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The Half Life for the first order radioactive decay molybdenium is 66 hours. After 4 half lives, & Of 99 remains 99 what percentage of a sample of HOLL [W] =002) [1²7 = 500 PHOT

The Half Life for the first order radioactive decay molybdenium is 66 hours. After 4 half lives, & Of 99 remains 99 what percentage of a sample of HOLL [W] =002) [1²7 = 500 PHOT

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Title: Understanding Radioactive Decay: Molybdenum-99 Half-Life Calculation** **Text:** The half-life for the first-order radioactive decay of Molybdenum-99 (\(^{99}\text{Mo}\)) is 66 hours. After 4 half-lives, what percentage of a sample of \(^{99}\text{Mo}\) remains? **Explanation:** The concept of half-life is crucial in understanding radioactive decay. A half-life is the time required for half of the radioactive atoms in a sample to decay. In this example, we examine Molybdenum-99, a radioactive isotope with a half-life of 66 hours. After each half-life, the amount of the original radioactive material that remains is halved. Thus: - After 1 half-life (66 hours), 50% remains. - After 2 half-lives (132 hours), 25% remains. - After 3 half-lives (198 hours), 12.5% remains. - After 4 half-lives (264 hours), 6.25% remains. This illustrates the exponential nature of radioactive decay, where the quantity of undecayed material decreases by half with each successive half-life. Understanding this principle is key for fields such as nuclear medicine, archaeology, and environmental science.
Transcribed Image Text:**Title: Understanding Radioactive Decay: Molybdenum-99 Half-Life Calculation** **Text:** The half-life for the first-order radioactive decay of Molybdenum-99 (\(^{99}\text{Mo}\)) is 66 hours. After 4 half-lives, what percentage of a sample of \(^{99}\text{Mo}\) remains? **Explanation:** The concept of half-life is crucial in understanding radioactive decay. A half-life is the time required for half of the radioactive atoms in a sample to decay. In this example, we examine Molybdenum-99, a radioactive isotope with a half-life of 66 hours. After each half-life, the amount of the original radioactive material that remains is halved. Thus: - After 1 half-life (66 hours), 50% remains. - After 2 half-lives (132 hours), 25% remains. - After 3 half-lives (198 hours), 12.5% remains. - After 4 half-lives (264 hours), 6.25% remains. This illustrates the exponential nature of radioactive decay, where the quantity of undecayed material decreases by half with each successive half-life. Understanding this principle is key for fields such as nuclear medicine, archaeology, and environmental science.
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Step 1

Recall the data,

Half life of Mo=66 hours

number of half life=4

% of sample remain=?

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