Compare infinite and effective multiplication factors for three different configurations of a Cylin- drical thermal reactor...
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Compare infinite and effective multiplication factors for three different configurations of a Cylin- drical thermal reactor with diameter D = 3.0 m and II = 4.0 m: (1) 4.5% enriched uranium moderated by light water; (2) natural uranium moderated by light water; and (3) natural uranium moderated by heavy water. In all cases uranium atoms are uniformly dispersed inside water and concentration of uranium atoms and water molecules is N/NModerator = 1/25. Use the following properties for the moderators: Moderator Density p (g/cm) | Fast fission factor Resonance escape factor HO DO 0.68 0.75 1.27 1.08 0.67 0.84 Hint: Your work will be easier if you use the following information from the textbook: Table 4.4, Eq. 19.16, Eq. 16.6 (for L.), and Eq. 19.23 and 19.24 (for LF). Comment: For simplicity, make the following assumptions: (I) assume that 4.5% enriched ura- nium means that the isotopic abundance of U-235 in the Uranium is 4.5% (instead of the mass fraction); (II) assume atomic mass of HO as 18 u (with all H being H-1), and atomic mass of DO as 20 u (with all H being H-2); (III) use absorption cross section of 0-16 for oxygen (disregard 0-17 and O-18); (IV) neglect fission from U-238. Perform the appropriate calculations and fill in the values of the comparison table below: " f L Configuration 1 Configuration 2 Configuration 3 Foo keff Compare infinite and effective multiplication factors for three different configurations of a Cylin- drical thermal reactor with diameter D = 3.0 m and II = 4.0 m: (1) 4.5% enriched uranium moderated by light water; (2) natural uranium moderated by light water; and (3) natural uranium moderated by heavy water. In all cases uranium atoms are uniformly dispersed inside water and concentration of uranium atoms and water molecules is N/NModerator = 1/25. Use the following properties for the moderators: Moderator Density p (g/cm) | Fast fission factor Resonance escape factor HO DO 0.68 0.75 1.27 1.08 0.67 0.84 Hint: Your work will be easier if you use the following information from the textbook: Table 4.4, Eq. 19.16, Eq. 16.6 (for L.), and Eq. 19.23 and 19.24 (for LF). Comment: For simplicity, make the following assumptions: (I) assume that 4.5% enriched ura- nium means that the isotopic abundance of U-235 in the Uranium is 4.5% (instead of the mass fraction); (II) assume atomic mass of HO as 18 u (with all H being H-1), and atomic mass of DO as 20 u (with all H being H-2); (III) use absorption cross section of 0-16 for oxygen (disregard 0-17 and O-18); (IV) neglect fission from U-238. Perform the appropriate calculations and fill in the values of the comparison table below: " f L Configuration 1 Configuration 2 Configuration 3 Foo keff
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Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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