Problem 632
Question
Compared to either a liquid or a solid, a typical gas has (A) a higher density and contains molecules that are closer together. (B) a higher density and contains molecules that are father apart. (C) a lower density and contains molecules that are father apart. (D) a lower density and contains molecules that are closer together.
Step-by-Step Solution
Verified Answer
A typical gas has a lower density and contains molecules that are farther apart compared to a liquid or a solid. The correct answer is (C) a lower density and contains molecules that are farther apart.
1Step 1: Understanding states of matter
In the solid state, the particles (atoms, ions, or molecules) are closely packed together in a rigid arrangement. In contrast, the particles in liquids are less closely packed and can flow around each other. Finally, the particles in gases are widely spaced and move randomly with high speeds.
2Step 2: Comparing densities
Density is defined as mass per unit volume. The more closely packed particles are, the higher the density. Due to the tightly packed particles in solids, they have the highest density, while liquids have a lower density because of their loosely packed particles. Gases have the lowest density, as their particles are widely spaced.
3Step 3: Comparing particle distances
The relative distance between particles depends on how closely they are packed. In the solid state, particles are the closest, followed by the liquid state. In the gas state, particles have the highest average distance between them because they are widely spaced.
4Step 4: Answering the question
Based on our analysis, a typical gas has a lower density and its molecules are farther apart compared to a liquid or a solid. So, the correct answer is:
(C) a lower density and contains molecules that are farther apart.
Key Concepts
Density in Solids, Liquids, and GasesParticle Arrangement in GasesDensity Comparison Between States of Matter
Density in Solids, Liquids, and Gases
Density is a measure that describes how much mass is contained in a given volume of a substance. It's calculated using the formula \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). The arrangement and closeness of particles in a substance largely determine its density.
In solids, particles are tightly packed together in a fixed, orderly pattern. This results in a high density because a lot of mass is concentrated in a small volume.
In solids, particles are tightly packed together in a fixed, orderly pattern. This results in a high density because a lot of mass is concentrated in a small volume.
- Solids: High density due to tight packing of particles.
- Liquids: Moderate density with particles less rigidly packed.
- Gases: Low density due to large distances between particles.
Particle Arrangement in Gases
In gases, particles are much more spread out compared to solids and liquids. The particles move in random directions at high speeds and are not bound in place like in solids.
This random and rapid movement means that there is a considerable amount of empty space between gas particles.
This random and rapid movement means that there is a considerable amount of empty space between gas particles.
- Large Distances: Particles are far apart.
- High Mobility: Particles move quickly and freely.
Density Comparison Between States of Matter
When comparing the density of solids, liquids, and gases, it's clear that particle arrangement plays a crucial role.
- Solids: Densest because particles are close together and vibrate in place.
- Liquids: Less dense than solids; particles are close but move past each other.
- Gases: Least dense; particles are widespread and fast moving.
Other exercises in this chapter
Problem 624
In which direction is the unbalanced force acting during the part of the trip where the elevator is traveling at \(6 \mathrm{~m} / \mathrm{s}\) ? (A) downward (
View solution Problem 631
Which letter represents the part of the experiment in which the entire sample was in the liquid phase? (A) \(\mathrm{A}\) (B) \(B\) (C) \(\mathrm{C}\) (D) \(\ma
View solution Problem 623
In which direction is the unbalanced force acting as the elevator begins to accelerate downward? (A) downward (B) upward (C) toward the entrance of the elevator
View solution