• Pixel-art sticker of Daltonix, personifying Dalton's Law of Partial Pressures, with the caption “Every Gas Pushes Its Share.”

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Daltonix

Dalton's Law of Partial Pressures Physics

\[p = p_1 + p_2 + p_3\]
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Meet Daltonix, a jar of mixed gases where every gas pushes its own share. Dalton found in 1801 that total pressure is the sum of the partial pressures. In air at 101.3 kPa, oxygen supplies about 21 kPa and nitrogen about 79 kPa. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

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Flat $6 shipping on every order, worldwide, whatever's in it.

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Returns & replacements21 days

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The physics

Meet Daltonix, a jar of mixed gases where every gas pushes its own share.

In a mixture of gases that do not react, each gas behaves as if it had the whole container to itself. The pressure it would make alone is its partial pressure. John Dalton found in 1801 that the total pressure is simply the sum of the partial pressures, p = p₁ + p₂ + p₃.

Air at sea level has a total pressure of about 101.3 kPa. Oxygen makes up about 21% of the molecules, so its partial pressure is about 0.21 × 101.3 ≈ 21 kPa. Nitrogen, at about 78%, supplies about 79 kPa, and the other gases supply the rest.

Partial pressure is what matters for breathing. High on a mountain the total pressure falls, so the oxygen partial pressure falls with it, even though oxygen is still 21% of the air.

Divers also plan their gas mixtures using partial pressures, because too much or too little of a gas can be harmful.

Equations

\[p = p_1 + p_2 + p_3\]
Symbols
SymbolMeaningUnit
\(p\) total pressure \(\mathrm{Pa}\)
\(p_1\) partial pressure of gas 1 \(\mathrm{Pa}\)
\(p_2\) partial pressure of gas 2 \(\mathrm{Pa}\)
\(p_3\) partial pressure of gas 3 \(\mathrm{Pa}\)