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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

To draw the apparatus, your diagram should include:

  • Polystyrene cup with water: Indicate the cup containing the initial cool water.
  • Steam generator: Show the source of steam used in the experiment, connected to the cup.
  • Thermometer: Place a thermometer in the water to measure the temperature.
  • Lid: Optional, but indicate a lid on the polystyrene cup to minimize heat loss.
  • Mass balance: Include a balance used for measuring the mass of the cup before and after adding steam.
  • Detailed labeling: Clearly label each component to reflect their functions.

Step 2

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

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  1. It is a good/neglectible heat insulator: This means that heat does not escape significantly from the cup.
  2. It has a low/negligible specific heat capacity: This implies that the cup does not absorb a significant amount of heat during the experiment.

Step 3

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

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First, find the change in mass of the water:

  • Initial mass of water, m1=84.6extg1.2extg=83.4extg=0.0834extkgm_{1} = 84.6 ext{g} - 1.2 ext{g} = 83.4 ext{g} = 0.0834 ext{kg}

  • Final mass of water, mf=87.2extg1.2extg=86.0extg=0.0860extkgm_{f} = 87.2 ext{g} - 1.2 ext{g} = 86.0 ext{g} = 0.0860 ext{kg}

  • Change in mass of water vaporised, m=mfm1=0.0860extkg0.0834extkg=0.0026extkgm = m_f - m_1 = 0.0860 ext{kg} - 0.0834 ext{kg} = 0.0026 ext{kg}

Using the specific heat formula:

Q=mcriangleTQ = mc riangle T

Where:

  • QQ is energy gained
  • mm is mass of water
  • c=4180extJkg1extK1c = 4180 ext{ J kg}^{-1} ext{K}^{-1}
  • Change in temperature, riangleT=30°C11°C=19°C riangle T = 30°C - 11°C = 19°C

Calculating the energy gained by the water:

Q=0.0834imes4180imes19=6.82imes103extJQ = 0.0834 imes 4180 imes 19 = 6.82 imes 10^{3} ext{ J}

Next, use the formula for latent heat:

L = rac{Q}{m} = rac{6.82 imes 10^{3}}{0.0026} = 2.62 imes 10^{6} ext{ J/kg}

Step 4

(i) How does ensuring that the steam had been dried improve the accuracy of the experiment?

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Ensuring that only dry steam is used prevents any excess water from condensing and affecting the mass measurement. If moist steam were present, it would add additional mass to the system and potentially affect the temperature readings, leading to inaccuracies in calculating the latent heat.

Step 5

(ii) How does ensuring that the water that was initially in the cup had been cooled improve the accuracy of the experiment?

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Answer

Cooling the initial water ensures that all the heat added to the water comes from the steam alone. This avoids heat loss or gain from other sources, thereby providing more accurate data regarding the total heat exchanged during the experiment.

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