To answer the following questions, refer to the cross-section plots in Appendix

Question

To answer the following questions, refer to the cross-section plots in Appendix A of your notes and do your best to read the needed cross-section values from the plots.

(a) [10 points] Consider a neutron of energy 2 MeV encountering some 235U. What is the microscopic scattering cross section, U235 s ? What is the microscopic absorption cross section, U235 a ?

(b) [10 points] A 10-MeV neutron has a collision with 235U. What is the probability that the collision produces 234U?

I think this is the apendix my professor referanced, if this is not the correct chart, please let me know, and I can edit the question with the right information.

2200 m/s cross sections Resonance integrals Atomic | (barns)S arns) (6)7 Abundance, atom % 'half-life number Nuclide Abund 80.035 (8) 2.65 x 106 1.40 x 103 4.065% 104 (e) 7.37 1515 53 54 6.57 h 9.14 h 53.08(5) h 2 x 101 y 1.40 x 1010 y 21.83 m 24.10 d 3.276 x 104y 1.32 d 26.975 d 6.70 h 68.9 y .592 x 10y 2.455 x 10;y 7.04 x 10 y 2.342 x 10'y 6.75 d 7.60 × 103 1562 3492 85 4.0 × 102 93.68 62 90 149 149 232 13.82 Th 100 2.50 × 10-6 233 11.08 0.01 0200 981.6e) 4.605 313.4 200.6 1635.6e) 39.5 no value 152 574.6 100.45 680.9 232 622.1 233 5000 232 630 897 667 × 102 419 368 1.20 x 103 280.1 350 760 6.5 275 92 233 529.1 0.65 582.6 07 0.35 1.177 x 105 14 20.00461e) 3020.275( 0054(5) .7204(6) 235 236 237 238 239 Nn235 48.65 2.020 99.2742(10)4.468 x 10° y 23.45 m 396.1 d 1.53 x 105 y 93 150.0 3146.47e) 1291.4 1032

Explanation / Answer

(a) In this case, it is clearly visible from the appendix that the absorption cross section is given to be 680.9 while that of scattering can be found as:

Here we have chargeless particles neutrons with energy 2 MeV colliding with a target having atomic number 92 and mass number 235, therefore, we have scattering cross section equal to be 18008.890425061196 barns.

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