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214       Practical Design Calculations for Groundwater and Soil Remediation



                       1 + 0.3τ = 30
                       So,  τ = 97 min = 1.61 h

               (b)  Assuming the bulk density of soil in the reactor is 1.8 g/cm , the
                                                                        3
                   volumetric feeding rate of the soil can be found as:

                            Q soil  = (500 kg/h) ÷ 1.8 kg/L = 278 L/h

                   The minimum reactor size can be found from the definition of
                       the retention time as:

           	                    τ = V/Q = 1.61 h = V/(278 L/h)

                   So, V = 447 L
                   With the soil occupying less than 30% of the total reactor volume,
                       the required reactor volume (V reactor ) can be found as


                            V reactor  = (447) ÷ 30% = 1,490 L = 394 gal







           References

              1.  Johnson, P.C., and R.A. Ettinger. 1994. Considerations for the design of in
                situ  vapor extraction systems: Radius of influence vs. zone of remediation.
                Groundwater Monitoring and Remediation 14 (3): 123–28.
              2.  Johnson, P.C., M.W. Kemblowski, and J.D. Colthart. 1990. Qualitative analy-
                sis for the cleanup of hydrocarbon-contaminated soils by in situ soil venting.
                Groundwater 28 (3): 413–29.
              3.  Johnson, P.C., C.C. Stanley, M.W. Kemblowski, D.L. Byers, and J.D. Colthart.
                1990. A practical approach to the design, operation, and monitoring of in situ
                soil-venting systems. Groundwater Monitoring and Remediation 10 (2): 159–78.
              4.  Kuo, J.F., E.M.  Aieta, and P.H.  Yang. 1991. Three-dimensional soil venting
                model and its applications. In Emerging technologies in hazardous waste manage-
                ment II, ed. D.W. Tedder and F.G. Pohland, 382–400. American Chemical Society
                Symposium Series 468. Washington, DC: ACS.
              5.  Peters, M.S., and K.D. Timmerhaus. 1991. Plant design and economics for chemical
                engineers. 4th ed. New York: McGraw-Hill.
              6.  USEPA.  1991.  Site  characterization  for  subsurface  remediation.
                EPA/625/R-91/026. Washington, DC: Office of Research and Development, US
                EPA.
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