Chapter 38: Problem 12
Why are fission fragments necessarily radioactive?
Chapter 38: Problem 12
Why are fission fragments necessarily radioactive?
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Get started for freeIs \(^{238} \mathrm{U}\) fissionable? Is it fissile? Explain the distinction.
A buildup of fission products "poisons" a reactor, dropping the multiplication factor to \(0.992 .\) How long will it take the reactor power to decrease by half, assuming a generation time of \(0.10 \mathrm{s} ?\)
(a) Example 38.6 explains that the number of fission events in a chain reaction increases by a factor \(k\) with each generation. Show that the total number of fission events in \(n\) generations is \(N=\left(k^{n+1}-1\right) /(k-1) \cdot(b)\) In a typical nuclear explosive, \(k\) is about 1.5 and the generation time is about \(10 \mathrm{ns}\). Use the result from (a) to calculate the time for all the nuclei in a 10 -kg mass \(^{235} \mathrm{U}\) to fission. (Hint: Sum a series in part (a), and neglect 1 compared with \(N\) in part (b).)
You're assessing the safety of an airport bomb-detection system in which neutron activation of the stable nitrogen isotope \(\frac{15}{7} \mathrm{N}\) turns it into unstable \(^{\text {is }}\) N. The \(N\) - 16 decays by beta emission with 7.13-s half-life. How long after activation will the \(\mathrm{N}-16\) activity have dropped by a factor of 1 million?
How do (a) the number of nucleons and (b) the nuclear charge compare in the two nuclei \(_{17}^{35} \mathrm{Cl}\) and \(_{19}^{35} \mathrm{K} ?\)
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