Diffusion of a pollutant into a semi-infinite soil layer can be described by the following differential equation, d²C (1) = kC dz? where D is the effective diffusion coefficient of the pollutant in the soil, and the k is the first-order decay rate of the pollutant with the soil column. If the pollutant concentration at the surface is fixed at Co, below what depth will the concentration of the pollutant be less than 10% of the surface concentration?

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.8P
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Diffusion of a pollutant into a semi-infinite soil layer can be described by the following
differential equation,
d²C
(1)
= kC
dz?
where D is the effective diffusion coefficient of the pollutant in the soil, and the k is the first-order
decay rate of the pollutant with the soil column. If the pollutant concentration at the surface is fixed
at Co, below what depth will the concentration of the pollutant be less than 10% of the surface
concentration?
Transcribed Image Text:Diffusion of a pollutant into a semi-infinite soil layer can be described by the following differential equation, d²C (1) = kC dz? where D is the effective diffusion coefficient of the pollutant in the soil, and the k is the first-order decay rate of the pollutant with the soil column. If the pollutant concentration at the surface is fixed at Co, below what depth will the concentration of the pollutant be less than 10% of the surface concentration?
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