States of Matter and the Particle Model物质的三态与粒子模型

Big Idea · Structure and Properties (SAP)AP Science Practice 1 · Models and RepresentationsAP link · Unit 3~20 min

Learning goals

  • Compare solids, liquids, and gases by shape, volume, and compressibility
  • Use the particle model (spacing, motion, and attraction) to explain the differences between the three states
  • Recognize particle diagrams of the three states and use them to explain everyday observations

Before you start

  • What chemists study (1.1.1)

One substance, three forms

Ice cubes from the freezer, water in a glass, and the invisible water vapor rising from a pot are all the same substance: water. An ice cube keeps its own shape. Water takes the shape of whatever you pour it into. Water vapor spreads out until it fills the whole room.

These are the three most common states of matter: solid固态, liquid液态, and gas气态. Why does one substance behave so differently in each? This lesson answers that with the particle model.

What you can see: the three states

StateShapeVolumeCan it be compressed?Examples
SolidFixedFixedHardly at allIce, iron, table salt
LiquidTakes the shape of its containerFixedHardly at allWater, rubbing alcohol, cooking oil
GasNot fixedNot fixed: fills the whole containerEasilyAir, water vapor, carbon dioxide

A propane tank for a backyard grill holds a lot of gas squeezed into a small space, and a bike pump can force plenty of air into a tire. Both work because gases are easy to compress.

The particle model

All matter is made of huge numbers of tiny particles (molecules, atoms, and so on, covered in Module 3). Three statements describe them:

  1. Particles are tiny. A single drop of water contains about 1.7×10211.7 \times 10^{21} water molecules. (1.7×10211.7 \times 10^{21} means 1.7 times 10 to the 21st power: 17 followed by 20 zeros. This way of writing numbers is called scientific notation; the tool card in lesson 1.3.2 covers it.)
  2. Particles are always moving. The higher the temperature, the faster they move.
  3. There are spaces between particles, and particles attract each other. The closer they are, the stronger the attraction.

Together these statements make up the particle model粒子模型 of matter. With it, the differences between the states make sense:

  • Solids: the particles are packed closely in a regular pattern and held firmly by their attractions. They can only vibrate in place, so a solid keeps a fixed shape and volume.
  • Liquids: the particles are still close together, but not in a regular pattern, and they can slide past each other. That’s why liquids flow and take the shape of their container. There’s almost no empty space between the particles, so the volume is fixed and hard to compress.
  • Gases: the particles are far apart, attract each other only weakly, and move quickly and randomly in all directions. That’s why a gas fills its whole container and is easy to compress.

The container below always holds the same 30 particles. Click Solid, Liquid, and Gas to see how the particles are arranged and how they move, then push the piston to see which state can be compressed:

Try it: switch between the three states, then push the piston
SpacingVery close, in a regular pattern
MotionVibrate in fixed positions
ShapeFixed
VolumeFixed
Compressible?Hardly at all

Notice that the number and size of the particles never change from one state to another. Only their arrangement, spacing, and speed change.

Example 1: The syringe test

Fill one syringe with air and another with water. Block the tip of each with your finger and push the plunger. Which one moves easily, and why?

Step-by-step solution
  1. Observe. The plunger of the air-filled syringe pushes in a long way. The water-filled one barely moves.
  2. Think about particles. Gas particles have large spaces between them. Pushing the plunger shrinks those spaces, so the volume goes down.
  3. Compare with the liquid. Liquid particles have almost no space between them, so there’s nowhere to squeeze them into. The liquid is very hard to compress.
  4. Conclusion. A gas is easy to compress and a liquid isn’t, because of the difference in particle spacing.

Example 2: Why does steam take up so much more room?

At 100 °C, water that turns into steam at the same temperature takes up about 1600 times as much volume. Did the water molecules get bigger?

Step-by-step solution
  1. Number. No new water molecules appear when water turns into steam.
  2. Size. Each water molecule stays the same size.
  3. Spacing. In liquid water the molecules are close together. In steam, the spaces between them become huge.
  4. Conclusion. The volume grows because the spaces between molecules grow, not because the molecules get bigger or more numerous.
Practice: which feature of particles does each observation mainly show?
  1. You open a bottle of perfume, and soon you can smell it across the room.
  2. Propane gas can be squeezed into a small tank.
  3. Mixing 50 mL of water with 50 mL of alcohol gives less than 100 mL.
  4. Wet clothes dry faster in the sun than in the shade.
  5. Two very smooth, flat blocks of lead pressed firmly together stick to each other.
  6. The liquid in a thermometer rises when it's heated.
  7. Food coloring spreads faster in hot water than in cold water.
  8. A solid iron bar is very hard to pull apart.

Common mistakes

Mistake 1: “Things expand when heated because their particles get bigger.” The particles stay the same size. What grows is the space between them.

Mistake 2: “The particles in a solid don’t move.” Particles in a solid are always moving too. They just vibrate in place instead of moving around.

Mistake 3: “Gases are invisible, so they have no mass.” Gases are matter, and they have mass. At room temperature, 1 L of air has a mass of about 1.2 g.

Quick check

Which observation best shows that gas particles are far apart?

When water freezes into ice, which statement is correct?

Summary

  • A solid has a fixed shape and volume. A liquid has a fixed volume but takes the shape of its container. A gas has no fixed shape or volume and is easy to compress.
  • The particle model: particles are tiny; they are always moving, faster at higher temperatures; and there are spaces between them, along with attractions.
  • The states differ in how their particles are arranged, spaced, and moving. The size and number of the particles stay the same.
On to AP (for later)

AP Chemistry topic 3.3 expects you to draw and interpret particle diagrams of solids, liquids, and gases. Topic 3.1 explains what the attractions between particles actually are (intermolecular forces), and topic 3.5, kinetic molecular theory, shows quantitatively that a higher temperature means a higher average kinetic energy of the particles.

Practice this chapter: Module 2 · Classifying Matter and Change · 10 questions

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