Explain why atmospheric pressure varies with altitude?

In short (click here for detailed version)

Atmospheric pressure decreases with altitude because the atmosphere is denser near the earth's surface, where gravity acts more strongly, and becomes rarer as one ascends, resulting in a decrease in pressure.

Explain why atmospheric pressure varies with altitude?
In detail, for those interested!

Definition of atmospheric pressure

Atmospheric pressure is simply the weight exerted by the air present in the atmosphere on a given surface. Just imagine a huge column of air stacked above your head: all that air has weight, and it is this weight that creates a force pushing downwards. This force applied to a specific surface (like the palm of your hand or the roof of a house) is called atmospheric pressure, often measured with a barometer. The higher you go in altitude, the less air there is above you, and therefore the lower the pressure is. Conversely, the closer you get to the ground (i.e., at sea level), the more air is accumulated above you, and the higher the atmospheric pressure increases.

Influence of gravity on atmospheric air

Around our planet, air forms a gaseous envelope held in place by gravitational attraction. Specifically, gravity constantly pulls air molecules downwards, concentrating them near the ground. The higher you go, the weaker this attraction becomes, and particularly, there are fewer air molecules above you pressing down: as a result, the pressure becomes lower with altitude. Essentially, at sea level, you carry the entire mass of air above you on your shoulders; at the top of a mountain, this layer of air is significantly thinner, thus lighter, and you feel this difference in pressure. This is why, at high altitudes, it becomes more difficult to breathe: the air is simply rarer there, as it is less compressed by the direct effect of gravity.

Air density and altitude

The air is made up of molecules, and the higher you go in altitude, the fewer these molecules are in a given volume. Down low, near sea level, they are packed together due to the weight of the layers of air above. As you ascend, atmospheric pressure decreases, so the air molecules spread apart: as a result, the density of the air decreases as you climb. That’s why in the mountains, you sometimes feel like there is less air: each breath contains fewer oxygen molecules than at low altitude.

Effect of temperature on pressure variation

Warm air is less dense than cold air: it expands, becomes lighter, and tends to rise. Consequently, at the same altitude, a column of warm air exerts lower pressure than a column of cold air. In practice, this means that at a constant altitude, when it is warm, atmospheric pressure decreases more slowly with altitude than when it is cold. This is why, at similar altitudes, a warm day often shows a slightly different pressure than a cold day. This pressure difference influenced by temperature is, in fact, what often causes air movements, which are the source of winds and various weather conditions.

Mathematical model of the barometric equation

The barometric equation expresses how atmospheric pressure decreases as altitude increases, based on the fact that the higher you go, the less air there is above your head. This mathematical model relies primarily on gravity, average air temperature, and air density to calculate how pressure drops exponentially as one climbs. Specifically, each time we gain altitude, the pressure decreases more rapidly at first, then gradually less so. This is called exponential decay. This model often uses simplified assumptions, such as considering that temperature is constant over layers of air, to facilitate calculations and provide a fairly reliable estimation. Thus, we obtain a simple, accessible, and quite effective equation, often referred to as the barometric law, widely used in meteorology and aviation to predict what we will feel at altitude or how to adjust certain instruments like altimeters.

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Frequently Asked Questions (FAQ)

1

Is there an altitude where the atmospheric pressure becomes zero?

In theory, pressure gradually decreases as altitude increases and asymptotically approaches zero in the vacuum of space. However, it never perfectly reaches zero because there are always air molecules present, even in infinitesimal quantities, at very high altitudes.

2

Why do airplanes need to pressurize their cabins during high-altitude flights?

Pressurization helps maintain a sufficiently high pressure in the cabin to ensure an adequate supply of oxygen and the comfort of passengers and crew. At high altitudes, the atmospheric pressure is very low, making it otherwise impossible to breathe properly.

3

How does atmospheric pressure affect the human body at high altitude?

As the pressure decreases, the human body receives less oxygen because the density of oxygen-rich air diminishes. This can lead to headaches, discomfort, or breathing difficulties, a phenomenon known as altitude sickness.

4

Does atmospheric pressure vary with the weather?

Yes, weather variations can affect atmospheric pressure. Warm or cold air masses, as well as high or low-pressure fronts, influence the changes in pressure measured at the surface.

5

What instruments are used to measure atmospheric pressure?

The main instrument used is the barometer, which exists in several forms, including the mercury barometer and the aneroid (digital) barometer. They allow for precise measurement of pressure variations based on altitude and climate.

6

Why is atmospheric pressure lower in the mountains than at sea level?

The higher we go in altitude, the less significant the column of air above becomes. This is because the air density decreases with altitude, reducing the weight of the upper atmospheric layers on the lower layers.

Natural Sciences

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