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A diatomic molecule in its ground state absorbs a photon of energy 6.0 x 10-19 J. The molecule dissociates due to this absorption and the two atoms end very far apart with a combined kinetic energy of the two atoms of 1.5 x 10-19 J. Which plot or plots below could indicate the potential energy of the two atoms comprising the molecule, as a function of the distance, x, between them? We may take the ground state energy as being the equilibrium position without any kinetic energy. A. Energy (× 10-1⁹]) 9 6 3 -3 -6 C. Energy (× 10-19) 6.75 4.50 2.25 0.1 0.2 0.3 -2.25 -4.50 0.4 0.5 x (nm) B. E. Either A or D could be correct. Energy (× 10-1⁹]) 18 LL 12 6 0.1 0.2 0.3 0.4 0.5 x (nm) 9 6 3 -3 -6 0.2 0.3 0.4 D. Energy (× 10-¹⁹) 0.5 x(nm) 9.10.2 0.3 0.4 0.5 x(nm)

A diatomic molecule in its ground state absorbs a photon of energy 6.0 x 10-19 J. The molecule dissociates due to this absorption and the two atoms end very far apart with a combined kinetic energy of the two atoms of 1.5 x 10-19 J. Which plot or plots below could indicate the potential energy of the two atoms comprising the molecule, as a function of the distance, x, between them? We may take the ground state energy as being the equilibrium position without any kinetic energy. A. Energy (× 10-1⁹]) 9 6 3 -3 -6 C. Energy (× 10-19) 6.75 4.50 2.25 0.1 0.2 0.3 -2.25 -4.50 0.4 0.5 x (nm) B. E. Either A or D could be correct. Energy (× 10-1⁹]) 18 LL 12 6 0.1 0.2 0.3 0.4 0.5 x (nm) 9 6 3 -3 -6 0.2 0.3 0.4 D. Energy (× 10-¹⁹) 0.5 x(nm) 9.10.2 0.3 0.4 0.5 x(nm)

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### Potential Energy Curves for a Diatomic Molecule #### Context: A diatomic molecule in its ground state absorbs a photon with an energy of \( 6.0 \times 10^{-19} \) Joules. As a result, the molecule dissociates and the two atoms move very far apart, possessing a combined kinetic energy of \( 1.5 \times 10^{-19} \) Joules. The following graphs represent the potential energy, \( E \), of the two atoms as a function of the distance, \( x \), between them. The ground state energy (equilibrium position) is considered without any kinetic energy. #### Question: Which plot(s) could indicate the potential energy of the two atoms comprising the molecule? #### Graph Descriptions: ##### Graph A. - **Y-Axis (Energy \((\times 10^{-19} \, \text{J})\)):** Ranges from -6 to 9. - **X-Axis (Distance \(x\) (nm)):** Ranges from 0 to 0.5 nm. - **Curve Characteristics:** The curve starts very high on the Y-axis, drops steeply to a minimum potential well around \(0.1\) nm, and then asymptotes to zero energy as \(x\) increases beyond \(0.4\) nm. ##### Graph B. - **Y-Axis (Energy \((\times 10^{-19} \, \text{J})\)):** Ranges from -3 to 9. - **X-Axis (Distance \(x\) (nm)):** Ranges from 0 to 0.5 nm. - **Curve Characteristics:** The curve starts very high, drops sharply but only to about \(-3 \times 10^{-19} \) J around \(0.1\) nm, then rises to a peak before decreasing towards zero. ##### Graph C. - **Y-Axis (Energy \((\times 10^{-19} \, \text{J})\)):** Ranges from -4.5 to 6.75. - **X-Axis (Distance \(x\) (nm)):** Ranges from 0 to 0.5 nm. - **Curve Characteristics:** Similar to Graph A, but the minimum potential well is less deep (around \(-4.5 \times 10^{-19} \) J
Transcribed Image Text:### Potential Energy Curves for a Diatomic Molecule #### Context: A diatomic molecule in its ground state absorbs a photon with an energy of \( 6.0 \times 10^{-19} \) Joules. As a result, the molecule dissociates and the two atoms move very far apart, possessing a combined kinetic energy of \( 1.5 \times 10^{-19} \) Joules. The following graphs represent the potential energy, \( E \), of the two atoms as a function of the distance, \( x \), between them. The ground state energy (equilibrium position) is considered without any kinetic energy. #### Question: Which plot(s) could indicate the potential energy of the two atoms comprising the molecule? #### Graph Descriptions: ##### Graph A. - **Y-Axis (Energy \((\times 10^{-19} \, \text{J})\)):** Ranges from -6 to 9. - **X-Axis (Distance \(x\) (nm)):** Ranges from 0 to 0.5 nm. - **Curve Characteristics:** The curve starts very high on the Y-axis, drops steeply to a minimum potential well around \(0.1\) nm, and then asymptotes to zero energy as \(x\) increases beyond \(0.4\) nm. ##### Graph B. - **Y-Axis (Energy \((\times 10^{-19} \, \text{J})\)):** Ranges from -3 to 9. - **X-Axis (Distance \(x\) (nm)):** Ranges from 0 to 0.5 nm. - **Curve Characteristics:** The curve starts very high, drops sharply but only to about \(-3 \times 10^{-19} \) J around \(0.1\) nm, then rises to a peak before decreasing towards zero. ##### Graph C. - **Y-Axis (Energy \((\times 10^{-19} \, \text{J})\)):** Ranges from -4.5 to 6.75. - **X-Axis (Distance \(x\) (nm)):** Ranges from 0 to 0.5 nm. - **Curve Characteristics:** Similar to Graph A, but the minimum potential well is less deep (around \(-4.5 \times 10^{-19} \) J
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