Consider the 14N-160 molecule whose fundamental frequency has a value of 0.0064 cm¹. The equilibrium bond length for the molecule is 115 pm. a) Estimate the ratio of the number of molecules in the first excited vibrational state to the number in the ground state, at a temperature of 450 K. (5) b) Take 14N-160 molecule as a linear rigid rotor and determine the ratio of the number of molecules in the first excited rotational state to the number in the ground state, at a temperature of 450 K (10) c) Use the Sackur-Tetrode equation to calculate the molar entropy of the molecule at 1 atm and 298 K (10)

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
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Consider the 14N-160 molecule whose fundamental frequency has a value of 0.0064 cm¹.
The equilibrium bond length for the molecule is 115 pm.
a) Estimate the ratio of the number of molecules in the first excited vibrational state to the
number in the ground state, at a temperature of 450 K.
(5)
b) Take 14N-160 molecule as a linear rigid rotor and determine the ratio of the number of
molecules in the first excited rotational state to the number in the ground state, at a temperature
of 450 K
(10)
c) Use the Sackur-Tetrode equation to calculate the molar entropy of the molecule at 1
atm and 298 K
(10)
Transcribed Image Text:Consider the 14N-160 molecule whose fundamental frequency has a value of 0.0064 cm¹. The equilibrium bond length for the molecule is 115 pm. a) Estimate the ratio of the number of molecules in the first excited vibrational state to the number in the ground state, at a temperature of 450 K. (5) b) Take 14N-160 molecule as a linear rigid rotor and determine the ratio of the number of molecules in the first excited rotational state to the number in the ground state, at a temperature of 450 K (10) c) Use the Sackur-Tetrode equation to calculate the molar entropy of the molecule at 1 atm and 298 K (10)
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