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Only 15% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a
half-life of 5,700 years. Round your answer to the nearest thousand years.)
Solution
Carbon-14 has a half-life of 5,700 years
Decay constant = 0.693/half life = 0.693/5700 =0.00012157
N(t) = Noe^(-kt)
= Noe^(-0.00012157t)
Remaining 15%
So, 0.15 No = Noe^(-0.00012157t)
ln0.15 = -0.00012157t
t =15.60 thousand yrs = 16 thousand years

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Only 15 of the carbon-14 in a wooden bowl remains. How old is the b.pdf

  • 1. Only 15% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life of 5,700 years. Round your answer to the nearest thousand years.) Solution Carbon-14 has a half-life of 5,700 years Decay constant = 0.693/half life = 0.693/5700 =0.00012157 N(t) = Noe^(-kt) = Noe^(-0.00012157t) Remaining 15% So, 0.15 No = Noe^(-0.00012157t) ln0.15 = -0.00012157t t =15.60 thousand yrs = 16 thousand years