The single-particle partition function (f) for a certain system has the form $\mathrm{f}=\mathrm{Ave}{ }^{\mathrm{BT}}$. The average energy per particle will then be ( k is the Boltzman constant)
(a)BkT
(b)$\mathrm{BkT}^{2}$
(c)$\mathrm{kT} / \mathrm{B}$
(d)$\mathrm{kT} / \mathrm{B}^{2}$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
⟨ε⟩ = kT² (∂ ln f/∂T) with ln f = ln A + BT ⇒ ⟨ε⟩ = BkT².