Chapter 13, Problem 13E.16P

(a)

Interpretation Introduction

Interpretation:

The expression for the speed of sound in a perfect gas of diatomic molecules at high temperature has to be stated.

Concept introduction:

A gas is made up of many atoms or molecules that move with very high speeds.  The kinetic energy of gases is very high.  Every molecule or atom present in a gas can have a different velocity.  The speed of sound in a gas is less than the speed of sound in a vacuum.  The speed of sound in a gas, $c_{\text{s}}$, is given by the expression as shown below.

  $c_{\text{s}}={\left(\frac{\gamma RT}{M}\right)}^{1/2}$

(b)

Interpretation Introduction

Interpretation:

The expression for the speed of sound in a perfect gas of linear triatomic molecules at high temperature has to be stated.

Concept introduction:

As mentioned in the concept introduction in part (a).

(c)

Interpretation Introduction

Interpretation:

The expression for the speed of sound in a perfect gas of nonlinear triatomic molecules at high temperature has to be stated.  The speed of sound in air at $25°\text{C}$ has to be calculated.

Concept introduction:

As mentioned in the concept introduction in part (a).