A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years
A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Carbon-14 Dating Problem
A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees.
**Problem Statement:**
How long ago, to the nearest year, was the artifact made?
*(Note: The half-life of carbon-14 is 5730 years.)*
**Answer:**
[Text Box] years
---
This problem is an example of using the concept of radioactive decay to determine the age of archaeological artifacts. The half-life is the time taken for half of the radioactive isotopes in a sample to decay. Here, the half-life of carbon-14 is 5730 years, and the artifact retains 50% of its original carbon-14 content, indicating that it is one half-life old.
Therefore, the artifact was made approximately 5730 years ago.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F113b0878-5af8-4998-be4b-de5d66497a2a%2F795ae60d-dd2a-4852-b8c4-f4fee22b0e10%2F3h512vi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Carbon-14 Dating Problem
A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees.
**Problem Statement:**
How long ago, to the nearest year, was the artifact made?
*(Note: The half-life of carbon-14 is 5730 years.)*
**Answer:**
[Text Box] years
---
This problem is an example of using the concept of radioactive decay to determine the age of archaeological artifacts. The half-life is the time taken for half of the radioactive isotopes in a sample to decay. Here, the half-life of carbon-14 is 5730 years, and the artifact retains 50% of its original carbon-14 content, indicating that it is one half-life old.
Therefore, the artifact was made approximately 5730 years ago.
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