Composition of clean, dry air

Key idea: Clean, dry air is about 78% nitrogen and 21% oxygen, with most of the remainder argon. Water vapour is left out so gas percentages can be compared on the same basis.

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Air is a mixture: each gas in it keeps its own properties, and the amounts can change without any reaction. This lesson gives the composition of clean, dry air and shows how to read and compare the values in a composition table.

What clean, dry air contains

The composition of air is given as a percentage by volume. In 100 cm³ of clean, dry air, about 78 cm³ is nitrogen and about 21 cm³ is oxygen. Compare gas volumes at the same temperature and pressure.

GasFormulaApproximate percentage by volume
nitrogenN₂78%
oxygenO₂21%
argon (the main noble gas)Ar0.9%
carbon dioxideCO₂0.04%
other noble gases, such as neon and helium—traces
Composition of clean, dry airBar chart of the approximate percentage by volume of nitrogen, oxygen, argon and carbon dioxide in clean, dry air. A data table follows the chart.Composition of clean, dry airGasPercentage by volume (%)
Nitrogen and oxygen are the two main gases. The argon bar is small and the carbon dioxide bar is too small to see; the table gives their values.
Data table
GasClean, dry air
Nitrogen78
Oxygen21
Argon0.9
Carbon dioxide0.04

These values are approximate. They are rounded, so they need not add up to exactly 100%.

Why “dry” air?

Air also contains water vapour, but its amount changes with the weather, the place and the temperature. It can be almost none in a cold, dry place and a few per cent in hot, humid air. Leaving water vapour out lets us compare the other gases on the same basis. Their major proportions are fairly stable in well-mixed outdoor air, but dry air is not an exact, unchanging recipe: carbon dioxide, for example, varies with place and time.

Dry air is a stated condition

“Dry air” does not mean that ordinary outdoor air has no water vapour. It means the water vapour has been removed, or left out of the calculation, before the other gases are compared.

Worked example 1

Compare the gases in a dry-air record

Problem

A dry-air record gives nitrogen 78.1%, oxygen 20.9%, argon 0.9% and carbon dioxide 0.04%. Compare nitrogen with oxygen, and state what the small remainder contains.

Show solution step by step
  1. Compare the two main gases

    Method

    Divide the nitrogen value by the oxygen value.

    Reason

    A ratio turns “more” into “how many times more”.

    Working

    Answer

    78.1 ÷ 20.9 ≈ 3.7, so there is almost four times as much nitrogen as oxygen by volume.

  2. Account for the remainder

    Method

    Add the two main gases and subtract from 100%.

    Reason

    The table lists the smaller gases separately, so the remainder is not a single gas.

    Working

    Answer

    78.1% + 20.9% = 99.0%; 100% − 99.0% = 1.0%. This remainder is mostly argon, with carbon dioxide and traces of other gases. The listed 0.9% and 0.04% do not fill it exactly because the values are rounded; do not treat the difference as a measured amount of an unidentified gas.

  3. Answer

    Working

    Answer

    Nitrogen is the main gas, almost four times as abundant as oxygen. The remainder is mostly argon, with a little carbon dioxide and other noble gases.

Guided practice 2

Find the oxygen in a sample of air

About 5 min

Problem

A syringe holds 200 cm³ of clean, dry air. Use the composition of dry air to find the volumes of oxygen and nitrogen in it, to the nearest cm³.

Use the percentages by volume

Unit: cm³
Unit: cm³

Hints

Hint 1

percentage

21% means 21 cm³ in every 100 cm³.

Hint 2

scale up

The sample is twice 100 cm³.

Show solution step by step
  1. Oxygen

    Method

    Multiply the sample volume by the percentage of oxygen.

    Reason

    Percentage by volume is the fraction of the total volume.

    Working

    Answer

    21/100 × 200 cm³ = 42 cm³

  2. Nitrogen

    Working

    Answer

    78/100 × 200 cm³ = 156 cm³. Check: 42 + 156 = 198 cm³; the other 2 cm³ is mostly argon.

