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Exciting au Oxygen Molecule An oxygen molecule (O2)
Chapter 30, Problem 10P(choose chapter or problem)
Exciting an Oxygen Molecule An oxygen molecule \(\left(O_{2}\right)\) vibrates with an energy identical to that of a single particle of mass \(m=1.340 \times 10^{-26} \mathrm{~kg}\) attached to a spring with a force constant of \(k=1215 \mathrm{~N} / \mathrm{m}\). The energy levels of the system are uniformly spaced, as indicated in Figure , with a separation given by hf.
(a) What is the vibration frequency of this molecule?
(b) How much energy must be added to the molecule to excite it from one energy level to the next higher level?
Equation Transcription:
Text Transcription:
(O2)
m=1.340 x 10^-26 kg
k=1215 N/m
Questions & Answers
QUESTION:
Exciting an Oxygen Molecule An oxygen molecule \(\left(O_{2}\right)\) vibrates with an energy identical to that of a single particle of mass \(m=1.340 \times 10^{-26} \mathrm{~kg}\) attached to a spring with a force constant of \(k=1215 \mathrm{~N} / \mathrm{m}\). The energy levels of the system are uniformly spaced, as indicated in Figure , with a separation given by hf.
(a) What is the vibration frequency of this molecule?
(b) How much energy must be added to the molecule to excite it from one energy level to the next higher level?
Equation Transcription:
Text Transcription:
(O2)
m=1.340 x 10^-26 kg
k=1215 N/m
ANSWER:
Step 1 of 2:-
a)
Here, we have to find the vibration frequency of the molecule.
Given that,
We know that,
.
So, the vibration frequency is .