The half-life of iodine-131, an isotope used in thyroid therapy, is 8.021 days. What percentage of iodine-131 remains in a sample that is estimated to be 40.11 days old?
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17. Radioactivity and Nuclear Chemistry
Radioactive Half-Life
Problem 54
Textbook Question
What does it mean when we say that strontium-90, a waste product of nuclear power plants, has a half-life of 28.8 years?
Verified step by step guidance1
Understand the concept of half-life: The half-life of a radioactive isotope is the time required for half of the radioactive atoms in a sample to decay.
Identify the isotope in question: In this case, it is strontium-90, a radioactive waste product from nuclear power plants.
Relate the half-life to the decay process: A half-life of 28.8 years means that every 28.8 years, half of the strontium-90 atoms in a sample will have decayed into another element or isotope.
Consider the implications: After one half-life (28.8 years), 50% of the original strontium-90 remains. After two half-lives (57.6 years), 25% remains, and so on.
Recognize the environmental impact: Understanding the half-life helps in assessing the long-term environmental and health impacts of strontium-90 as a nuclear waste product.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Half-Life
Half-life is the time required for half of the radioactive atoms in a sample to decay into a more stable form. This concept is crucial in understanding the rate of radioactive decay and helps predict how long it will take for a substance to reduce to a certain level of radioactivity. For strontium-90, a half-life of 28.8 years means that after this period, half of the original amount will have decayed.
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Radioactive Decay
Radioactive decay is the process by which unstable atomic nuclei lose energy by emitting radiation. This can occur in various forms, including alpha, beta, and gamma decay. Understanding this process is essential for grasping how radioactive isotopes like strontium-90 transform over time and the implications for safety and environmental impact.
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Nuclear Waste
Nuclear waste refers to materials that remain radioactive and hazardous after nuclear reactions, such as those occurring in power plants. Strontium-90 is a byproduct of nuclear fission and poses health risks due to its radioactivity. Understanding the management and decay of nuclear waste is vital for ensuring environmental safety and public health.
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