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Half Lives and Radioactive Decay

  1. Nov 8, 2012 #1
    1. The problem statement, all variables and given/known data

    2. A meteor contains 6kg of molybdenum-93. Calculate:
    a) The number of molybdenum molecules currently present in the meteor.
    b) How long ago the meteor struck the earth if the original amount contained 20kg of molybdenum.


    2. Relevant equations
    Answers:
    2. a) 3.884x1022 molecules b) 6079.3 yrs



    3. The attempt at a solution
    Only topic i dont understand, exam tomorrow and i have no idea where else to go !

    Any help is appreciated :)

    (The answers were given, i need help working how to solve!)
     
    Last edited: Nov 8, 2012
  2. jcsd
  3. Nov 8, 2012 #2
    Formulas:
    N = No e-γt
    where the decay constant, γ(gamma), and T1/2 are related by
    γ[itex]\:[/itex]T1/2 = ln(2)
     
  4. Nov 8, 2012 #3
    Well...all you need to do is solve for t.
    3.
    Now N=0.1*No
    0.1*No = No*e-γt
    0.1=e-γt
    ln 0.1=-yt
    t=(ln 0.1)/-y=(ln 0.1)/-(ln2/T_1/2)=(ln 0.1)/-(ln2/3.76x10^5 a)=1249044.964 a≈1.25 million years
     
  5. Nov 8, 2012 #4
    Thank you both so much, understand 1 and 3 easily now. Question 2 is giving me grief!
     
  6. Nov 8, 2012 #5
    Are you sure about a? 4 thousand molecules sounds very low.
     
  7. Nov 8, 2012 #6
    I am sorry, I didn't quite catch that.
     
  8. Nov 8, 2012 #7
    The answer to a) has been given as above, which is about 4000 molecules.
     
  9. Nov 8, 2012 #8
    copy pasting generally doesn't paste superscripts properly, so I would assume it's 1022
     
  10. Nov 8, 2012 #9
    Maybe, but even taking that into account, still seems low.
     
  11. Nov 8, 2012 #10
    3.884*1022 is low?
     
  12. Nov 8, 2012 #11
    Yes. How many molecules are there in a mole
     
  13. Nov 8, 2012 #12
    Not sure if this is correct, but I got N=n*N_A=(m/M)*N_A=(6.0*10^3g/92.90681261g/mol)*6.0221327*10^23 1/mol=3.88914...*10^25
    ,where N_A=Avogadro constant.
    If you understood this, you can solve b easily, right?
     
    Last edited: Nov 8, 2012
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