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In an experiment to measure the specific latent heat of vaporisation of water, cool water was placed in a polystyrene cup - Leaving Cert Physics - Question 2 - 2015

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In an experiment to measure the specific latent heat of vaporisation of water, cool water was placed in a polystyrene cup. Dry steam was then added to the water. The... show full transcript

Worked Solution & Example Answer:In an experiment to measure the specific latent heat of vaporisation of water, cool water was placed in a polystyrene cup - Leaving Cert Physics - Question 2 - 2015

Step 1

Draw a labelled diagram of the apparatus used in the experiment.

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Answer

The labelled diagram should include:

  1. Polystyrene Cup: A diagram of the cup containing water.
  2. Steam Generator: Indicating where dry steam is produced.
  3. Thermometers, Steam Trap, Laggings, Lid, Mass Balance, and Delivery Tube: Label these components clearly.

Step 2

State two assumptions that the student made about the polystyrene cup when carrying out this calculation.

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  1. The polystyrene cup is a good insulator, meaning it does not transfer heat effectively to the surroundings.
  2. The cup has a negligible heat capacity compared to the heat absorbed by the water, implying it does not gain heat.

Step 3

Use the data given above to calculate the specific latent heat of vaporisation of water.

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  1. Calculate the mass of water used:

    mw=minitialmfinal=84.6extg87.2extg=0.0068extkgm_w = m_{initial} - m_{final} = 84.6 ext{ g} - 87.2 ext{ g} = 0.0068 ext{ kg}

  2. The temperature change of water: ΔT=TfinalTinitial=30°C11°C=19°C\Delta T = T_{final} - T_{initial} = 30 °C - 11 °C = 19 °C

  3. The energy gained by the water:

    E=mwimescimesΔT=0.0068extkgimes4180extJkg1extK1imes19extK=0.25imes104extJ E = m_w imes c imes \Delta T = 0.0068 ext{ kg} imes 4180 ext{ J kg}^{-1} ext{ K}^{-1} imes 19 ext{ K} = 0.25 imes 10^4 ext{ J}

  4. Finally, use the formula for specific latent heat:

    L=EmsteamL = \frac{E}{m_{steam}}

Assuming all steam is condensed, where we calculate the specific latent heat.

Step 4

(i) The student ensured that (i) the steam had been dried and (ii) the water that was initially in the cup had been cooled.

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Dried steam ensures that only steam is added, removing the possibility of introducing any additional water mass, which would otherwise alter the heat calculations. Cooling the initial water prevents any additional heat absorption or loss, ensuring that variations in temperature are minimized.

Step 5

(ii) How did each of these steps improve the accuracy of the experiment?

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By ensuring that the steam added was entirely dry and that the initial water was cooled, the student eliminated variables that could skew the heat calculations. This allows for more accurate measurements of energy transfer and thus a more reliable calculation of the specific latent heat of vaporization.

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