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Calculation and Use of First-Order Rate Constants for Monitored ...

Calculation and Use of First-Order Rate Constants for Monitored ...

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Bulk Attenuation <strong>Rate</strong> (k) as a Function <strong>of</strong> Biodegradation <strong>Rate</strong> (λ) λBulk attenuation rates <strong>for</strong> first-order biodegradation rates within the range 0 to 0.5/year were estimated <strong>and</strong> a plot <strong>of</strong> k versus λ wasprepared to illustrate the impact <strong>of</strong> this parameter on the overall attenuation rate. For this analysis a longitudinal dispersivity <strong>of</strong> <strong>and</strong> aretardation factor equal to 1 (no sorption) were assumed. As shown in the following figures, with all the other parameters beingconstant, the bulk attenuation rate increases as the biodegradation rate increases.10l =0 y =12.26e -0.0031xConcentration (mg/L)5l =0.1/yr y =11e -0.0035xl =0.3/yr y =9.1343e -0.0043xl =0.5/yr y =7.9563e -0.0051xl =1/yr y =6.5575e -0.0071xl =3/yr y =5.9249e -0.0137x00 500 1000 1500 2000 2500 3000Distance from source (ft)1.6Bulk rate ( k per yr)1.41.210.80.60.40.200 12 3 4Biodegradation rate ( per yr)18

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