Define the specific latent heat of fusion of a substance.
Small pieces of ice at 0 ∘C0\text{ }^\circ\text{C}0 ∘C are added to 0.40 kg0.40\text{ kg}0.40 kg of water. The initial temperature of the water is 25.0 ∘C25.0\text{ }^\circ\text{C}25.0 ∘C. The temperature of the water decreases to 0 ∘C0\text{ }^\circ\text{C}0 ∘C. The water loses 42 000 J42\,000\text{ J}42000 J of thermal energy as it cools. All of the ice added to the water melts.
The specific latent heat of fusion of ice is 3.3×105 J/kg3.3 \times 10^5\text{ J/kg}3.3×105 J/kg.
Calculate:
(i) the specific heat capacity of water.
(ii) the mass of ice added to the water.
528 exam-style questions on CIE IGCSE Physics 2.2 Thermal properties and temperature, covering 2.2.1 Thermal expansion of solids, liquids and gases, 2.2.2a Internal energy and temperature, 2.2.2b Specific heat capacity, 2.2.3a Melting, boiling, condensation and solidification, 2.2.3b Evaporation, and 2.2.3c Cooling by evaporation. Each one has a worked solution and a mark scheme showing where the marks go.