World of Chemistry
World of Chemistry
7th Edition
ISBN: 9780618562763
Author: Steven S. Zumdahl
Publisher: Houghton Mifflin College Div
Question
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Chapter 19.1, Problem 6RQ
Interpretation Introduction

Interpretation: The fraction of 224Ra sample that remains after one month is to be calculated.

Concept introduction: Half-life of a radioactive sample is the time taken by it to reduce its concentration to half. The formula used to calculate the amount of sample left after World of Chemistry, Chapter 19.1, Problem 6RQ , additional homework tip  1 half-lives is

  Half-life=12n

Expert Solution & Answer
Check Mark

Answer to Problem 6RQ

Fraction of 224Ra sample that remains after one month is =1321.79 .

Explanation of Solution

Half-life of 224Ra=3.6 days

Formula used to calculate the amount of sample left after World of Chemistry, Chapter 19.1, Problem 6RQ , additional homework tip  2 half-lives is

  Half-life=12n

  Number of half lives in one month = 30 days3.6 day                                                      = 8.33

The amount of 224Ra sample left after  8.33 half-lives is

  =1(2)8.33=1321.79

Conclusion

After  8.33 half-lives, fraction of 224Ra sample that remains after one month is =1321.79 .

Chapter 19 Solutions

World of Chemistry

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