N235 R N238UFo where N235UF is the number of 235UF6 molecule

N235 R= N238UFo where N235UF is the number of 235UF6 molecules, and N23 U, is the number of 238UFs molecules. UF6 The molecular ratio Rout exiting a single enrichment stage is related to the molecular ratio Rin of the input by Rout = Rin where is the separative capacity of a single enrichment stage. Note that is dimensionless. Assume that is a constant regardless of the stage. The separative capacity of a single stage in gaseous diffusion enrichment is = 1.004; for gas centrifuge enrichment, the separative capacity is = 1.16. For (a) gaseous diffusion and (b) gas centrifuge enrichment, how many stages are required to (i) enrich natural uranium to 3.5%; (ii) enrich 3.5% uranium to 20%; and (iii) enrich 20% uranium to 93%?

Solution

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