Fig. 3.1 shows a syringe mounted vertically in a block of wood and sealed at one end. A plunger is free to move inside the syringe. [Figure 3.1] There is trapped air in the syringe. The air inside the syringe exerts a pressure on the walls of the syringe.
- (a)Define the term pressure.[1]
- (b)Explain how the air molecules in the cylinder of the syringe create a pressure.[3]
- (c)(i)A 10 N weight is placed on top of the plunger. The plunger moves down slowly so that the temperature of the air inside the syringe does not change. Before the weight is placed on top of the plunger: • the pressure of the air inside the syringe is 1.0 × 10⁵ Pa • the volume of the air is 50 cm³. The cross-sectional area of the plunger is 1.2 × 10⁻⁴ m². Calculate the pressure of the air in the syringe after the plunger stops moving.[2]
- (c)(ii)Calculate the volume of air inside the syringe after the plunger stops moving.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [1] force divided by area
- [1] (molecules) move (around at random) / have K.E.
- [1] (molecules) hit sides / piston
- [1] (molecules) cause force on piston / sides
- [1] 10 / 1.2 × 10⁻⁴ or 8.3 × 10⁴ (Pa) seen
- [1] 1.8 x 10⁵ Pa
- [1] P1V1 = P2V2 algebraic or numerical in any form or P α 1/V
- [1] 27 or 28 cm³
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