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1. If the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives?

1. If the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives?

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Answer 2 and 3

2. The FINAL ANSWER to PROBLEM # 1 Is?:

A. one sixththe original amount of parent isotope
B. 8 grams
C. 6 grams 
D. 4.8 grams

3. Which of the following best describe the solution to your final answer in PROBLEM # 2?

A. 1/6 * 10 mg
B. 1/8 * 10 g
C. 1/8 * 1 g
D. 1/8 * 0.1 g

APPLICATION: Having learned the process on how to do absolute datina through radiocarbon rdating, you are now rearlv to solve the following problems on absolute dating. 1. If the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives? 2. A parent isotope has a half-life of 500 000 years. If a rock contained 10 mg of the parent isotope when it formed, how much parent isotope would be left after 1.5 million years? 3. A sample of wood from an Egyptian mummy case taken from an archaeological site is subjected to radiocarbon dating. The activity due to 14C has a specific activity of 10.41 d/min.g. The activity of a carbon sample of equal mass from fresh wood is 16.3 d/m.g. How old is the case? 4. The remnants of an ancient fire in a cave in Africa showed a C decay rate of 3.9 counts per minute per gram of carbon. If the decay rate in C-14 in freshly cut wood, is 13.6 counts per minute per gram of carbon, how many years ago did the campfire occur? 5. A rock contains 0.257 mg of Pb-206 for everv milligram of U-238.The half-life for the decay of U-238 to Pb-206 is 4.5 x 10°. How old is the rock?
Transcribed Image Text:APPLICATION: Having learned the process on how to do absolute datina through radiocarbon rdating, you are now rearlv to solve the following problems on absolute dating. 1. If the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives? 2. A parent isotope has a half-life of 500 000 years. If a rock contained 10 mg of the parent isotope when it formed, how much parent isotope would be left after 1.5 million years? 3. A sample of wood from an Egyptian mummy case taken from an archaeological site is subjected to radiocarbon dating. The activity due to 14C has a specific activity of 10.41 d/min.g. The activity of a carbon sample of equal mass from fresh wood is 16.3 d/m.g. How old is the case? 4. The remnants of an ancient fire in a cave in Africa showed a C decay rate of 3.9 counts per minute per gram of carbon. If the decay rate in C-14 in freshly cut wood, is 13.6 counts per minute per gram of carbon, how many years ago did the campfire occur? 5. A rock contains 0.257 mg of Pb-206 for everv milligram of U-238.The half-life for the decay of U-238 to Pb-206 is 4.5 x 10°. How old is the rock?
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