hmwk4 - Department of Chemical Engineering University of...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Department of Chemical Engineering University of California, Santa Barbara Eng 5A Fall 2001 Instructor: David Pine Homework #4 Homework due: Wednesday, 24 October 2001 Note: Every student should work on the homework by himself or herself. It is ok to to get help from others, but the work should be your own. Reading: Chapter 8 in The Mathematica Primer discusses troubleshooting strategies. It’s useful reading. Demo 7 illustrates many of the concepts addressed in problems 2-5 on lists & matrices. 1. Consider the radioactive decay of 239 U → 239 Np → 239 Pu. We can model these three reactions by the ODEs d [U] dt =- k u [U] (1) d [Np] dt = k u [U]- k n [Np] (2) d [Pu] dt = k n [Np] (3) (a) Solve these ODEs using Mathematica by the following method. First solve Eq. (1) to obtain an expression for the time dependent concentration [U]( t ). Assume that 100% of the starting material is uranium (U). Then, substitute your solution for [U]( t ) into Eq. (2) and solve for [Np]( t ). Finally, use these results to obtain an expression for)....
View Full Document

This note was uploaded on 12/29/2011 for the course ENGR 5a taught by Professor Brewer during the Fall '09 term at UCSB.

Page1 / 2

hmwk4 - Department of Chemical Engineering University of...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online