Chapter 3, Problem 70A

Interpretation Introduction

Interpretation : The movement of each balloon is to be described.

Concept Introduction : The connectivity between mass and volume is density. The formula of density is given as:

  $\text{Density =}\frac{\text{mass}}{\text{volume}}$

Answer to Problem 70A

The density of neon and hydrogen is smaller than the density of the air, so these balloons rise. Among these balloons, the hydrogen-filled balloon goes up at a faster rate due to low density.

The density of carbon dioxide is higher than the density of the air, so the balloon sinks.

Explanation of Solution

Density is defined as the ratio of mass to volume. It gives the connectivity between mass and volume.

The formula of density is given as:

  $\text{Density =}\frac{\text{mass}}{\text{volume}}$

To describe the movement of balloons filled with neon, carbon dioxide, and hydrogen released into the atmosphere, the density of these gases is compared with air density.

The density of air is $1.20\text{g/L}$ .

The density of neon is $0.84\text{g/L}$ .

The density of carbon dioxide is $1.83\text{g/L}$ .

The density of hydrogen is $0.084\text{g/L}$ .

When the density of the gases was higher than the density of the air, the balloon would sink otherwise the balloon will rise.

The density of neon and hydrogen is smaller than the density of the air, so these balloons rise. Among these balloons, the hydrogen-filled balloon goes up at a faster rate due to low density.

The density of carbon dioxide is higher than the density of the air, so the balloon sinks.