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The radioactive isotope 288Pa(ti/2 27.0d) 233 can be produced following neutron capture by 232TH. of 232 Th. in The resulting 23*Th decays to 23*Pa

The radioactive isotope 288Pa(ti/2 27.0d) 233 can be produced following neutron capture by 232TH. of 232 Th. in The resulting 23*Th decays to 23*Pa with a half-life of 22.3 min. Neutron capture in 1 the neutron flux from a typical reactor, produces 233 Th at a rate of 2.0 x 10s-1. (a) At the nd of Ihof irradiation, what are the resulting activities of 233 Th and 233 Pa? (b) After 1h of irradiation, the sample is placed in storage so that the 233 Th activity can decay away. What are the 233 Th and **Pa activities after 24h and after 48h of storage? (c) The 233 Pa decay results in 233U, which is itself radioactive (t1/2 = 1.6 x 10y). After the above sample has been stored for 1 year, what is the 25U activity? (Hint: It should not be necessary to set up an additional differential equation to find the 233U activity.)

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