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traces of burned wood along with ancient stone tools in an archaeological dig in

ID: 3036336 • Letter: T

Question

traces of burned wood along with ancient stone tools in an archaeological dig in chile were found to contain approximately 2.67% of the original amount of carbon-14. if the half life of carbon-14 is 5730 years, approximately when was the tree cut and burned? traces of burned wood along with ancient stone tools in an archaeological dig in chile were found to contain approximately 2.67% of the original amount of carbon-14. if the half life of carbon-14 is 5730 years, approximately when was the tree cut and burned? traces of burned wood along with ancient stone tools in an archaeological dig in chile were found to contain approximately 2.67% of the original amount of carbon-14. if the half life of carbon-14 is 5730 years, approximately when was the tree cut and burned?

Explanation / Answer

here let the carbon-14 original amount be 1.

0.0267=(1/2)^(t/5730)

Taking log of both sides

ln(0.0267)=ln[(1/2)^(t/5730)]

ln(0.0267)=(t/5730)ln(1/2)

ln(0.0267)/ln(0.5)=t/5730

t=29956.406 years