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In an experiment to determine the specific latent heat of fusion of ice, a student first crushed some ice - Leaving Cert Physics - Question 3 - 2019

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In an experiment to determine the specific latent heat of fusion of ice, a student first crushed some ice. She then dried the melting ice before adding it to warm wa... show full transcript

Worked Solution & Example Answer:In an experiment to determine the specific latent heat of fusion of ice, a student first crushed some ice - Leaving Cert Physics - Question 3 - 2019

Step 1

Why did the student (i) crush the ice?

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Answer

The student crushed the ice to ensure that it was all at the same temperature and to facilitate faster melting by increasing the surface area exposed to the warmer water.

Step 2

Why did the student (ii) dry the ice?

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Answer

Drying the ice was crucial to ensure that only ice was added to the calorimeter, preventing water from the melting ice from affecting the results.

Step 3

How was the ice (iii) crushed?

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Answer

The ice was crushed using an ice crusher, which breaks the ice into smaller pieces to enhance the melting process.

Step 4

How was the ice (iv) dried?

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Answer

The ice was dried using a towel to remove any moisture from its surface before it was introduced into the calorimeter.

Step 5

Why did she (v) use warm water?

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Answer

Warm water was used because it would melt the ice more quickly and efficiently, leading to a more accurate measurement of energy transfer.

Step 6

Why did she (vi) use melting ice?

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Using melting ice ensures that the ice is at 0 °C, which is essential for accurately calculating the latent heat of fusion.

Step 7

Use the data to calculate the specific latent heat of fusion of ice.

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Using the formula extQ=mL ext{Q} = mL where QQ is the heat absorbed, mm is the mass of the ice, and LL is the specific latent heat of fusion.

The initial temperature change: heta0=8.0°C29.5°C=21.5°C heta_0 = 8.0 °C - 29.5 °C = -21.5 °C

The mass of water: m=122.9g108.5g=14.4g=0.0144kgm = 122.9 g - 108.5 g = 14.4 g = 0.0144 kg

Now, calculate energy gained from the water: extEnergyfromwater=mimescimesheta ext{Energy from water} = m imes c imes heta extEnergyfromwater=0.0144imes4180imes21.5=1294.08J ext{Energy from water} = 0.0144 imes 4180 imes 21.5 = 1294.08 J

Now, equating this to the energy absorbed by the ice: Qice=extmassoficeimesLQ_{ice} = ext{mass of ice} imes L

Assuming all temperature change is accounted for: L = rac{1294.08 J}{ ext{mass of ice}} = ext{mass of ice} imes L

Further calculations will provide the value of LL.

Step 8

Why could using a very large mass of water lead to a less accurate result in this experiment?

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Using a large mass of water could result in a smaller change in temperature, leading to greater percentage errors in calculating specific heat, which can compromise the overall accuracy of the experiment.

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