SOLUTION: The half-life of carbon-14 is 5730 years. This means that every 5730 years the amount is reduced by 50 percent. Assume there are three milligrams of carbon in a piece of wood. How
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Question 842021: The half-life of carbon-14 is 5730 years. This means that every 5730 years the amount is reduced by 50 percent. Assume there are three milligrams of carbon in a piece of wood. How much carbon-14 will be in the piece of wood 1000 years from now?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
A diagram in a wikipedia article suggests that for dead wood, the portion of carbon as C-14 is 3.6%. Your piece of wood would have an estimated milligrams of C-14 now.
DECAY EQUATION
, I initial amount, t years, A amount at t years, k a constant, e Euler Number
Half-Life A=I/2, so equation becomes
and we also expect t=5730 for this half-life,
-
The decay equation may be
Your question specifies a calculable 0.108 milligrams of Carbon 14 at present now, and to find how much will be present for t=1000 years.
-
I=0.108 and t=1000;
Find A.
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