A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 2.00 μµmol of the radionuclide. First, order the samples by decreasing initial radioactivity. Then calculate how long it will take for the amount of radionuclide in each sample to decrease to 1/8 of the initial amount. A
A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 2.00 μµmol of the radionuclide. First, order the samples by decreasing initial radioactivity. Then calculate how long it will take for the amount of radionuclide in each sample to decrease to 1/8 of the initial amount. A
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Chapter20: Nuclear Chemistry
Section: Chapter Questions
Problem 20.27QP
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![### Understanding Radionuclide Decay in Medical Applications
A medical technician is working with four samples of radionuclides listed in the table below. Initially, each sample contains 2.00 µmol of the radionuclide.
#### Task:
1. Order the samples by decreasing initial radioactivity.
2. Calculate the time required for the amount of radionuclide in each sample to decrease to 1/8 of the initial amount.
| Sample | Radionuclide | | Initial Radioactivity | Time for Amount to Decrease to 1/8 of Initial Amount |
|--------|--------------|---------|-----------------------|------------------------------------------------------|
| | Symbol | Half-Life | | |
| A | Pb-212 | 11 hours | (choose one) | [ ] hours |
| B | Lu-177 | 7.0 days | (choose one) | [ ] days |
| C | Rh-105 | 35.0 hours | (choose one) | [ ] hours |
| D | Ga-68 | 68.0 minutes | (choose one) | [ ] minutes |
#### Explanation of Calculations:
**Half-Life and Decay:**
- The half-life of a substance is the time required for half of the radionuclide to decay.
- To find the time for the radionuclide to decrease to 1/8 (i.e., one-eighth) of the initial amount, consider the number of half-lives required.
**Steps:**
1. One half-life reduces the amount to 1/2.
2. Two half-lives reduce the amount to 1/4.
3. Three half-lives reduce the amount to 1/8.
Therefore, it takes 3 half-lives for the radionuclide to decrease to 1/8 of the initial amount.
To calculate:
- Multiply the half-life by 3.
For example:
- For Pb-212 (Half-life = 11 hours): Time to decrease to 1/8 = 11 hours * 3 = 33 hours.
- For Lu-177 (Half-life = 7.0 days): Time to decrease to 1/8 = 7.0 days * 3 = 21 days.
- For Rh-105 (Half-life = 35.0 hours): Time](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0633024-a4bc-4f66-b9e9-fd2e8bdcc354%2F4262f9aa-f69d-48f3-8cbb-41c4f23c1df1%2Fzi4ui4f_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Radionuclide Decay in Medical Applications
A medical technician is working with four samples of radionuclides listed in the table below. Initially, each sample contains 2.00 µmol of the radionuclide.
#### Task:
1. Order the samples by decreasing initial radioactivity.
2. Calculate the time required for the amount of radionuclide in each sample to decrease to 1/8 of the initial amount.
| Sample | Radionuclide | | Initial Radioactivity | Time for Amount to Decrease to 1/8 of Initial Amount |
|--------|--------------|---------|-----------------------|------------------------------------------------------|
| | Symbol | Half-Life | | |
| A | Pb-212 | 11 hours | (choose one) | [ ] hours |
| B | Lu-177 | 7.0 days | (choose one) | [ ] days |
| C | Rh-105 | 35.0 hours | (choose one) | [ ] hours |
| D | Ga-68 | 68.0 minutes | (choose one) | [ ] minutes |
#### Explanation of Calculations:
**Half-Life and Decay:**
- The half-life of a substance is the time required for half of the radionuclide to decay.
- To find the time for the radionuclide to decrease to 1/8 (i.e., one-eighth) of the initial amount, consider the number of half-lives required.
**Steps:**
1. One half-life reduces the amount to 1/2.
2. Two half-lives reduce the amount to 1/4.
3. Three half-lives reduce the amount to 1/8.
Therefore, it takes 3 half-lives for the radionuclide to decrease to 1/8 of the initial amount.
To calculate:
- Multiply the half-life by 3.
For example:
- For Pb-212 (Half-life = 11 hours): Time to decrease to 1/8 = 11 hours * 3 = 33 hours.
- For Lu-177 (Half-life = 7.0 days): Time to decrease to 1/8 = 7.0 days * 3 = 21 days.
- For Rh-105 (Half-life = 35.0 hours): Time
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