During melting, a solid becomes liquid with little or no change in volume. Use kinetic theory to explain why, during the melting process, thermal energy is required although there is no change in temperature.
- (a)During melting, a solid becomes liquid with little or no change in volume. Use kinetic theory to explain why, during the melting process, thermal energy is required although there is no change in temperature.[3]
- (b)(i)An aluminium can of mass 160 g contains a mass of 330 g of warm water at a temperature of 38°C, as illustrated in Fig. 3.1. A mass of 48 g of ice at –18°C is taken from a freezer and put in to the water. The ice melts and the final temperature of the can and its contents is 23°C. Data for the specific heat capacity c of aluminium, ice and water are given in Fig. 3.2. Assuming no exchange of thermal energy with the surroundings, show that the loss in thermal energy of the can and the warm water is 2.3 × 10⁴ J,[2]
- (b)(ii)use the information in (i) to calculate a value L for the specific latent heat of fusion of ice.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [B1] (during melting,) bonds between atoms/molecules are broken
- [B1] potential energy of atoms/molecules is increased
- [B1] no/little work done so required input of energy is thermal
- [C1] (ΔQ =) mcΔθ
- [A1] loss = (160 × 0.910 × 15) + (330 × 4.18 × 15) = 2.3 × 10⁴ J
- [C1] 2.3 × 10⁴ = (48 × 2.10 × 18) + 48L + (48 × 4.18 × 23)
- [A1] 48L = 1.66 × 10⁴
- [A1] L = 350 J g⁻¹
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