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Suppose the difference in rest energy of the neutron and proton were Qn = (mn − mp)c2 = x MeV instead of Qn = 1.29MeV, with all other physical parameters unchanged. Estimate Ymax, the maximum possible mass fraction in 4He, assuming that all available neutrons are incorporated into 4He nuclei

Suppose the difference in rest energy of the neutron and proton were Qn = (mn − mp)c2 = x MeV instead of Qn = 1.29MeV, with all other physical parameters unchanged. Estimate Ymax, the maximum possible mass fraction in 4He, assuming that all available neutrons are incorporated into 4He nuclei

Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter25: Nuclear Chemistry
Section: Chapter Questions
Problem 73SCQ
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Suppose the difference in rest energy of the neutron and proton were Qn = (mn − mp)c2 = x MeV instead of Qn = 1.29MeV, with all other physical parameters unchanged. Estimate Ymax, the maximum possible mass fraction in 4He, assuming that all available neutrons are incorporated into 4He nuclei. Hint: Compare the new rest energy of the neutron to the electron and consider how that would impact the decay of neutrons.  Will free neutrons decay at all in this scenario?  If the neutron decay is negligible, then the ratio of protons to neutrons to protons will remain the same as it was at the time of freeze-out (for a given Qn).

 

Value: x=0.158 MeV

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