = 201 gallons of gasoline
<br /> 2) Approximate volume of petroleum hydrocarbon impacted soil in miner-muddle sequence(V,,,,)
<br /> V,,=(30 ft)(25 ft)(0 7854)(1/313 ft) -0 2,553 ft' (lyd'/27ft3)= 94 5 yd3
<br /> The volume of the inner-middle sequence(V,,,,)should be subtracted from the overall volume of the inner sequence(V,)
<br /> V,ti, =V,,,,.V, -+94 5 yd3-34 6 yd3 -4 59 9 yd3
<br /> The volume of the inner middle sequence can be calculated by the method shown above Converting 59 9 yd3 to cmc
<br /> Advanced GeoEnnronmental,Inc
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