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Molecular Kinetic Energy

  1. Feb 18, 2013 #1
    1. The problem statement, all variables and given/known data
    A deuteron, , is the nucleus of a hydrogen isotope and consists of one proton and one neutron. The plasma of deuterons in a nuclear fusion reactor must be heated to about 3.01×108 . What is the rms speed of the deuterons?

    What would the temperature of the plasma be if the deuterons had an rms speed equal to 9.0×10−2 ?


    2. Relevant equations

    Vrms = √(3KT/m)

    1/2mv2 = 3/2KT

    mVrms2/(3K) = T


    3. The attempt at a solution

    I went over this about 100 times before giving up. The answer I know is 5.9x1010K but even with that I can't get the answer. It is driving me sort of crazy so I figured I would ask if someone could help. The K I am using is 1.38x10-23J/K and the m is 3.34x10-27kg

    help!
     
  2. jcsd
  3. Feb 19, 2013 #2

    ehild

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    Use units, please. In what unit the rms speed has to be 9.0×10−2 and temperature 3.01×108?

    ehild
     
  4. Feb 19, 2013 #3
    Speed = m/s and temp = K
     
  5. Feb 19, 2013 #4

    ehild

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    Have you copied the rms speed correctly? 9.0x10-2 m/s is unrealistic. Even at room temperature, the rms speed is about 2000 m/s for the deuteron.

    ehild
     
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