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O-LevelPhysicsElectricity5054/22 · Oct/Nov 2017 · Q1016 Marks

A boiler containing water is plugged into a 230 V mains supply. The heater in the boiler is operating at full power.

  1. (a)(i)The power used by the heater is 2.8kW. Calculate the current in the heater.[3]
  2. (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]
  3. (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]
  4. (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]
  5. (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]
  6. (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]
  7. (c)(iii)State and explain, in terms of particles, what happens to the density of the steel as its temperature increases.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [C1] (I =) P/ V or 2.8/230 or 2800/230
  2. [C1] 0.012 or 12
  3. [A1] 12 A
  4. [B1] 12 A < integral number of amperes < 20 A
  5. [C1] (Q =) m∆Tc or 6.3 × (49 – 23) × 4200 or 6.3 × 26 × 4200
  6. [A1] 6.9 × 10⁵ J
  7. [B1] more thermal energy is lost (per unit time)
  8. [B1] (when heated) water expands/volume of water increases/water becomes less dense
  9. [B1] heated water/water with more energetic particles rises
  10. [B1] cooler/denser water sinks or circulation or convection current
  11. [B1] atoms/molecules/ions/particles vibrate (more violently)
  12. [B1] collide with neighbouring atoms/molecules/ions/particles
  13. [B1] energy/heat/vibration passed on (to neighbour)
  14. or II
  15. [B1] particles/atoms/molecules/ions vibrate (more violently)
  16. [B1] atoms/molecules/ions/particles strike electrons
  17. [B1] electrons travel through transporting energy/heat
  18. [B1] particles/molecules/atoms move apart (on average)
  19. [B1] volume increases and density decreases

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About this question

Topic
Electricity, O-Level Physics (syllabus 5054). Structured question, 16 marks.
Source
O-Level Physics, Oct/Nov 2017 Paper 2 Variant 2, question 10.

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