Fig. 4.1 shows a long vertical tube, sealed at the base and open at the other end. The tube is 1.0m long. The cross-sectional area of the tube is 4.0 × 10⁻⁴m². It is filled with a liquid of density 1.4 × 10⁴kg/m³. [Figure 4.1] The atmospheric pressure is 1.0 × 10⁵ Pa.
- (a)(i)Calculate: the total pressure in the liquid at the bottom of the tube total pressure = .......................... Pa[3]
- (a)(ii)the force exerted on the inside surface of the bottom of the tube. force = .......................... N[2]
- (b)(i)A small sheet of glass is placed over the open end of the tube. The tube is inverted in a container of the dense liquid. The open end of the tube and the sheet of glass are a short distance below the surface of the liquid. Fig. 4.2 shows the arrangement. [Figure 4.2] The sheet of glass seals the open end of the inverted tube. Describe what happens in the inverted tube when the sheet of glass is removed.[3]
- (b)(ii)This equipment is used to make a measurement that is used to calculate atmospheric pressure. Describe the measurement made and then used in the calculation of atmospheric pressure. You may draw a diagram to help your description.[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 (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [1] P = hρg or 1.0 × 1.4 × 10⁴ × 9.8
- [1] 1.4 x 10⁵ or 1.372 × 10⁵ or 1.0 × 10⁵ + (1.0 × 1.4 × 10⁴ × 9.8) or 1.0 x 10⁵ + 1.4 × 10⁵
- [1] 2.4 × 10⁵ (Pa)
- [1] (F =) pA or 2.4 × 10⁵ × 4.0 × 10⁻⁴
- [1] 95 (N) or 96 (N)
- [1] the liquid falls (in the tube)
- [1] then stops falling or reaches stability
- [1] (original) pressure of liquid at bottom of tube greater than pressure of liquid in basin immediately beneath it or pressure (of liquid in tube) becomes equal to atmospheric pressure / pressure in the container or leaving a vacuum (at the closed end of the tube)
- [1] height of liquid surface (in tube measured)
- [1] measured relative to level of liquid surface in container or hpg (used) to calculate the pressure
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