A deuteron, 21H, is the nucleus of a hydrogen isotope and consists of one proton and one neutron. The plasma of deuterons in a nuclear fusio

A deuteron, 21H, 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 2.94×10^8 K . What is the rms speed of the deuterons?

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  1. Answer:

    1917723.40119 m/s

    Explanation:

    m = Mass of deuteron = [tex](1.637+1.675)\times 10^{-27}=3.312\times 10^{-27}[/tex]

    k = Boltzmann constant = [tex]1.381\times 10^{-23}\ J/K[/tex]

    T = Temperature = [tex]2.94\times 10^8\ K[/tex]

    RMS velocity is given by

    [tex]V_r=\sqrt{\dfrac{3kT}{m}}\\\Rightarrow V_r=\sqrt{\dfrac{3\times 1.381\times 10^{-23}\times 2.94\times 10^8}{3.312\times 10^{-27}}}\\\Rightarrow V_r=1917723.40119\ m/s[/tex]

    The RMS velocity of the deutrons is 1917723.40119 m/s

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