Homework Answers
A half life is how much time it takes for the sample to decay to half of its original amount. So in 5,700 years, a 1 gram sample of carbon-14 would decay to 0.5 grams.
Similarly, if we start with 100% of a sample , we can keep dividing this number by 2 until we reach 12.5% to find out how many half lives passed.
Remember, when the sample is still 100%, 0 half lives have passed.
% remaining: 100 > 50 > 25 > 12.5
Half lives: -------0------1------2-------3
3 half lives passed.
Multiply the half life of carbon-14 (5,700 years) by how many half lives passed.
5700 x 3 = 17,100 years
It took 17,100 years for carbon-14 in this sample
of wood to reach 12.5%. Therefore, the estimated age of this sample
is 17,100 years old
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