Let the total number of neutrons be Nn, the numberof protons be Np, and N Nn Np. Let the

Chapter 16, Problem 42

(choose chapter or problem)

Let the total number of neutrons be Nn, the numberof protons be Np, and N Nn Np. Let the fractionsbe Xi Ni/N. (a) If the probability of a particle havingenergy E is proportional to the Boltzmann factor,exp(E/kT), show that Xn/Xp exp(1.3 MeV/kT).(b) For what temperature was the ratio of protons toneutrons in the universe 6.7? (c) What is the kineticenergy associated with this temperature? Is there anythingnoteworthy about this temperature?

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