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The specific latent heat of vaporisation of water can be determined using the apparatus shown, a) A student planned to vary the current in the heater from 0 A to 5 A - Edexcel - A-Level Physics - Question 3 - 2023 - Paper 3

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The specific latent heat of vaporisation of water can be determined using the apparatus shown, a) A student planned to vary the current in the heater from 0 A to 5 ... show full transcript

Worked Solution & Example Answer:The specific latent heat of vaporisation of water can be determined using the apparatus shown, a) A student planned to vary the current in the heater from 0 A to 5 A - Edexcel - A-Level Physics - Question 3 - 2023 - Paper 3

Step 1

Criticise the student’s circuit.

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Answer

  1. Ammeter Position: The ammeter should be in series with the heater to accurately measure the current flowing through it. If the ammeter is not properly connected, it will not provide valid readings.

  2. Range of Ammeter: The range of the ammeter (mA) is too small. If the current is increased to 5 A, the ammeter may exceed its limit, leading to potential damage or incorrect readings.

  3. Graph Axis Labels: The axes on the ammeter should be clearly labeled to ensure that the readings can be interpreted correctly.

  4. Negative Reading: The current reading should not display a negative value in the circuit, indicating proper circuit connections.

Step 2

Sketch a graph, on the axes below, of how the readings on the balance would vary with time.

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The graph would show a straight line with a negative gradient, illustrating that the mass of water in the beaker decreases over time as it evaporates. The mass of water would decrease steadily at first, then may level off as the water reaches boiling point, indicating a stable mass loss until all the water has evaporated.

Step 3

Calculate the specific latent heat of vaporisation of water, L.

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To calculate L, we use the formula:

L=WmL = \frac{W}{m}

where W=VItW = V \cdot I \cdot t and mm is the change in mass.

  1. First, calculate the total energy used, WW:

    • V=12V,I=4.2A,t=6.0 minutes=6.0×60=360 secondsV = 12 V, I = 4.2 A, t = 6.0 \text{ minutes} = 6.0 \times 60 = 360 \text{ seconds}
    • W=12×4.2×360=181.8 JW = 12 \times 4.2 \times 360 = 181.8 \text{ J}
  2. The change in mass m=7.5g=0.0075kgm = 7.5 g = 0.0075 kg.

  3. Now substitute into the latent heat formula:

    • L=181.80.0075=2.424×104 J/kgL = \frac{181.8}{0.0075} = 2.424 \times 10^4 \text{ J/kg}

Step 4

Explain how another significant source of error affects the value of L obtained from the experiment.

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One significant source of error could be heat loss to the surroundings, which occurs when the beaker and water lose energy during the heating process. If heat escapes, not all the energy produced by the heater is effectively used to vaporise the water. As a result, the calculated value of L will be larger than the true value. This can lead to inaccurate estimations of the latent heat due to the energy balance being disturbed.

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