Chapter 17, Problem 17.53E

Interpretation Introduction

(a)

Interpretation:

According to the Sackur-Tetrode equation whether $S$ is proportional or inversely proportional to temperature or not is to be stated. Whether the answer agrees with phenomenological thermodynamics’ predictions on the variation of $S$ with temperature or not is to be stated.

Concept introduction:

The statistical thermodynamics is used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. An important quantity in thermodynamics is the partition function that is represented as,

$q={\left(\frac{2\pi mkT}{h^2}\right)}^{3/2}\cdot V$

It is used to calculate the state functions like energy, pressure, wavelength etc. of the thermodynamic system. The expressions obtained for state functions using partition functions help to determine the statistical aspect of thermodynamic system.

Interpretation Introduction

(b)

Interpretation:

According to the Sackur-Tetrode equation whether $S$ is proportional or inversely proportional to pressure or not is to be stated. Whether the answer agrees with phenomenological thermodynamics’ predictions on the variation of $S$ with pressure or not is to be stated.

Concept introduction:

Statistical thermodynamic used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as,

$q={\left(\frac{2\pi mkT}{h^2}\right)}^{3/2}\cdot V$

It is used to calculate the state functions like energy, pressure, wavelength etc. of the thermodynamic system. The expressions obtained for state functions using partition functions help to determine the statistical aspect of thermodynamic system.