Glossary · Physiology

Dalton's Law

Dalton's Law of Partial Pressures posits that the total pressure exerted by a mixture of ideal gases is the sum of the partial pressures of each individual gas within that mixture. For instance, at 1 atmosphere absolute (ATA) [14.7 pounds per square inch absolute (PSIA)] of air, which is approximately 21% oxygen and 79% nitrogen, the partial pressure of oxygen (PO2) is 0.21 ATA (3.09 PSIA) and the partial pressure of nitrogen (PN2) is 0.79 ATA (11.61 PSIA). This principle is foundational to understanding gas behaviour in scuba diving, directly impacting how divers manage gas toxicity and decompression.

First formulated by English chemist John Dalton in 1801, this law applies to any gas mixture, from the air we breathe at the surface to the compressed air or enriched air nitrox (EANx) in a diver's cylinder. As a diver descends, the ambient pressure increases, and consequently, the partial pressures of the gases breathed also increase proportionally. This change profoundly influences how gases like oxygen and nitrogen interact with the diver's body.

For liveaboard divers, a clear understanding of Dalton's Law is paramount, especially when planning multi-day, multi-dive itineraries. It underpins safe diving practices, such as calculating maximum operating depths (MODs) for nitrox and managing nitrogen narcosis and oxygen toxicity risks, ensuring a safer and more enjoyable dive safari experience.

1At a glance

Law Formulated By
John Dalton (1801)
Atmospheric Oxygen (Sea Level)
21% (approx.)
Atmospheric Nitrogen (Sea Level)
79% (approx.)
Partial Pressure of Oxygen (PO2) at 1 ATA
0.21 ATA (3.09 PSIA)
Partial Pressure of Nitrogen (PN2) at 1 ATA
0.79 ATA (11.61 PSIA)
PO2 Limit (Recreational Diving, typically)
1.4 ATA (20.6 PSIA)
Max PO2 Limit (Technical Diving, typically)
1.6 ATA (23.5 PSIA)
Air Density at 30 m (100 ft)
4 times surface density

2Understanding Partial Pressure and Depth

When you descend underwater, the ambient pressure increases by 1 atmosphere absolute (ATA) [14.7 pounds per square inch absolute (PSIA)] for every 10 metres (33 feet) of seawater. According to Dalton's Law, as the total pressure increases, so does the partial pressure of each gas in your breathing mixture. For example, if you are breathing air (21% oxygen, 79% nitrogen) at 20 metres (66 feet), where the total pressure is 3 ATA (44.1 PSIA), the partial pressure of oxygen (PO2) becomes 0.21 x 3 ATA = 0.63 ATA (9.26 PSIA). Similarly, the partial pressure of nitrogen (PN2) becomes 0.79 x 3 ATA = 2.37 ATA (34.84 PSIA).

This proportional increase in partial pressures is critical because the effects of gases on your body – such as nitrogen narcosis and oxygen toxicity – are directly related to their partial pressures, not just their percentage in the mix. Deeper dives mean higher partial pressures, which can lead to more pronounced physiological effects, necessitating careful dive planning and gas management to mitigate risks.

3Partial Pressures at Different Depths with Air (21% O2, 79% N2)

Depth (m/ft)Absolute Pressure (ATA/PSIA)PO2 (ATA/PSIA)PN2 (ATA/PSIA)Liveaboard Relevance
Surface / 0 ft1 ATA / 14.7 PSIA0.21 ATA / 3.09 PSIA0.79 ATA / 11.61 PSIAPre-dive gas analysis
10 m / 33 ft2 ATA / 29.4 PSIA0.42 ATA / 6.18 PSIA1.58 ATA / 23.22 PSIACommon recreational depth, low risk
20 m / 66 ft3 ATA / 44.1 PSIA0.63 ATA / 9.26 PSIA2.37 ATA / 34.84 PSIANitrogen narcosis may begin for some
30 m / 100 ft4 ATA / 58.8 PSIA0.84 ATA / 12.35 PSIA3.16 ATA / 46.45 PSIANitrogen narcosis pronounced, increased DCS risk
40 m / 132 ft5 ATA / 73.5 PSIA1.05 ATA / 15.44 PSIA3.95 ATA / 58.06 PSIARecreational depth limit (usually), high narcosis

4Impact on Oxygen and Nitrogen

Oxygen toxicity, a significant concern for divers, occurs when the partial pressure of oxygen (PO2) becomes too high. Recreational diving typically mandates a maximum PO2 of 1.4 ATA (20.6 PSIA), although technical divers might briefly use up to 1.6 ATA (23.5 PSIA) for decompression stops. Exceeding these limits can lead to central nervous system (CNS) oxygen toxicity, causing symptoms like visual disturbances, twitching, irritability, dizziness, and ultimately convulsions, which can be fatal underwater.

