Diffusion

Diffusion: net movement from high to low concentration, particle explanation, and factors affecting speed (temperature, state, molecular mass).

  • SEC G3 Pure Chemistry 2027
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Diffusion explanations connect the visible spreading to particle behaviour. Describe random motion and the resulting net movement down a concentration gradient.

Diffusion and concentration

Diffusion is the net movement of particles from a region of higher concentration to a region of lower concentration, due to constant random motion, until particles are more evenly distributed.

A concentration gradient means there is a difference in concentration between two regions.

This is explained by the Kinetic Particle Theory. For particle spacing and motion in liquids and gases, revise Changes in States of Matter.

Key ideas

  • Diffusion is usually faster in gases than in liquids because gas particles are farther apart and move more freely.
  • Higher temperature → greater average particle speed → faster diffusion, with other conditions kept the same.
  • Lighter gas particles (lower Mᵣ) diffuse faster than heavier particles at the same temperature.

Develop the particle explanation

Random motion gives a net change
  • Particles move randomly in both directions.
  • More leave a high-concentration region than return, giving net movement towards lower concentration.
  • At equal concentrations, crossings balance on average; random motion continues.

Why random motion causes net movement

Particles are always moving randomly. If one side has more particles per unit volume (higher concentration), more particles will move away from that side than move back. That gives a net movement from high concentration to low concentration.

Compare diffusion in gases and liquids

StateParticle spacingTypical diffusion speedWhy (particle explanation)
GasFar apartFastParticles move rapidly with weak forces
LiquidClose togetherSlowerParticles move but are close together with stronger forces

Temperature and molecular mass

FactorEffect on rateParticle explanation
TemperatureHigher temperature → faster diffusionParticles have greater average kinetic energy and move faster on average
Relative molecular mass (Mᵣ) (gases)Lower Mᵣ → faster diffusionLighter gas particles have a greater average speed at the same temperature
Safety: ammonia and hydrogen chloride

NH₃(g) is irritating and HCl(g) is corrosive. Do not inhale. This is a teacher demonstration, with appropriate ventilation and eye protection under the school’s risk assessment. Do not try it at home.

Ammonia and hydrogen chloride diffusion tubeAt the same temperature, ammonia has a lower relative molecular mass than hydrogen chloride and diffuses faster. The gases react to form a white ammonium chloride ring nearer the hydrogen chloride end. The arrows show net spreading, not the random motion of every molecule. This is a schematic, not a distance measurement.Ammonia solutionHydrochloric acidcotton wool releases NH₃(g)cotton wool releases HCl(g)white NH₄Cl(s) ringcloser to the HCl endNH₃: Mᵣ = 17 → fasterHCl: Mᵣ = 36.5 → slower
At the same temperature, ammonia has a lower relative molecular mass than hydrogen chloride and diffuses faster. The gases react to form a white ammonium chloride ring nearer the hydrogen chloride end. The arrows show net spreading, not the random motion of every molecule. This is a schematic, not a distance measurement.

Cotton wool soaked in ammonia solution and hydrochloric acid releases the two gases into opposite ends of the tube. They react where they meet:

NH₃(g) + HCl(g) → NH₄Cl(s)

The white ring is evidence that the gases have moved away from their sources and come into contact. The gases are at the same temperature; ammonia’s smaller molecular mass explains why the ring forms nearer the hydrogen chloride end.

Run the experiment with particles: see where the ring forms, and what changes when the tube is hotter.

t = 0 s

Ammonia and hydrogen chloride spreading along a 100 cm tube of air at 25 °C. The gases have not met yet.

Mean speed of NH₃
620 m/s
Mean speed of HCl
454 m/s
Ring formed after
— s
Ring from NH₃ end
— cm
Investigate
°C

Try this

0 of 4 done
  1. Heat the ice and watch the thermometer while it melts. (not done yet)

  2. Boil all the water, then do it again with a different heater power. (not done yet)

  3. Release ammonia and hydrogen chloride and wait for the white ring. (not done yet)

  4. Form the ring at 25 °C and again at 200 °C. (not done yet)

Distinguish random motion from net movement

“Net” means the overall change after accounting for movement in both directions. Imagine two regions of equal volume:

Starting distributionCrossings during an illustrative intervalOverall change
12 dye particles on the left, 4 on the right6 move left to right; 2 move right to leftNet movement of 4 particles to the right; 8 remain on each side
Equal concentrations: 8 particles on each sideEqual numbers cross each way, on averageNo net movement; random motion continues

These numbers illustrate the idea; real random crossings vary from moment to moment. Equal concentration does not freeze particles in place.

Misconceptions to check

  • Writing “diffusion is movement from high concentration to low concentration” but missing net movement and random motion.
  • Treating all visible spreading as diffusion. Convection moves a fluid in bulk because of density differences; stirring and other currents can also carry dissolved particles.
  • Saying “diffusion stops”. Better: net movement stops when concentrations are equal (particles still move randomly).
  • Using Mᵣ but forgetting to compare values (lower Mᵣ diffuses faster).

Build a clear explanation

Explain net movement

“Net movement from higher concentration to lower concentration due to constant random motion.”

NH3 vs HCl ring explanation

The white ring of NH₄Cl(s) forms closer to the HCl end because NH₃ has lower Mᵣ and diffuses faster, so it travels further in the same time.

