Amolten salt reactor using thorium-232 as a blanket and uranium-233 as the fuel is being planned to run entirely off of the u-233 produced from the blanket. it is currently being fueled only by u-235. because the th-232 in the blanket can be pumped continuously from the blanket surrounding the core, pa-233 can be extracted before any radiative capture can occur, thereby removing any losses of pa-233 due to neutron absorption. the pa-233 is stored in a container and the u-233 is accumulated outside the core. a. write down the nuclear reactions that will lead to the production of u-233 from the neutron capture of th-232. why can you ignore th-233 for the rest of this problem? b. set up the rate equations you would use to analyze the pa-233 and u-233 content over time. c. how much th-232 would be needed produce 200 kg of u-233 fuel from the blanket in one year? you can keep your answers in terms of number of atoms. q = 1014 neutrons/cm² s oc of th-232 = 8 barns