The relative population in two states with energies E₁ and E₂ satisfying Boltzmann distribution is given by… · ABC26PH0196
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Equilibrium · Exam: CSIR NET JUNE 2012 · Marks: 2 · Difficulty: Medium
The relative population in two states with energies $E_1$ and $E_2$ satisfying Boltzmann distribution is given by $n_1/n_2 = (3/2)\exp[-(E_1 - E_2)/k_bT]$. The relative degeneracy $g_2/g_1$ is:
(a)2
(b)2/3
(c)3/2
(d)3
Answer
Answer (as printed): B
Explanation
The relative population in two states with energy E1 and E2 satisfy Boltzmann distribution law [mp ’m; ] •p bp = 𝑒 nr= ..........(1) [where, g1 and g2 are degeneracy] •; b; •p c Given : =( ) exp [-(E₁ - E₂)/kbT] ……. (2) •; O b c Compare equation (1) and (2), we get, = p = b; O b O The value of ; = bp c
Explanation as extracted from the printed page; notation may be imperfect.