EXAMPLE Age of a FossilA fossilized bone is found to contain 0.1% of its original amount of C-14. Determinethe age of the fossil.SOLUTION The starting point is again A(t) = Aoekt. To determine the value ofthe decay constant k we use the fact that Ao = A(5730) or Ao = Age 5730k. Thelast equation implies 5730k = In-In2 and so we get k = -(In2)/5730 =-0.00012097. Therefore A(t) = Age-0.00012097, With A(t) = 0.001Ao we have0.001A0 = Age-0.000120971 and -0.00012097t=In(0.001) -In 1000. Thus=t=In 10000.0001209757,100 years.

Answer: Radioactive decay is the first order reaction, therefore integrated rate law of first order…

Answered: A fossilized bone is found to contain…

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Chemistry

A fossilized bone is found to contain 0.1% of its original amount of C-14. Determine the age of the fossil.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Concept explainers

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.

Question

EXAMPLE Age of a Fossil
A fossilized bone is found to contain 0.1% of its original amount of C-14. Determine
the age of the fossil.
SOLUTION The starting point is again A(t) = Aoekt. To determine the value of
the decay constant k we use the fact that Ao = A(5730) or Ao = Age 5730k. The
last equation implies 5730k = In-In2 and so we get k = -(In2)/5730 =
-0.00012097. Therefore A(t) = Age-0.00012097, With A(t) = 0.001Ao we have
0.001A0 = Age-0.000120971 and -0.00012097t=In(0.001) -In 1000. Thus
=
t=
In 1000
0.00012097
57,100 years.

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