Chemistry · Statistical Thermodynamics
The correct expression for the internal energy (U) of a system following the Boltzmann distribution of energy is (where Q is the partition function, T is the temperature, k B is the Boltzmann constant, N is the number of molecules, and V is the volume):
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- 1k B T 2 ∂ ln Q ∂ β N,V
- 2k B T ∂ ln Q ∂ β N,V
- 3k B T 2 ∂ ln Q ∂ T N,V✓
- 4k B T ∂ ln Q ∂ T N,V
Correct answer
k B T 2 ∂ ln Q ∂ T N,V
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