Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
**Cesium 137 Half-Life Calculation**

Cesium 137 is a radioactive element that was released into the atmosphere during the Chernobyl Nuclear Power Plant accident in 1986. The half-life of Cesium 137 is 30 years. If 27 kg were released into the atmosphere in 1986, then how much will remain in 2030?

To calculate the remaining amount of Cesium 137 in 2030, we use the concept of half-life, which is the time it takes for half of a given amount of a radioactive substance to decay.

1. **Determine the Time Passed**: 
   - From 1986 to 2030, a total of 44 years have passed.

2. **Calculate the Number of Half-Lives**:
   - Divide the number of years by the half-life of Cesium 137.
   - 44 years / 30 years per half-life ≈ 1.47 half-lives.

3. **Calculate Remaining Quantity**:
   - Use the formula: Remaining amount = Initial amount × (1/2)^(number of half-lives).
   - Remaining amount = 27 kg × (1/2)^1.47 ≈ 27 kg × 0.352 ≈ 9.504 kg.

Thus, approximately 9.504 kg of Cesium 137 would remain in 2030.
expand button
Transcribed Image Text:**Cesium 137 Half-Life Calculation** Cesium 137 is a radioactive element that was released into the atmosphere during the Chernobyl Nuclear Power Plant accident in 1986. The half-life of Cesium 137 is 30 years. If 27 kg were released into the atmosphere in 1986, then how much will remain in 2030? To calculate the remaining amount of Cesium 137 in 2030, we use the concept of half-life, which is the time it takes for half of a given amount of a radioactive substance to decay. 1. **Determine the Time Passed**: - From 1986 to 2030, a total of 44 years have passed. 2. **Calculate the Number of Half-Lives**: - Divide the number of years by the half-life of Cesium 137. - 44 years / 30 years per half-life ≈ 1.47 half-lives. 3. **Calculate Remaining Quantity**: - Use the formula: Remaining amount = Initial amount × (1/2)^(number of half-lives). - Remaining amount = 27 kg × (1/2)^1.47 ≈ 27 kg × 0.352 ≈ 9.504 kg. Thus, approximately 9.504 kg of Cesium 137 would remain in 2030.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY