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Question related to rate of decay of unstable isotopes

  1. Oct 31, 2012 #1
    1. The problem statement, all variables and given/known data
    Two unstable isotopes A and B and a stable isotope C have the following decay rates per atom present:

    Let rate = k,
    A > B, k=k1=3 atoms/sec
    A > C, k=k2=1 atom/sec
    B > C, k=k3=2 atoms/sec

    Intially, there are N0 atoms of species A present, but none of other two types. Using Laplace transforms, find the number of atoms of type C present at a later time t


    2. Relevant equations



    3. The attempt at a solution

    dA/dt = -kA, A(0,t) = N0
    1/A dA = -kdt
    ∫1/A dA = ∫-kdt
    ln A = -kt + C
    A = e-kt+C
    A = De-kt
    A = N0e-kt

    then... i dont know....

    Please help.. thank you!!!
     
  2. jcsd
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