Naturally found uranium consists of 99.274%238 U, 0.720%

Chapter , Problem 21.91

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Naturally found uranium consists of 99.274%238 U, 0.720% 235 U, and 0.006% 233 U. As we have seen, 235 U is the isotope that can undergo a nuclear chain reaction. Most of the 235 U used in the first atomic bomb was obtained by gaseous diffusion of uranium hexafluoride, UF61g2. (a) What is the mass of UF6 in a 30.0-L vessel of UF6 at a pressure of 695 torr at 350 K? (b) What is the mass of 235 U in the sample described in part (a)? (c) Now suppose that the UF6 is diffused through a porous barrier and that the change in the ratio of 238 U and 235 U in the diffused gas can be described by Equation 10.23. What is the mass of 235 U in a sample of the diffused gas analogous to that in part (a)? (d) After one more cycle of gaseous diffusion, what is the percentage of 235 UF6 in the sample?

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