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1.3.6 The Earth's atmosphere and atmospheric pressure

A simple model of the atmosphere

Definition

Atmosphere

The layer of gases surrounding the Earth, held in place by the Earth's gravity.

  1. The Earth is surrounded by a thin layer of air called the atmosphere, which is held in place by the Earth's gravity.
  2. Air is a mixture of gases, mainly nitrogen and oxygen, and like all matter it has mass.
  3. Compared with the size of the Earth the atmosphere is very thin, because most of the air lies within about 10 km10\ \text{km}10 km of the ground while the Earth's radius is about 6400 km6400\ \text{km}6400 km.
  4. A scientific model simplifies a real system so that its main behaviour can be explained.
  5. In the simple model, the atmosphere is treated as a layer of air with a uniform density, so every cubic metre holds the same mass of air from the ground to the top.
  6. The model also gives the atmosphere a definite top, above which there is no air.
  7. With a uniform density of about 1.2 kg/m31.2\ \text{kg/m}^31.2 kg/m3, the model atmosphere would need to be about 8 km8\ \text{km}8 km deep to produce the pressure measured at sea level.
  8. The real atmosphere gets less dense with height and fades away gradually rather than stopping at a sharp edge, so the uniform model is an approximation.

Atmospheric pressure

Definition

Atmospheric pressure

The pressure exerted on a surface by the air of the atmosphere, caused by the weight of the column of air above that surface.

Definition

Weight

The force acting on an object because of gravity, measured in newtons.

  1. Gravity pulls on the air, so every column of air above the ground has weight.
  2. Picture a column of air standing on 1 m21\ \text{m}^21 m2 of ground and reaching all the way to the top of the atmosphere.
  3. That column has a mass of about 10 000 kg10\,000\ \text{kg}10000 kg, so its weight is about 100 000 N100\,000\ \text{N}100000 N.
  4. This weight pressing down on 1 m21\ \text{m}^21 m2 gives an atmospheric pressure at sea level of about 100 000 Pa100\,000\ \text{Pa}100000 Pa, which is 1.0×105 Pa1.0 \times 10^{5}\ \text{Pa}1.0×105 Pa or 100 kPa100\ \text{kPa}100 kPa.
  5. The same pressure can be described in terms of molecules, because air molecules constantly collide with every surface and each collision exerts a tiny force on it.
  6. The molecules move randomly in all directions, so atmospheric pressure acts in every direction, on the top, the sides and the underneath of objects alike.
  7. You do not feel crushed because the fluids inside your body push outwards with a matching pressure, so the forces on the two sides of your skin balance.

Effects of atmospheric pressure

Definition

Pressure difference

The difference between the pressures on the two sides of a surface, which produces a net force on the surface towards the side at lower pressure.

  1. Atmospheric pressure only has a noticeable effect when there is a pressure difference across a surface.
  2. If the pressure on one side of a surface is lowered, the atmosphere on the other side pushes harder, giving a net force towards the low-pressure side.
  3. A suction cup stays on a smooth tile because pressing it flat pushes most of the air out from underneath, so the atmosphere outside pushes the cup against the tile.
  4. Drinking through a straw works because you lower the pressure inside your mouth, and atmospheric pressure acting on the surface of the drink pushes the liquid up the straw.
  5. When you breathe in, your chest expands and lowers the pressure inside your lungs, so atmospheric pressure pushes air in through your nose and mouth.
  6. In every case the object or liquid is pushed by the higher pressure, because a lower pressure cannot pull.
Practical

The collapsing can

  • Aim: to show the size of the force that atmospheric pressure exerts when the pressure inside a container is lowered.
  • Apparatus: an empty, clean aluminium drinks can, a Bunsen burner, a tripod and gauze, a pair of tongs, a large bowl of cold water with some ice in it, heatproof gloves and eye protection.
  • Method:
    • Pour about 10 cm310\ \text{cm}^310 cm3 of water into the can.
    • Stand the can on the gauze and heat it until the water boils strongly and a steady stream of steam has been leaving the opening for about 303030 seconds.
    • The steam drives most of the air out of the can, so the can is now filled with steam.
    • Grip the can firmly with the tongs and, in one quick movement, turn it upside down and dip its opening just under the surface of the cold water.
    • Watch the can closely from a safe distance.
  • Results: the can is crushed almost instantly, often with a loud crack.
  • Explanation: the cold water cools the steam, which condenses into a few drops of liquid water, leaving very little gas inside the can.
  • Explanation: the pressure inside the can falls far below atmospheric pressure, and the water seals the opening so air cannot rush back in.
  • Explanation: the atmosphere pushes on the outside of the can with a total force of more than 1000 N1000\ \text{N}1000 N, far more than the thin walls can withstand, so the can collapses inwards.
  • Watch out: if the water is not boiled for long enough, too much air stays in the can and it only dents.
  • Safety: wear eye protection, handle the hot can only with tongs and heatproof gloves, and keep your face and hands away from the steam, which scalds.
Common Mistake
  • Do not say the can is "sucked in" by a vacuum, because it is pushed in by the greater atmospheric pressure outside.
  • Do not say there is no pressure on you because you cannot feel it, because it is balanced by the pressure inside your body.
  • Do not say atmospheric pressure acts only downwards, because air molecules collide with surfaces from every direction.
Exam technique

Describing the model and explaining effects

  • When describing the model, give its two key features: a layer of air around the Earth held by gravity, and a uniform density.
  • Link the weight of the air above a surface to the pressure on that surface.
  • For any effect caused by a pressure difference, name the side with the higher pressure and say that it pushes.
  • Avoid "suck" and "suction" as explanations, because they are not given credit.
Self review
  • Describe the simple model of the Earth's atmosphere.
  • Explain what causes atmospheric pressure.
  • State the approximate value of atmospheric pressure at sea level.
  • Explain why a heated can collapses when its opening is dipped into cold water.
  • Explain how atmospheric pressure helps you drink through a straw.
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1.3.6 The Earth's atmosphere and atmospheric pressure Revision Guide

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Revision notes for OCR GCSE Physics 1.3.6 The Earth's atmosphere and atmospheric pressure: explanations and worked examples.

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