GCSE · Physics · Edexcel · Spec 1PH0

Atmospheric pressure variation with height

A sealed bag of crisps swells up a mountain. An emptied can crushes itself. Nothing touched either one. Same invisible cause, and you're about to climb right through it.

Physics · Atmosphere

Climb through the air

A sketch of the atmosphere, not drawn to scale. Tap each zone, then work out how much air is left above you.

↑ Top of the atmosphere (taken to be about 100 km up)

↓ The ground

Zone 1 of 4

The thin fringe

Up near the top there is almost no air left, so there is almost nothing above you pushing down. And notice there's no clean edge here. The air just thins out and out.

  • Almost no air left
  • Hardly any air above you

Go up and there is less air above you, so the air is thinner and the pressure is lower.

Watch out: The atmosphere has no sharp lid. The air just keeps getting thinner.

Physics · Check your thinking

Why is it lower up there?

You're standing on a mountain top and your friend asks why the air pressure is lower here than at sea level.

Which is closest to what you think right now?
How sure are you?

Physics · How big is the drop?

How much pressure is left?

At sea level atmospheric pressure is about 100 kN/m². Climb to about 9 km, the height of Mount Everest. How much is left?

Your estimate

50 kN/m²

0 kN/m²100 kN/m²

Air against water

Going up through airvsGoing down through water

Same size of pressure change. Very different distance.

Focus

Distance for a pressure change of about 10 000 N/m²

Going up through air

About 1000 m

Going down through water

About 1 m

The insight

A whole kilometre of climbing in air changes the pressure by about as much as about a metre of water.

How dense it is

Going up through air

Air is much less dense

Going down through water

Water is much denser than air

How quickly pressure changes

Going up through air

Much more gradually

Going down through water

Much more quickly

Predict, then check

Air is pumped out of a can. The air outside carries on pressing on it.

A can has had the air pumped out of it, and the air outside is still pressing on it. What happens, and why?

Sealed bags and balloons

?

Reason it through

Why does a sealed bag puff up on the way up a mountain?

Link 1 of 4

First link · your turn

As the bag is carried higher, what happens to the amount of air above it?

2
Locked — reveal the link above first
3
Locked — reveal the link above first
4
Locked — reveal the link above first

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

Climb through the air and count what's left above you.

What you need to know

  • Air has weight, and its molecules hit surfaces. That makes atmospheric pressure, which acts on all objects in the atmosphere.
  • Go higher and atmospheric pressure decreases, because there is less air above you pushing down.
  • Have a goSam insists air weighs nothing, so height can't matter. Sam climbs from the beach to a hilltop. Where is more air pushing down on Sam, and why?

    On the beach, because more air is above Sam there.

    Climbing leaves air below you, so there is less air above pushing down, and that is why atmospheric pressure decreases with height.

  • The air gets thinner and thinner as you rise. There is no exact top, but the atmosphere is taken to reach up to about 100 km.
  • Have a goMarta draws the atmosphere ending at a sharp line 100 km up, like a lid on a jar. What is wrong with her drawing?

    There is no exact upper boundary. The air just keeps thinning.

    The atmosphere is only taken to reach up to about 100 km, where almost no air is left, so a sharp lid is the wrong picture.

  • At sea level, atmospheric pressure is about 100 000 N/m², which is 100 kN/m².
  • Pressure changes far more gradually with height in air than with depth in water, because air is much less dense than water.
  • Atmospheric pressure acting inwards on an object is normally balanced by an equal pressure acting outwards from inside it.
  • Have a goA sealed bottle full of air sits on a shelf with the atmosphere pressing in on it. Why isn't it crushed?

    An equal pressure from the air inside pushes outwards.

    The inward atmospheric pressure is normally balanced by an equal outward pressure from inside, so the two cancel.

  • Take the inside pressure away, say by pumping the air out of a can, and the unbalanced outside pressure can crush it.
  • Carry a sealed bag or helium weather balloon upwards and the outside pressure falls, but the inside pressure doesn't fall as much, so it puffs up or expands.

The big picture

Air has weight, and the air above you pushes on everything beneath it. Climb higher and there is less air above, so atmospheric pressure falls. That one idea explains why a can crushes when its air is pumped out and why a sealed bag puffs up on the way up a mountain.

Key points

1Atmospheric pressure decreases as height increases, because there is less air above pushing down.
2The atmosphere has no exact upper boundary. It is taken to reach up to about 100 km, where almost no air is left.
3Illustrative values: about 100 kN/m² at sea level, about 34 kN/m² at about 9 km (Mount Everest) and about 26 kN/m² at about 10 km (aircraft cruising height).
4Rising about 1000 m through air changes the pressure by about 10 000 N/m². A change that size needs only about 1 m of water, because air is much less dense than water.
5If the inside pressure of an object is removed, the unbalanced outside atmospheric pressure can crush it.
6In a sealed bag or helium weather balloon that rises, the outside pressure falls more than the inside pressure, so it puffs up or expands.

Worked example

Problem

Use the illustrative values to find how much atmospheric pressure falls between sea level and aircraft cruising height (about 10 km), and roughly what fraction of the sea-level pressure is left.

⚠ Watch out

Writing that air has no weight, or that it only pushes downwards. Air has weight, and atmospheric pressure acts on all objects. Pressure falls with height because there is less air above you, not because the air disappears at a sharp edge.

🧠

Memory hook

Pressure is the push of the air stacked above you. Climb, and the stack gets shorter, so the push gets smaller.

✓

Check yourself

Cover the page. In two sentences, explain why pressure is lower on a mountain top. Then say which pressure is greater inside a balloon that has risen.

Flashcards

(11)
What produces atmospheric pressure?
The air in the Earth's atmosphere. Air has weight and its molecules hit surfaces, so the pressure acts on all objects in the atmosphere.
How does atmospheric pressure change as height increases, and why?
It decreases, because there is less air above (less air pushing down) the higher you go.
Where does the atmosphere end?
There is no exact upper boundary. It is taken to reach up to about 100 km above the surface, where there is almost no air left.
How does the air change as you climb?
It gets thinner and thinner with height.
What are the illustrative pressures at sea level and at about 9 km (Mount Everest)?
About 100 kN/m² (100 000 N/m²) at sea level and about 34 kN/m² at about 9 km. These are illustrative values.
Why does pressure change much more gradually with height in air than with depth in water?
Because air is much less dense than water.
Roughly how far do you rise through air for the same pressure change that needs only about 1 m of water?
About 1000 m. Both give a change of about 10 000 N/m².
What normally balances the atmospheric pressure pushing inwards on an object?
An equal pressure acting outwards from inside the object.
Why can a can be crushed when the air inside it is pumped out?
The inside pressure is removed, so the outside pressure is unbalanced and can crush it.
Why does a sealed helium weather balloon expand as it rises?
The outside pressure falls, but the inside pressure does not fall as much, so the greater inside pressure pushes outwards.
True or false: air has no weight.
False. Air has weight, and it pushes downwards. Together with air molecules hitting surfaces, this gives atmospheric pressure.

Tap any card to flip it, or use Study as deck to go through them one at a time. In the full lesson these run as a spaced-repetition deck — you rate each card Hard, Good or Easy and the tricky ones keep coming back until they stick.

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