🔥 Full Lesson · Thermochemistry
Flat Lines on a Heating Curve = Phase Change — ΔT = 0
Phase Changes

Keep adding heat to a substance during melting or boiling, and its thermometer reading refuses to budge — every joule of energy is being spent on something other than raising the temperature, and figuring out exactly what reveals one of the clearest ideas in all of thermochemistry.

Where the Heat Actually Goes During a Phase Change
Why temperature plateaus during melting and boiling

A heating curve is a graph plotting a substance's temperature (on the vertical axis) against the total heat energy added to it over time (on the horizontal axis), as that substance is heated continuously from a solid, through melting, warming as a liquid, through boiling, and finally warming further as a gas. This graph reveals a genuinely striking pattern: rather than rising smoothly and continuously the entire time, the temperature rises for a while, then stays perfectly flat for a stretch even as heat continues being added, then rises again, then flattens out again during a second stretch, before finally continuing to rise.

These flat, horizontal sections of a heating curve correspond exactly to the substance's phase changes — melting (solid to liquid) and boiling (liquid to gas). During these specific stretches, heat is still being added to the substance continuously, but the substance's temperature does not rise at all, remaining perfectly constant throughout the entire phase change, until the transformation from one phase to the next is fully complete.

This happens because, during a phase change specifically, all of the added heat energy is being used exclusively to break (or weaken) the intermolecular forces holding the substance's particles together in their current phase (covered in the IMFs lesson within Chemical Bonding) — none of that energy is being used to increase the particles' average kinetic energy, which is what temperature actually measures. Only once the phase change is fully complete, and every particle has fully transitioned to the new phase, does any further added heat resume increasing the particles' kinetic energy, and therefore the substance's measured temperature, once again.

💡 Why the Sloped and Flat Sections of a Heating Curve Are Governed by Different Quantities
A complete heating curve alternates between sloped sections (where temperature rises as heat is added) and flat sections (where temperature stays constant despite heat being added), and these two types of sections are actually governed by two entirely different physical quantities, each covered elsewhere in this sub-subject or a related one.

The sloped sections — where the substance exists purely as a single phase (solid, liquid, or gas) and is simply warming up within that phase — are governed by specific heat capacity, using the familiar q = mcΔT equation covered in the Calorimetry lesson. The steepness of the slope in any given sloped section depends directly on that phase's specific heat capacity: a phase with a low specific heat capacity requires relatively little energy to produce a given temperature rise, producing a steep slope, while a phase with a high specific heat capacity requires considerably more energy for the same temperature rise, producing a shallower, more gradual slope.

The flat sections — where the substance is actively transitioning between two phases — are instead governed by a completely different quantity: the heat of fusion (ΔH_fus, for melting/freezing) or the heat of vaporization (ΔH_vap, for boiling/condensing), using the equation q = n × ΔH (heat equals moles of substance times the relevant molar heat of transition). The length of a flat section on the heating curve (how much total heat must be added before the temperature starts rising again) depends directly on the magnitude of that specific phase change's heat of fusion or vaporization — a substance with a very large heat of vaporization (like water, whose hydrogen bonding requires unusually large amounts of energy to fully overcome) will have a notably long flat section during boiling, since a large total quantity of heat must be added throughout that entire transition before the substance's temperature can resume rising as a gas.
Solid
Reading the solid, melting, and liquid sections
Starting from a solid below its melting point, the first sloped section shows the solid warming up, governed by the solid phase's own specific heat capacity (q = mcΔT), until the melting point is reached. At the melting point, the curve flattens — this flat section represents the melting process itself, where added heat breaks down the rigid, ordered crystal lattice structure holding the solid's particles in fixed positions, with the length of this flat section governed by q = n × ΔH_fus (moles of substance times the heat of fusion). Once melting is fully complete, the curve resumes rising, now representing the liquid phase warming up according to the liquid's own specific heat capacity, until the boiling point is reached.
For water, the initial sloped section represents solid ice warming from some starting temperature up to 0°C; the first flat section, at exactly 0°C, represents ice actually melting into liquid water; the next sloped section represents liquid water warming from 0°C up toward 100°C.
Boil
Reading the boiling and gas sections
At the boiling point, the heating curve flattens a second time — this flat section represents the boiling (vaporization) process itself, where added heat overcomes the intermolecular forces holding the liquid's particles relatively close together, allowing them to separate into a much more widely spaced, freely moving gas. The length of this second flat section is governed by q = n × ΔH_vap (moles of substance times the heat of vaporization). Once boiling is fully complete, the curve resumes rising a final time, now representing the gas phase warming up further according to the gas's own specific heat capacity.
For water, the second flat section, at exactly 100°C, represents liquid water actually boiling into steam; the final sloped section represents steam (water vapor) continuing to warm above 100°C, following its own gas-phase specific heat capacity.
Compare
Why heat of vaporization is typically much larger than heat of fusion
For most substances, the flat section representing boiling (governed by ΔH_vap) is considerably longer than the flat section representing melting (governed by ΔH_fus) — meaning ΔH_vap is typically substantially larger than ΔH_fus for the same substance. This reflects a genuine physical difference between the two transitions: melting only needs to disrupt a solid's rigid, ordered lattice structure enough to allow particles some freedom of movement while still remaining relatively close together as a liquid, while boiling must fully and completely separate the liquid's particles from each other entirely, overcoming essentially all of the remaining intermolecular attraction between them to create a widely dispersed gas — a considerably more thorough separation requiring substantially more energy.
Water's heat of fusion is about 334 J/g, while its heat of vaporization is about 2260 J/g — nearly seven times larger, consistent with the general pattern that fully vaporizing a liquid into a gas requires substantially more energy than simply melting a solid into a liquid.
🔬 Applied Scenario — Reading and Applying Heating Curve Data
Heating curve concepts have direct, practical applications ranging from cooking and food safety to industrial process design and everyday weather phenomena.
A
Why boiling water stays at 100°C no matter how high you turn up the stove. Once water reaches its boiling point, additional heat from a stronger flame doesn't raise its temperature any further — instead, it simply causes the water to boil away (vaporize) more quickly, since all the additional heat energy is being used to convert liquid water into steam rather than to raise the water's own temperature beyond 100°C.
B
Why steam burns are often more severe than boiling water burns at the same measured temperature. Steam at 100°C carries substantially more total thermal energy than liquid water at the same 100°C temperature, because steam has already absorbed the large additional quantity of heat corresponding to water's heat of vaporization — when steam condenses back to liquid water on contact with skin, it releases that additional stored energy, contributing to more severe burns than an equivalent temperature of liquid water alone would cause.
C
Industrial and cooking processes exploit the constant-temperature property of phase changes for precise temperature control. A boiling water bath, or an industrial process using boiling or condensing steam, provides remarkably precise, stable temperature control specifically because the phase change itself holds temperature perfectly constant regardless of how much heat is being added or removed, as long as both phases remain simultaneously present.
D
Evaporative cooling (such as sweating) relies directly on the heat of vaporization. When sweat evaporates from skin, it absorbs a substantial quantity of heat energy from the skin (equal to its heat of vaporization) in order to actually vaporize, directly cooling the skin in the process — this is the same underlying heat of vaporization concept covered in this lesson, applied to the practical, biological context of thermoregulation.
📌 Exam Application
1. Heating curve flat sections represent phase changes (melting, boiling), where temperature stays constant despite continuous heat addition.

