States of Matter: The Heating Curve, Phase Changes, and Latent Heat

Add heat to ice and watch it melt then boil on a live heating curve: the temperature plateaus at 0 and 100 °C while energy breaks bonds. Covers the states, phase changes, and latent heat.

Written and reviewed by the PrepOK team Last reviewed How we check these lessons

Add heat to 1 gram of ice and watch it warm, melt, warm again, then boil. The temperature stops rising at each phase change, because the energy goes into breaking bonds, not into making particles move faster.

Heating curve of water: a temperature-vs-heat diagram
-200100120Temperature (°C)Heat added (J) →melting 0 °Cboiling 100 °C
cold icehot steam
Particles right now
solid liquid gas
Temperature
-20 °C
State
Solid
Where the energy goes
Kinetic
temperature
0%
Potential
breaking bonds
0%

On a slope, kinetic energy rises (it gets hotter). On a flat plateau, kinetic energy holds and potential energy climbs instead. The bars are relative to this run, from cold ice to hot steam, not absolute energy.

Solid. The ice is warming up: its particles vibrate faster in fixed positions.

Warming ice · q = m·c·ΔT

Real numbers for 1 gram of water: it takes 334 J to melt it at 0 °C and 2260 J to boil it at 100 °C. That is why the boiling plateau is far longer than the melting one: boiling takes about 6.8 times more energy. The sloped parts follow q = m·c·ΔT; the flat plateaus follow q = m·L.

0 J, -20 °C, Solid. Kinetic energy 0%, potential 0%.

What are the states of matter?

Everything around you is in a state of matter, set by how its tiny particles are arranged and how fast they move. The three everyday states are solid, liquid, and gas, and a substance moves between them as you add or remove heat. The interactive states of matter diagram above is the heating curve of water: drag heat in and watch ice warm, melt, warm again, and boil, all from real numbers.

How the particles are arranged: solid, liquid, gas

The difference between the states is not the particles themselves (a water molecule is the same molecule in ice, water, and steam), but how they are arranged and moving:

StateParticle arrangementMotionShape and volume
SolidPacked in a fixed, ordered latticeVibrate in placeFixed shape, fixed volume
LiquidClose together but disorderedSlide past each other (flow)Fixed volume, takes container’s shape
GasFar apart, mostly empty spaceMove fast and freelyFills the whole container

As you heat a substance, its particles gain energy and the arrangement loosens: a rigid solid becomes a flowing liquid, then a free gas. You can watch why this happens at the particle level, with real attractions and collisions, in the Particle Box.

How many states of matter are there?

Three are taught as the everyday states (solid, liquid, gas), but there are more:

So a fair answer is “three common states, four with plasma, and a few exotic ones under extreme conditions.”

The heating curve of water: watch the temperature stall

Add heat steadily to ice and plot its temperature, and you do not get a straight climb. You get five pieces with two flat shelves, the heating curve:

  1. The ice warms up (temperature rises).
  2. The ice melts at 0 °C: temperature holds flat.
  3. The liquid water warms up (temperature rises).
  4. The water boils at 100 °C: temperature holds flat.
  5. The steam warms up (temperature rises).

The two flat plateaus are the surprising part, and they are the heart of this lesson.

-20050100120 Temperature (°C) Energy added (J per gram) → solid + liquid liquid + gas
Heating curve of water, 1 g, at 1 atm. The two flat stretches are the phase changes, and the label on each names the two states present at once. Between them the line slopes, and only one state is present. The table below names all five stretches with their energies.

Reading the curve: what the slopes and the plateaus mean

There is one rule, and it answers most questions asked about this graph:

So a plateau corresponds to a change of state. The temperature holds steady the whole way across it, and only starts climbing again once the last of the ice has melted or the last of the water has boiled away.

