Question

The carbon-14 decay rate of a sample obtained from a young tree is 0.260 disintegration per second per gram of sample. Another wood sample found at an archaeological excavation gives a decay rate of 0.128 disintegration per second per gram of sample. Carbon-14 half-life is 5730 yr. What is the age in years of the wood object.

The answer is not 3040 yrs. I've worked it several times and that what I get, but the correct answer is more like 2700 yrs.

Answer #1

30.The carbon−14 decay rate of a sample obtained from a young
tree is 0.490 disintegration per second per gram of the sample.
Another wood sample prepared from an object recovered at an
archaeological excavation gives a decay rate of 0.182
disintegration per second per gram of the sample. What is the age
of the object? Hint: The rate constant for carbon−14 decomposition
is 1.21 × 10−4 yr−1. Report your answer to 3 significant figures.
in scientific notation
31.Consider the following...

44g of petrified wood was found in a petrified forest. A sample
showed a carbon-14 activity of 100 decays/minutes. How long has the
tree been dead (in years)? (The half-life of carbon-14 is 5730
years and freshly cut wood has a carbon-14 activity of 14.96
decays/min per gram.)

A sample of a wood carving from an archaeological dig gave
20,400 disintegrations per gram of carbon per day. A 1.00g sample
of carbon from a modern source gave 22,080 disinegrations per day.
If the decay constant of carbon-14 is 1.2x10^(-4) year^(-1) , how
old is the wood?

A nuclear reaction involves the first order decay from and has a
half-life of 5730 yr. Living organisms have a 14C decay rate of
0.85 disintegrations per minute per gram of carbon. What is the
value for the rate constant for this decay? If the initial
concentration of 14C in a sample were 8.82 x 10-3 M, how much would
remain after 936 years?

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