Chemistry: Atoms First 2e · Liquids and Solids

Phase Transitions

7 min read
Constants cross-checked against standard references: water ΔHfus = 6.01 kJ/mol, ΔHvap = 40.65 kJ/mol at 100 °C, ΔHsub = 46.66 kJ/mol; specific heats: ice 2.09, liquid water 4.18, steam 2.01 J/(g·°C) (2026-08).
Want it in plain words first? Jump to Eli explains — the same idea, no jargon.
On this page 9 sections
  1. In 30 seconds
  2. Why this matters
  3. The college version
  4. Eli explains
  5. Worked example
  6. Key takeaway
  7. Check yourself
  8. Study tools
  9. Sources & references

In 30 seconds

A is a change of state — melting, freezing, vaporization, condensation, sublimation, or deposition — each carrying an enthalpy change: heat is absorbed for the "upward" transitions (melting, vaporization, sublimation) and released for the reverse ones. Since equals fusion plus vaporization, the six transitions form a closed energy loop (Hess's law).

The central idea is energy accounting: during a phase change at constant pressure the temperature stays constant — added heat breaks intermolecular attractions rather than raising kinetic energy. Only within a single phase does temperature rise. This topic develops the , the equations q = mcΔT and q = nΔH, and multi-step calculations — the classic "heat ice to steam" problem.

Why this matters

Phase-change energy is everywhere: sweating cools you because vaporization absorbs heat from skin (about 2.26 kJ per gram of water); steam burns worse than boiling water because condensation releases the full ; refrigerators and heat pumps are vaporization/condensation engines; freeze-drying preserves food by subliming ice. These heats let engineers size cooling systems — and explain why phase changes dominate cooking and weather energy budgets.

The college version

Core Concepts

The six transitions and their enthalpy changes

TransitionDirectionEnthalpy change
Melting (fusion)solid → liquidendothermic, ΔHfus > 0
Freezingliquid → solidexothermic, -ΔHfus
Vaporizationliquid → gasendothermic, ΔHvap > 0
Condensationgas → liquidexothermic, -ΔHvap
Sublimationsolid → gasendothermic, ΔHsub > 0
Depositiongas → solidexothermic, -ΔHsub

For a given substance, ΔHsub = ΔHfus + ΔHvap (Hess's law) — for water, 46.66 kJ/mol. Vaporization dominates: nearly seven times the heat of fusion.

Why temperature stays constant during a transition

During melting, added heat breaks the hydrogen bonds of the ice lattice, so temperature does not rise until the last crystal dissolves; the same plateau occurs at the boiling point. This is why an ice–water mixture stays at 0 °C while melting. At the transition, the two phases coexist in .

Heating curves: two kinds of heat

A heating curve plots temperature versus added heat. Sloped segments are single-phase regions where

q = m c ΔT

with m mass, c , ΔT temperature change. Flat segments are phase changes where:

q = n ΔH

with n moles and ΔH molar enthalpy. Multi-step problems sum the heat per segment: heating absorbs (+), cooling releases (−).

Supercooling and superheating (model limits)

Liquids can be cooled below their freezing point without freezing (supercooling) or heated above their boiling point without boiling (superheating) — the phase change needs a nucleation site to start. These metastable states don't violate equilibrium; boiling chips in the lab provide nucleation sites that prevent violent "bumping."

Vapor pressure's temperature dependence follows:

ln(P2P1) = -ΔHvapR(1T2 - 1T1)

At the boiling point, vapor pressure equals external pressure — which is why the boiling point moves with altitude, and why the vapor-pressure curve on a phase diagram doubles as the boiling-point curve.

How It Works / Step-by-Step Process

Heating 18.0 g of ice from −20 °C to steam at 120 °C:

  1. Divide the process into segments: ice warming (−20 → 0 °C), melting at 0 °C, water warming (0 → 100 °C), vaporizing at 100 °C, steam warming (100 → 120 °C).
  2. For warming segments use q = mcΔT with the right specific heat (ice 2.09, water 4.18, steam 2.01 J/(g·°C)).
  3. For phase changes use q = nΔH.
  4. Sum all five heats; heating = +, cooling = −.
  5. Check: vaporization should dominate.

Common Confusions

Common ConfusionCorrect Understanding
Temperature rises while ice melts.No — during melting temperature stays at 0 °C (constant pressure); heat breaks the lattice, not kinetic energy.
Boiling water gets hotter the longer it boils.At constant pressure, no — temperature is pinned at the boiling point.
Evaporation requires reaching the boiling point.Evaporation is surface-only, at any temperature; boiling is bulk vaporization at the boiling point.
Sublimation is special to dry ice.Any solid with significant vapor pressure sublimes — iodine, snow in dry air, freezer frost.
Condensation and freezing absorb heat.They release heat (exothermic) — the reverse of vaporization and melting.
ΔHsub = ΔHfus + ΔHvap only sometimes.It always holds for the same substance — a Hess's-law path.
All heating curves have plateaus at the same temperatures.Same shape, but plateau temperatures and lengths depend on the substance's ΔH and specific heats.
Eli, the EliExplains learning guide

Eli explains

The same idea, in plain words

Explain it like I’m 10

Changing phase is like breaking a chain of paper clips: melting snaps the chains so pieces slide (that takes energy), boiling snaps almost all links so pieces fly free (even more). While you're snapping clips, temperature doesn't rise — the heat is busy breaking links. Freezing and condensing re-link the pieces and give the energy back.

