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Solved: The hydrogen iodide (HI) molecule has equilibrium
Chapter 42, Problem 49P(choose chapter or problem)
The hydrogen iodide (HI) molecule has equilibrium separation and vibrational frequency \(6.93 \times 10^{13} \mathrm{~Hz}\). The mass of a hydrogen atom is \(1.67 \times 10^{-77} \mathrm{~kg}\), and the mass of an iodine atom is \(2.11 \times 10^{-25} k g\). (a) Calculate the moment of inertia of HI about a perpendicular axis through its center of mass.
(b) Calculate the wavelength of the photon emitted in each of the following vibration-rotation transitions:
(i) \(n=1, I=1 \rightarrow n=0, I=0\)
(ii) \(n=1, I=2 \rightarrow n=0, I=1\)
(iii) \(n=2 I=2 \rightarrow n=1, I=3\)
Equation transcription:
Text transcription:
6.93 times 10^{13}{~Hz}
1.67 times 10^{-77}{~kg}
2.11 times 10^{-25} k g
n=1, I=1 rightarrow n=0, I=0
n=1, I=2 rightarrow n=0, I=1
n=2 I=2 rightarrow n=1, I=3
Questions & Answers
QUESTION:
The hydrogen iodide (HI) molecule has equilibrium separation and vibrational frequency \(6.93 \times 10^{13} \mathrm{~Hz}\). The mass of a hydrogen atom is \(1.67 \times 10^{-77} \mathrm{~kg}\), and the mass of an iodine atom is \(2.11 \times 10^{-25} k g\). (a) Calculate the moment of inertia of HI about a perpendicular axis through its center of mass.
(b) Calculate the wavelength of the photon emitted in each of the following vibration-rotation transitions:
(i) \(n=1, I=1 \rightarrow n=0, I=0\)
(ii) \(n=1, I=2 \rightarrow n=0, I=1\)
(iii) \(n=2 I=2 \rightarrow n=1, I=3\)
Equation transcription:
Text transcription:
6.93 times 10^{13}{~Hz}
1.67 times 10^{-77}{~kg}
2.11 times 10^{-25} k g
n=1, I=1 rightarrow n=0, I=0
n=1, I=2 rightarrow n=0, I=1
n=2 I=2 rightarrow n=1, I=3
ANSWER: