A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 7.00 μmol 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 1/4 of the initial amount. sample A B C D symbol 32 15 177 71 188 [३] [४] 27 radionuclide P Lu Re Co half-life 14. days 7.0 days 17. hours 18. hours Initial radioactivity (choose one) (choose one) (choose one) (choose one) time for amount of radionuclide to decrease to 1/4 of initial amount days X days hours hours 3

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A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 7.00 µmol 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 1/4 of the initial amount.

| Sample | Radionuclide Symbol | Half-life | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/4 of Initial Amount |
|--------|----------------------|-----------|-----------------------|--------------------------------------------------------------------|
| A      | 32 P 15              | 14. days  | (choose one)          | [  ] days                                                           |
| B      | 177 Lu 71            | 7.0 days  | (choose one)          | [  ] days                                                           |
| C      | 188 Re 75            | 17. hours | (choose one)          | [  ] hours                                                          |
| D      | 55 Co 27             | 18. hours | (choose one)          | [  ] hours                                                          |

---  

Explanation for Students:
- **Half-life**: The half-life of a radionuclide is the time it takes for half of the radioactive atoms in a sample to decay. It's a measure of how quickly the substance undergoes radioactive decay.
- **Initial Radioactivity**: This column is set for selection by the medical technician to order samples by their initial radioactivity levels.
- **Time for Amount of Radionuclide to Decrease to 1/4 of Initial Amount**: This is where the technician calculates the time it takes for the radionuclide to fall to 25% of its starting value. 

Steps for Calculations:
1. Note the half-lives given for each radionuclide.
2. Understand that to decay to 1/4 (25%) of the original amount, two half-lives are required (since in one half-life, the amount reduces to 50%, and in the next, it reduces to 25%).
3. Multiply the half-life by 2 to find the total time to reach 1/4 of the original amount.

For example, for sample A:
- Half-life is 14 days.
- Time to reach 1/4 amount: 14 days * 2 = 28 days.
Transcribed Image Text:*** A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 7.00 µmol 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 1/4 of the initial amount. | Sample | Radionuclide Symbol | Half-life | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/4 of Initial Amount | |--------|----------------------|-----------|-----------------------|--------------------------------------------------------------------| | A | 32 P 15 | 14. days | (choose one) | [ ] days | | B | 177 Lu 71 | 7.0 days | (choose one) | [ ] days | | C | 188 Re 75 | 17. hours | (choose one) | [ ] hours | | D | 55 Co 27 | 18. hours | (choose one) | [ ] hours | --- Explanation for Students: - **Half-life**: The half-life of a radionuclide is the time it takes for half of the radioactive atoms in a sample to decay. It's a measure of how quickly the substance undergoes radioactive decay. - **Initial Radioactivity**: This column is set for selection by the medical technician to order samples by their initial radioactivity levels. - **Time for Amount of Radionuclide to Decrease to 1/4 of Initial Amount**: This is where the technician calculates the time it takes for the radionuclide to fall to 25% of its starting value. Steps for Calculations: 1. Note the half-lives given for each radionuclide. 2. Understand that to decay to 1/4 (25%) of the original amount, two half-lives are required (since in one half-life, the amount reduces to 50%, and in the next, it reduces to 25%). 3. Multiply the half-life by 2 to find the total time to reach 1/4 of the original amount. For example, for sample A: - Half-life is 14 days. - Time to reach 1/4 amount: 14 days * 2 = 28 days.
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