Worked example

Example 1: Heating 18.0 g of ice from −20 °C to steam at 120 °C

Given: m = 18.0 g, n ≈ 1.00 mol; specific heats: ice 2.09, water 4.18, steam 2.01 J/(g·°C); ΔHfus = 6.01, ΔHvap = 40.65 kJ/mol.

Step 1 — warm ice: q1 = (18.0)(2.09)(20) = 752 J

Step 2 — melt ice: q2 = (1.00)(6.01) = 6010 J

Step 3 — warm water: q3 = (18.0)(4.18)(100) = 7524 J

Step 4 — vaporize water: q4 = (1.00)(40.65) = 40,650 J

Step 5 — warm steam: q5 = (18.0)(2.01)(20) = 724 J

Total:

qtotal = 752 + 6010 + 7524 + 40,650 + 724 = 55,660 J ≈ 55.7 kJ

Vaporization alone contributes 73% — the key lesson of the heating curve. Run in reverse, the same calculation releases exactly 55.7 kJ.

Example 2: Why do steam burns hurt so much?

A 150 g jet of steam at 100 °C condenses to water at 100 °C: n = 150 g / 18.02 g/mol = 8.32 mol.

Write the condensation heat:

q = n(-ΔHvap) = (8.32 mol)(-40.65 kJ/mol) = -338 kJ

The negative sign means 338 kJ is released onto skin. For comparison, heating 1.0 kg of water from 20 °C to 100 °C requires:

q = mcΔT = (1000 g)(4.18 J/(g·°C))(80 °C) = 334 kJ

So condensing 150 g of steam delivers roughly the energy of boiling an entire liter of water — in an instant. That is why steam scolds are so much worse than boiling-water splashes of the same size.

Key takeaways

  • Six transitions: melting/freezing, vaporization/condensation, sublimation/deposition; upward = endothermic, downward = exothermic.
  • ΔHsub = ΔHfus + ΔHvap for the same substance.
  • Water: ΔHfus = 6.01 kJ/mol, ΔHvap = 40.65 kJ/mol.
  • Temperature is constant during a phase change at constant pressure — the heating-curve plateaus.
  • q = mcΔT for single-phase heating; q = nΔH for phase changes.
  • Vaporization dominates the energy budget: ~7× the heat of fusion for water.
  • Condensation and freezing release heat — the basis of steam burns and frost warming.
  • Supercooling/superheating are metastable states needing nucleation sites; boiling chips prevent bumps.

Check yourself

6 review questions from the chapter. Try each one, then open the answer.

  1. Name the six phase transitions and state whether each is endothermic or exothermic.

    Show answer

    Melting (+), freezing (−), vaporization (+), condensation (−), sublimation (+), deposition (−).

  2. Why does temperature remain constant while a pure substance melts, even as heat is added?

    Show answer

    At constant pressure, added heat breaks intermolecular attractions (potential energy), not average kinetic energy — so temperature holds steady until the transition completes.

  3. Which single step dominates the total heat for ice at −20 °C → steam at 120 °C?

    Show answer

    Vaporization (40.65 kJ) — by far the largest step (73% of the total).

  4. How much heat is released when 1.00 mol of steam at 100 °C condenses to water at 100 °C?

    Show answer

    −40.65 kJ — condensation releases -ΔHvap.

  5. Why are boiling chips added to liquids being heated in the lab?

    Show answer

    Boiling chips provide nucleation sites for bubbles, preventing superheating and violent bumping.

  6. Write ΔHsub for water in terms of ΔHfus and ΔHvap, and give the value.

    Show answer

    ΔHsub = ΔHfus + ΔHvap = 46.66 kJ/mol.

Keep learning

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Study tools & related lessonsKey vocabulary · Related

Key vocabulary

phase transition
Change between solid, liquid, and gas states
enthalpy of fusion
Heat to melt one mole of solid at its melting point
enthalpy of vaporization
Heat to vaporize one mole of liquid at its boiling point
enthalpy of sublimation
Heat to convert one mole of solid directly to gas
heating curve
Temperature vs. added heat, with plateaus at transitions
specific heat capacity
Heat to raise 1 g of a substance by 1 °C
dynamic equilibrium
Two phases interconverting at equal rates
supercooling / superheating
Metastable states where a phase persists past its transition point

Sources & references

  1. openstax.org — Chemistry Atoms First 2e

This lesson was adapted from the open educational references above; their licenses and attributions are preserved. See Copyright & Licensing.

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