- 1/5 Arvind A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 15.00 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 1/16 of the initial amount. 9 radionuclide sample initial radioactivity time for amount of radionuclide to decrease to 1/16 of initial amount symbol do 194 A Os (choose one) years 76 96 B (choose one) ✓ days 43 212 с (choose one) ✓ hours 82 88 D (choose one) ✓ days 39 Tc Pb Y half-life 6.0 years 4.0 days 11. hours. 107. days X 5 ?

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### Nuclear Chemistry: Understanding Radioactive Half-Life

A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 15.00 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 1/16 of the initial amount.

| Sample | Radionuclide | Half-Life          | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/16 of Initial Amount        |
|--------|--------------|--------------------|-----------------------|------------------------------------------------------------------------------|
| A      | \( \text{Os}^{194}_{76} \)       | 6.0 years             | (choose one)            | \_\_\_\_\ years                                                                               |
| B      | \( \text{Tc}^{96}_{43} \)        | 4.0 days              | (choose one)            | \_\_\_\_\ days                                                                                |
| C      | \( \text{Pb}^{212}_{82} \)       | 11. hours             | (choose one)            | \_\_\_\_\ hours                                                                               |
| D      | \( \text{Y}^{88}_{39} \)         | 107. days             | (choose one)            | \_\_\_\_\ days                                                                                |

#### Explanation:
- The table presents four samples (A, B, C, and D) along with their respective radionuclides and half-lives.
- You need to select the initial radioactivity of each sample and calculate the time it takes for each radionuclide to decrease to \( \frac{1}{16} \) of its initial amount.
- Hint: To determine the time it takes for a substance to reduce to \( \frac{1}{16} \) of its initial amount, remember that \( \frac{1}{16} \) corresponds to 4 half-lives (since \( (1/2)^4 = 1/16 \)).

This activity helps in understanding the concept of half-lives and the exponential decay of radioactive substances.
Transcribed Image Text:### Nuclear Chemistry: Understanding Radioactive Half-Life A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 15.00 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 1/16 of the initial amount. | Sample | Radionuclide | Half-Life | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/16 of Initial Amount | |--------|--------------|--------------------|-----------------------|------------------------------------------------------------------------------| | A | \( \text{Os}^{194}_{76} \) | 6.0 years | (choose one) | \_\_\_\_\ years | | B | \( \text{Tc}^{96}_{43} \) | 4.0 days | (choose one) | \_\_\_\_\ days | | C | \( \text{Pb}^{212}_{82} \) | 11. hours | (choose one) | \_\_\_\_\ hours | | D | \( \text{Y}^{88}_{39} \) | 107. days | (choose one) | \_\_\_\_\ days | #### Explanation: - The table presents four samples (A, B, C, and D) along with their respective radionuclides and half-lives. - You need to select the initial radioactivity of each sample and calculate the time it takes for each radionuclide to decrease to \( \frac{1}{16} \) of its initial amount. - Hint: To determine the time it takes for a substance to reduce to \( \frac{1}{16} \) of its initial amount, remember that \( \frac{1}{16} \) corresponds to 4 half-lives (since \( (1/2)^4 = 1/16 \)). This activity helps in understanding the concept of half-lives and the exponential decay of radioactive substances.
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