Naturally found uranium consists of 99.274% 238U, 0.720% 235U, and 0.006% 233U. As we have seen, 235U is the isotope that can undergo a nuclear chain reaction. Most of the 235U used in the first atomic bomb was obtained by gaseous diffusion of uranium hexafluoride, UF6(g). (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 235U 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 238U and 235U in the diffused gas can be described by Equation 10.23 (shown in the attached picture). What is the mass of 235U 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 235UF6 in the sample? Now suppose that the UF6 is diffused through a porous barrier and that the change in the ratio of 238 Uand 235 U in the diffused gas can be described by the equation3RT/M13RT/M2What is the mass of 235 U in a sample of the diffused gasM2M1%3D%3DT2Urms2analogous to that in part A?AZ?mass of 246 U =

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Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Naturally found uranium consists of 99.274% ²³⁸U, 0.720% ²³⁵U, and 0.006% ²³³U. As we have seen, ²³⁵U is the isotope that can undergo a nuclear chain reaction. Most of the ²³⁵U used in the first atomic bomb was obtained by gaseous diffusion of uranium hexafluoride, UF₆(g).

(a) What is the mass of UF₆in a 30.0-L vessel of UF₆ at a pressure of 695 torr at 350 K?

(b) What is the mass of ²³⁵U 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 ²³⁸U and ²³⁵U in the diffused gas can be described by Equation 10.23 (shown in the attached picture). What is the mass of²³⁵U 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 of²³⁵UF6 in the sample?

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 the equation
3RT/M1
3RT/M2
What is the mass of 235 U in a sample of the diffused gas
M2
M1
%3D
%3D
T2
Urms2
analogous to that in part A?
AZ
?
mass of 246 U =

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