For samples 1, 2 and 3: A. determine the D/P ratio in the table below (calculate each value to 1 decimal place). B. If the decay constant (A) for the radioactive decay of 40K is A = 5.543 x 10-10 year 1 and half-life 1.248 billion years, determine the age of the samples in billion years (calculate each value to 2 decimal places). C. Using the half-life, complete the Half- .(lives Elapsed column in the table (calculate each value to 1 decimal place Half-lives elapsed Age in billion years D/P Ratio Daughter Parent Sample 10000 5000 10000 2500 7500 1250 3

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter9: Nuclear Chemistry
Section: Chapter Questions
Problem 9.30P
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For samples 1, 2 and 3: A. determine the D/P ratio in the table below (calculate each value to 1 decimal place). B. If the
decay constant (A) for the radioactive decay of 40K is A = 5.543 x 10-10 year -1 and half-life 1.248 billion years, determine the
age of the samples in billion years (calculate each value to 2 decimal places). C. Using the half-life, complete the Half-
.(lives Elapsed column in the table (calculate each value to 1 decimal place
Half-lives elapsed
Age in billion years
D/P Ratio
Daughter Parent Sample
10000
5000
10000
2500
7500
1250
Please answer all parts of the question
Because 14C has a very short half-life, the 14C method is useful in dating organic material only as old as about 70,000 years.
Laboratory work established a relationship between the "specific activity" of an organic substance and its age. Specific
activity is a measure of the amount of remaining 14C, expressed as pmc (percentage of modern carbon). The 14C age is
:calculated as
a, 14c
t =-8267 In(
where at 14C is the measured 14C activity and a, 14C is the initial activity (- 100 pmc). If the 14C activity in a sample X
is measured to be 68 pmc, how old is the sample? Age =
years
الجواب
Transcribed Image Text:For samples 1, 2 and 3: A. determine the D/P ratio in the table below (calculate each value to 1 decimal place). B. If the decay constant (A) for the radioactive decay of 40K is A = 5.543 x 10-10 year -1 and half-life 1.248 billion years, determine the age of the samples in billion years (calculate each value to 2 decimal places). C. Using the half-life, complete the Half- .(lives Elapsed column in the table (calculate each value to 1 decimal place Half-lives elapsed Age in billion years D/P Ratio Daughter Parent Sample 10000 5000 10000 2500 7500 1250 Please answer all parts of the question Because 14C has a very short half-life, the 14C method is useful in dating organic material only as old as about 70,000 years. Laboratory work established a relationship between the "specific activity" of an organic substance and its age. Specific activity is a measure of the amount of remaining 14C, expressed as pmc (percentage of modern carbon). The 14C age is :calculated as a, 14c t =-8267 In( where at 14C is the measured 14C activity and a, 14C is the initial activity (- 100 pmc). If the 14C activity in a sample X is measured to be 68 pmc, how old is the sample? Age = years الجواب
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