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Homework Help: Rutherford and nuclear transmutation

  1. Oct 4, 2011 #1
    Hi guys, got another problem here. This one's about nuclear transmutation; Would really appreciate help!

    1. The problem statement, all variables and given/known data
    Consider the reaction

    a + 14N7 -> 17O8 + X.

    a) Identify X.

    b) The following data are available:

    Rest mass of a: 3.7428 GeV c^-2
    Rest mass of 14N7: 13.0942 GeV c^-2
    Rest mass of 17O8 + X = 16.8383 GeV c^-2

    Initial KE of the alpha particle is 7.68 MeV

    2. Relevant equations

    1/2mv^2.

    3. The attempt at a solution

    I think I'm supposed to convert rest mass to kilograms, but I don't quite know how. The above data multiplied by the speed of light squared? o_O

    If I know that, I think the rest of the problem should be pretty straightforward.
     
  2. jcsd
  3. Oct 5, 2011 #2
    Do they want you to identify the energy of the emitted X or just the identity of the emitted X? If the latter, just total the protons and neutrons on each side. It might help to write it as 22α + 147N -> 178O + X
     
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