Chapter 20, Problem 41A

When you squeeze an air-filled toy balloon, its volume decreases. Your friend says that the mass and the density of air inside increase. Do you agree with your friend? Defend your response.

To determine

To identify: Whether a person will agree with his friend or not.

Answer to Problem 41A

No, a person will not completely agree with the friend.

The mass of the air is constant and the density of air will increase when a person squeezes an air-filled toy balloon.

Explanation of Solution

Introduction:

The density of a material is the mass per unit volume. It depends on the masses of the individual atoms and the spacing between the atoms. The expression for density is,

  $\rho =\frac{m}{V}$

Here, $m$ is the mass and $V$ is the volume.

Given that squeezing of an air-filled toy balloon decreases its volume.

The density of a material is inversely proportional to the volume.

The mass of the material remains constant and the decrease in volume increases the density.

The mass is the product of density and volume.

Hence, the mass of the air is constant and the density of air will increase when a person squeezes an air-filled toy balloon.

Conclusion:

Thus, a person will not completely agree with the friend.