The absorption spectrum of o2 shows a vibrational structure that becom...
Answer:Introduction
The absorption spectrum of O2 exhibits a vibrational structure that becomes a continuum at 56875 cm-1. At the continuum, it dissociates into ground state atoms and excited state atoms. The energy difference between ground state and excited state atoms is 15125 cm-1.
Calculation
To calculate the dissociation energy of the ground state of O2, we need to use the following formula:
Dissociation Energy = Energy of dissociated atoms - Energy of ground state O2
The energy of dissociated atoms is the energy difference between the ground state and excited state atoms, which is 15125 cm-1. To calculate the energy of ground state O2, we need to find the energy at which the vibrational structure disappears and becomes a continuum. This energy is 56875 cm-1.
Therefore,
Dissociation Energy = 56875 cm-1 - 15125 cm-1 = 41750 cm-1
Explanation
The dissociation energy of a molecule is the energy required to break the bond between its atoms. In the case of O2, when it absorbs light with energy greater than 56875 cm-1, the vibrational structure disappears and becomes a continuum. At this point, the O2 molecule dissociates into ground state atoms and excited state atoms. The energy difference between these two states is 15125 cm-1.
The dissociation energy of the ground state of O2 is the energy required to break the bond between its atoms when it is in its ground state. This energy is calculated by subtracting the energy of dissociated atoms from the energy at which the vibrational structure disappears. In this case, the dissociation energy of the ground state of O2 is 41750 cm-1.
Overall, this calculation shows the importance of understanding the absorption spectrum of a molecule and its vibrational structure in determining its dissociation energy.