Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 31, Problem 46P
To determine

To find:The mass of C614

Expert Solution & Answer
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Answer to Problem 46P

  0.224μg

Explanation of Solution

Given data:

Half-life of C614 = 5730 yr

Activity of carbon is (1.0×106Ci)(3.70×1010 decays/s1Ci)=3.70×104 decays/s

  N=ΔNΔtT1/20.693=(3.70×104 decays/s)5730yr0.693(3.156×107s/yr)=9.655×1015 nuclei

Since, 1 mole of carbon is 0.014 kg

  9.655×1015 nuclei (0.0140kg6.02×1023 nuclei )=2.24×1010kg=0.224μg

Conclusion:

The mass of C614

  0.224μg

Chapter 31 Solutions

Physics: Principles with Applications

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