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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 for Today: General, Organic, and Biochemistry
Chemistry for Today: General, Organic, and Biochemistry
9th Edition
ISBN:9781305960060
Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Chapter10: Radioactivity And Nuclear Processes
Section: Chapter Questions
Problem 10.1E
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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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