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1 <br /> Volume and Mass Calculation of Dissolved MTBE <br /> iVAN BUSKIRK GOLF COURSE FACILITY <br /> ' 1740 Houston Avenue, Stockton, California <br /> Assumptions: <br /> • The distribution of dissolved MTBE concentrations on the site can be approximated by an elliptical <br /> column, with an average concentration of MTBE (See Figure 2); <br /> _ • The effective porosity of soil at the site is 35% (probably overestimated); and <br /> • Data collected from the grab ground water sampling in February and 08 March 2002 March 2001 <br /> April 2003 ground water sampling event and the grab ground water sampling July 2003 are <br /> t representative of existing site conditions. <br /> I <br /> ' The area of an ellipse column can be calculated by the formula: <br /> At.= nab,where a is the long radius of the ellipse and b is the short radius. <br /> For the estimated ellipse, a= 100 ft,b=35 ft, and thickness c = 70 ft <br /> The average MTBE concentration for the ellipse column is estimated to be 85 micrograms per liter(�Lg/l) <br /> ' These concentrations are equivalent to 0.00000085 g/ml. As a ml is very nearly equivalent to a cubic <br /> centimeter of water,which by definition equals one gram.,these concentrations are nearly unitless numbers <br /> relative to mass calculations. <br /> ' The area of the ellipse column is given by: <br /> ' Ae= ?Lab = 7C(100 ft)(35 ft) = 10,990 ft2 <br /> The volume of the ellipse column is given by: <br /> ' Ve=A,,Hieght= 10,990 ftz x 70 ft =769,300 ft' <br /> Water occupies the porosity in the soil,which is estimated to be 35%of the soil volume,so the total volume <br /> i of water in the saturated portion of the ellipse column is approximated by: <br /> i <br /> ' Ve= (.35)(769,300 ft') =269,255 ft' <br /> One cubic foot of water contains 7.48 gallons,so the volume of the water in the ellipse column is given by: <br /> ' Ve=(269,255 ft3)(7.48 gal/ft')=2,014,027 gallons <br /> One gallon of water equals 3.785 liter of water, so the volume of the water expressed as liters in the ellipse <br /> ' is given by: <br /> Ve ( 2,014,027 gallons) (3.785 liter/gallon) = 7,623,092 liter of water <br /> 1 <br /> ' Advanced GeoEnvironmental,Inc. <br /> 1 <br />