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