Question
Asked Feb 14, 2020
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Be sure to answer all parts.
Archaeologists can determine the age of artifacts made of wood or bone by measuring the amount of the
radioactive isotope 1"C present in the object. The amount of isotope decreases in a first-order process. If
22.2% of the original amount of 14C is present in a wooden tool at the time of analysis, what is the age
of the tool? The half-life of 14C is 5,730 yr. Give your answer in scientific notation.
14,
x 10
yr
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Be sure to answer all parts. Archaeologists can determine the age of artifacts made of wood or bone by measuring the amount of the radioactive isotope 1"C present in the object. The amount of isotope decreases in a first-order process. If 22.2% of the original amount of 14C is present in a wooden tool at the time of analysis, what is the age of the tool? The half-life of 14C is 5,730 yr. Give your answer in scientific notation. 14, x 10 yr

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Expert Answer

Step 1

The rate constant (k) of the given first-order process is calculated using equation (1) in which t1/2 is the half life of carbon-14.

Chemistry homework question answer, step 1, image 1

Step 2

The ratio of the amount present at the time of analysis (A) to the original amount (Ao) is calculated as follows:

Chemistry homework question answer, step 2, image 1

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