Archeologists can determine the age of artifacts made of wood or bone by measuring the amount of the radioactive slope 14C present in the object. The amount of isolope decreases in a first-ordrr process. If 12.8% 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 5730 yrs.

1 answer

k = 0.693/t1/2
Then substitute k in the following:
ln(No/N) = kt
No = 100 (I assume this arbitrarily and calculate N based on what I chose for N.)
N = 12.8
k from above
t = solve for t in years.

Note the correct spelling of isotope.