The radioisotope 13¹1 is used to study Grave's disease, a disorder of the thyroid gland. ¹3¹1 has a half-life of 8.03 days. 1311 decay product time = 0 How much time has elapsed for the process shown above? Determine the decay constant for ¹3¹1. d-¹ time = ? d Starting with 78.0 mg ¹3¹1, how much of this radioisotope is left after 3.00 weeks? mg

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Chapter1: Chemical Foundations
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## Question 5

The radioisotope \(^{131}\text{I}\) is used to study Grave's disease, a disorder of the thyroid gland. \(^{131}\text{I}\) has a half-life of 8.03 days.

### Visual Representation:

#### Symbols:
- **Blue circles**: Represent \(^{131}\text{I}\)
- **Gray circles**: Represent decay products

#### Diagram:
- **Time = 0**: All circles are blue, indicating that the sample is entirely \(^{131}\text{I}\).
- **Time = ?**: Most circles are gray with only one blue circle, indicating that most of the \(^{131}\text{I}\) has decayed.

### Questions:

1. **How much time has elapsed for the process shown above?**
   - Answer: \_\_\_ days

2. **Determine the decay constant for \(^{131}\text{I}\).**
   - Answer: \_\_\_ \(\text{d}^{-1}\)

3. **Starting with 78.0 mg \(^{131}\text{I}\), how much of this radioisotope is left after 3.00 weeks?**
   - Answer: \_\_\_ mg
Transcribed Image Text:## Question 5 The radioisotope \(^{131}\text{I}\) is used to study Grave's disease, a disorder of the thyroid gland. \(^{131}\text{I}\) has a half-life of 8.03 days. ### Visual Representation: #### Symbols: - **Blue circles**: Represent \(^{131}\text{I}\) - **Gray circles**: Represent decay products #### Diagram: - **Time = 0**: All circles are blue, indicating that the sample is entirely \(^{131}\text{I}\). - **Time = ?**: Most circles are gray with only one blue circle, indicating that most of the \(^{131}\text{I}\) has decayed. ### Questions: 1. **How much time has elapsed for the process shown above?** - Answer: \_\_\_ days 2. **Determine the decay constant for \(^{131}\text{I}\).** - Answer: \_\_\_ \(\text{d}^{-1}\) 3. **Starting with 78.0 mg \(^{131}\text{I}\), how much of this radioisotope is left after 3.00 weeks?** - Answer: \_\_\_ mg
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