# TAMU NUEN 301 - NUEN301StudyprobsFinal2009 (4 pages)

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## NUEN301StudyprobsFinal2009

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- Pages:
- 4
- School:
- Texas A&M University
- Course:
- Nuen 301 - Nuclear Reactor Theory

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Nuke 301 Study Problems for Final Exam 2009 Note Data formula sheet is appended 1 All problems from all previous study sheets 2 All homework problems and previous test problems 3 A spherical container holds a mixture of water and uranium The interaction of the container walls with neutrons is negligible The container is surrounded by vacuum The radius of the container is one meter There are Q atoms of 235U per molecule of water Q is much less than 1 the mixture is dilute The number density of water molecules is essentially the same as if the 235U were not present The mixture is at 20 C You should be able to figure out from this information the number of water molecules per cubic cm Approximately what is the fast nonleakage probability in this reactor Hint you will need age to thermal for the mixture You should be able to estimate it from the handouts I gave you and from info in the notes Look at your answer to part a Does the 235U concentration Q influence it at all Discuss this Thinking in terms of physics not necessarily math how would you expect Q to influence the answer What is your estimate of the resonance escape probability in this reactor as a function of Q What is the thermal diffusion length in this reactor as a function of Q What is the thermal non leakage probability in this reactor as a function of Q What is the thermal utilization in this reactor as a function of Q What is the thermal reproduction factor in this reactor as a function of Q What is the multiplication factor in this reactor as a function of Q Generate a number for the particular value Q 0 005 a b c e f g h i 4 Estimate the Q in problem 3 that would make the reactor critical Hint plot k as a function of Q 5 Consider an medium of 12C with a source emitting S0 n cm3 s in the medium The emitted neutrons are distributed uniformly in energy between 18 keV and 20 KeV a To solve parts b and c you will have to make reasonable assumptions about the interactions between neutrons and carbon in the

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