1. If a sample contains 100 g of a radioactive isotope, how much will be left after 3 half lives? 2. If a sample contains 50g of a radioactive isotope, how much will be left after 2 half lives? 3. If a sample contains 20g of an isotope that has a half life of 1000 years. How much will be left after 2000years?

Chemistry: Principles and Reactions
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Chapter18: Nuclear Reactions
Section: Chapter Questions
Problem 80QAP: Carbon-14 (C-14) with a half-life of 5730 years decays to nitrogen-14 (N-14). A sample of carbon...
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Half-life
of parent
(years)
Isotope
Parent
Daughter
Useful range
(уears)
Nitrogen 14
5,730
100 - 30,000
Carbon 14
100,000 -
4.5 billion
Potassium 40 Argon 40
1.3 billion
10 million -
4.5 billion
Rubidium 87 Strontium 87
47 billion
Uranium 238 Lead 206
Uranium 235
4.5 billion
710 million
10 million-
4.6 billion
Lead 207
1. If a sample contains 100 g of a radioactive isotope, how much will be left after 3 half lives?
2. If a sample contains 50g of a radioactive isotope, how much will be left after 2 half lives?
3. If a sample contains 20g of an isotope that has a half life of 1000 years. How much will be left after 2000years?
4. If a sample has only 20 g remaining after 3 half lives, how much was there to start with?
5. If you start with 1000 g of Carbon 14, how much will remain after 4 half lives?
Transcribed Image Text:Half-life of parent (years) Isotope Parent Daughter Useful range (уears) Nitrogen 14 5,730 100 - 30,000 Carbon 14 100,000 - 4.5 billion Potassium 40 Argon 40 1.3 billion 10 million - 4.5 billion Rubidium 87 Strontium 87 47 billion Uranium 238 Lead 206 Uranium 235 4.5 billion 710 million 10 million- 4.6 billion Lead 207 1. If a sample contains 100 g of a radioactive isotope, how much will be left after 3 half lives? 2. If a sample contains 50g of a radioactive isotope, how much will be left after 2 half lives? 3. If a sample contains 20g of an isotope that has a half life of 1000 years. How much will be left after 2000years? 4. If a sample has only 20 g remaining after 3 half lives, how much was there to start with? 5. If you start with 1000 g of Carbon 14, how much will remain after 4 half lives?
5. If you start with 1000 g of Carbon 14, how much will remain after 4 half lives?
6. Assume you start with 10,000 Carbon 14 atoms. How many will remain after:
2 half lives?
1 half life?
3 half lives?.
7. What is the half life of Potassium 40?,
8. If a fossil originally contained 100,000 Potassium 40 atoms and it now contains only 12,500, how old is the
fossil?
Use the following diagram to answer # 9-11:
O minutes
10 minutes
20 minutes
30 minutes
9. What is the half life of the element in the picture?
Transcribed Image Text:5. If you start with 1000 g of Carbon 14, how much will remain after 4 half lives? 6. Assume you start with 10,000 Carbon 14 atoms. How many will remain after: 2 half lives? 1 half life? 3 half lives?. 7. What is the half life of Potassium 40?, 8. If a fossil originally contained 100,000 Potassium 40 atoms and it now contains only 12,500, how old is the fossil? Use the following diagram to answer # 9-11: O minutes 10 minutes 20 minutes 30 minutes 9. What is the half life of the element in the picture?
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