Question
Download Solution PDFThe partition function for a gas is given by
Q(N, V, T) =
The internal energy of the gas is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- The Maxwell–Boltzmann distribution concerns the distribution of an amount of energy between identical but distinguishable particles.
- It represents the probability for the distribution of the states in a system having different energies. A special case is the so-called Maxwell distribution law of molecular velocities.
- The final expression for the internal energy U of a system following the Boltzmann distribution of energy is:
U =
Explanation:-
- The partition function for a gas is given by
Q(N, V, T) =
- By taking ln both the sides of equation (2) we got,
or,
or,
or,
or,
or,
- Now, putting the value of
in equation (1) we get,
U =
or, U = kBT2 ×
or, U =
Conclusion:-
Hence, the internal energy of the gas is
Last updated on Jul 8, 2025
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