Chemistry: Carbon Dating The remnants of an ancient fire in a cave in Africa showed a

Chapter 4, Problem 71

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Chemistry: Carbon Dating The remnants of an ancient fire in a cave in Africa showed a (carbon-14) decay rate of 3.1 counts per minute per gram of carbon. Assuming that the decay rate of in freshly cut wood (corrected for changes in the content of the atmosphere) is 13.6 counts per minute per gram of carbon, calculate the age of the remnants. The half-life of is 5715 years. Use the integrated first-order rate law, where N is the number of nuclides present at time t, is the number of nuclides present at time 0, and t is the time of the fire. (Source: Adapted from Zumdahl, Chemistry, Sixth Edition)

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