19. Manganese-56 decays by beta emission and has a half-life of 2.6 hours. How many mg of a 20.0mg sample will remain after 13 hours?

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**19. Manganese-56 decays by beta emission and has a half-life of 2.6 hours. How many mg of a 20.0 mg sample will remain after 13 hours?**

**20. Uranium-238 has a half-life of 4.46 billion years. How long will it take for a 12 g sample to decay to 0.1875 g?** 

*Note: The document includes two questions on the topic of radioactive decay, focusing on calculating remaining sample amounts based on given half-lives.*
Transcribed Image Text:**19. Manganese-56 decays by beta emission and has a half-life of 2.6 hours. How many mg of a 20.0 mg sample will remain after 13 hours?** **20. Uranium-238 has a half-life of 4.46 billion years. How long will it take for a 12 g sample to decay to 0.1875 g?** *Note: The document includes two questions on the topic of radioactive decay, focusing on calculating remaining sample amounts based on given half-lives.*
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**16.** A doctor suspects that his patient may have Grave’s Disease, a thyroid disorder. To be sure, he asks the technician to perform radionuclide scanning. This procedure requires the use of iodine-131, which, when given in small doses, is used as a medical tracer to detect thyroid disorders. A patient swallows 10 grams of the iodine-131. Sixteen days later, the detectors observe 2.5 grams of iodine in the patient’s thyroid. What is the half-life of iodine-131?

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**17.** To prevent food spoilage, food can be irradiated with gamma rays from cobalt-60. If the half-life of cobalt-60 is 5.3 years, how much of a 75g sample will remain after 1.3 years?

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**18.** Scientists use carbon-14 dating to determine the age of archeological artifacts up to 50,000 years old. Carbon-14 has a half-life of 5730 years. A 10,000 year old fossil currently contains 1.8g of carbon-14. How many grams of carbon-14 did the fossil originally contain?

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Transcribed Image Text:Sure! Here is the transcription of the image content suitable for an educational website: --- **16.** A doctor suspects that his patient may have Grave’s Disease, a thyroid disorder. To be sure, he asks the technician to perform radionuclide scanning. This procedure requires the use of iodine-131, which, when given in small doses, is used as a medical tracer to detect thyroid disorders. A patient swallows 10 grams of the iodine-131. Sixteen days later, the detectors observe 2.5 grams of iodine in the patient’s thyroid. What is the half-life of iodine-131? --- **17.** To prevent food spoilage, food can be irradiated with gamma rays from cobalt-60. If the half-life of cobalt-60 is 5.3 years, how much of a 75g sample will remain after 1.3 years? --- **18.** Scientists use carbon-14 dating to determine the age of archeological artifacts up to 50,000 years old. Carbon-14 has a half-life of 5730 years. A 10,000 year old fossil currently contains 1.8g of carbon-14. How many grams of carbon-14 did the fossil originally contain? ---
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