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A mammoth skeleton has a carbon-14 content of 3.125% of that found in living organisms. When did the mammoth live?
_____ years ago

i got 28650

2006-10-11 13:28:30 · 1 answers · asked by Krazyk78 1 in Education & Reference Homework Help

1 answers

C14 has a half life of 5730 years.
% left = 1/2 (t/λ) where t is the time elapsed, and λ is the half life.
1/2 (t/5730) = 3.125%

Use the logarithm function to drop the exponent:
t/5730 log 1/2 = log .03125
t = (5730 * log .03125) / log 1/2)
t = -8624.509 / -0.3010 = 28650 years

Thus, you are correct!

2006-10-12 03:47:46 · answer #1 · answered by ³√carthagebrujah 6 · 0 0

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