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School-college Physics Notes: DENSITY 5.7 The curious density pattern of water

GCSE level Physics exam revision notes on density

Density and particle theory: Part 5.7

Comparing the relative density of the liquid and solid state and the curious case of water and its biological significance and graphs of density versus temperature explained

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[KEY POINTS and learning objectives for this page, after initial notes]

INDEX physics notes: Density, particle models, factors affecting density


5.7 The relative density of the liquid and solid state

and the curious case of water - the anomalous density of solid water (ice)

Before discussing the structure of ice we need to look at the anomalous density behaviour of water.

Left graph - density versus temperature for a typical liquid:

(1) Increase in temperature of solid, increase in thermal vibration, molecules move increasing a little more apart, density falls.

(2) Melting occurs when intermolecular forces weakened and increased freedom of movement moves the molecules a little bit apart decreasing the density.

(3) Increasing the temperature increases the KE of the liquid molecules, more energetic collisions, increasing with increase in temperature, steadily lowers the density of the liquid as the molecules bash each other a bit further apart as the intermolecular forces weaken more.

All of this is normal expected behaviour.

Right graph -density versus temperature for  water:

You also need to refer to the diagrams of ice structure below, as well as the graph above.

GCSE physics students do NOT have to know the details of hydrogen bonding mentioned on the ice diagrams.

BUT know its the strongest type of intermolecular force, which you do have to know about in chemistry.

Its the same intermolecular forces that holds the double helix together in DNA and RNA, and partly responsible for holding together the specific 3D protein shape of enzymes - you know more about hydrogen bonding than you think!

(1) Increase in temperature of solid, increase in thermal vibration, molecules move increasing a little more apart, density of ice falls - normal behaviour.

(2) Ice melts, but instead of an expected decrease in density, you get an increase in density of liquid water compared to ice - anomalous behaviour.

This is due to the partial breakdown of the open crystal structure of ice and the liquid molecules, despite their greater KE of movement, they actually have the freedom to get closer together (about 10% less volume) and so the density increases - you need to use a little imagination when looking at the ice diagrams - imagine when the open crystal structure breaks down, the water molecules can actually get closer together.

(3a-b) From 0oC to 100oC there is a continuous breakdown of the 'ice-like' structures in liquid water.

YES! the ice structure does not completely break down at 0oC on melting.

Clumps of water molecules persist and gradually get broken down with increase in temperature - increase in KE of molecules.

At the same time normal thermal expansion is going on! From 0oC to 4oC the effect of ice structure breakdown outweighs the normal thermal expansion, so you get a 2nd anomaly of the maximum density at 4oC (just over 1.0 g/cm3 or 1000 kg/m3).

(3b) The maximum density at 4oC is because the breakdown of ice-like structures in liquid water is exactly balanced by the effect of normal thermal expansion.

(3c) From 4oC the increasing KE of the molecules and more energetic collisions outweighs the break down of the clumps of water molecules and normal thermal expansion takes place.

ice diagram (i)

ice diagram (ii)

 

An important 'biological' consequence of the curious density behaviour of water

The anomalous density behaviour of ice has really important implications for aquatic life.

Because ice forms and floats on the surface of water, life can go on as normal in the liquid water below the ice.

The ice actually provides some insulation from the cold atmosphere, and in deeper ponds, rivers and lakes, most aquatic life can go on as normal.

 

Burst pipes!

Because water expands on freezing, water carrying pipes that are not insulated with some kind of lagging (plastic or cloth) may burst when the ambient temperature drops below 0oC and the liquid water turns to solid ice - less dense with a larger volume, quite a pressure is created.


Key points Density and particle theory: The anomalous density of liquid water

Information sources for Doc Brown's key points: IGCSE-GCSE physics are based on textbooks and syllabus-specifications for students taking the UK AQA, Edexcel, OCR 21st Century Science, OCR Gateway science suite, WJEC, CCEA and CIE GCSE physics 9-1 level science examinations

A structured set of summary revision notes on density and the anomalous behaviour of ice, including its domestic and biological consequences, tailored to the core requirements of WJEC, CCEA, CIE, AQA, Edexcel, and OCR GCSE/IGCSE Physics specifications.


Density and Anomalous Behaviour of Ice

What Is Density?

  • Density = Mass ÷ Volume,  ρ = m / V
    where:
    • ρ = density (kg/m³ or g/cm³)
    • m = mass (kg or g)
    • V = volume (m³ or cm³)

Why Is Ice Anomalous?

  • Most substances become denser when cooled.
  • Water behaves unusually:
    • As it cools below 4°C, it expands instead of contracting.
    • Ice has a lower density than liquid water due to its open hexagonal structure formed by hydrogen bonds.
    • This structure creates more space between molecules, increasing volume and decreasing density.

Domestic Consequences about the anomalous density of ice compared to other substances

Example Impact
Frozen pipes Water expands when freezing, causing pipes to burst.
Ice cubes float Useful in drinks; shows ice is less dense than water.
Fridge/freezer design Must accommodate expansion of water when frozen.

Biological Consequences of the anomalous density of ice compared to other substances

Example Impact
Ice floats on lakes Forms an insulating layer, protecting aquatic life in winter.
Seasonal mixing Melting ice contributes to nutrient cycling in lakes.
Survival of ecosystems Prevents complete freezing of water bodies, allowing life to persist.

Typical Exam Board Requirements about the anomalous density of ice compared to other substances

Key Focus Areas

Particle model, density, floating/sinking, ice behaviour.
Density calculations, anomalous expansion of water.
Particle spacing and density; water’s unusual behaviour.
Density and changes of state; biological relevance.
Density, floating ice, and environmental consequences.
Density differences, ice structure, and real-world effects.

Common Misconceptions about the anomalous density of ice compared to other substances

  • “Ice is heavier than water” – Ice is less dense, so it floats.
  • “All substances contract when cooled” – Water expands below 4°C.
  • “Density only affects solids” – Density applies to all states of matter.

Student Tips about the anomalous density of ice compared to other substances

  •  Draw particle diagrams showing ice’s open structure versus liquid water.
  •  Use real-world examples to explain floating and insulation.
  •  Practice density calculations and unit conversions.
  •  Link to energy stores: cooling reduces kinetic energy, affecting particle arrangement.
  •  Revise required practicals: measuring density and observing floating/sinking.

Keywords, phrases and learning objectives for density

Comparing relative density of liquid and solid states.

Know the about the anomalous density of ice.

Be able to explain the graphs of density versus temperature for all substances apart from water.

Be able to interpret the graph of density versus temperature for water.

Know about the biological significance of the curious case of water

graphs of density versus temperature explained


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INDEX of physics notes on density and particle models


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