Radium-226 is radioactive and has a half life of 1600. years. Calculate the activity of a 8.2 mg sample of radium-226. Give your answer in becquerels and in curies. Round your answer to 2 significant digits. ва Dci x10 X
Radium-226 is radioactive and has a half life of 1600. years. Calculate the activity of a 8.2 mg sample of radium-226. Give your answer in becquerels and in curies. Round your answer to 2 significant digits. ва Dci x10 X
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
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Radium-226 Half-Life and Activity Calculation**
Radium-226 is radioactive and has a half-life of 1600 years. Calculate the activity of a 8.2 mg sample of radium-226. Give your answer in becquerels and in curies. Round your answer to 2 significant digits.
**Activity Calculation:**
To solve this, you can use the formula for radioactive decay:
\[ A = \frac{N \cdot \ln(2)}{t_{1/2}} \]
Where:
- \( A \) is the activity,
- \( N \) is the number of atoms,
- \( t_{1/2} \) is the half-life.
First, calculate the number of atoms \( N \) using the sample mass and molar mass of radium-226. Then, convert this into activity in becquerels and curies.
**Unit Options:**
- Bq: Becquerels
- Ci: Curies
Make sure to select the correct units for your final answer.
Note: The diagram includes icons for selecting units and an option for rounding the answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf266520-407e-4b51-839c-e1d92d759be6%2Fd3bffd25-e18f-4cbb-b42f-76a83021ffac%2Fkdc17ha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Radium-226 Half-Life and Activity Calculation**
Radium-226 is radioactive and has a half-life of 1600 years. Calculate the activity of a 8.2 mg sample of radium-226. Give your answer in becquerels and in curies. Round your answer to 2 significant digits.
**Activity Calculation:**
To solve this, you can use the formula for radioactive decay:
\[ A = \frac{N \cdot \ln(2)}{t_{1/2}} \]
Where:
- \( A \) is the activity,
- \( N \) is the number of atoms,
- \( t_{1/2} \) is the half-life.
First, calculate the number of atoms \( N \) using the sample mass and molar mass of radium-226. Then, convert this into activity in becquerels and curies.
**Unit Options:**
- Bq: Becquerels
- Ci: Curies
Make sure to select the correct units for your final answer.
Note: The diagram includes icons for selecting units and an option for rounding the answer.
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