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The LibraryODERSA publishing house
An ODERSA resource · Knowledge programmeA book only goes online once it is whole and read by someone else.

Chapter 3 of 17 · Water and the Weather

Chapter 2. Water vapour in the air

How much water the air can hold, why that depends on its temperature, and under exactly what condition this water becomes visible again.

A sponge whose size changes

A glass of ice cubes set on a table covers itself in drops within a few minutes. The previous chapter showed where that water came from: from the air of the room. But a question remains, and it is the right one: why do the drops appear on the cold glass, and not on the table, nor on the wall, nor on the hand of the person watching?

The answer lies in a property of air that this chapter installs, and on which everything else in the volume depends. A volume of air cannot hold just any quantity of water vapour. It has a limit, and that limit changes with temperature: the warmer the air, the more it can hold. Météo-France puts it in one sentence: "In practice, the warmer the air, the more water vapour it can hold."

An image helps, provided one knows where it stops: air behaves like a sponge whose size depends on temperature. Warm it and it grows and takes up more. Cool it and it shrinks, and what it can no longer hold comes out. It is that last move that makes dew, fog, mist on glass and clouds. The image stops there: air does not absorb water the way a sponge absorbs, the vapour simply mixes with the other gases. But the limit that changes with temperature is exact.

The objectives of this chapter

Each one is observable. By the end of the chapter, either you do it, or you know which section to read again.

  • State what relative humidity measures, and say what 0 % and 100 % mean.
  • Explain, in one sentence, why warm air can hold more water vapour than cold air.
  • Name the exact condition that triggers a condensation.
  • Tell dew, hoar frost and fog apart by saying, for each, what has cooled.
  • Predict whether mist will appear on a given object, and justify the prediction.

What this chapter assumes is already known

A single prerequisite, and it is installed by the previous chapter of this volume: the three states of water, the fact that water vapour is invisible, and the name of the passage from the gaseous state to the liquid state.

What there is in the air, and in what proportion

Before speaking of water vapour, one has to know what it keeps company with. According to Météo-France, the atmosphere contains 78 % nitrogen and 21 % oxygen. Those two gases therefore take up almost all of the air on their own, and their proportion hardly moves from one place to another. One detail of reading avoids a false addition here: those two percentages apply to air stripped of its water vapour. The vapour is added to it and pushes the rest aside accordingly; that is why adding 78, 21 and the share of vapour comes to more than a hundred and means nothing.

Water vapour, for its part, takes up a modest and highly variable place: between 0.1 % and about 5 % of the surrounding air, again according to Météo-France. Remember the two words in that sentence: modest and variable. Modest, because water vapour is a minor component of the air. Variable, because it is the only component of the air whose proportion changes from one day to the next, from one region to another, and even from one hour to the next.

That variability is what makes weather possible. Air whose composition never changed would have neither clouds, nor rain, nor fog. It is because water vapour is constantly entering and leaving the atmosphere, by evaporation and by condensation, that there is such a thing as the weather.

Saturation, and what a humidity percentage really measures

When a volume of air holds all the water vapour it can hold at its temperature, it is said to be saturated. Add more, or cool it, and the excess can no longer remain in the gaseous state: it condenses.

Relative humidity measures the distance to that saturation. Météo-France defines it as "the ratio between the quantity of water vapour contained in the air and the maximum quantity possible, expressed as a percentage". At 100 % relative humidity, the air is saturated. At 0 %, it would be perfectly dry, which never happens in nature: in mainland France, humidity very rarely drops below 20 %.

The word relative is the one that misleads, and it is worth pausing on. A humidity of 80 % does not say how much water there is in the air: it says that the air holds 80 % of what it could hold at its temperature. Now that maximum changes with temperature. Air at 80 % on a winter morning at five degrees therefore holds far less water than air at 80 % on a summer afternoon at thirty degrees, even though the figure shown is the same. Twice the same percentage, two very different quantities of water.

That is why winter air, which often shows high humidities, dries out lips and hands once it has come into a heated house: by warming it, one raises its maximum capacity without adding any water to it, and so its relative humidity falls.

The words to remember

Four words, and they are enough to describe every scene in this chapter.

