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Lesson 1 of 8Gases & Atmospheric Chemistry
Unit 5 · Lesson 1 of 8

States of Matter & the Kinetic Molecular Theory

The kinetic molecular theory models gases as particles in constant random motion, and it explains why gases behave so differently from solids and liquids.

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Key things to remember

  1. 1KMT postulate: particles are in constant, random, straight-line motion.
  2. 2KMT postulate: particle volume is negligible compared to the container's volume.
  3. 3KMT postulate: no attractive/repulsive forces act between ideal gas particles.
  4. 4KMT postulate: collisions are perfectly elastic (no net kinetic energy lost).
  5. 5KMT postulate: average kinetic energy absolute (Kelvin) temperature.

Why does a gas fill up an entire balloon evenly, while a solid just sits there holding its shape? Why can you squeeze a syringe full of air but not one full of water? To answer questions like these, chemists use a mental model called the kinetic molecular theory (KMT) — a set of assumptions about how tiny particles (atoms or molecules) behave that, together, explain almost everything gases do. You don't need to see individual molecules to use this model; you just need to accept its postulates and follow where they lead.

The three states, particle-view

ASolid
  • Particles vibrate in fixed positions
  • Strong attractive forces hold particles close together
  • Fixed shape and fixed volume
  • Very low compressibility
BGas
  • Particles move freely in straight lines between collisions
  • Attractive forces are essentially negligible
  • No fixed shape or volume — takes the shape and volume of its container
  • Highly compressible; low density

Liquids sit in between: particles are close together like a solid (so liquids barely compress) but are free to slide past one another (so liquids flow and take the shape of their container, but keep a fixed volume). This unit focuses on gases, the state where the kinetic molecular theory has the most explanatory power.

FeatureSolidLiquidGas
Particle spacingTouching, in a fixed patternTouching, but disorderedVery far apart (mostly empty space)
Particle motionVibrate in placeSlide past one anotherFast, straight-line, random
Attractive forcesStrong enough to lock positionsStrong enough to keep particles togetherNegligible (ideal model)
Shape / volumeFixed / fixedTakes container shape / fixedTakes container shape / fills container
CompressibilityAlmost noneVery slightHigh
Density of water in that stateIce: about 0.92 g/mLLiquid: about 1.00 g/mLSteam at 100°C: about 0.0006 g/mL
The same substance changes its properties dramatically as its particles move from one state to another.

The postulates of the kinetic molecular theory (for an ideal gas)

  1. Gases consist of a huge number of tiny particles (atoms or molecules) in constant, random, straight-line motion, changing direction only when they collide.
  2. The volume of the particles themselves is negligible compared to the volume of empty space between them — a gas is mostly empty space.
  3. There are no attractive or repulsive forces between particles (or between particles and the container walls) — particles act completely independently except during a collision.
  4. Collisions between particles, and between particles and the container walls, are perfectly elastic — no kinetic energy is lost overall, it's just transferred between particles.
  5. The average kinetic energy of the particles is directly proportional to the absolute (Kelvin) temperature of the gas — every gas at the same temperature has the same average kinetic energy, regardless of identity.

These postulates were not pulled out of thin air; each one is backed by something you can observe. Gases compress easily, so there must be a lot of empty space between particles (postulate 2). A gas never settles into a layer at the bottom of a sealed jar, so its particles must keep moving (postulate 1). A sealed tire does not slowly lose pressure just from sitting still, so collisions cannot be draining away energy (postulate 4). And when chemists heated many different gases, they all expanded by the same fraction for each degree, which only makes sense if temperature controls particle energy the same way for every gas (postulate 5). A good model is a short list of assumptions that explains a long list of observations.

"Ideal" gas vs. real gas
No real gas perfectly obeys all five postulates — real particles do have some volume and do attract each other slightly. An ideal gas is a simplified model that behaves as if the postulates were exactly true. Real gases behave very close to ideal at ordinary conditions (low pressure, high temperature), which is why the model is so useful. Where real gases deviate from ideal behaviour is covered in the ideal gas law topic.
Kinetic Molecular TheorySolidfixed positions, vibrate in placeLiquidclose together, slide past each otherGasfar apart, move fast in straight linesKinetic molecular theory (ideal gas) assumptions:• particles are in constant, random motion• particle volume is negligible compared to the container• no attractive or repulsive forces between particles (ideal)• collisions are perfectly elastic (no energy lost)• average kinetic energy ∝ temperature in kelvin
Fig 1Particle arrangement and motion in solids, liquids, and gases.

Temperature is average kinetic energy

At any moment, the particles in a gas do not all move at the same speed. A few are nearly stopped after an unlucky collision, a few are moving unusually fast, and most are somewhere in between. Temperature measures the average kinetic energy of this whole crowd. Kinetic energy depends on both mass and speed (), so if two gases are at the same temperature (same average ), the lighter particles must be moving faster. A helium atom has about one-seventh the mass of a nitrogen molecule, so at room temperature it moves roughly 2.6 times faster on average. Nitrogen molecules in the room around you already average close to 500 m/s, yet a smell released across the room takes seconds to reach you: each particle collides billions of times per second, so its path is a zig-zag random walk rather than a straight dash. Because average kinetic energy is proportional to Kelvin temperature, doubling the Kelvin temperature doubles the average kinetic energy: with both temperatures in kelvins.

