Question

The isotope ^{14}_{6}C has a half-life of 5,730
years. If a fossil is found to contain 1/64^{th} the amount
of carbon-14 as is typically found in a living plant or animal, how
old is the fossil?

Answer #1

Half life of the isotope carbon-14 = T_{1/2} = 5730
years

Decay constant =

= 1.20968 x 10^{-4} years^{-1}

Amount of carbon-14 found in a living plant or animal =
N_{0}

Amount of carbon-14 found in the fossil = N =
N_{0}/64

Age of the fossil = T

Taking natural log on both sides,

T = 34380 years

**Age of the fossil = 34380 years**

Carbon-14 has a half-life of 5,730 years. A fossil is found that
has 28% of the carbon-14 found in a living sample. How old is the
fossil? (Round your answer to the nearest year.)

If the half life of Carbon 14 is about 5,730 years, then a
fossil that has 1/4 the normal proportion of Carbon 14 to Carbon 12
should be how old?
20,900
2,800
17,200
1,400
11,400

The following isotope has a half-life of 5,730 years. If we have
8.7×10-4 μμg of sample, how many years will pass until only 29% of
the original sample remains. The decay follows first-order
kinetics.

Carbon 14 (146C, mass of 14.003242u, half-life of 5730 years)
can be used to date things that were once living. When a particular
tree fell, a chunk of that tree would have had an activity of 15
decays/minute. Now, that chunk of the tree has a total of 1x10-12 g
of carbon 14 in it. How long ago did the tree fall? [3436.6
yrs]

A fossil was analyzed and determined to have a carbon-14 level
that is 20 % that of living organisms. The half-life of C-14 is
5730 years. How old is the fossil?

The half-life of carbon-14 is 5,730 years. An artifact produces
13.3 disintegrations of 14C per minute per gram of carbon in the
sample. Estimate the age of this sample assuming that its original
radioactivity was 15.3 disintegrations per minute per gram of
carbon.

The half-life of 14C is 5,730 years. If a sample contained 100
percent 14C and 0 percent 14N at a point in time 17,190 years ago,
then what percentage of 14C would it contain today

Carbon 14 is a radioactive isotope of carbon, the most common
isotope of carbon being carbon 12. Carbon 14 is created when cosmic
ray bombardment changes nitrogen 14 to carbon 14 in the upper
atmosphere. The resulting carbon 14 combines with atmospheric
oxygen to form radioactive carbon dioxide, which is incorporated
into plants by photosynthesis. Animals acquire carbon 14 by eating
plants. When an animal or plant dies, it ceases to take on carbon
14, and the amount of isotope...

9. C-14 decays to N-14 by beta emission with a half-life of 5730
years. What is the age of an artifact that has a ratio of N-14 to
C-14 of 15:1?
10. Refer to question 9 above: If an artifact is found to be
34,380 years old, what fraction of the original amount of C-14
isotope in the artifact has decayed?

Part A)
The radioactive element carbon-14 has a half-life of 5750
years. A scientist determined that the bones from a mastodon had
lost 76.176.1% of their carbon-14. How old were the bones at the
time they were discovered?
Part B)
The radioactive element carbon-14 has a half-life of 5750
years. A scientist determined that the bones from a mastodon had
lost 63.763.7% of their carbon-14. How old were the bones at the
time they were discovered?

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