**Question 7**Carbon from a glacier mummy discovered in the Tyrolean Alps has an activity of 5.47 decays of \(^{14}C\) per minute per gram of carbon. If carbon from a living organism in this region has an activity of 13.5 decays/min/g C, estimate the age of the mummy. (The half-life of \(^{14}C\) is 5730 years.)age = [ ] years old**Explanation:**To estimate the age of the mummy, use the formula for radioactive decay:\[ N(t) = N_0 \times (1/2)^{t/T_{1/2}} \]Where:- \( N(t) \) is the current activity (5.47 decays/min/g),- \( N_0 \) is the initial activity (13.5 decays/min/g),- \( t \) is the time (age of the mummy),- \( T_{1/2} \) is the half-life of \(^{14}C\) (5730 years).Rearrange to solve for \( t \):\[ t = \frac{\log(N(t)/N_0)}{\log(1/2)} \times T_{1/2} \]

we have to calculate the age of sample

Carbon from a glacier mummy discovered in the Tyrolean Alps has an activity of 5.47 decays of- 14C per minute per gram of carbon. If carbon from a living organism in this region has an activity of 13.5 decays/min/g C, estimate the age of the mummy. (The half-life of ¹4C is 5730 years.) age = years old

Carbon from a glacier mummy discovered in the Tyrolean Alps has an activity of 5.47 decays of- 14C per minute per gram of carbon. If carbon from a living organism in this region has an activity of 13.5 decays/min/g C, estimate the age of the mummy. (The half-life of ¹4C is 5730 years.) age = years old

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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2. A wooden object from an archeological site is subjected to radiocarbon dating. The activity of the sample that is due to ¹4C is measured to be 11.6 disintegrations per second. The activity of a carbon sample of equal mass from fresh wood is 15.2 disintegrations per second. The half-life of 14C is 5715 yr. What is the age of the archeological sample? Select Editing
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Please Help with HW.
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