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6 (a) An electric kettle contains 1.41 kg of water at 25°C - Edexcel - GCSE Physics Combined Science - Question 6 - 2021 - Paper 1

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6 (a) An electric kettle contains 1.41 kg of water at 25°C. The kettle is switched on. After a while, the water reaches boiling point at 100°C. The specific heat ... show full transcript

Worked Solution & Example Answer:6 (a) An electric kettle contains 1.41 kg of water at 25°C - Edexcel - GCSE Physics Combined Science - Question 6 - 2021 - Paper 1

Step 1

Calculate the amount of thermal energy supplied to the water by the kettle.

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Answer

To find the thermal energy supplied to the water, we use the formula:

Q=mimescimesriangleT Q = m imes c imes riangle T

where:

  • mm is the mass of the water (1.41 kg)
  • cc is the specific heat capacity (4200 J/kg°C)
  • riangleT riangle T is the change in temperature (100°C - 25°C)

Now substituting the values:

Q=1.41imes4200imes(10025)Q = 1.41 imes 4200 imes (100 - 25)

Evaluating:

Q = 1.41 imes 4200 imes 75 \ Q = 444150 \

Rounding to the appropriate number of significant figures gives us 440000 J.

Step 2

Calculate the specific latent heat of vaporisation of water.

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Answer

We can use the formula for specific latent heat:

dQ=mimesL dQ = m imes L

where:

  • dQdQ is the thermal energy supplied (450000 J)
  • mm is the mass of water that evaporated (1.41 kg - 1.21 kg)
  • LL is the specific latent heat of vaporisation

First, we calculate the mass of evaporated water:

m=1.411.21=0.20extkgm = 1.41 - 1.21 = 0.20 ext{ kg}

Now substituting:

450000=0.20imesL450000 = 0.20 imes L

Rearranging gives us:

L = rac{450000}{0.20} = 2250000 ext{ J/kg}

Thus, the specific latent heat of vaporisation is 2250000 J/kg.

Step 3

Obtain the necessary measurements.

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Answer

To accurately determine the specific heat capacity of aluminium, the student should:

  • Measure the temperature of the boiling water using a thermometer.
  • Allow sufficient time for the aluminium block to reach the temperature of the boiling water.
  • Measure the temperature of the cold water before transferring the aluminium block into it.

Step 4

Use the measurements to calculate the specific heat capacity of aluminium.

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Answer

After transferring the aluminium block to the cold water, the student should:

  • Stir to ensure even distribution of temperature.
  • Measure the maximum temperature reached by the cold water after adding the aluminium block.
  • Calculate the temperature change of both the cold water and the aluminium block. Using these measurements, apply the energy balance equations to find the specific heat capacity of aluminium.

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