A. Calculate fractions of 12 molecules in their ground, first excited, and second excited vibrational states at 25°C. The vibrational wavenumber is 214.6 cm-1 B. Calculate the value for the vibrational partition function for the states above. h=6.62×1034 J. S k 1.381x10 23 J.K-1 c=2.99×108 m. s¯¹ (cm) P(8) H, 4401 1.32 x 1014 D₂ 3115 9.33 x 1013 'HBr 2649 7.94 x 1013 'H³CI 2991 8.97 x 1013 'HF 4138 1.24 x 1014 H127 2309 6.92 x 1013 35C₁₂ 559.7 1.68 x 1013 79Br 325.32 9.75 x 1012 19F2 916.64 2.75 x 1013 12712 214.5 6.43 x 1012 14N2 2358.6 7.07 x 1013 160 1580 4.74 x 1013 12C160 2170 2.56 x 1013

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter18: More Statistical Thermodynamics
Section: Chapter Questions
Problem 18.32E
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Question
A. Calculate fractions of 12 molecules in their ground, first excited,
and second excited vibrational states at 25°C. The vibrational
wavenumber is 214.6 cm-1
B. Calculate the value for the vibrational partition function for the
states above.
h=6.62×1034 J. S
k 1.381x10 23 J.K-1
c=2.99×108 m. s¯¹
(cm)
P(8)
H,
4401
1.32 x 1014
D₂
3115
9.33 x 1013
'HBr
2649
7.94 x 1013
'H³CI
2991
8.97 x 1013
'HF
4138
1.24 x 1014
H127
2309
6.92 x 1013
35C₁₂
559.7
1.68 x 1013
79Br
325.32
9.75 x 1012
19F2
916.64
2.75 x 1013
12712
214.5
6.43 x 1012
14N2
2358.6
7.07 x 1013
160
1580
4.74 x 1013
12C160
2170
2.56 x 1013
Transcribed Image Text:A. Calculate fractions of 12 molecules in their ground, first excited, and second excited vibrational states at 25°C. The vibrational wavenumber is 214.6 cm-1 B. Calculate the value for the vibrational partition function for the states above. h=6.62×1034 J. S k 1.381x10 23 J.K-1 c=2.99×108 m. s¯¹ (cm) P(8) H, 4401 1.32 x 1014 D₂ 3115 9.33 x 1013 'HBr 2649 7.94 x 1013 'H³CI 2991 8.97 x 1013 'HF 4138 1.24 x 1014 H127 2309 6.92 x 1013 35C₁₂ 559.7 1.68 x 1013 79Br 325.32 9.75 x 1012 19F2 916.64 2.75 x 1013 12712 214.5 6.43 x 1012 14N2 2358.6 7.07 x 1013 160 1580 4.74 x 1013 12C160 2170 2.56 x 1013
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9781133958437
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Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,