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Gas Pressure (HL IB Physics)

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Calculating Gas Pressure

  • Pressure is defined as

The force applied per unit area

  • For example, when a drawing pin is pushed downwards:
    • It is pushed into the surface, rather than up towards the finger
    • This is because the sharp point is more concentrated (a small area) creating a larger pressure

drawing-pin, IGCSE & GCSE Physics revision notes

When you push a drawing pin, it goes into the surface (rather than your finger)

  • When an object is immersed in a liquid, the liquid will exert pressure, squeezing the object
    • The pressure exerted on objects in fluids creates forces against surfaces
    • These forces act at 90 degrees (at right angles) to the surface

pressure-&-force, IGCSE & GCSE Physics revision notes

The pressure of a fluid on an object creates a force normal (at right angles) to the surface

  • The equation for pressure is:

P space equals space fraction numerator space F over denominator A end fraction

  • Where:
    • P = pressure (Pa)
    • F = force (N)
    • A = cross-sectional area (m2)
  • Pressure is measured in Pascals (Pa)
  • This equation is only relevant when gas molecules exert a force perpendicular to the surface

molecules-&-force, IGCSE & GCSE Physics revision notes

Gas molecules bouncing off the walls of a container

  • It is possible for someone to experience this force by closing their mouth and forcing air into their cheeks
  • The strain on the cheeks is due to the force of the gas particles pushing at right angles to the cheeks
  • This equation means:
    • If a force is spread over a large area it will result in a small pressure
    • If it is spread over a small area it will result in a large pressure

Pressure on different areas, downloadable AS & A Level Physics revision notes

High heels produce a higher pressure on the ground because of their smaller area, compared to flat shoes

Worked example

The diagram below shows the parts of the lifting machine used to move a platform of cross-sectional area 2.73 × 10-2 m2 up and down.

Pressure Worked Example GCSE, downloadable IGCSE & GCSE Physics revision notes

The pump creates pressure in the liquid of 5.28 × 105 Pa to move the platform upwards.

Calculate the force that the liquid applies to the piston.

Answer:

Step 1: List the known quantities

  • Cross-sectional area, A = 2.73 × 10-2 m2
  • Pressure, P = 5.28 × 105 Pa

Step 2: Write down the relevant equation

Pressure Equation

Step 3: Rearrange for the force, F

F = p × A

Step 4: Substitute the values into the equation

F = (5.28 × 105) × (2.73 × 10-2) = 14 414.4

Step 5: Round to the appropriate number of significant figures and quote the correct unit

F = 14 400 N = 14.4 kN (3 s.f)

Exam Tip

Make sure A is always the cross-sectional area of the surface that the force is being applied upon, especially if there are multiple areas given in the question.

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Ashika

Author: Ashika

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.