Carbon-14 Dating An exponential decay functioncan be used to model the number of atoms of aradioactive material that remain after a period oftime. Carbon-14 decays over time, with the amountremaining after t years given byy = y0e-0.00012097twhere y0 is the original amount.a. If a sample of carbon-14 weighs 100 grams originally, how many grams will be present in 5000years?b. If a sample of wood at an archaeological sitecontains 36% as much carbon-14 as living wood,determine when the wood was cut.
Carbon-14 Dating An exponential decay functioncan be used to model the number of atoms of aradioactive material that remain after a period oftime. Carbon-14 decays over time, with the amountremaining after t years given byy = y0e-0.00012097twhere y0 is the original amount.a. If a sample of carbon-14 weighs 100 grams originally, how many grams will be present in 5000years?b. If a sample of wood at an archaeological sitecontains 36% as much carbon-14 as living wood,determine when the wood was cut.
Chemistry
10th Edition
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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Carbon-14 Dating An exponential decay function
can be used to model the number of atoms of a
radioactive material that remain after a period of
time. Carbon-14 decays over time, with the amount
remaining after t years given by
y = y0e-0.00012097t
where y0 is the original amount.
a. If a sample of carbon-14 weighs 100 grams originally, how many grams will be present in 5000
years?
b. If a sample of wood at an archaeological site
contains 36% as much carbon-14 as living wood,
determine when the wood was cut.
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