Interpretation:
The values of partition function with the given temperatures are to be calculated. The validation of the fact that leveling off of the value of
Concept introduction:
Statistical
Where,
•
•
•
•
It is also called as canonical ensemble partition function.
Answer to Problem 17.58E
The values of partition function at given temperatures
Explanation of Solution
The given values of temperatures are
It is given that a system has energy levels at
The degeneracy of each level is
The important quantity in the thermodynamic is partition function that is represented as,
Where,
•
•
•
•
The partition function of a system that has five different energy levels with energy
Substitute the value of energies, degeneracies,
Therefore, the value of
Substitute the value of energies, degeneracies,
Therefore, the value of
Substitute the value of energies, degeneracies,
Therefore, the value of
Substitute the value of energies, degeneracies,
Therefore, the value of
Substitute the value of energies, degeneracies,
Therefore, the value of
Substitute the value of energies, degeneracies,
Therefore, the value of
On comparing the partition function values it is observed that, the value of partition function increases with the increase in temperature. At low temperatures the increase of
The values of partition function at given temperatures
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Chapter 17 Solutions
Physical Chemistry
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- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,