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48 lines
2.3 KiB
TeX
48 lines
2.3 KiB
TeX
\section*{Problem 5}
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\subsection*{Part A}
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Xenon-135 is primarily produced in a reactor as a fission product or by the
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decay of Iodine-135, which is a direct product of uranium fission. Xenon-135
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decays naturally over time or can absorb neutrons to become other isotopes with
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a much smaller neutron cross section.
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\subsection*{Part B}
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Xenon-135:
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The second reactor will have a lower concentration of xenon-135 in the reactor
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core. Xenon-135 will be generated by the decay of iodine-135, but will also
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decay naturally to other elements over time as well as being removed through
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neutron absorption. If the reactors are shut down after a year, the xenon-135 in
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both will spike with the full power reactor having a larger spike, and it will
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take longer for the 100\% power reactor to be able to be restarted until the
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extra xenon-135 has had time to decay away.
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Samarium-149:
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The second reactor will also have a lower concentration of samarium-149 for a
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similar reason as the xenon-135 case. There will be less fissile products to
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decay into samarium-149 in the low power reactor. If the reactors are powered
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off, however, both reactors will develop additional samarium-149 concentrations
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that will not decay away naturally as samarium-149 is stable. It will take more reactivity
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to restart the full power reactor from shutdown as the samarium-149
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concentration will be much higher than the low power reactor.
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\subsection*{Part C}
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Xenon is the more challenging poison to deal with. First, xenon has a much
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larger cross section and has a more significant effect on reactivity than
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samarium. Second, xenon-135 is not a stable element, and thus has decay effects
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when the reactor is shut down. As such, the amount of time since shutdown is an
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important factor to consider when restarting a reactor with consideration to
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xenon. A miscalculation on xenon concentration can lead to a too-large insertion
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of reactivity on start-up, which doesn't exist in the same way with samarium as
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samarium doesn't decay during shutdown. Finally, xenon is a much faster response
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dynamically compared to samarium. Xenon-135 can quickly change concentrations
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in hours, while samarium-149 concentrations can take weeks to change
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significantly. Human operators are much more likely to be able to cope with the
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longer time constant poison versus misjudging the small time constant effects of
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xenon.
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