Chapter 11, Problem 11Q

Since the density of air decreases with an increase in temperature, but the bulk modulus Bis nearly independent of temperature, how would you expect the speed of sound waves in air to vary with temperature?

To determine

How the speed of sound waves in air to varies with temperature.

Answer to Problem 11Q

Solution:

The speed of sound waves in air increase with increasing temperature.

Explanation of Solution

The speed of sound waves in air should increase with increasing temperature. Speed of sound waves is inversely proportional to the square root of density. By increasing the temperature, the density of air decreases, which will lead to a larger range between the bulk modulus and density, leading to higher speed of sound.

Conclusion:

It is very important to understand the concepts in order to give a correct answer.