Related to Nuclear Engineering also
Question (1) Consider the following radioactive decay chain of fission products,...
Question (1) Consider the following radioactive decay chain of fission products, where nuclide D is stable. AO, BO, and Do are the constant fission rates of production (nuclides/s), and λΑ, AB and AC are the l decay constants. None of the fission products undergo any nuclear reactions other than the radioactive decay shown. (a) Write the set of differential equations describing the radioactive decay chain in terms of the above parameters, and the number of nuclei NA, NB, NC and ND at time t. (Do not solve the differential equations.) (b) Assume that at some time t, the fission process was terminatéd; that is, the constant fission rates of production became zero. At that time, the number densities of the fission products A, B, C, and D were NTA, NTB, NTC, and NTD respectively. At a very long time (assume infinity) in the future, in terms of NTA, NTB, NTC, and NTD, what would the final number densities of the four nuclides be?