3 A twig from a bristlecone pine tree is found in a sedimentary layer, and its age is to be determined. The twig is a 7.0-gram piece of cellulose (C6H10O5: molar mass = 162 g/mole). This specimen is taken and placed between scintillation detectors, and over a 24-hour period 26,500 decays were recorded. How old is this twig? Assume that when the tree was living, carbon-14 accounted for 1 out of every 7.2x1011 atoms of carbon. The half-life of carbon-14 is 5730 years.

Chemistry: The Molecular Science
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Chapter18: Nuclear Chemistry
Section18.4: Rates Of Disintegration Reactions
Problem 18.5E
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3 A twig from a bristlecone pine tree is found in a sedimentary layer, and its age is to be determined.
The twig is a 7.0-gram piece of cellulose (C6H1005: molar mass = 162 g/mole). This specimen is taken
and placed between scintillation detectors, and over a 24-hour period 26,500 decays were recorded.
How old is this twig? Assume that when the tree was living, carbon-14 accounted for 1 out of every
7.2x1011 atoms of carbon. The half-life of carbon-14 is 5730 years.
Transcribed Image Text:3 A twig from a bristlecone pine tree is found in a sedimentary layer, and its age is to be determined. The twig is a 7.0-gram piece of cellulose (C6H1005: molar mass = 162 g/mole). This specimen is taken and placed between scintillation detectors, and over a 24-hour period 26,500 decays were recorded. How old is this twig? Assume that when the tree was living, carbon-14 accounted for 1 out of every 7.2x1011 atoms of carbon. The half-life of carbon-14 is 5730 years.
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