Assuming that the global amount of radiocarbon is constant, decaying Carbon-14 is repeatedly restored in organisms while they are alive. However, when an organism dies, the amount of Carbon-14 begins to decrease as it decays to Nitrogen-14. A peat bed sample is found to have 6% of Carbon-14 remaining from a specific type of bivalve shells. How old is the peat bed?
Assuming that the global amount of radiocarbon is constant, decaying Carbon-14 is repeatedly restored in organisms while they are alive. However, when an organism dies, the amount of Carbon-14 begins to decrease as it decays to Nitrogen-14. A peat bed sample is found to have 6% of Carbon-14 remaining from a specific type of bivalve shells. How old is the peat bed?
Chemistry
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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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Assuming that the global amount of radiocarbon is constant, decaying Carbon-14 is repeatedly restored in organisms while they are alive. However, when an organism dies, the amount of Carbon-14 begins to decrease as it decays to Nitrogen-14.
A peat bed sample is found to have 6% of Carbon-14 remaining from a specific type of bivalve shells. How old is the peat bed?
![SOME ISOTOPES USED FOR RADIOMETRIC DATING
Half-lives (T,)
Parent
Isotope (P)
Daughter
Isotope (D)
Materials Dated
Newty formed
crystal
Uranium-238
Lead-206
4.5 billon years
Zroon
100
713 milion years
1.3 billon years
Uranium-235
Lead-207
Zroon
Biotite, muscovite,
whole volcanic rock
15.9%
Potassium-40
Argon-40
decayed to daughter
Carbon-14
Nitrogen-14
5730 years
Shells, limestone,
organic materials
84.1
29.3%
decayed
70.7
Parent
Atoms (P)
0000
RADIOACTIVE
DECAY
50.0
50%
decayed
Daughter
Atoms (D)
25.0
75% decayed
87.5%
decayed
12.5
6.2
3.1
93.8%
decayed
96.9%
decayed
2
3
Half-lives (T) Elapsed
DECAY PARAMETERS FOR ALL RADIOACTIVE DECAY PAIRS
Percent of
Parent
Atoms (P)
Percent of
Daughter
Atoms (D)
Half-lives
Elapsed
Age
0.000 x T
0.015 x T
0.031 x T
0.062 x T
0.125 x T
0.250 x T
0.500 x T
1.000 х Тур
1.500 x T
2.000 x Ty,
3.000 х Ту
4.000 x T,
5.000 х Ту
100.0
0.0
98.9
1.1
1/64
97.9
2.1
1/32
95.8
4.2
1/16
91.7
83
1/8
84.1
15.9
1/4
70.7
29.3
1/2
50.0
50.0
35.4
64.6
25.0
75.0
12.5
87.5
6.2
93.8
4
3.1
96.9
5
FIGURE 16 Some isotopes useful for radiometric dating and their decay parameters. The half-life of each
decay pair is different (top chart), but the graph and decay parameters (bottom charts) are the same for all
decay pairs.
Percent of Parent (P) Atoms Remaining](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91195c14-8c67-42a0-b9d0-a3e8c2a59df0%2F45a671cc-79aa-4a83-9104-6f8cc4253dfc%2Fm1juea1_processed.png&w=3840&q=75)
Transcribed Image Text:SOME ISOTOPES USED FOR RADIOMETRIC DATING
Half-lives (T,)
Parent
Isotope (P)
Daughter
Isotope (D)
Materials Dated
Newty formed
crystal
Uranium-238
Lead-206
4.5 billon years
Zroon
100
713 milion years
1.3 billon years
Uranium-235
Lead-207
Zroon
Biotite, muscovite,
whole volcanic rock
15.9%
Potassium-40
Argon-40
decayed to daughter
Carbon-14
Nitrogen-14
5730 years
Shells, limestone,
organic materials
84.1
29.3%
decayed
70.7
Parent
Atoms (P)
0000
RADIOACTIVE
DECAY
50.0
50%
decayed
Daughter
Atoms (D)
25.0
75% decayed
87.5%
decayed
12.5
6.2
3.1
93.8%
decayed
96.9%
decayed
2
3
Half-lives (T) Elapsed
DECAY PARAMETERS FOR ALL RADIOACTIVE DECAY PAIRS
Percent of
Parent
Atoms (P)
Percent of
Daughter
Atoms (D)
Half-lives
Elapsed
Age
0.000 x T
0.015 x T
0.031 x T
0.062 x T
0.125 x T
0.250 x T
0.500 x T
1.000 х Тур
1.500 x T
2.000 x Ty,
3.000 х Ту
4.000 x T,
5.000 х Ту
100.0
0.0
98.9
1.1
1/64
97.9
2.1
1/32
95.8
4.2
1/16
91.7
83
1/8
84.1
15.9
1/4
70.7
29.3
1/2
50.0
50.0
35.4
64.6
25.0
75.0
12.5
87.5
6.2
93.8
4
3.1
96.9
5
FIGURE 16 Some isotopes useful for radiometric dating and their decay parameters. The half-life of each
decay pair is different (top chart), but the graph and decay parameters (bottom charts) are the same for all
decay pairs.
Percent of Parent (P) Atoms Remaining
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