Chapter 7, Problem 7.4IA

(a)

Interpretation Introduction

Interpretation:

The work done by gas molecules occupying a cubic gas to change the volume by a factor of $\Delta V$ is to be stated.

Concept introduction:

The Schrodinger equation is used to find the allowed energy levels for electronic transitions in the quantum mechanics. It is generally expressed as follows.

  $\stackrel{⌢}{\text{H}}\Psi =\text{E}\Psi$

The energy of a particle in a three dimensional box is given by the equation.

  $E_{n_1,n_2,n_3}=\left(n_1^2+n_2^2+n_3^2\right)\frac{h^2}{8m{L}^2}$

(b)

Interpretation Introduction

Interpretation:

Whether the energy will be different if $n\ne 1$ is to be stated.

Concept introduction:

The same concept introduction as discussed in part (a).

(c)

Interpretation Introduction

Interpretation:

The compare the expression of work done with free expansion of gas.

Concept introduction:

The same concept introduction as discussed in part (a).

(d)

Interpretation Introduction

Interpretation:

The distinction between isothermal expansion and adiabatic expansion is to be identified.

Concept introduction:

The same concept introduction as discussed in part (a).