Archaeologists can determine the age of artifacts made of wood or bone by measuring the amount of the radioactive isotope 14C present in the object. The amount of isotope decreases in a first-order process. If 27.6% of the original amount of 14C is present in a wooden tool at the time of analysis, what is the age of the tool? The half-life of 14C is 5,730 yr. Give your answer in scientific notation.

2 answers

k = 0.693/half life. Substitute and solve for k.
Then ln(No/N) = kt
No = 100
N = 27.6
k = from above
Solve for time in years. Remember to change to scientific notation for the answer. Post your work if you get stuck.
log(.275)/ log(.5)=1.862496476

1.862496476*5730=10672.10481

1.07x10^4