Saturation
The state of air that holds all the water vapour it can hold at its temperature. Saturated air can take up nothing more: any addition, or any cooling, brings on a condensation.
Relative humidity
The ratio between the quantity of water vapour contained in the air and the maximum quantity possible, expressed as a percentage. It is read on a hygrometer and appears in every weather forecast.
The dew point
The temperature to which a body of air must be cooled, without adding anything to it or taking anything away, for it to reach saturation. Cooled below it, the air releases liquid water. The more humid the air, the closer its dew point is to its present temperature.
The condensation nucleus
The tiny particle suspended in the air, dust, sea salt, pollen or soot, on which a droplet forms. Without a surface to cling to, water vapour condenses very poorly, even in saturated air.

The single condition that triggers a condensation

This whole chapter comes down to a single condition, and it holds as well for a glass of lemonade as for a cloud several kilometres across: there is condensation when the air reaches its dew point temperature, that is to say when it is cooled to saturation.

There are therefore only two ways of obtaining condensation. The first is to add water vapour to air that is already close to its limit. The second, by far the more frequent in nature, is to cool the air without adding anything to it. Cooled air sees its maximum capacity fall; at some point that capacity drops below what the air is already carrying, and the surplus falls out in the liquid state.

Take up the glass of ice cubes again. The glass itself manufactures nothing: it cools the thin layer of air touching it. That layer of air, cooled below its dew point, can no longer keep all of its vapour, and the surplus settles on the nearest surface, which is the wall of the glass. The table and the wall, for their part, are at room temperature: they cool no air, so nothing settles on them. The question asked at the opening is answered.

It remains to be seen what cools a surface when nobody is cooling it. The answer lies in an observation everyone has made: a clear night is colder than a cloudy one. An object left outdoors constantly loses heat towards the sky; when the sky is clear, nothing sends that heat back to it, and it falls well below the temperature of the air. When a screen covers it, a cloud, a tree, a canopy, a garden table, that screen sends back part of what it loses, and it stays warmer. It is that simple sharing which explains why dew settles on grass in the open and not on sheltered grass.

Note the word that has done the work: cool. Remember it. The chapters that follow will do nothing but decline it: cooling grass during the night gives dew, cooling all the air of a valley gives fog, cooling air by making it rise gives a cloud.

Three scenes, the same mechanism and one detail that changes

What is identical in all three

  • Air holding invisible water vapour.
  • A cooling that brings that air to its dew point.
  • A passage from the gaseous state to a visible state.
  • No water created: the water was already there, in a form that could not be seen.

What changes from one scene to another

  • Dew: it is the GROUND and the plants that cool during the night, and the water settles on them in drops.
  • Hoar frost: the same scene, but the surface has gone below zero degrees, and the water settles directly in the solid state.
  • Fog: it is not a surface that cools, it is a WHOLE layer of air, and the droplets stay in suspension inside it.
  • Mist on a window: the cold surface is made by the difference between two rooms, or between indoors and outdoors.

Fog, or a cloud touching the ground

Fog deserves a section of its own because it makes the bridge to the next chapter. Météo-France defines it as "the suspension in the atmosphere of very small water droplets reducing visibility at ground level to less than one kilometre", and adds a sentence that is worth a whole lesson: "fog is in fact a cloud whose base touches the ground".

In other words, there are not fogs on one side and clouds on the other: there is a single object, and the only difference is the height of its base. To walk in fog is to walk in a cloud. A walker climbing towards a layer of low cloud goes through the same thing without changing its name, and the next chapter will give that layer its exact name.

The one-kilometre visibility threshold is not a convenience of language: it is a measurement convention, which lets every station in the world code the same situation in the same way. Below it, one speaks of fog; above it, of mist. A shared figure makes observations comparable, and the chapter on measurement will come back to this.

The trap of this chapter: believing that warm air is necessarily dry and cold air necessarily humid. In quantity of water it is the other way round. Warm air CAN hold a great deal of vapour, and tropical air at thirty degrees carries an enormous amount of it; polar air at minus twenty degrees carries very little, even at 100 % relative humidity. The percentage shown never compares two bodies of air with each other: it compares each body of air with its own limit of the moment. To compare two bodies of air, it is the dew point that must be looked at, not the relative humidity.

Worked example. Predicting where the mist will form

Question: "On a winter morning, in a heated kitchen where someone has just cooked pasta, mist appears on the window but not on the wall opposite, nor on the cupboard door." Explain this distribution. Fully guided example.

