Determine the macroscopic cross sections for a reactor consisting of molten sodium and ²³⁵ Uranium . The mixture has a density of 1 gm/cm³ and has 3 weight % of uranium  . The cross sections of Uranium are σa = 1.79 b and σf = 1.73 b respectively and the absorption cross section of sodium is σa = 0.0025 b. Calculate the probability of a neutron that causes fission in the reactor. Determine the number of new neutrons  produced by the average neutron when the fission of  Uranium releases 2.89 new neutrons. Calculate the weight percentage of Uranium too. Explain all the steps.

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