What you are looking at
A sample is heated at a steady rate by the burner below. The beaker shows its state (solid, liquid, gas), the
thermometer shows its temperature, and the graph plots
temperature against the heat you've poured
in. The striking feature is the two
flat plateaus — stretches where you keep adding
energy but the temperature refuses to rise.
Two ways heat is used
Within a single phase, added heat raises the temperature. How much depends on the
specific heat
capacity c:
Q = m c ΔT (sloped parts of the curve)
But at a phase change, the heat goes into
breaking bonds rather than speeding molecules up,
so the temperature holds steady while the substance converts. The energy per gram to do this is the
latent heat L:
Q = m L (the flat plateaus)
Melting needs the
latent heat of fusion L_f; boiling needs the
latent heat of
vaporisation L_v.
Why the plateaus differ in length
For water, L_f = 334 J/g but L_v = 2260 J/g — so the
boiling plateau is far longer than the
melting one. It takes far more energy to tear molecules completely apart into a gas than merely to loosen
them from a solid into a liquid. That huge vaporisation energy is why steam burns are so severe and why
sweating cools you so effectively.
Reading the curve
Notice the sloped segments even have different steepness: ice, liquid water and steam have different specific
heats (2.09, 4.18 and 2.01 J/g°C), so the same heat raises their temperatures by different amounts — liquid
water warms the slowest. Switch substances to see how the melting and boiling points, and the plateau lengths,
change with the material.
Things to try
Heat water from ice all the way to steam and watch the temperature stall twice. Compare the short melting
plateau with the long boiling one. Turn up the power to move faster, or add mass to lengthen every stage
proportionally. Switch to iron and see melting and boiling points in the thousands of degrees.