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Rate of nuclear fusion

  1. Feb 21, 2016 #1
    Hello everyone,

    I have a question about nuclear fusion.
    Deuterium-Tritium fusion generates 3.4 * 1014 J/kg when you have a
    mixture of around 400 grams of deuterium and 600 grams of tritium.
    My question is: what is the rate at which this fusion reaction takes place?
    Is there a formula for the fusion rate and what is the reaction speed at, for example, 100 million Kelvin?
    I am in high school and I am doing research on nuclear fusion. I was able to calculate the amount of energy released per kg, but I don't know how to calculate the rate at which this reaction takes place depending on the temperature (in kg per m^3 per second).
     
  2. jcsd
  3. Feb 21, 2016 #2

    mfb

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    Staff: Mentor

  4. Feb 21, 2016 #3
    I have read the Wikipedia page, but I don't know for sure if I fully understand how the formula works.
    Could you please give an example of a calculation?
     
  5. Feb 21, 2016 #4

    mfb

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    If you know densities and temperature, you can just plug in numbers.
    Let's say we have 1015/m3 D and 1015/m3 T at a temperature of 100 million K. The reactivity rate, from the plot, is about 10-22 m3/s.
    Multiply everything together, and you get 1015/m3 * 1015/m3 * 10-22 m3/s = 108/(m3*s) reactions. Not enough for a reactor, but I just made up those plasma density numbers.
     
  6. Feb 21, 2016 #5
    Thanks for the explanation. I understand it now.
     
  7. Feb 22, 2016 #6
    Is there a formula or a website where you can find the number density of plasma?
     
  8. Feb 22, 2016 #7

    mfb

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    You can check the websites, publications and other pages of/about various reactors. You are supposed to do the research.
     
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