A student puts 0.10 kg of ice at 0 ∘C0\ ^{\circ}\text{C}0 ∘C into 0.30 kg of water at 80 ∘C80\ ^{\circ}\text{C}80 ∘C in an insulated flask.
The specific heat capacity of water is 4200 J/kg ∘C4200\ \text{J/kg}\ ^{\circ}\text{C}4200 J/kg ∘C.
The specific latent heat of fusion of ice is 334 000 J/kg334\,000\ \text{J/kg}334000 J/kg.
Assume that no energy is transferred to the flask or to the surroundings.
Calculate the energy needed to melt all of the ice.
Show that the water transfers about 100 000 J100\,000\ \text{J}100000 J if it cools from 80 ∘C80\ ^{\circ}\text{C}80 ∘C to 0 ∘C0\ ^{\circ}\text{C}0 ∘C.
Use your answers to (a) and (b) to explain whether all of the ice melts.
Calculate the final temperature of the water in the flask.
110 exam-style questions on Edexcel GCSE Physics 14.2 Specific heat capacity and latent heat, covering 14.2.1 Heating, temperature and changes of state, 14.2.2 Specific heat capacity and specific latent heat, 14.2.3 Specific heat capacity calculation, 14.2.4 Specific latent heat calculation, and 14.2.5 Reducing energy transfer through thermal insulation. Each one has a worked solution and a mark scheme showing where the marks go.