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Astrophysics: Number of pp-reactions occuring in the Sun

  1. Nov 5, 2013 #1
    1. The problem statement, all variables and given/known data
    Calculate the number of proton-proton reactions that occur in the Sun each second. For simplicity consider only the energy generation produced by the PPI chain. Consider that the Sun produces its energy in a steady state from the pp chain.


    2. Relevant equations
    4H[itex]\rightarrow[/itex]He+2e[itex]^{+}[/itex]+2[itex]\nu_{e}[/itex]+2[itex]\gamma[/itex]
    [itex]\frac{N_{ix}}{\Delta t}[/itex] = n[itex]_{i}[/itex]σv <-- this equation was given in class as the reactions per time.


    3. The attempt at a solution
    I'm pretty sure you need to use the equation that was given in class however I'm not sure. The textbook gives that σ [itex]\propto[/itex] 1/E so would it help to find the energy produced in the PPI chain to find σ? As for n[itex]_{i}[/itex] and v I'm not sure what those are or how to find them.
     
  2. jcsd
  3. Nov 5, 2013 #2

    mfb

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    2016 Award

    Staff: Mentor

    What you wrote is the sum of multiple reactions, not a single reaction, so it does not have a well-defined cross-section.

    You need some data about the sun. One option is the microscopic way - find temperature, density, cross-sections and so on, and calculate the rate. I don't think you are supposed to do that, however. There is also the macroscopic way, where "steady state" comes into play: how much energy does the sun lose due to radiation? What is the energy released per pp-reaction (including follow-up reactions, but excluding neutrinos)?
     
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