Chapter 18, Problem 18.7E

Interpretation Introduction

Interpretation:

The value of $q_{\text{elect}}$ for the given system at $10,000\text{K}$ is to be recalculated. Whether the conclusion about the effect of electronic excited states on $q_{\text{elect}}$ changed or not is to be stated. The explanation for the same is to be stated.

Concept introduction:

Different linearly independent wavefunctions that have same energy are called degenerate. This is expressed in terms of degeneracy. If two functions are having same energy then they are called doubly degenerate and so on. The electronic partition function is represented as,

$q_{\text{elect}}={\displaystyle \sum _i{g}_i{e}^{-{\in }_i/\text{kT}}}$

Where,

• $g_i$ represents the degeneracy.

• ${\in }_i$ represents the energy of $i^{th}$ microstate.

• $k$ represents the Boltzmann constant with value $1.381\times {10}^{-23}\text{J}/\text{K}$.

• $T$ represents the temperature $\left(\text{K}\right)$.