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Figure 4 shows a small piece of copper about 3 cm high - Edexcel - GCSE Physics - Question 2 - 2020 - Paper 1

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Figure 4 shows a small piece of copper about 3 cm high. A student wants to determine the density of copper. The student uses a balance to measure the mass of the p... show full transcript

Worked Solution & Example Answer:Figure 4 shows a small piece of copper about 3 cm high - Edexcel - GCSE Physics - Question 2 - 2020 - Paper 1

Step 1

Explain how the student could measure the volume of the piece of copper.

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Answer

The student can measure the volume of the piece of copper using a method called water displacement. First, the student will fill a graduated cylinder or overflow can with a known quantity of water. Then, by carefully submerging the piece of copper in the water, the student will observe the rise in water level. The increase in the water level indicates the volume of the copper piece. This volume can be calculated by subtracting the initial water level from the final water level.

Step 2

Calculate the density of copper.

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Answer

To calculate the density of copper, use the formula:

extdensity=massvolume ext{density} = \frac{\text{mass}}{\text{volume}}

Substituting the given values:

density=0.058 kg6.5×106 m3\text{density} = \frac{0.058 \text{ kg}}{6.5 \times 10^{-6} \text{ m}^3}

After calculating, the density of copper is approximately 8.9 \times 10^3 \text{ kg/m}^3.

Step 3

Calculate a value for the specific heat capacity of copper, using these results.

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Answer

To calculate the specific heat capacity of copper, we can rearrange the equation:

ΔQ=m×c×Δθ\Delta Q = m \times c \times \Delta \theta

Rearranging gives us:

c=ΔQm×Δθc = \frac{\Delta Q}{m \times \Delta \theta}

Substituting the known values:

  • Thermal energy gained by the water, (\Delta Q = 1050 , \text{J})
  • Mass of copper, (m = 0.058 , \text{kg})
  • Change in temperature, (\Delta \theta = 100 \text{°C} - 22 \text{°C} = 78 \text{°C})

Now plug the values into the equation:

c=10500.058×78c = \frac{1050}{0.058 \times 78}

Calculating this gives a specific heat capacity of approximately 230 , \text{J/kg °C}.

Step 4

State two ways that the experiment could be improved to give a value that is closer to the correct value.

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Answer

  1. Reduce heat loss from water: The student could insulate the beaker or cover it to minimize heat loss to the environment during the experiment.
  2. Use more accurate measuring equipment: The experiment could be improved by using more precise thermometers or balances to ensure more accurate temperature and mass measurements.

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