## Radioactive Decay of Radionuclides: An Educational Exercise### ObjectiveA medical technician is working with four samples of radionuclides as listed in the table below. Each sample initially contains 7.00 µmol of the radionuclide. The tasks are as follows:1. Order the samples by their initial radioactivity.2. Calculate the time it will take for the amount of radionuclide in each sample to decrease to 1/32 of the initial amount.### Data TableThe table below contains the necessary data for the radionuclides:| Sample | Radionuclide Symbol | Half-Life | Initial Radioactivity | Time for Amount of Radionuclide to Decrease to 1/32 of Initial Amount ||--------|----------------------| --------- |-----------------------|---------------------------------------------------------------------|| A | ^67_31 Ga | 78.0 hours| (Choose one) | \_\_\_\_ hours || B | ^11_6 C | 20.0 minutes| (Choose one) | \_\_\_\_ minutes || C | ^149_65 Tb | 4.0 hours | (Choose one) | \_\_\_\_ hours || D | ^122_53 I | 4.0 minutes | (Choose one) | \_\_\_\_ minutes |### Instructions for Calculation1. **Order by Initial Radioactivity**: Determine the initial radioactivity (in decays per minute or similar units) for each sample to rank them in descending order. 2. **Calculate Time to Decrease to 1/32 of the Initial Amount**: - The decay of a radionuclide follows an exponential decay law, and the time (T) to reduce the quantity to 1/N of its initial amount is given by: \[ T = (\text{half-life}) \times \left(\frac{\log(N)}{\log(2)}\right) \] - For N = 32, the formula becomes: \[ T = (\text{half-life}) \times \frac{\log(32)}{\log(2)} \] Since \( \log(32)/\log(2) = 5 \): \[ T = 5 \times (\text{half-life

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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 1/32 of the initial amount.

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 1/32 of the initial amount.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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