Twice as hot means twice the kelvins
Warming a gas from 10°C to 20°C does NOT double its particles' average kinetic energy. In kelvins that change is 283.15 K to 293.15 K, a ratio of only , which is a 3.5% increase. To double the average kinetic energy of a gas that starts at 10°C you would have to reach 566.3 K, which is about 293°C.

Explaining gas properties from KMT

Observed propertyKMT explanation
Gases are easily compressedParticles are far apart with mostly empty space between them, so pushing them closer together is easy — there isn't much "stuff" in the way.
Gases expand to fill any containerParticles move independently in straight lines with no attractive forces holding them together, so they spread out until they hit walls on every side.
Gases have low density compared to solids/liquidsThe same number of particles occupies a much larger volume, since most of that volume is empty space.
Gases diffuse (mix) into each otherRandom particle motion carries particles from a region of high concentration into a region of low concentration over time.
Gases exert pressure on their containerParticles are constantly colliding with the container walls; each tiny collision delivers a tiny push, and billions of collisions per second add up to measurable pressure.

That last row is the key idea that the next topic builds on: gas pressure is not some separate mysterious property — it is a direct, measurable consequence of particles slamming into the walls of whatever is holding them. When a test question says "use the kinetic molecular theory to explain", a full answer has three links: name what changed (for example, the temperature rose), describe what the particles do differently (they move faster, so they hit the walls harder and more often), and connect that particle behaviour to the observation (so the pressure rises). Skipping the middle link is the most common way to lose marks on these questions.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
A basketball is pumped up indoors at 22°C and then taken outside, where it is °C. Use the kinetic molecular theory to explain why it feels softer, and find by what fraction the average kinetic energy of the air particles drops.
Example 2
A sample of neon is heated from 27.0°C to 177.0°C. By what factor does the average kinetic energy of the neon atoms increase?
Example 3
Helium (4.00 g/mol) and nitrogen, (28.02 g/mol), are both at 25°C. Which has the greater average kinetic energy, and which particles move faster on average? By roughly what factor?
Example 4
One mole of water (18.02 g) occupies about 18.0 mL as a liquid. As steam at 100°C and 101.3 kPa, the same mole occupies about 30.6 L. Use these numbers to support the KMT postulate that a gas is mostly empty space.

Where marks get lost

  • Saying gas particles "expand" or get bigger when a gas expands — it's the empty space between the fixed-size particles that increases, not the particles themselves.
  • Thinking gas pressure means the gas is "pushing outward" as some continuous substance, rather than the cumulative effect of many discrete particle-wall collisions.
  • Forgetting that KMT assumes zero attractive forces — real gases (especially polar ones like ) do attract each other somewhat, which is why they deviate from ideal behaviour.
  • Confusing "elastic collision" with "no collisions happen" — elastic just means kinetic energy is conserved overall, not that particles never collide.
  • Comparing kinetic energies with Celsius temperatures (saying a gas at 20°C has twice the kinetic energy of one at 10°C), or claiming heavier particles have more kinetic energy at the same temperature. Only Kelvin ratios work, and at equal temperature all gases share the same average kinetic energy; heavier particles simply move more slowly.

Flashcards 9

What is the kinetic molecular theory (KMT)?
Why are gases compressible but solids are not?
What causes gas pressure, according to KMT?
What does "elastic collision" mean in KMT?
+ 5 more

Practice

1
According to KMT, why do gases have much lower density than solids or liquids?
2
Which KMT postulate directly explains why gases exert pressure?
3
In one sentence, explain why gases can be compressed much more than liquids.
4
Order these states from LEAST compressible to MOST compressible.
  1. 1Liquid
  2. 2Solid
  3. 3Gas
5
Match each observed gas property to the KMT postulate that explains it.
Gas exerts pressure on its container
Gas is easily compressed
Two gases at the same temperature have the same average KE
No energy is lost when particles collide
6
Which of the following is NOT one of the KMT postulates for an ideal gas?
7
A gas is heated from 0°C to 273°C. By what factor does the average kinetic energy of its particles increase? Give your answer to 3 significant figures.
8
A gas starts at 20°C. To what Celsius temperature must it be heated to double the average kinetic energy of its particles? Round to the nearest degree.
°C
9
Samples of helium and carbon dioxide are both at 25°C. Which statement is correct?
10
Nitrogen molecules at room temperature move at about 500 m/s. Explain why perfume sprayed across a room still takes several seconds to reach you.
11
A sealed syringe of air is pushed in, halving its volume at constant temperature. Which KMT description is correct?

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