The half-life of 222Rn is 3.82 days. (a) Convert the half-life to seconds. 330048 (b) Calculate the decay constant for this isotope. 2.1e-6 s-1 (c) Convert 0.430 µCi to the SI unit the becquerel. 15910 Bq

The half-life of 222Rn is 3.82 days. (a) Convert the half-life to seconds. 330048 (b) Calculate the decay constant for this isotope. 2.1e-6 s-1 (c) Convert 0.430 µCi to the SI unit the becquerel. 15910 Bq

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Nuclear Physics

Section: Chapter Questions

Problem 14P

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Concept explainers

Nuclear Reactions

Nuclear reactions are processes in which the fundamental characteristics of a nucleus changes. They change into a completely different nucleus. These processes occur naturally in an unstable nucleus. Bombarding an energetic particle can induce nuclear reactions. In this article, both the naturally occurring nuclear reactions are termed as radioactive decay and the induced nuclear reactions are further categorized as nuclear fission and nuclear fusion.

Question

The half-life of 222Rn is 3.82 days.
(a) Convert the half-life to seconds.
330048
(b) Calculate the decay constant for this isotope.
2.1e-6
s-1
(c) Convert 0.430 µCi to the SI unit the becquerel.
15910
Bq
(d) Find the number of 22<Rn nuclei necessary to produce a sample with an activity of 0.430 µCi.
7.58e11
222Rn nuclei
Your response is off by a multiple of ten.
(e) Suppose the activity of a certain 222Rn sample is 6.70 mCi at a given time. Find the number of half-lives the sample
goes through in 40.2 d and the activity at the end of that period. (Enter your answer for the number of half-lives to at least
one decimal place.)
4.56e-3
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step ca

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