Know that the random motion of microscopic particles in a suspension is evidence for the kinetic particle model of matter

2.1.2 Particle Model

Objective

Understand how the random motion of microscopic particles in a suspension provides evidence for the kinetic particle model of matter.

What is the Kinetic Particle Model?

The kinetic particle model says that all matter is made of tiny particles (atoms, molecules, ions) that are always moving. The type of motion depends on the state of matter:

  • Solids – particles vibrate in fixed positions.
  • Liquids – particles move past each other.
  • Gases – particles move freely and rapidly.

Random Motion in Suspensions – Brownian Motion

When you stir a cup of tea and watch the tiny pollen grains, they move in a zig‑zag, unpredictable way. This is called Brownian motion and it occurs because the pollen grains are constantly hit by fast‑moving water molecules.

🔬 Key point: The erratic movement of suspended particles shows that the surrounding molecules are in constant, random motion – exactly what the kinetic particle model predicts.

Analogy: The Dance Floor

Imagine a crowded dance floor (the liquid). Each dancer (water molecule) is moving quickly and randomly. A larger dancer (pollen grain) tries to move but keeps bumping into the others. The result is a wobbly, unpredictable path – just like Brownian motion.

Mathematical Insight

The average kinetic energy of particles in a gas is related to temperature:

\$\langle E_k \rangle = \frac{3}{2}kT\$

where \$k\$ is Boltzmann’s constant and \$T\$ is absolute temperature. Higher temperature → faster particles → more vigorous Brownian motion.

Exam Tips

  • 📝 Define Brownian motion and explain its significance.
  • 📊 Use the kinetic particle model to explain why suspended particles move randomly.
  • 📐 Draw a diagram of a particle in a liquid, labeling the forces from surrounding molecules.
  • ⚖️ Relate temperature to particle speed using the formula above.

Illustrative Table: Particle Motion in Different States

StateParticle MotionTypical Speed
SolidVibrate about fixed positionsLow
LiquidMove past each otherModerate
GasMove freely and rapidlyHigh

Quick Check

  1. What causes the random motion of pollen grains in tea?
  2. How does temperature affect the speed of particles?
  3. Give an example of how the kinetic particle model explains a real‑world phenomenon.