A method called neutron activation analysis can be used for chemical analysis at the level of isotopes. When a sample is irradiated by neutrons, radioactive atoms are produced continuously and then decay according to their characteristic half-lives. (a) Assume one species of radioactive nucleiis produced at a constant rate R and its decay is described by the conventional radioactive decay law. Assuming irradiation begins at time t = 0, show that the number of radioactive atoms accumulated at time t is                              N = (R)/(λ)((1 - e-λt))(b) What is the maximum number of radioactive atoms that can be produced?

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A method called neutron activation analysis can be used for chemical analysis at the level of isotopes. When a sample is irradiated by neutrons, radioactive atoms are produced continuously and then decay according to their characteristic half-lives. (a) Assume one species of radioactive nuclei
is produced at a constant rate R and its decay is described by the conventional radioactive decay law. Assuming irradiation begins at time t = 0, show that the number of radioactive atoms accumulated at time t is
                              N = (R)/(λ)((1 - et))
(b) What is the maximum number of radioactive atoms that can be produced?

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