Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide and A is the particular decay constant. In a radioactive series of two different nuclides, with concentrations N1(t) and N2(t), we have: dN1 =-\1N1. dt dN2 = A1N1 – A,N2. dt Find N2(t) for the conditions N1(0) = No and N2(0) = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Radioactive nuclei decay according to the law:
dN
-AN.
dt
N is the concentration of a given nuclide and A is the particular decay constant.
In a radioactive series of two different nuclides, with concentrations N1(t) and
N2(t), we have:
dN1
=-\1N1.
dt
dN2
= A1N1 – A,N2.
dt
Find N2(t) for the conditions N1(0) = No and N2(0) = 0.
Transcribed Image Text:Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide and A is the particular decay constant. In a radioactive series of two different nuclides, with concentrations N1(t) and N2(t), we have: dN1 =-\1N1. dt dN2 = A1N1 – A,N2. dt Find N2(t) for the conditions N1(0) = No and N2(0) = 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,