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Pressure in a Liquid (CIE IGCSE Physics)
Revision Note
Liquid pressure
Factors affecting pressure in a liquid
- The pressure beneath the surface of a liquid will increase with the depth of the liquid
- This is because the pressure in a liquid is caused by the force of the weight of the liquid above it
- As the depth increases, there is increasingly more liquid above which causes the pressure to increase
- Pressure in a liquid also depends on the density of the liquid
- The more dense the liquid, the greater the pressure it exerts
Pressure in a column of water
- In a column of water, the highest pressure would be at the bottom
- If a hole is made at the bottom of the column, the water will pour out with a large force
- If a hole was made at the top of the column, the water will pour out with a small force
- This is because of the difference in pressure in the column caused by the weight of the water
Pressure in a column of water increases with depth, shown by the strong and weak jet of water
- If several holes were made at the same height, the water would spurt out the same distance from each hole
- This is because pressure at the same depth acts equally in all directions
Exam Tip
Remember, a fluid can be either a liquid or a gas. In all fluids, pressure is affected by depth and density. This means that, like in liquids, the pressure within gases also changes with depth and density.
Calculating liquid pressure
Extended tier only
- The pressure acting on an object in a liquid changes with depth
- The deeper the object then the higher the pressure exerted upon it and vice versa
- The equation for the pressure difference, at different depths, in a liquid is given by the equation:
- Where:
- Δp = change in pressure, measured in pascals (Pa)
- Where 1 Pa = 1 N/m2
- ρ = density of the liquid, measured in kilograms per metre cubed (kg/m3)
- g = gravitational field strength on Earth, measured in newtons per kilogram (N/kg)
- Δh = change in height of the column, measured in metres (m)
- Δp = change in pressure, measured in pascals (Pa)
Pressure in a liquid with a density is applied at a depth
The force from the pressure of objects in a liquid is exerted evenly across its whole surface
Worked example
Calculate the depth of water in a swimming pool where a pressure of 20 kPa is exerted. The density of water is 1000 kg/m3 and the gravitational field strength on Earth is 9.8 N/kg.
Answer:
Step 1: List the known quantities
- Pressure,
- Density of water,
- Gravitational field strength,
Step 2: List the relevant equation
Step 3: Rearrange for height, Δh
Step 4: Convert any units
Step 5: Substitute in the values
Exam Tip
You need to be able to recall the equation for the change in pressure and make sure you are comfortable rearranging it for the variable required in the question!
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