A certain atom has a 4-fold degenerate ground level, a 3-fold degenerate electronically excited level at 4000 cm-1, and a 4-fold degenerate level at 5500 cm-1.Part 1: Calculate the electronic partition function at 1900 K.Ans = __________ Part 2: Now calculate the electronic contribution to the molar internal energy at this same temperature. Ans = ________ kJ/molFor comparison purposes, it is instructive to consider that the translational contribution to the molar internal energy at this same temperature would be (3/2)RT or 23.69 kJ/mol. So it shows that even at these elevated temperatures, the electronic contribution is fairly small because excited electronic states are populated much less than excited translational states.

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 18.4E
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A certain atom has a 4-fold degenerate ground level, a 3-fold degenerate electronically excited level at 4000 cm-1, and a 4-fold degenerate level at 5500 cm-1.
Part 1: Calculate the electronic partition function at 1900 K.
Ans = __________ 
Part 2: Now calculate the electronic contribution to the molar internal energy at this same temperature.
 Ans = ________ kJ/mol
For comparison purposes, it is instructive to consider that the translational contribution to the molar internal energy at this same temperature would be (3/2)RT or 23.69 kJ/mol. So it shows that even at these elevated temperatures, the electronic contribution is fairly small because excited electronic states are populated much less than excited translational states.

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ISBN:
9781133958437
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Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,