Campbell Biology 11th Edition by Lisa Urry,Michael Cain,Steven Wasserman,Peter Minorsky,Jane Reece

Exercise 14

Calibrating a Standard Radioactive Isotope Decay Curve and Interpreting Data
How Long Might Neanderthals Have Co-Existed with Modern Humans ( Homo sapiens ) Neanderthals ( Homo neanderthalensis ) were living in Europe by 350,000 years ago and may have coexisted with early Homo sapiens in parts of Eurasia for hundreds or thousands of years before Neanderthals became extinct. Researchers sought to more accurately determine the extent of their overlap by pinning down the latest date Neanderthals still lived in the area. They used carbon-14 dating to determine the age of a Neanderthal fossil from the most recent (uppermost) archeological layer containing Neanderthal bones. In this exercise you will calibrate a standard carbon-14 decay curve and use it to determine the age of this Neanderthal fossil. The age will help you approximate the last time the two species may have coexisted at the site where this fossil was collected.
How the Experiment Was Done Carbon-14 ( ¹⁴C) is a radioactive isotope of carbon that decays to ¹⁴N at a constant rate. ¹⁴C is present in the atmosphere in small amounts at a constant ratio with both ¹³C and ¹²C, two other isotopes of carbon. When carbon is taken up from the atmosphere by a plant during photosynthesis, ¹²C, ¹³C, and ¹⁴C isotopes are incorporated into the plant in the same proportions in which they were present in the atmosphere. These proportions remain the same in the tissues of an animal that eats the plant. While an organism is alive, the ¹⁴C in its body constantly decays to ¹⁴N but is constantly replaced by new carbon from the environment. Once an organism dies, it stops taking in new ¹⁴C but the ¹⁴C in its tissues continues to decay, while the ¹²C in its tissues remains the same because it is not radioactive and does not decay. Thus, scientists can calculate how long the pool of original ¹⁴C has been decaying in a fossil by measuring the ratio of ¹⁴C to ¹²C and comparing it to the ratio of ¹⁴C to ¹²C present originally in the atmosphere. The fraction of ¹⁴C in a fossil compared to the original fraction of ¹⁴C can be converted to years because we know that the half-life of ¹⁴C is 5,730 years-in other words, half of the ¹⁴C in a fossil decays every 5,730 years.
Data from the Experiment The researchers found that the Neanderthal fossil had approximately 0.0078 (or, in scientific notation, 7.8 × 10³ ) as much ¹⁴C as the atmosphere. The following questions will guide you through translating this fraction into the age of the fossil.
The researchers found that the Neanderthal fossil had approximately 0.0078 as much ¹⁴C as found originally in the atmosphere.
(a) Using the numbers on your graph, determine how many half-lives have passed since the Neanderthal died.
(b) Using your ¹⁴C calibration on the x -axis, what is the approximate age of the Neanderthal fossil in years (round off to the nearest thousand)
(c) Approximately when did Neanderthals become extinct according to this study
(d) The researchers cite evidence that modern humans ( H. sapiens ) became established in the same region as the last Neanderthals approximately 39,000-42,000 years ago. What does this suggest about the overlap of Neanderthals and modern humans