Chapter 7, Problem 7D.1P

Interpretation Introduction

Interpretation:

The separation between the two lowest levels for an oxygen molecule has to be calculated.  The value of $n$ at which the energy of the molecule reaches $\frac{1}{2}kT$ has to be calculated.  The separation of the $n$ level at which the energy of the molecule reaches $\frac{1}{2}kT$ and the level just below has to be calculated.

Concept introduction:

The separation between the adjacent energy levels with quantum numbers $n$ and $n+1$ is given by the expression,

    $E_{n+1}-E_n=\left(2n+1\right)\frac{h^2}{8m{L}^2}$