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Homework Help: Help with Diffusion

  1. Oct 4, 2007 #1
    1. The problem statement, all variables and given/known data

    We have a tube filled with water where there is a plug of substance at one closed end. Diffusion constant of this substance is known and its concentration at t=0 is given as:
    Co(x)= 10mg/ml if x<= 100mm
    Co(x)= 0mg/ml if x> 100mm
    Distribution of particles from the plug in 1-D is given as:

    C(x,t)=1/(4piDt)^(1/2) * int{ Co(x') e^[-(x-x')^2/(4Dt)] dx'}

    Write an expression for the concentration of the substance (in integral form) as seen 300mm from the closed end.

    3. The attempt at a solution
    I assume that x=100mm and x'=300mm
    I really don't know what to do next, need help.
  2. jcsd
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