Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Question
Chapter 8, Problem 12Q
To determine
The age of the sample rock given, if three quarters of the radioactive potassium
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Check out a sample textbook solutionStudents have asked these similar questions
Potassium has a radioactive isotope, K-40, with a half-life of 1.25 billion years, and a natural abun-
dance of 0.012% (120 parts per million). Sea-water contains about 380 ppm of potassium (0.38
grams per litre), essential for life. Calculate the radioactivity of sea-water due to the potassium,
giving your answer in Bq m
-3
Rock B was found to contain 6 atoms of a parent isotope and 94
atoms of its daughter isotope. If the half-life of the parent-
daughter isotope pair is 2 million years, what is the absolute age
of Rock B?
Parent atoms remaining
100
94 atoms
87 atoms
80
75 atoms
60
50 atoms
40
25 atoms
13 atoms
6 atoms
1
2
3
4
Number of half-lives
(Elapsed time)
2 million years old
4 million years old
6 million
years
old
8 million years old
94 million years old
LO
20
Number of atoms (percent)
A sample from a meteorite that landed on Earth has been analyzed, and the result shows that out of every 1,000 nuclei of potassium-40 originally in the meteorite, only 125 are
still present, meaning they have not yet decayed. How old is the meteorite (in yr)? (Hint: See the figure below.) (Note: The half-life of potassium-40 is 1.3 billion years.)
Figure
Graph
Bar charts
A mineral sample
containing radioactive
atoms :, which decay
into daughter atoms
100
Percentage of
radioactive and
daughter atoms
in the mineral
50
100
Percentage of
-radioactive atoms
remaining
Age in half-lives
yr
Percentage remaining
Chapter 8 Solutions
Universe
Ch. 8 - Prob. 1CCCh. 8 - Prob. 2CCCh. 8 - Prob. 3CCCh. 8 - Prob. 4CCCh. 8 - Prob. 5CCCh. 8 - Prob. 6CCCh. 8 - Prob. 7CCCh. 8 - Prob. 8CCCh. 8 - Prob. 9CCCh. 8 - Prob. 10CC
Ch. 8 - Prob. 11CCCh. 8 - Prob. 12CCCh. 8 - Prob. 1QCh. 8 - Prob. 2QCh. 8 - Prob. 3QCh. 8 - Prob. 4QCh. 8 - Prob. 5QCh. 8 - Prob. 6QCh. 8 - Prob. 7QCh. 8 - Prob. 8QCh. 8 - Prob. 9QCh. 8 - Prob. 10QCh. 8 - Prob. 11QCh. 8 - Prob. 12QCh. 8 - Prob. 13QCh. 8 - Prob. 14QCh. 8 - Prob. 15QCh. 8 - Prob. 16QCh. 8 - Prob. 17QCh. 8 - Prob. 18QCh. 8 - Prob. 19QCh. 8 - Prob. 20QCh. 8 - Prob. 21QCh. 8 - Prob. 22QCh. 8 - Prob. 23QCh. 8 - Prob. 24QCh. 8 - Prob. 25QCh. 8 - Prob. 26QCh. 8 - Prob. 27QCh. 8 - Prob. 28QCh. 8 - Prob. 29QCh. 8 - Prob. 30QCh. 8 - Prob. 31QCh. 8 - Prob. 32QCh. 8 - Prob. 33QCh. 8 - Prob. 34QCh. 8 - Prob. 35QCh. 8 - Prob. 36QCh. 8 - Prob. 37QCh. 8 - Prob. 38QCh. 8 - Prob. 39QCh. 8 - Prob. 40QCh. 8 - Prob. 41QCh. 8 - Prob. 42QCh. 8 - Prob. 43QCh. 8 - Prob. 44QCh. 8 - Prob. 45QCh. 8 - Prob. 46QCh. 8 - Prob. 47QCh. 8 - Prob. 48QCh. 8 - Prob. 49QCh. 8 - Prob. 50QCh. 8 - Prob. 51QCh. 8 - Prob. 52Q
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- A radioactive nucleus has a half-life of 5108 years. Assuming that a sample of rock (say, in an asteroid) solidified right after the solar system formed, approximately what fraction of the radioactive element should be left in the rock today?arrow_forwardA sample from a meteorite that landed on Earth has been analyzed, and the result shows that out of every 1,000 nuclei of potassium-40 originally in the meteorite, only 125 are still present, meaning they have not yet decayed. How old is the meteorite (in yr)? (Hint: See the figure below.) (Note: The half-life of potassium-40 is 1.3 billion years.) Figure Graph Bar charts A mineral sample containing radioactive atoms :, which decay into daughter atoms :: 100 Percentage of radioactive and 50 daughter atoms in the mineral 100 Percentage of 50 -radioactive atoms remaining 2 3 Age in half-lives yr Percentage remaining :---1/2 remain----ER 1/4 remain---- ---: 1/8 remain-------arrow_forward1) How massive would Earth had been if it had accreted hydrogen compounds in addition to the sme properties listed in table 7.1? (Assume the same properties of the ingredients as listed in the table) 2) Now imagine that Earth had been able to capture hydrogen and helium gas in the same proportions as listed in the table. How massive would it have been?arrow_forward
- A sample from a meteorite that landed on Earth has been analyzed, and the results shows that out of every 1,000 nuclei of potassium- 40 originally in the meteorite, only 125 are still present, meaning they have no yet decayed. How old is the meteorite (in yr)? (Hint: see the figure below) (Note: The half life of potassium- 40 is 1.3 billion years.) _______ yrarrow_forwardWhat happens if a planet has differentiated? Would you expect differentiation to be common among the planets? Why or why not?arrow_forwardWhat characteristics must Earths core have to generate a magnetic field?arrow_forward
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