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A student uses this apparatus to investigate how the volume of air changes with pressure - Edexcel - GCSE Physics - Question 3 - 2016 - Paper 1

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A student uses this apparatus to investigate how the volume of air changes with pressure. He obtains these results and starts to plot a graph. | Pressure / kPa | V... show full transcript

Worked Solution & Example Answer:A student uses this apparatus to investigate how the volume of air changes with pressure - Edexcel - GCSE Physics - Question 3 - 2016 - Paper 1

Step 1

Transposition

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Answer

To find the new volume, we can start with the equation derived from the ideal gas law: V2=p1V1T2p2T1V_2 = \frac{p_1 V_1 T_2}{p_2 T_1} where:

  • ( V_1 ) is the initial volume,
  • ( T_1 ) is the initial temperature in Kelvin,
  • ( p_1 ) is the initial pressure,
  • ( p_2 ) is the new pressure,
  • ( T_2 ) is the new temperature in Kelvin.

Step 2

Substitution

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Answer

Inserting the values into the equation: V2=98×100×27778×283V_2 = \frac{98 \times 100 \times 277}{78 \times 283} Perform the calculation step-by-step and ensure the pressure and temperature values are converted into the correct units.

Step 3

Evaluation

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Upon evaluating the above expression, the volume results in approximately 123 m³ (or accept 120 m³ by ignoring significant figures).

Step 4

Part iii - Summary of Change

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Answer

B decreases: As the pressure increases, the volume of the trapped air decreases, demonstrating the inverse relationship between pressure and volume according to Boyle's law.

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