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C U <br /> MASSNOLUME ASSUMPTIONS AND CALCULATIONS <br /> CAssumptions: E <br /> Utilizing Figures 5 and 6,the mass distribution of total petroleum hydrocarbon concentrations on the site can <br /> be approximated by a coned elliptical structure. j <br /> The area of an coned ellipse can be calculated by the formula: <br /> t <br /> Vu= (long diam.)(short diam.)(0.7854)('/n height), where "a" is the long diameter of the coned <br /> ellipse,"b"is the short diameter and"c"is the height. <br /> 1) For the estimated volume: a = 16',b= 12',and c = 7' <br /> An average TPH-g concentration of 2,252 mg/kg was utilized for mass/volume calculations. This concentration is <br /> equivalent to 0.002252 grams per ml,respectively.As a gas m]is very nearly equivalent to a cubic centimeter of water, <br /> which by definition equals one gram,this concentrations is nearly a unitless number. <br /> l) Approximate volume of petroleum hydrocarbon impacted soil(V): <br /> V 16fr <br /> �——( )(12 ft)(0.7854)(%,7 ft) .t 528 ft' = 19.5 yd' <br /> C Subtracting the volume of impacted soil already removed during excavation activities yields(V=): <br /> Vz=length x width x height=3 ft x 8ft x 8ft= 192 ft'=7 yd <br /> Volume of remaining impacted soil(V)= V,-VZ= 19.5 yd -7 yd'= 12.5 yd <br /> Converting 12.5 yd3 to cm'yields approximately 9,544,399 cm3.Using 1.5 g/cm3 as the weight of soil,the total weight <br /> of contaminated soil is approximately 14,316,599 g. <br /> Using 2,252 parts per million(mg/kg)as the"average"concentration of gasoline in the impacted area,the volume of <br /> gasoline is: <br /> 1.� <br /> weight of soil• average concentration -# 14,316,599 g •0.002252=32,241 g of gasoline <br /> f Converting grams of gasoline to volume of gasoline(gallons)using density of gasoline to equal 0.75: <br /> i <br /> 32,241 g of gasoline=0.75 cm'/g=42,988 cm' <br /> t 42,988 cm3allon(I +3,785 cm' <br /> g ) =11.4 gallons of gasoline <br /> i <br /> G <br /> C <br /> �' f <br />