The five pieces of water's heating curve, with the slope, the states present, what happens to the temperature and the energy needed per gram.
Piece of the curve Slope States present Temperature Energy goes into Energy per gram
Warming the solid, -20 to 0 °C positive solid rising kinetic: particles speed up 41 J
Melting at 0 °C flat (zero) solid and liquid holds at 0 °C potential: attractions break 334 J
Warming the liquid, 0 to 100 °C positive liquid rising kinetic: particles speed up 418 J
Boiling at 100 °C flat (zero) liquid and gas holds at 100 °C potential: attractions break 2260 J
Warming the gas, 100 to 120 °C positive gas rising kinetic: particles speed up 40 J

Notice how uneven the pieces are. Boiling takes 2260 J against melting’s 334 J, about 6.8 times as much, which is why the upper plateau stretches so much further across the graph than the lower one.

What is the melting point, and what is the boiling point?

The melting point is the temperature at which a solid turns into a liquid, and it is exactly the same temperature at which that liquid freezes going the other way. The boiling point is where the liquid turns to gas throughout its bulk. Both are properties of the substance, and at both of them the two states sit side by side while the change happens.

For water at 1 atmosphere:

CelsiusFahrenheitKelvin
Melting point (and freezing point)0 °C32 °F273.15 K
Boiling point (and condensation point)100 °C212 °F373.15 K

Pressure matters for boiling: at altitude there is less air pressing on the liquid, so water boils below 100 °C, which is why cooking takes longer up a mountain. Melting points shift far less with pressure.

Why the temperature stops rising: latent heat

Temperature measures the average kinetic energy (the speed) of particles. On the sloped parts of the curve, added energy speeds the particles up, so the temperature rises. But during a phase change, the added energy does something else: it breaks the intermolecular forces holding particles together. That stored energy is potential energy, not motion, so the thermometer does not move. This hidden energy is called latent heat (“latent” means hidden).

The six changes of state

A change between states is a phase change (or change of state). There are six, in three reversible pairs. The forward direction absorbs energy (endothermic); the reverse releases it (exothermic):

ChangeDirectionEnergyEveryday example
Meltingsolid → liquidabsorbedAn ice cube turning to water
Freezingliquid → solidreleasedWater turning to ice in a freezer
Vaporizationliquid → gasabsorbedWater boiling into steam
Condensationgas → liquidreleasedDew on cold grass at dawn
Sublimationsolid → gasabsorbedDry ice fogging without melting
Depositiongas → solidreleasedFrost forming on a cold window

Sublimation and deposition skip the liquid entirely: dry ice (solid carbon dioxide) turns straight into gas, and frost forms straight from water vapor. These same phase changes, driven by the sun and the cold, power the water cycle.

The cooling curve: the same graph backwards

Take heat out instead of putting it in and you get the cooling curve. It is the heating curve mirrored: the same two plateaus at the same two temperatures, but now the changes run the other way and the energy is released rather than absorbed.

-20050100120 Temperature (°C) Energy removed (J per gram) → solid + liquid liquid + gas
Cooling curve of water, 1 g, at 1 atm. The two flat stretches are the phase changes, and the label on each names the two states present at once. Between them the line slopes, and only one state is present. The table below names all five stretches with their energies.

Steam cools, condenses at 100 °C, the liquid water cools, freezes at 0 °C, and the ice cools. The plateaus mean exactly what they meant before: two states present at once, temperature holding steady, energy moving into or out of the attractions between particles rather than into their speed. The only difference is the sign.

Specific heat vs latent heat: do the math

The heating curve is built from two kinds of energy, and you can calculate each:

Worked example: how much energy turns 1 g of ice at −20 °C into steam at 120 °C? Add the five steps:

Boiling alone is 2260 J, far more than any other step. That is why the boiling plateau on the curve is so much longer than the melting plateau: it takes about 6.8 times more energy to boil water than to melt it.

Where states of matter connect

This lesson is the macroscopic energy view of matter: temperature, heat, and the phase changes between states. For the microscopic why (how attractions and particle speed decide the state), play with the Particle Box. For the gas phase in real depth (how pressure, volume, and temperature relate), see the gas laws. It’s free to embed on your own site or LMS.

