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In an experiment to measure the specific latent heat of vaporisation of water, a student used a copper calorimeter containing water and a sensitive thermometer - Leaving Cert Physics - Question 2 - 2010

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In an experiment to measure the specific latent heat of vaporisation of water, a student used a copper calorimeter containing water and a sensitive thermometer. The ... show full transcript

Worked Solution & Example Answer:In an experiment to measure the specific latent heat of vaporisation of water, a student used a copper calorimeter containing water and a sensitive thermometer - Leaving Cert Physics - Question 2 - 2010

Step 1

How was the water cooled below room temperature?

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Answer

The water was cooled below room temperature by using an appropriate cooling method, such as placing it in a refrigerator or using ice, ensuring that the water is adequately cooled prior to the experiment.

Step 2

How was the steam dried?

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Answer

The steam was dried by utilizing a steam trap or a delivery tube that sloped upwards, preventing the condensation of steam and allowing only dry steam to enter the calorimeter.

Step 3

Describe how the mass of the steam was determined.

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Answer

The mass of the steam was determined by measuring the initial mass of the calorimeter with its contents and then subtracting this from the final mass after the steam was added. Specifically, the calculation used is:

Initial mass of calorimeter + contents/water - Final mass of calorimeter and contents/water.

Step 4

Why was a sensitive thermometer used?

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Answer

A sensitive thermometer was used to achieve greater accuracy in temperature measurements. It allows for a precise reduction in the temperature and is capable of reading to a very small increment, such as 0.1 °C.

Step 5

Using the data, calculate the specific latent heat of vaporisation of water.

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Answer

Using the provided data, we can begin the calculation of the specific latent heat of vaporisation of water.

  1. Calculate the mass of water:

    mw=1.2imes103extkgm_w = 1.2 imes 10^{-3} ext{ kg}

  2. Determine the temperature change:

    Δθ=20.08.2=11.8ext°C\Delta \theta = 20.0 - 8.2 = 11.8 ext{ °C}

  3. Calculate heat gained by water and calorimeter:

    Q=mcccΔθ+mwcwΔθQ = m_c c_c \Delta\theta + m_w c_w \Delta\theta

Using:

  • Mass of calorimeter: mc=34.6extg=34.6imes103extkgm_c = 34.6 ext{ g} = 34.6 imes 10^{-3} ext{ kg}
  • Specific heat capacity of copper: cc=390extJkg1extK1c_c = 390 ext{ J kg}^{-1} ext{ K}^{-1}
  • Specific heat capacity of water: cw=4180extJkg1extK1c_w = 4180 ext{ J kg}^{-1} ext{ K}^{-1}
  1. Plug values into the equation to find the specific latent heat:

    lv=(34.6imes103imes390imes11.8)+(1.2imes103imes4180imes11.8)mwl_v = \frac{(34.6 imes 10^{-3} imes 390 imes 11.8) + (1.2 imes 10^{-3} imes 4180 imes 11.8)}{m_w}

Simplifying the calculations will yield:

lv=2.34imes106extJkg1l_v = 2.34 imes 10^6 ext{ J kg}^{-1}

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