A nuclear (fission) reactor has a design capacity to produce 800 MW electricity. It has been operating at 91% of its design capacity for four years. The steam turbine has an efficiency of 33%. 95% of the heat generated in the is gained by the steam which drives the generator, the remain 5% is lost in the core and the containment building. The energy produced per fission of U235 isotopes is equivalent to 200 MeV. The nuclear uranium fuel at the start of the reactor has 5% enriched U235 isotopes (4.94 mass%) and the final mass of the U235 at the end of four-year operation is 1.94%

Calculate the amount of U235 used up during the operation of the reactor and the total mass of the uranium (U235 + U238) used at the start-up of the reactor. What is the burn-up mass in kilograms in the reactor during the entire operation of the reactor.

If 30% of the fissions is bred to Pu239 what would be the total mass of uranium is required at the start-up of the reactor.

1 Mev = 1.6022x10^-11 J; 1 amu (atomic mass unit)= 1.660510^-27 kg

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