  1. Identify the source of vapour
    Cooking the pasta boiled water, and therefore sent a great deal of water vapour into the room. The air of the kitchen has become heavily loaded: it is now close to its limit, if not at its limit.
  2. Look for the cold surfaces
    Condensation calls for a cooling. One must therefore look, in the room, for whatever is clearly colder than the surrounding air. On a winter morning, the window is in direct contact with the outdoors: it is the coldest surface in the room.
  3. Compare with the other surfaces
    The wall opposite is an internal wall: it is at room temperature. So is the cupboard door. Neither one cools the air touching it, so neither one brings that air to its dew point.
  4. Apply the single condition
    Only the air in contact with the pane is cooled below its dew point. The surplus of vapour it can no longer keep settles on the surface available, that is to say on the pane itself.
  5. The result
    The mist forms on the window because it is the only surface cold enough to bring the air to saturation. It does not form elsewhere because elsewhere the air stays above its dew point. A check that confirms this: the mist appears first in the corners and at the bottom of the pane, which are the coldest parts of the glazing.

Experiment 3. Making fog in a jar

What you need: a wide-mouthed glass jar, hot water from the tap, ice cubes, a small plate. No fire, no matches, no chemicals. SAFETY: this experiment is carried out with an adult's agreement, and the adult is present. It is the ADULT who takes the hot water from the tap and pours it into the jar; hot water and hot glass are not handled by a child. A hot jar is set on a trivet, never on a cold surface, and never at the edge of a table.

  1. Warm the jar in two stages
    Glass cracks when it changes temperature too quickly, and a cold jar filled at once with very hot water can split. The adult therefore proceeds in two stages: first a little LUKEWARM water, swirled round and poured away, then only after that the hot water from the tap, about two fingers deep, poured in slowly. This gradual warming protects the glass and at the same time prevents a cold jar from condensing straight away, which would hide the result.
  2. Load the air of the jar with vapour
    Leave it to stand for a minute without doing anything. The hot water evaporates and fills the air of the jar with invisible water vapour. At this stage the inside of the jar is perfectly transparent: that is the proof that water vapour cannot be seen.
  3. Put the cold on top
    Set the small plate on the mouth of the jar, and put two or three ice cubes on it. The plate becomes cold and cools the layer of air just below it, inside the jar.
  4. Watch
    Within a few seconds, a white veil appears in the top of the jar, then comes down and fills the whole jar. You have just made fog, that is to say a cloud.
  5. Name what has happened
    The air of the jar was loaded with water vapour. Cooling from above brought it to its dew point. The surplus condensed into tiny droplets which stay in suspension: that is exactly the definition of fog given above.
  6. The control run, which is worth as much as the experiment itself
    Do the same thing again without ice cubes on the plate. Nothing appears, or almost nothing. This shows that it is not the vapour on its own that makes the white veil: it is the COOLING of that vapour. An experiment without a control run never shows which of the ingredients was responsible.

What to remember from this chapter

  • Air always holds water vapour, between 0.1 % and about 5 % of its volume, alongside 78 % nitrogen and 21 % oxygen.
  • A body of air can hold only a certain quantity of vapour, and that limit rises with temperature.
  • Relative humidity compares what the air holds with what it could hold, as a percentage. It never compares two bodies of air with each other.
  • The dew point is the temperature at which a given body of air reaches saturation.
  • There is condensation when air is cooled to its dew point. That is the single condition, and it explains mist on glass, dew, hoar frost, fog and clouds.
  • Fog is a cloud whose base touches the ground: visibility at ground level then falls below one kilometre.

Self-check for chapter 2

Answer in writing, using only the knowledge given by this volume so far. The answers are gathered at the end of the volume.

  1. The forecast announces 90 % relative humidity on a winter morning at three degrees, and 55 % on a summer afternoon at thirty degrees. Which of the two bodies of air carries the more water? Explain what the percentage really compares.
  2. State in a single sentence the condition that triggers a condensation, then apply it to the mist of a breath in winter.
  3. Dew has settled on the grass of a garden during the night, but not under the garden table. Put forward an explanation that calls on nothing but this chapter.
  4. In the jar experiment, what exactly is the control run without ice cubes for? What would be shown without it, and what would not?
  5. One body of air at fifteen degrees has a dew point of fourteen degrees. Another body of air, also at fifteen degrees, has a dew point of two degrees. Which will give fog more readily during the night, and why?