1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Decay chain (Bi -> Po -> Pb)

  1. Dec 1, 2009 #1
    Hi I'm trying to do a question on nuclear decay chains. The question is:

    Bi-210 decays to Po-210 by beta decay (half life = 7.2 days), and this decays by alpha decay to Pb-208 (half life = 200 decays). If A substance is initially pure Bi-210, when does the alpha emmision peak?

    So far Ive got
    Bi(0)=1, Po(0)=Pb(0)=o

    Bi(t) = Bi(0)exp(-Lt)
    (L being the decay constant, t_1/2 = ln(2)/L)

    and
    dPo(t)/dt = LBi(t) -L'Po(t)

    so
    dPo(t)/dt = L(Bi(0)exp(-Lt)) -L'Po(t)


    Obviously I just need to find when Po(t) is at a maximum, to find the corresponding maximum in alpha emmision, but I can't solve for Po(t). (I tryed dPo/dt = 0, but i still don't have an answer for Po(t) )


    can anyone help?
     
    Last edited: Dec 1, 2009
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Decay chain (Bi -> Po -> Pb)
  1. Decaying particle (Replies: 1)

Loading...