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Carbon Dating The age of an ancient artifact can be deter- mined by the amount of radioactive carbon-14 remaining in it. If D, is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by A = -8267 In Find the age of an object if the amount D of carbon-14 that remains in the object is 73% of the original amount D..

Carbon Dating The age of an ancient artifact can be deter- mined by the amount of radioactive carbon-14 remaining in it. If D, is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by A = -8267 In Find the age of an object if the amount D of carbon-14 that remains in the object is 73% of the original amount D..

Chemistry
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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Carbon Dating The age of an ancient artifact can be deter- mined by the amount of radioactive carbon-14 remaining in it. If D, is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by A = -8267 In Find the age of an object if the amount D of carbon-14 that remains in the object is 73% of the original amount D..
Transcribed Image Text:Carbon Dating The age of an ancient artifact can be deter- mined by the amount of radioactive carbon-14 remaining in it. If D, is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by A = -8267 In Find the age of an object if the amount D of carbon-14 that remains in the object is 73% of the original amount D..
Expert Solution
Step 1

Radioactive decay follows first order kinetics. The integrated rate equation for a first order reaction is

kt = lnAoA, or,t   =  1k lnAoA    = -1k lnAAo                                                               ...(1)

Case 1:

Initial concentration = Do

Final concentration = D

Time = A years

The integrated rate equation is given as

A = -8267lnDDo

 

 

 

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