A certain system of non interacting particles has the single-particle partition function f=A Tm/V where A is some constant. The average energy per particle will be

(a) mkT. Explanation: ε = kT²(∂ln f/∂T) = kT² × m/T = mkT (a).

Q76 · CSIR-NET Chemistry, June 2019

Paper: CSIR-NET June 2019 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Marks: 2 · Difficulty: Medium

A certain system of non interacting particles has the single-particle partition function $\mathrm{f}=\mathrm{A} \frac{\mathrm{T}^{\mathrm{m}}}{\mathrm{V}}$ where A is some constant. The average energy per particle will be

(a)mkT

(b)AkT

(c)$\mathrm{kT} / \mathrm{m}$

(d)kT/A

Answer

Answer: A ✓ checked by 4AB · confidence high

Explanation

ε = kT²(∂ln f/∂T) = kT² × m/T = mkT (a).

Study loop for Statistical Thermodynamics

1. Practise the PYQsPrevious-year questions, with answers

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