# Reaction Rate of a Solar Fusion

1. Apr 25, 2012

### Kromboy85

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.