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1 (a) Figure 1 shows air inside a cylinder with a movable piston - Edexcel - GCSE Physics - Question 1 - 2018 - Paper 1

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1 (a) Figure 1 shows air inside a cylinder with a movable piston. The piston is pulled a little way in the direction of the arrow, but stays inside the cylinder... show full transcript

Worked Solution & Example Answer:1 (a) Figure 1 shows air inside a cylinder with a movable piston - Edexcel - GCSE Physics - Question 1 - 2018 - Paper 1

Step 1

Which of these increases?

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Answer

The correct answer is D: The pressure of the air inside the cylinder.

When the piston is pulled, the volume of air decreases, leading to an increase in pressure according to Boyle's Law, which states that pressure inversely relates to volume at constant temperature.

Step 2

State the angle that this outward force makes with the wall of the tube.

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Answer

The angle that the outward force makes with the wall of the tube is 90 degrees. This is because pressure acts perpendicular to the surface of the walls.

Step 3

Calculate the volume of air inside the tube.

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Answer

To calculate the volume of air inside the tube, we can use the formula for pressure and volume relationship:

P1imesV1=P2imesV2P_1 imes V_1 = P_2 imes V_2

Let:

  • P1=100000 PaP_1 = 100000 \text{ Pa} (atmospheric pressure)
  • V1=?V_1 = ? (volume of air inside the tube)
  • P2=400000 PaP_2 = 400000 \text{ Pa}
  • V2=4.8 litres=4.8 dm3V_2 = 4.8 \text{ litres} = 4.8 \text{ dm}^3 (since 1 litre = 1 dm³)

Substituting the given values:

100000×V1=400000×4.8100000 \times V_1 = 400000 \times 4.8

Rearranging gives:

V1=400000×4.8100000=1.2 litresV_1 = \frac{400000 \times 4.8}{100000} = 1.2 \text{ litres}

Step 4

Explain why the air in the bicycle pump gets warm.

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Answer

The air in the bicycle pump gets warm due to the work done on the air during compression. When the air is compressed, the kinetic energy of the air particles increases, which raises the thermal energy of the system. This process involves converting work into heat. Mathematically, we can express work as:

W=F×dW = F \times d

where WW is work done, FF is the force applied, and dd is the distance over which the force is applied. Since the air is compressed, the energy increases, leading to an increase in temperature.

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