Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 30, Problem 77GP
To determine

To find:The activity of boneafter 60,000 year.

Expert Solution & Answer
Check Mark

Answer to Problem 77GP

  0.2decays/s

Explanation of Solution

Given data:

The mass of carbon 60,000 years ago was 1.0kg .

Half-life of carbon is 5730yr

  1yr=3.16×107s

Calculation:

Number of atom present in 1.0 kg of carbon

  N=(1.0×103g)(6.02×1023 atoms /mol)12g/mol=5.017×1025C atoms

Number of 614C atom in the bone at that time

  N0=N614C=(5.017×1025)(1.3×1012)=6.522×1013 nuclei

Activity of bone after 60000 yr

  R=λN=ln2T1/2N=ln2T1/2N0eln2T1/2t=ln2(5730yr)(3.16×107s/yr)(6.522×1013)eln2(60,000yr)(5730yr)=0.1759decays/s0.2decays/s

Conclusion:

The activity of bone is 0.2decays/s

Chapter 30 Solutions

Physics: Principles with Applications

Ch. 30 - Prob. 11QCh. 30 - Prob. 12QCh. 30 - Prob. 13QCh. 30 - Prob. 14QCh. 30 - Prob. 15QCh. 30 - Prob. 16QCh. 30 - Prob. 17QCh. 30 - Prob. 18QCh. 30 - Prob. 19QCh. 30 - Prob. 20QCh. 30 - Prob. 21QCh. 30 - Prob. 22QCh. 30 - Prob. 23QCh. 30 - Prob. 24QCh. 30 - Prob. 25QCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58GPCh. 30 - Prob. 59GPCh. 30 - Prob. 60GPCh. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64GPCh. 30 - Prob. 65GPCh. 30 - Prob. 66GPCh. 30 - Prob. 67GPCh. 30 - Prob. 68GPCh. 30 - Prob. 69GPCh. 30 - Prob. 70GPCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - Prob. 73GPCh. 30 - Prob. 74GPCh. 30 - Prob. 75GPCh. 30 - Prob. 76GPCh. 30 - Prob. 77GPCh. 30 - Prob. 78GP
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