physics

A wooden artifact is found in an ancient tomb. Its carbon-14 activity is measured to be 60.0% of that in a fresh sample of wood from the same region. Assuming the same amount of carbon-14 was initially present in the wood from which the artifact was made, determine the age of the artifact.

Calculate how long it take for the decay rate to decrease to 60% of the initial value, when the half life is that of C-14, which is 5568 years. They expect you to look that up, or know it.

Let t = the age in years
2^(-t/5568) = 0.6
Solve for t.
(-t/5568)*log 2 = log 0.6
-t/5568 = log .6/log2 = -.737
t = 4100 years

1. 👍
2. 👎
3. 👁
1. Half life of C-14 is 5730 yrs. Which would give you 4.22x10^3 yrs as your answer.

1. 👍
2. 👎

Similar Questions

1. math

A wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)

2. chemistry

A wooden object from a prehistoric site has a carbon-14 activity of 10 counts per min.(cpm) compared to 40 cpm for new wood. If carbon-14 has a half life of 5730 years what is the age of the wood? Please get me started. Thank you

3. Chemistry

The cloth shroud from around a mummy is found to have a carbon-14 activity of 8.1 disintegrations per minute per gram of carbon as compared with living organisms that undergo 15.2 disintegrations per minute per gram of carbon.

4. MATH 123

A wooden artifact from an ancient tomb contains 55% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)

1. chemistry

A wooden boat discovered just south of the Great Pyramid in Egypt had a carbon - 14 content of approximately 50% of that found in living organisms. How old is the boat?

2. Social Studies

If an archeologist found an artifact near the Fourth Cataract, why might he or she have difficulty deciding how to display it in a museum?

3. English

To what people does John Winthrop compare the Puritans in "A Model of Christian Charity"? the ancient Egyptians the ancient Romans the ancient Israelites the ancient Babylonians

An ancient wooden club is found that contains 270g of carbon and has an activity of 8.3 decays per second. Determine its age assuming that in living trees the ratio of 14C/12C atoms is about 1.3x10^-12? t= in years

1. history

Second half ---- 6-Which of the following locations would offer the best archaeological evidence in support of a thesis statement regarding the effects of the neolithic revolution A-jericho* B-lake turkana C-mesopotamia D-old