Some uranium samples from the natural reactor site described in Module 43-3 were found to be slightly enriched in , rather than depleted. Account for this in terms of neutron absorption by the abundant isotope and the subsequent beta and alpha decay of its products.
The neutron absorption by the abundant isotope of is substantially increased resulting in a faster decay rate for the beta and alpha processes.
Some uranium samples from the natural reactor site were described in Module 43-3.
An isotope of a radionuclide is defined as enriched or abundant relating to various factors that occur in their beta or alpha decay processes. The availability of higher neutrons causes the fission reaction of a radionuclide resulting in their decay and thus, it causes their decay rate to be faster than others. Thus, a nuclide with faster decay is depleted by neutrons while a lower decay rate describes enrichment in the nuclide's nuclei number.
The nuclei of can capture neutrons and beta-decay. With a large amount of neutrons available due to the fission of , the probability for this process is substantially increased, resulting in a much higher decay rate for and causing the depletion of (and relative enrichment of ).
Hence, the neutron absorption by the abundant isotope of is substantially increased resulting in a faster decay rate for the beta and alpha processes.
The neutron generation time in a reactor is the average time needed for a fast neutron emitted in one fission event to be slowed to thermal energies by the moderator and then initiate another fission event. Suppose the power output of a reactor at time is is . Show that the power output a time t later is , where role="math" localid="1661757074768" and k is the multiplication factor. For constant power output, .
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