Bernard Ko
NPRE 402 D3
02/06/2006
Assignment #5
Balance the breeding reactions leading to the production of the fissile isotope U233 from the
fertile isotope Th232.
n1 + 90Th232 90Th233 +
233
91Pa233 + -1e0 + * +
90Th
233
92U233 + -1e0 + * +
91Pa
_
0

CS 374 Spring 2015 Homework 0 Solutions
1. Prove that in any undirected graph G = (V, E) with at least one edge there is a path between two
distinct nodes u and v such that degree of u is equal to degree of v. Recall that the degree of a
node x is the num

Bernard Ko
NPRE 402 D3
03/08/2006
Assignment #17
A space probe needs a Radioisotope Heating Unit (RHU) to heat its equipment in the
cold of space away from the Sun. The isotope Pu238, an alpha emitter is used in space
applications and can produce the need

CS 374 Spring 2015 Homework 3 Solutions
1. (a) Use the method of the pumping lemma to show that the language cfw_ww | w cfw_0, 1 is not
regular.
Solution: Suppose there is an n-state DFA M recognizing the given language L.
The string 0n 10n 1 is in L, an

CS 374 Spring 2015 Homework 2 Solutions
1. (a) Draw an NFA that accepts the language cfw_w | there is exactly one block of 0s of even length.
(A block of 0s is a substring of 0s that is not contained in any longer substring of 0s.)
(b)
i. Draw an NFA for

Bernard Ko
NPRE 402 D3
01/30/2006
Assignment #2
Using the exponential growth model to calculate the number of generations needed for the
release of 1 kT and 100 kT of TNT equivalent. In what neutrons generations are the last 99
percent of the energy relea

Homework 23 Solutions Due: Wednesday 4/7 Estimate the fluxes and the currents in the following situations, in a diffusing medium with diffusion coefficient D = 1 cm, and macroscopic absorption cross-section equal to 0.1 cm-1. n 1. At the center of a line

Bernard Ko
NPRE 402 D3
Assignment #33
04/28/2006
Estimate the flux and current in vacuum for a square with a source S at each one of its corners
and a side length of 100 cm, at its center and at the middle of its side.
(s) = S / s2 [n / (cm2.sec)]
(s) = S

Bernard Ko
NPRE 402 D3
02/03/2006
Assignment #4
Balance the following nuclear reactions by applying conservations of charge and of nucleons.
1.
2.
3.
4.
D2 + 1T3 0n1 + 2He4 + Q1 (DT fusion reaction)
2
2
1
3
1D + 1D 1H + 1T + Q2 (Proton branch of the DD fu

Bernard Ko
NPRE 402 D3
Assignment #32
04/26/2006
Calculate the thickness of a shield made out of:
a) Water.
b) Graphite
That would attenuate a beam of neutrons by a factor of:
a) One million times (10-6).
b) One billion times (10-9).
x = - (1/ t) * ln(I(x

Bernard Ko
NPRE 402 D3
Assignment #19
03/15/2006
Construct a table showing the similarities and the differences in the Engineered Safety Features
(ESFs) for the reactor concepts:
Similarity
Difference
Engineered Safety Features Both BWR and PWR are
BWRs

CS 374 Spring 2015 Homework 6 Solutions
1. Suppose we want to run Dijkstras algorithm on a graph with edge lengths that are integers in the
range 0, 1, . . . , L. We wish to explore different tradeoffs in the running time that are achievable
when L is sma

Homework 24 Solutions Due: Friday 4/9 You are given a bare spherical fast reactor of pure fissile material. a. By equating the geometrical buckling to the material buckling, derive expressions for: i. The critical radius ii. The critical volume iii. The c

Chapter 4
NUCLEAR PROCESSES, THE STRONG FORCE
M. Ragheb
1/30/2013
4.1 INTRODUCTION
To gain a practical understanding of nuclear, plasma and radiological phenomena one
needs to understand the basic nuclear processes involving isotopes, nuclear reactions,

CS 374
1.
Final Exam Solutions (Version B)
Fall 2014
(a) Which of the following statements is true for every language L cfw_0, 1 ?
Yes
X
No
L is non-empty.
is a subset of cfw_0, 1 .
X
Yes
No
L is decidable or L is innite (or both).
Every nite language is

NPRE 402 / ME 405
Nuclear Power Engineering
Spring 2006
Date
Due
Number
Description
Assigned
1
Jan. 20
Date
Jan. 27
Data mine the Chart of the Nuclides for the naturally occurring isotopes and
their natural abundances for the following elements of interes

Bernard Ko
NPRE 402 D3
Assignment #34
05/01/2006
You are given a bare spherical fast reactor of pure fissile material.
a) By equating the geometrical buckling to the material buckling, derive expressions for:
Bm2 = (k lf 1) / L2, Bg2 = () / , B2 = Bg2 = B

NPRE 402 / ME 405 Nuclear Power Engineering Fall 2010
Date Number Assigned Date Due Description
1
8/23
8/30
Calculate the speed in meters per second of neutrons possessing the following energies: a. Fast neutron from fission at 2 MeV, b. Intermediate ener

CS 374 Spring 2015 Homework 8
Due Tuesday, April 7th, 2015 at 10am
Some important course policies
You may work in groups of up to three people. However, each problem should be
submitted by exactly one person, and the beginning of the homework should cl

Bernard Ko
NPRE 402 D3
Assignment #35
05/03/2006
Consider a reactor with a core in the form of a cube of side length a.
1. Solve the diffusion equation in the Cartesian coordinate system to determine the flux
distribution in the x, y, and z directions.
an

Bernard Ko
NPRE 402 D3
Assignment #26
04/12/2006
Construct a table comparing the technical specifications and operational characteristics of the
following reactor concept:
PWR
Technical specifications
Purpose: electricty, nuclear
powered ships.
Coolant ty