Predicting the decay mode Based on the valley of stability, the following processes generally tend to produce more stable neutron-to-proton (n/p) ratios: • Nuclei with Z284 tend to undergo a emission. • Nuclei with high n/p ratios undergo B(e) emission. • Heavy nuclei with low nip ratios are more likely to undergo electron (e) capture. • Light nucle with low nip ratios are more likely to undergo positron (e) emission. The classification "high" or "low" nip ratio can be determined by finding the coordinates on the graph that correspond to the number of protons (2 or horizontal value) and neutrons (or vertical value) in a given isotope. Then, observe whether this set of coordinates is above, within, or below the stability valley. Part B Using general tendencies and the chart given in the introduction, predict the most likely mode of decay of each of the following radioactive isotopes. Drag the appropriate items to their respective bins. ▸ View Available Hint(s) Reset Help iridium-104 thorium-232 lodine-137 calcium-50 fuorine-17 a decay Constants adecay emission capture

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**Identification and Characterization of Unstable and Stable Nuclei**

**Nuclear Stability Overview:**
Nuclear stability can be predicted based on several considerations:
- Nuclei with 84 protons or more are generally unstable.
- Nuclei containing a magic number of protons and/or neutrons tend to be stable.
- Stable nuclei often have even numbers of protons and neutrons.

These factors are illustrated in the graph (Figure 1), which shows the valley of stability as a function of the number of neutrons and protons.

**Graph Explanation (Figure 1):**
The graph displays the number of neutrons versus the number of protons. It features a "belt of stability," where stable nuclei lie. There is also a line indicating a 1:1 neutron-to-proton ratio. Nuclei above or below the belt tend to be unstable.

**Predicting the Decay Mode:**
Based on the valley of stability, the following processes can stabilize neutron-to-proton (n/p) ratios:
- Nuclei with atomic number \( Z \geq 84 \) tend to undergo alpha decay.
- Nuclei with a high n/p ratio often undergo beta decay ( \(\beta^-\)).
- Heavy nuclei with low n/p ratios are prone to electron capture (\( \beta^+\), e-capture).
- Light nuclei with low n/p ratios are likely to undergo positron emission (\( \beta^+\)).

To determine the decay mode, find the coordinates on the graph that correspond to the number of protons (horizontal axis) and neutrons (vertical axis) for a given isotope. Then, observe whether the set of coordinates is above, within, or below the stability valley.

**Part B: Exercise**
Using general tendencies and the given chart, predict the most likely decay mode for the listed isotopes. Drag the isotopes to their corresponding decay mode bins:

- **Isotopes:** Iridium-164, Thorium-232, Iodine-137, Calcium-60, Fluorine-17
- **Decay Modes:** 
  - Alpha decay (\(\alpha\))
  - Beta decay (\(\beta\))
  - Positron emission (\(\beta^+\))
  - Electron capture

**Buttons:**
- Reset
- Help
- Submit

**Assessment:**
Provide feedback after predicting the decay modes of each isotope.

_(Copyright © 2022 Pearson
Transcribed Image Text:**Identification and Characterization of Unstable and Stable Nuclei** **Nuclear Stability Overview:** Nuclear stability can be predicted based on several considerations: - Nuclei with 84 protons or more are generally unstable. - Nuclei containing a magic number of protons and/or neutrons tend to be stable. - Stable nuclei often have even numbers of protons and neutrons. These factors are illustrated in the graph (Figure 1), which shows the valley of stability as a function of the number of neutrons and protons. **Graph Explanation (Figure 1):** The graph displays the number of neutrons versus the number of protons. It features a "belt of stability," where stable nuclei lie. There is also a line indicating a 1:1 neutron-to-proton ratio. Nuclei above or below the belt tend to be unstable. **Predicting the Decay Mode:** Based on the valley of stability, the following processes can stabilize neutron-to-proton (n/p) ratios: - Nuclei with atomic number \( Z \geq 84 \) tend to undergo alpha decay. - Nuclei with a high n/p ratio often undergo beta decay ( \(\beta^-\)). - Heavy nuclei with low n/p ratios are prone to electron capture (\( \beta^+\), e-capture). - Light nuclei with low n/p ratios are likely to undergo positron emission (\( \beta^+\)). To determine the decay mode, find the coordinates on the graph that correspond to the number of protons (horizontal axis) and neutrons (vertical axis) for a given isotope. Then, observe whether the set of coordinates is above, within, or below the stability valley. **Part B: Exercise** Using general tendencies and the given chart, predict the most likely decay mode for the listed isotopes. Drag the isotopes to their corresponding decay mode bins: - **Isotopes:** Iridium-164, Thorium-232, Iodine-137, Calcium-60, Fluorine-17 - **Decay Modes:** - Alpha decay (\(\alpha\)) - Beta decay (\(\beta\)) - Positron emission (\(\beta^+\)) - Electron capture **Buttons:** - Reset - Help - Submit **Assessment:** Provide feedback after predicting the decay modes of each isotope. _(Copyright © 2022 Pearson
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