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Inventory of Cs-137

  1. Dec 16, 2011 #1
    Problem:
    Reactor operating at 2300 MW with specific power of 24.42 MW/MT, was shutdown on 1 January 2009. The reactor was fueled with 93.3 MT of uranium with initial enrichment of 3.8% U-235. At shutdown, core burnup 23.3 GW-day/MT.
    Question:
    1.What was inventory of Cs-137 when the reactor was shutdown?
    2.How much Cs-137 will be left on 4 March 2009?

    Actions:
    Honestly, i have hard time understanding what is going here.
    1.I thought that this is how many moles of the fission product Cs-137 does this reactor produce per day?
    2.How much left is N(t)=N0*(0.5)t/t0.5? I need to plug in t here 4 March 2009 - 1 January 2009. Right?
    Steps:
    1. 1 mole fissioned =223 MWD
    2300/223= 10.31 moles of fissioned per day
    6.19 atoms of Cs-137 per 100 fissions.
    10.31*0.00619=.6384304 moles of Cs-137 produced per day.
    A=λN=(ln2)(.60222*1024)*(1/(365*24*3600*30.07))
    Am i on the right track?
    Thanks in advance.
     
  2. jcsd
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