Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 8, Problem 12Q
To determine

The age of the sample rock given, if three quarters of the radioactive potassium (40K) in that rock decayed into argon (40Ar).

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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
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