Nitrogen narcosis, often called 'rapture of the deep', is another direct consequence of increasing nitrogen partial pressure. While not toxic in the same way as oxygen, high PN2 impairs cognitive function, similar to alcohol intoxication. The severity of narcosis is directly proportional to the PN2; the deeper you go, the higher the PN2, and the more impaired your judgment and motor skills become. Understanding these partial pressure effects allows divers to choose appropriate breathing gases and manage their depth limits safely.

5Dalton's Law and Liveaboard Diving

Liveaboard diving often involves multiple dives per day over several days, making a solid understanding of Dalton's Law essential for safety and planning. Many liveaboards offer enriched air nitrox (EANx), which has a higher oxygen percentage and thus a lower nitrogen percentage than air. Divers using nitrox need to calculate their Maximum Operating Depth (MOD) based on the nitrox blend and the maximum allowable PO2 (e.g., 1.4 ATA or 1.6 ATA).

Ignoring Dalton's Law can lead to serious consequences, such as exceeding the MOD for your nitrox mix, risking oxygen toxicity, or not properly accounting for nitrogen loading during repetitive dives, which increases decompression sickness risk. Liveaboard dive guides are skilled in gas management and safety protocols, but as a diver, knowing these principles empowers you to make informed decisions and ensure a safer, more enjoyable experience on your multi-day dive adventure.

6Common misconceptions

Myth: Oxygen toxicity only happens at extreme depths. Fact: Oxygen toxicity is determined by the partial pressure of oxygen (PO2), not just depth. Using an enriched air nitrox (EANx) blend with too high an oxygen percentage at even moderate depths can lead to a dangerously high PO2. For example, EANx36 (36% oxygen) at 20 m (66 ft) results in a PO2 of 1.08 ATA (15.87 PSIA), but at 30 m (100 ft), it's 1.44 ATA (21.17 PSIA), exceeding the common recreational limit of 1.4 ATA. Always calculate your Maximum Operating Depth (MOD) for your gas blend.

Myth: The percentage of gas in your cylinder is all that matters. Fact: While the percentage is important for blending, Dalton's Law highlights that it's the partial pressure of a gas that dictates its physiological effect on the body. A fixed percentage of oxygen, like 21% in air, will have a PO2 of 0.21 ATA (3.09 PSIA) at the surface but 0.84 ATA (12.35 PSIA) at 30 m (100 ft) – the same gas, but vastly different effects due to increased pressure.

Myth: Nitrogen narcosis is just 'being a bit tipsy'. Fact: While often compared to alcohol intoxication, nitrogen narcosis can severely impair judgment, decision-making, and motor skills, making complex tasks underwater dangerous. It's not just 'fun'; it's a significant safety risk that can lead to poor choices, disorientation, and panic. Divers must be aware of their personal susceptibility and depth limits.

FAQ

What is Dalton's Law in simple terms for diving?

Dalton's Law states that the total pressure of your breathing gas underwater is the sum of the pressures of each individual gas in that mix. As you go deeper, the total pressure increases, so the pressure of each gas (like oxygen or nitrogen) also increases proportionally.

Why is Dalton's Law important for scuba divers?

It's crucial because the physiological effects of gases, such as nitrogen narcosis and oxygen toxicity, are directly related to their partial pressures. Understanding this helps divers plan their depths, choose appropriate gas mixes, and avoid dangerous conditions.

How does Dalton's Law affect using Nitrox on a liveaboard?

When using Nitrox, you have a higher oxygen percentage. Dalton's Law helps you calculate your Maximum Operating Depth (MOD) to ensure the partial pressure of oxygen (PO2) remains within safe limits, preventing oxygen toxicity. It also helps explain why Nitrox extends your bottom time by lowering nitrogen partial pressure.

Can Dalton's Law cause decompression sickness (DCS)?

Dalton's Law itself doesn't cause DCS, but it explains the mechanism by which nitrogen enters and leaves your body. The higher the partial pressure of nitrogen (PN2) at depth, the more nitrogen your tissues absorb. If you ascend too quickly and don't allow sufficient time for this dissolved nitrogen to off-gas safely, you risk DCS.

What are safe partial pressure limits for divers?

For oxygen (PO2), the recreational limit is typically 1.4 ATA (20.6 PSIA) during the bottom phase of a dive, and up to 1.6 ATA (23.5 PSIA) for decompression stops. There isn't a strict 'safe' partial pressure limit for nitrogen, but its effects (narcosis) become noticeable above 3.0 ATA (44.1 PSIA) and significantly impairing above 4.0 ATA (58.8 PSIA).

Who was John Dalton, and when did he propose this law?

John Dalton was an English chemist and physicist. He proposed his Law of Partial Pressures in 1801 as part of his broader work on gas mixtures and atomic theory, laying fundamental groundwork for understanding gas behaviour.

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