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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 t... 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 water heater is plugged into the mains supply and turned on, electrical energy is transferred to the heating element. This energy causes the particles in the water to vibrate more vigorously, increasing their kinetic energy. In terms of energy stores, the internal energy of the water increases, leading to a rise in temperature. The energy is stored in the thermal energy store of the water, causing a temperature increase from the heating process.

Step 2

Calculate the energy required to increase the temperature of the water.

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Answer

To calculate the energy required to increase the temperature of the water, we can use the provided equation:

extchangeinthermalenergy=extmassimesextspecificheatcapacityimesextchangeintemperature ext{change in thermal energy} = ext{mass} imes ext{specific heat capacity} imes ext{change in temperature}

  1. Mass of water, m=10extkgm = 10 ext{ kg}.
  2. Specific heat capacity of water, c=4200extJ/kg°Cc = 4200 ext{ J/kg°C}.
  3. Change in temperature, ΔT=95°C20°C=75°CΔT = 95°C - 20°C = 75°C.

Now substituting these values into the equation:

extchangeinthermalenergy=10extkgimes4200extJ/kg°Cimes75°C=3,150,000extJ ext{change in thermal energy} = 10 ext{ kg} imes 4200 ext{ J/kg°C} imes 75°C = 3,150,000 ext{ J}

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

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