Worked examples

Modelled example 1

Comparing Rates of Diffusion (Mr)

Core

Problem

At the same temperature, which gas diffuses faster: ammonia (NH₃) or hydrogen chloride (HCl)? Use relative molecular mass. Given: Aᵣ(N) = 14, Aᵣ(H) = 1, Aᵣ(Cl) = 35.5.

Study the worked solution
  1. Calculate both relative molecular masses

    Method

    Sum the relative atomic masses in each formula.

    Reason

    The comparison requires particle mass rather than formula length or atom count alone.

    Working

    Mᵣ(NH₃) = 14 + 3(1) = 17 Mᵣ(HCl) = 1 + 35.5 = 36.5

  2. Apply the same-temperature rule

    Method

    Identify ammonia as the lighter gas.

    Reason

    At the same temperature, lighter gas particles have a greater average speed and diffuse faster.

    Working

    17 < 36.5, so NH₃ is lighter than HCl.

  3. State the comparison

    Working

    NH₃ diffuses faster than HCl.

Guided practice 2

Temperature Factor (Liquid Diffusion)

About 4 min

Problem

Compare the diffusion of the same purple dye through equal volumes of water at two different, uniform temperatures. Assume stirring and convection are prevented and all other conditions are the same. Which sample is predicted to become evenly coloured first, and why?

Choose first, then write the causal chain

Becomes evenly purple first

Hints

Hint 1: start with kinetic energy

Compare the particles’ average kinetic energy at the two temperatures.

Hint 2: link motion to mixing

Faster random particle motion produces faster spreading through the water.

View solution step by step
  1. Compare particle energy

    Method

    State that particles in the hot water have greater average kinetic energy.

    Reason

    Temperature is related to average kinetic energy.

    Working

    Higher temperature → greater average kinetic energy.

  2. Infer the diffusion rate

    Method

    State that random particle movement spreads the dye faster in the hot water.

    Reason

    More rapid random motion increases the rate of diffusion.

    Working

    The hot water becomes evenly purple first.

Common misconception 3

Error Analysis (Bad Conclusion)

Find and correct the mistake

Learner response

A student says, “Diffusion stops when the concentration is equal everywhere because the particles stop moving.” Locate the first error and correct the statement.

Separate particle motion from net movement

What becomes zero at equal concentration?

View solution step by step
  1. Locate the first error

    Method

    Reject the claim that particles stop moving.

    Reason

    Particles remain in constant random motion even when their overall distribution is uniform.

    Working

    Equal concentration does not mean zero particle motion.

  2. Correct the net description

    Method

    State that net movement becomes zero.

    Reason

    With no concentration gradient, equal numbers move in opposite directions on average.

    Working

    Random movement continues, but there is no net movement from one region to the other.

Examiner practice 4

State Comparison

3 marks

Examination question

Diffusion is fast in gases but very slow in solids. Explain using the particle model. [3 marks]

Compare arrangement, motion and consequence

View solution step by step
  1. Describe gas particles

    1 mark

    Method

    State that gas particles are far apart and move rapidly in random directions.

    Reason

    Their spacing and free motion let them spread through the gas quickly.

    Working

    Gas: far apart, rapid random motion.
  2. Describe solid particles

    1 mark

    Method

    State that solid particles are closely packed and vibrate about fixed positions.

    Reason

    They cannot move freely through the solid lattice.

    Working

    Solid: closely packed particles that mainly vibrate about fixed positions.

  3. Link to the rate difference

    1 mark

    Working

    Gas particles can readily change position and spread. In a solid, movement from one site to another is rare, so diffusion is much slower.

Challenge 5

Concentration Gradient

Minimal support

Changing-gradient transfer

A small amount of perfume vapour is released in one corner of a closed room with no air currents. Explain how diffusion spreads it and how the rate of net movement changes as its concentration becomes more even.

Describe direction and changing rate

Rate as distribution becomes more even

Hints

Hint 1: identify the initial gradient

Concentration is highest near the spray and lower elsewhere in the room.

Hint 2: compare start and later

The concentration difference is largest just after spraying and decreases as particles spread.

View solution step by step
  1. Explain the initial spreading

    Method

    Describe random motion in both directions, with net movement away from the high-concentration region.

    Reason

    More perfume particles leave the region near the spray than return while the concentration gradient is large.

    Working

    Net movement is from higher concentration near the spray to lower concentration across the room.

  2. Explain the changing rate

    Method

    State that spreading is fastest initially and slows over time.

    Reason

    The concentration gradient becomes smaller as the distribution becomes more even.

    Working

    Large initial gradient → faster net movement; smaller later gradient → slower net movement.

Try these independently

Mind stretcher 1: Designing a Fair TestExtension

Question: You want to compare diffusion at two temperatures using the same dye. State two variables to keep the same. Explain why avoiding stirring alone does not prove that any observed spreading is caused only by diffusion.

Show Answer

Keep the water volume and dye amount and concentration the same; use the same container geometry too. Even without stirring, convection or the movement of an added drop can carry the dye. Keep each sample at a uniform temperature and reduce bulk fluid movement when studying diffusion.

Practise and check

Topic check

See what you know across this topic, then go back to anything you got wrong.

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Syllabus and review details

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