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An electric water heater is used to make hot water for drinks - OCR Gateway - GCSE Physics - Question 19 - 2022 - Paper 1

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An electric water heater is used to make hot water for drinks. (a) The water heater is plugged into the mains supply and turned on. Explain why the temperature of ... show full transcript

Worked Solution & Example Answer:An electric water heater is used to make hot water for drinks - OCR Gateway - GCSE Physics - Question 19 - 2022 - Paper 1

Step 1

Explain why the temperature of the water increases

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Answer

When the electric water heater is turned on, electrical energy is transferred from the mains supply to the water. This energy transfer occurs through the heating element, which uses electricity to generate heat. As the heating element warms up, it heats the water, causing an increase in thermal energy.

The energy stores of the water increase as the temperature rises. The kinetic energy of the water molecules increases, leading to a higher average kinetic energy, which is perceived as an increase in temperature.

Step 2

Calculate the energy required to increase the temperature of the water

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Answer

To calculate the energy required to heat the water from 20°C to 95°C, we use the given formula:

extchangeinthermalenergy=extmassimesextspecificheatcapacityimesextchangeintemperature ext{change in thermal energy} = ext{mass} imes ext{specific heat capacity} imes ext{change in temperature}
  • Mass of water = 10 kg
  • Specific heat capacity of water = 4200 J/kg°C
  • Change in temperature = 95°C - 20°C = 75°C

Substituting the values into the equation:

extchangeinthermalenergy=10extkgimes4200extJ/kg°Cimes75°C ext{change in thermal energy} = 10 ext{ kg} imes 4200 ext{ J/kg°C} imes 75°C

Calculating this gives:

extchangeinthermalenergy=10imes4200imes75=3150000extJ ext{change in thermal energy} = 10 imes 4200 imes 75 = 3150000 ext{ J}

Thus, the energy required to increase the temperature of the water is 3,150,000 J.

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