
Concept explainers
Use the Sackur-Tetrode equation to derive the relationship

Interpretation:
The relationship
Concept introduction:
The Sackur-Tetrode equation is given below.
Where,
•
•
•
This is the best way to calculate the absolute entropies using the statistical thermodynamics applied to gaseous systems.
Answer to Problem 17.56E
The relationship
Explanation of Solution
The Sackur-Tetrode equation is given below.
Where,
•
•
•
For an isothermal change
The pressure can be substituted in terms of
The given equation is rearranged as shown below.
The common constant terms are cancelled as shown below.
The term
Thus, the given equation represents the relationship between entropy and volume at isothermal conditions.
The Sackur-Tetrode equation is given below.
For an isochoric change
The change in entropy can be represented as,
The given equation is rearranged as shown below.
The common constant terms are cancelled as shown below.
The term
For a monoatomic gas
Thus, given equation represents the relationship between entropy and temperature at isochoric conditions.
The relationship
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Chapter 17 Solutions
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