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f <br /> J <br /> �T. 11112002 16: 27 2094671118 AGE STOCKTON PAGE 02102 <br /> Appendix C - Calculation of Dissolved MTBE Volume and Mass <br /> Franklyn Cole Pi-operty- 7505 West Linne Road, Tracy California <br /> Assurzrprions: <br /> • The distribution of dissolved MTBE concentrations on the site can be approximated by an ellipsoid <br /> with an average concentration of MTBE (See Figure 2), <br /> • The effective porosity of soil at the site is 30%. <br /> • Data collected from the June 2002 ground water sampling evert are representative of existing site <br /> conditions- <br /> The volume of the Cole ellipsoid can be calculated by the fornxula- <br /> Ve= rt 4/3 abc/2 , where a is the long radius of the ellipsoid and b is the short radius. <br /> For the estimated ellipsoid, a = 180 ft, b = 80 lft and thiclaiess c : 30 ft <br /> The average MTBB. concentration for the ellipsoid, between MW-1 and MW--3, bounded by wells MW-2, <br /> MW-5 and MW-6, is estimated to be 20.86 micrograrm per liter (pg/l). The total volume of water is aro <br /> assumed concentration. <br /> The volume of the ellipsoid is given.by: <br /> V.=f rc 4/3 abc/2 = n 413 (180 ft)(30 ft)(30ft)/2 = 220,539 f� <br /> Water occupies the porosity in the soil, which is estimated to be 30% of the soil vohune, so the total volume <br /> of water in the saturated portion of the ellipsoid is approximated by- <br /> V,= (0.3)(220,539 ft')=66,161.9 ft3 <br /> One cubic foot of water contains 7.48 gallons, so the voltu=of the water in the ellipsoid is given by: <br /> VC= (66,1.61.9 ft)(7.48 gal/fO)=494,891.3 gallons <br /> One gallon of water equals 3.785 liter of water, so the voltuTre of the water expressed as liters in the ellipsoid <br /> is given by: <br /> V= ( 494,891.3 gallons) (3,785 liter/gallon)=1,873,163 liters of water <br /> Volume to Mass Calculation of Dissolved MTBE <br /> Multiplying the vola x of water as liters by the average MTBE concentration (20.86 gg/l) yields the <br /> approximate mass of MTBE to reniain at the site. <br /> MmTAp = (1,873,163 liter of water) (20.86 Ftg/l) <br /> =39,074,193 aderograms MTBE <br /> • =39,074 rnilllgrarns MTBE <br /> 39 grarr-rc MTBE <br /> 0.039 kg MTBE <br /> Advanced Geo$nviroullielgal,jut. <br />