6 (a) An electric kettle contains 1.41 kg of water at 25°C - Edexcel - GCSE Physics Combined Science - Question 6 - 2021 - Paper 1
Question 6
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
where:
m is the mass of the water (1.41 kg)
c is the specific heat capacity (4200 J/kg°C)
riangleT is the change in temperature (100°C - 25°C)
Now substituting the values:
Q=1.41imes4200imes(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
where:
dQ is the thermal energy supplied (450000 J)
m is the mass of water that evaporated (1.41 kg - 1.21 kg)
L is the specific latent heat of vaporisation
First, we calculate the mass of evaporated water:
m=1.41−1.21=0.20extkg
Now substituting:
450000=0.20imesL
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.