Frequently asked questions

What are the states of matter?
The three everyday states of matter are solid, liquid, and gas. In a solid, particles are packed in a fixed, ordered arrangement and only vibrate in place, so a solid keeps its shape and volume. In a liquid, particles stay close but slide past each other, so a liquid keeps its volume but takes the shape of its container. In a gas, particles are far apart and move freely, so a gas spreads to fill any container. A fourth state, plasma (an ionized gas), is the most common state in the universe.
How many states of matter are there?
There are three classic states (solid, liquid, gas) plus plasma, giving four commonly taught states. Scientists also recognize more exotic states under extreme conditions, such as the Bose-Einstein condensate near absolute zero, so some lists count five or more. For most chemistry, the three everyday states plus plasma are what matter.
Why does the temperature stay constant during melting or boiling?
During a phase change, all the added heat goes into breaking the intermolecular forces that hold particles together, not into making them move faster. Temperature measures the average kinetic energy (speed) of particles, and since that is not changing, the thermometer reading holds steady. This is why the heating curve has flat plateaus at the melting point and boiling point. The hidden energy is called latent heat.
What is the difference between specific heat and latent heat?
Specific heat is the energy needed to raise the temperature of 1 gram of a substance by 1 °C within a single state, using q = m·c·ΔT; here both temperature and kinetic energy rise. Latent heat is the energy needed to change a substance from one state to another with no temperature change, using q = m·L; here potential energy rises as bonds break. On a heating curve, specific heat governs the sloped segments and latent heat governs the flat plateaus.
What is the difference between evaporation and boiling?
Both turn a liquid into a gas, but evaporation happens only at the surface and at any temperature, when the fastest surface molecules escape (which is why a puddle dries up and why sweating cools you). Boiling happens throughout the whole liquid, forming vapor bubbles in the bulk, and only at the boiling point, when the liquid's vapor pressure matches the surrounding air pressure.
On a heating curve, what does a plateau correspond to?
A change of state. The flat stretch is where the substance is melting or boiling, so all the energy going in is breaking attractions between particles rather than speeding them up. The thermometer holds steady the whole way across, and only starts rising again once the change is complete.
What states of matter are present when the slope of a heating curve is positive, and when it is zero?
A positive slope means exactly one state is present and it is warming up: solid on the first rise, liquid on the second, gas on the third. A flat stretch means two states are present at once, changing from one to the other: solid and liquid together at the melting point, liquid and gas together at the boiling point.
What is the melting point?
The melting point is the temperature at which a solid turns into a liquid, and the same temperature at which the liquid freezes going the other way. At that temperature the solid and the liquid coexist and the temperature holds steady while the change happens. For water at 1 atm it is 0 °C, which is 32 °F or 273.15 K.
What is the boiling point of water?
100 °C at 1 atmosphere of pressure, which is 212 °F or 373.15 K. It drops at higher altitude because there is less air pressure for the vapour to push against, which is why food takes longer to cook up a mountain.
What is a cooling curve?
The same graph run backwards: temperature plotted as heat is removed instead of added. It has the same two plateaus at the same temperatures, but now they are freezing and condensing, and the energy is being released rather than absorbed. Steam cools, condenses at 100 °C, the water cools, freezes at 0 °C, and the ice cools.
A cube of ice is heated until it melts and then evaporates. What are the three states in order?
Solid, liquid, gas. The ice is the solid, melting turns it into liquid water, and evaporating turns that into water vapour, a gas. The two changes between them are melting and vaporization, and both absorb energy.
What are the six changes of state?
Melting (solid to liquid), freezing (liquid to solid), vaporization or boiling (liquid to gas), condensation (gas to liquid), sublimation (solid straight to gas, like dry ice), and deposition (gas straight to solid, like frost). Melting, vaporization, and sublimation absorb energy (endothermic); freezing, condensation, and deposition release it (exothermic).

Sources

The figures in this interactive are computed from unit-tested code and the sources above, not typed in by hand. See how we build and check these lessons, and tell us at support@prepok.com if you spot an error.

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