Radioactive decay is always a first-order kinetic process. Uranium-238 decays to lead-206, which is stable, with an effective half-life of 4.51 billion years. Sediment from the ocean contains 0.00150 grams uranium-238 and 4.60 x 10-4 grams lead-206. Assume lead-206 is formed only by uranium-238 decay, and there was no lead-206 present when the sediment formed; estimate the age of the sediment.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter30: Nuclear Physics
Section: Chapter Questions
Problem 16P
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Radioactive decay is always a first-order kinetic process. Uranium-238 decays to lead-206,
which is stable, with an effective half-life of 4.51 billion years. Sediment from the ocean
contains 0.00150 grams uranium-238 and 4.60 x 10-4 grams lead-206. Assume lead-206 is
formed only by uranium-238 decay, and there was no lead-206 present when the sediment
formed; estimate the age of the sediment.

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