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These diagrams represent the potential e...

These diagrams represent the potential energy `U` of a diatomic molecule as a function of the inter-atomic distance `r`. The diagram corresponds to stable molecule found in nature is.

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To determine which diagram represents the potential energy \( U \) of a diatomic molecule as a function of the inter-atomic distance \( r \) for a stable molecule found in nature, we can analyze the characteristics of potential energy graphs. ### Step-by-Step Solution: 1. **Understanding Potential Energy and Inter-Atomic Distance**: - The potential energy \( U \) of a diatomic molecule varies with the distance \( r \) between the two atoms. Typically, as the atoms approach each other, the potential energy decreases until it reaches a minimum value at the equilibrium bond length. 2. **Identifying Stable Molecules**: - A stable molecule corresponds to a potential energy curve that has a minimum point. At this minimum, the force between the atoms is zero, indicating that the atoms are in a stable equilibrium position. 3. **Analyzing the Graphs**: - Look for a graph where: - The potential energy \( U \) decreases as the distance \( r \) decreases until it reaches a minimum. - After reaching the minimum, as \( r \) increases further, the potential energy \( U \) should increase again. - This behavior indicates that the molecule is stable at the minimum point. 4. **Choosing the Correct Diagram**: - Among the provided diagrams, identify the one that shows a clear minimum in the potential energy curve. This is the diagram that corresponds to a stable diatomic molecule found in nature. 5. **Conclusion**: - Based on the analysis, select the diagram that meets the criteria of having a minimum potential energy, indicating a stable molecular configuration.
To determine which diagram represents the potential energy \( U \) of a diatomic molecule as a function of the inter-atomic distance \( r \) for a stable molecule found in nature, we can analyze the characteristics of potential energy graphs. ### Step-by-Step Solution: 1. **Understanding Potential Energy and Inter-Atomic Distance**: - The potential energy \( U \) of a diatomic molecule varies with the distance \( r \) between the two atoms. Typically, as the atoms approach each other, the potential energy decreases until it reaches a minimum value at the equilibrium bond length. 2. **Identifying Stable Molecules**: ...
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