A boiler containing water is plugged into a 230 V mains supply. The heater in the boiler is operating at full power.
- (a)(i)The power used by the heater is 2.8kW. Calculate the current in the heater.[3]
- (a)(ii)The wiring in the cable from the socket and in the boiler remains safe and does not overheat provided that the current is less than 20A. Suggest a suitable fuse rating for the circuit.[1]
- (b)(i)The specific heat capacity of water is 4200J/(kg°C). The heater is used to increase the temperature of 6.3 kg of water. In a certain time, the temperature of the water increases from 23°C to 49°C. Calculate the change in the internal energy of the water.[2]
- (b)(ii)The heater supplies thermal energy to the water at a constant rate. It takes more time for the temperature of the water to increase from 49°C to 75°C than from 23°C to 49°C. In both cases, the increase in temperature is the same. Suggest why it takes more time for the temperature to increase from 49°C to 75°C.[1]
- (c)(i)[Figure 10.1] shows the heater at the bottom of the water in the boiler. Explain how thermal energy is transferred from the heater throughout the water.[3]
- (c)(ii)The part of the boiler that holds the water is made from steel. Describe, in terms of particles, how thermal energy passes through the steel.[3]
- (c)(iii)State and explain, in terms of particles, what happens to the density of the steel as its temperature increases.[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 (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [C1] (I =) P/ V or 2.8/230 or 2800/230
- [C1] 0.012 or 12
- [A1] 12 A
- [B1] 12 A < integral number of amperes < 20 A
- [C1] (Q =) m∆Tc or 6.3 × (49 – 23) × 4200 or 6.3 × 26 × 4200
- [A1] 6.9 × 10⁵ J
- [B1] more thermal energy is lost (per unit time)
- [B1] (when heated) water expands/volume of water increases/water becomes less dense
- [B1] heated water/water with more energetic particles rises
- [B1] cooler/denser water sinks or circulation or convection current
- [B1] atoms/molecules/ions/particles vibrate (more violently)
- [B1] collide with neighbouring atoms/molecules/ions/particles
- [B1] energy/heat/vibration passed on (to neighbour)
- or II
- [B1] particles/atoms/molecules/ions vibrate (more violently)
- [B1] atoms/molecules/ions/particles strike electrons
- [B1] electrons travel through transporting energy/heat
- [B1] particles/molecules/atoms move apart (on average)
- [B1] volume increases and density decreases
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