Archeologists can determine the age of artifacts made of wood or bone by measuring the amount of the radioactive isotope 14^C present in the object. The amount of isotope decreases in a first-order process. If 24.6% of the original amount of 14^C is present in a wooden tool at the time of analysis, what is the age of the tool? The half-life of 14C is 5730 yr. (answer in scientific notation)
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Step 1
Step 1: Start with the equation for first-order decay: \(y = y_0 \times 2^{-\frac{t}{t_{1/2}}}\), where \(y\) is the amount present after time \(t\), \(y_0\) is the initial amount, and \(t_{1/2}\) is the half-life. Show more…
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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 14C present in the object. The amount of isotope decreases in a first-order process. If 24.1% 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.
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