Chapter 12, Problem 12A.2E

Interpretation Introduction

Interpretation:

The temperature of the given two-level system has to be found.

Concept Introduction:

Boltzmann distribution formula:

$\frac{{\text{N}}_2}{{\text{N}}_1}\text{=}\text{e}{}^{\text{-}\Delta \text{E/RT}}\Rightarrow \text{Boltzman}\text{distribution}$

$\begin{array}{c}{\text{N}}_2\text{=}\text{Initial}\text{population}\text{of}\text{molecules}\text{.}\\ {\text{N}}_1\text{=}\text{Final}\text{population}\text{of}\text{molecules}\text{.}\\ \Delta \text{E}\text{=}\text{Energy}\text{difference}\text{between}\text{the}\text{two}\text{degenerate}\text{states}\text{of}\text{a}\text{molecule}\text{.}\end{array}$

$\begin{array}{c}\text{R}\text{=}\text{Gas}\text{constant}\text{=}\text{8}\text{.3145}\text{J}{\text{K}}^{\text{-1}}{\text{mol}}^{\text{-1}}\\ \text{T}\text{=}\text{Temperature}\end{array}$