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Reaction Rate of a Solar Fusion

  1. Apr 25, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the reaction rate of a star purely of Hydrogen at temperature of 15MK, density of 150gm/cm^3, most of the reactions take place at R0=0.25R. Each reaction released energy of 25MeV

    2. Relevant equations
    This is the part I'm lacking. I've got the number of protons in the sun calculated by;
    VolSun = (4/3)*pi*(0.25R)^3
    Divided that by molar mass of Hydrogen (1) and left with number of moles of Hydrogen, thus Proton in the sun at its core.

    3. The attempt at a solution

    So from there, I went to ORNL and got the reaction rate data for H1(P,E+NU)H2 reaction
    at 15MK which is about RDensity = 50*10^-20 (cm^3*moles^-1*s^-1)

    Now, I need to find <σv> which is the reaction rate.

    I tried using <σv> = RDensity * NH(Number of moles of Hydrogen) / Volume
    Which cancels out all the units and leaves me with s^-1

    But when I take that number, multiply by 1.6*10^-19 to account going from MeV to Joules and calculate the power and thus, flux, it comes out to be a very small number which makes me feel like I'm missing something big here.
  2. jcsd
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