A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 17.00 umol 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 1/32 of the initial amount. radionuclide olo sample initial radioactivity time for amount of radionuclide to decrease to 1/32 of initial amount Ar A days B days hours D hours symbol 192 Ir 77 188 74 62 30 67 31 W Zn Ga half-life 74.0 days 69.0 days 9.0 hours 78.0 hours (choose one) (choose one) (choose one) (choose one)

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### Radionuclide Half-Life Experiment

A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 17.00 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 1/32 of the initial amount.

#### Table of Radionuclides

| Sample | Radionuclide | Symbol | Half-Life       | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/32 of Initial Amount |
|--------|--------------|--------|-----------------|-----------------------|----------------------------------------------------------------------|
| A      | Iridium      | \( \ce{{}^{192}_{77}Ir} \) | 74.0 days             | (choose one)           | _____ days                                                              |
| B      | Tungsten     | \( \ce{{}^{188}_{74}W} \) | 69.0 days             | (choose one)           | _____ days                                                              |
| C      | Zinc         | \( \ce{{}^{62}_{30}Zn} \) | 9.0 hours             | (choose one)           | _____ hours                                                             |
| D      | Gallium      | \( \ce{{}^{67}_{31}Ga} \) | 78.0 hours            | (choose one)           | _____ hours                                                             |

Note: Each sample contains an initial quantity of 17.00 μmol. The goal is to determine the time required for each radionuclide to decrease to 1/32 of its initial amount, and to sort the samples according to their initial radioactivity.
Transcribed Image Text:### Radionuclide Half-Life Experiment A medical technician is working with the four samples of radionuclides listed in the table below. Initially, each sample contains 17.00 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 1/32 of the initial amount. #### Table of Radionuclides | Sample | Radionuclide | Symbol | Half-Life | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/32 of Initial Amount | |--------|--------------|--------|-----------------|-----------------------|----------------------------------------------------------------------| | A | Iridium | \( \ce{{}^{192}_{77}Ir} \) | 74.0 days | (choose one) | _____ days | | B | Tungsten | \( \ce{{}^{188}_{74}W} \) | 69.0 days | (choose one) | _____ days | | C | Zinc | \( \ce{{}^{62}_{30}Zn} \) | 9.0 hours | (choose one) | _____ hours | | D | Gallium | \( \ce{{}^{67}_{31}Ga} \) | 78.0 hours | (choose one) | _____ hours | Note: Each sample contains an initial quantity of 17.00 μmol. The goal is to determine the time required for each radionuclide to decrease to 1/32 of its initial amount, and to sort the samples according to their initial radioactivity.
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