☰ Contents · Physics

Heat of fusion and vaporisation

Lessons 42–43 · 2 lessons · P. Habibullayev, A. Boydedayev, A. Bahromov, K. Suyarov, J. Usarov, M. Yuldasheva. Physics Grade 9, revised and expanded 3rd edition. G‘afur G‘ulom Publishing House, Tashkent, 2019
42

Specific heat of fusion. Melting and hardening of amorphous solids

Textbook: pp. 113–115
GoalKnow the specific heat of fusion λ, the formula Q = λm and the gradual softening of amorphous solids, and use them.
New words
specific heat of fusion λ · solishtirma erish issiqligi λheat of fusion · erish issiqligisoftening · yumshashcrystallisation · kristallanish
Explanation

The amount of heat required to turn 1 kg of a crystalline substance at its melting point completely into liquid is called the specific heat of fusion λ, unit J/kg. To melt a body of mass m at its melting point we need Q = λm; the same amount of heat is released on solidification. For ice λ ≈ 336 kJ/kg = 3.36·10⁵ J/kg: this is about the energy needed to heat 1 kg of water by 80 °C (4200·80 ≈ 336 000 J). That is why melting ice cools its surroundings strongly and snow melts slowly in spring. Amorphous solids (glass, resin, wax) soften gradually when heated and liquefy slowly; they have no definite melting temperature and no λ. This is why glass can be shaped by blowing. When going from ice to water and then to steam, the total heat is the sum of the separate stages.

Worked examples
Melting 2 kg of ice at 0 °C: Q = λm = 336 000·2 = 672 000 J = 672 kJ.
0.5 kg of ice at 0 °C turned into water at 20 °C: Q = 0.5·336 000 + 0.5·4200·20 = 168 000 + 42 000 = 210 000 J.
Class activity

Observation: take two ice pieces of equal size: put one in a glass of lukewarm water and the other in room air. Which melts faster? Why does ice melt faster in water, and why does the water cool? Use lukewarm, not boiling, water.

Practice
1
What is the physical meaning of λ?
2
2.5 kg of ice at 0 °C is melted completely. How much heat was needed (λ = 336 000 J/kg)? Answer in J.
3
Why is λ not used for amorphous solids?
4
Why does a drink cooled with ice cool quickly?