Check your understanding 1 Identify the remainder before correcting the claim

Use the dry-air table: which gas makes up most of the small remainder, and what approximate percentage of the whole sample is carbon dioxide?

Main gas in the remainder
Unit: %

Show answer

The remainder is mostly argon. Carbon dioxide is about 0.04% of the whole dry sample; subtracting nitrogen and oxygen does not identify the remainder as one gas.

Spot the mistake 3

“The last 1% of air is carbon dioxide”

About 4 min

Learner claim

A learner writes: “Air is 78% nitrogen and 21% oxygen, so the other 1% is carbon dioxide.” Find the error and correct it on paper or in the optional notes, then compare your complete statement.

Correct the statement

Show solution step by step
  1. Find the error

    Method

    Compare the claim with the data table.

    Reason

    Subtracting from 100% gives the size of the remainder, not what it is made of.

    Working

    Answer

    Carbon dioxide is about 0.04%, not 1%.
  2. Correct it

    Working

    Answer

    The remaining 1% is mostly noble gases, mainly argon (about 0.9%). Carbon dioxide is only about 0.04%.

Check your understanding 2 Air over heated copper

100 cm³ of dry air is passed over heated copper, which removes all the oxygen. The remaining gas is measured at the original temperature and pressure. What volume remains, which gas is its main constituent, and is the remaining gas pure nitrogen?

Unit: cm³
Main remaining gas
Is the remainder pure nitrogen?

Show answer

Oxygen accounts for about 21 cm³, so about 100-21 = 79 cm³ remains. It is mainly nitrogen, with noble gases and a little carbon dioxide. It is not pure nitrogen; removing oxygen leaves the other gases too.

Check your understanding 3 Calculate the total before interpreting it

A dry-air table gives oxygen 20.9%, nitrogen 78.1%, argon 0.93% and carbon dioxide 0.04%. Find their total and the gap from 100%, to 2 decimal places. Use the listed numbers without further rounding.

Unit: %
Show the steps Optional working
Unit: %
Unit: percentage points

Show answer

The total is 99.97%; the gap is 0.03 percentage points. This subtraction alone does not measure an exact amount of unidentified gas. Explain the data limitations in the next activity.

Check your understanding 4 Why the total is not exactly 100%

A dried-air table gives oxygen 20.9%, nitrogen 78.1%, argon 0.93% and carbon dioxide 0.04%. Find the total and explain why the difference from 100% does not measure an exact amount of missing gas.

Work on paper or in the optional notes. Compare rounding, unlisted trace gases and what the small gap cannot measure.

Show answer

The total is 20.9 + 78.1 + 0.93 + 0.04 = 99.97%. The values are rounded, and trace gases are unlisted. Both affect the small difference of 0.03 percentage points, so it cannot be assigned exactly to an unidentified gas.

Check your understanding 5 Identify what changed in the comparison

P dries air from a park; Q measures humid air from the same park and reports a lower nitrogen percentage. Choose which reading has the dry-air basis and what Q includes in its total.

Reading comparable with the dry-air table
Extra gas included in Q’s total

Show answer

P has the dry-air basis. Q includes water vapour in its total, so its nitrogen percentage has a different denominator. Explain the lower percentage without inventing a reaction in the next activity.

Check your understanding 6 Humid air gives a lower nitrogen reading

Two instruments sample the same park. Instrument P dries the air first; instrument Q measures humid air directly. Q reports a lower percentage of nitrogen than P. Explain why this does not mean that some nitrogen has reacted or disappeared.

Work on paper or in the optional notes. Compare the total volume used as the denominator and the presence of water vapour.

Show answer

Q’s sample includes water vapour, so its total volume contains an extra gas. Nitrogen’s share is calculated against a total that includes water, so its percentage is lower than on a dry-air basis. No nitrogen has reacted: the change comes from what is included in the total. Only P’s result should be compared with the dry-air values.

Common mistakes

  • Swapping the values: air is about 78% nitrogen and 21% oxygen, not the other way round.
  • Calling air a compound. It is a mixture.
  • Including water vapour when a question asks about dry air.
  • Treating rounded values as exact.

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