2. Sloped sections represent a single phase warming, governed by specific heat capacity (q=mcΔT).

3. Flat sections are governed by heat of fusion (ΔH_fus, for melting) or heat of vaporization (ΔH_vap, for boiling), using q = n × ΔH.

4. All heat added during a phase change goes into breaking intermolecular forces, none into raising temperature (kinetic energy).

5. ΔH_vap is typically much larger than ΔH_fus, since boiling must fully separate particles while melting only needs to disrupt the rigid solid structure.
⚠️ Most Common Phase Changes Mistakes
Temperature does NOT rise during a phase change, even though heat is continuously being added — this is the single most important and most frequently misunderstood point in this entire lesson. Students very commonly assume that adding more heat must always raise a substance's temperature. During melting or boiling specifically, all added heat goes into breaking intermolecular forces (changing phase), not into raising kinetic energy (temperature) — the thermometer reading stays perfectly flat throughout the entire phase change, no matter how much heat continues to be added.

Heat of fusion and heat of vaporization are two genuinely different quantities for the same substance — one describes melting/freezing, the other describes boiling/condensing, and they are usually NOT equal to each other. Students sometimes use the same ΔH value for both melting and boiling calculations. These are separate, independently measured physical properties, and ΔH_vap is typically considerably larger than ΔH_fus for the same substance, since the two transitions require different amounts of intermolecular disruption.

Specific heat capacity (used in the sloped sections) and heat of fusion/vaporization (used in the flat sections) are used in two completely different equations — mixing them up produces an incorrect calculation. Students sometimes try to use q=mcΔT for a flat, phase-change section, or q=nΔH for a sloped, single-phase section. The sloped sections require q=mcΔT (with ΔT nonzero); the flat sections require q=nΔH_fus or q=nΔH_vap (with ΔT equal to exactly zero throughout).
✓ Quick Self-Test
1. What do the flat (horizontal) sections of a heating curve represent, and why does temperature stay constant during them despite heat continuously being added?
2. What equation governs the sloped sections of a heating curve, and what equation governs the flat sections?
3. Why is a substance's heat of vaporization typically much larger than its heat of fusion?
4. Explain why steam at 100°C can cause more severe burns than liquid water at the same 100°C temperature.
5. If you continue heating boiling water on a stove with a stronger flame, does the water's temperature rise above 100°C? Explain why or why not.

Answers:
1. The flat sections represent phase changes (melting or boiling). Temperature stays constant during these sections because all the heat being added is being used exclusively to break or weaken the intermolecular forces holding the substance's particles together in their current phase, rather than increasing the particles' kinetic energy (which is what temperature actually measures).
2. The sloped sections are governed by specific heat capacity, using q = mcΔT. The flat sections are governed by the heat of fusion or heat of vaporization, using q = n × ΔH (moles times the relevant molar heat of transition).
3. Heat of vaporization is typically much larger than heat of fusion because melting only needs to disrupt a solid's rigid structure enough to allow some particle movement while remaining relatively close together as a liquid, while boiling must fully and completely separate the liquid's particles from each other, overcoming essentially all remaining intermolecular attraction — a considerably more thorough separation requiring substantially more energy.
4. Steam at 100°C has already absorbed the large additional quantity of heat corresponding to water's heat of vaporization, meaning it carries substantially more total thermal energy than liquid water at the same measured temperature. When steam condenses back to liquid on contact with skin, it releases this additional stored energy, contributing to more severe burns than an equivalent temperature of liquid water alone.
5. No — the water's temperature will not rise above 100°C as long as it continues actively boiling. A stronger flame simply causes the water to boil away (vaporize) more quickly, since all the additional heat energy is being used to convert liquid water into steam (the phase change itself), not to raise the water's temperature beyond its boiling point.
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