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Every breath, taken apart

Dalton's law says the pressure of a gas mixture is just the sum of the pressures each gas would exert on its own — its partial pressure. Air is roughly 21% oxygen and 79% nitrogen, so at the surface oxygen pushes with 0.21 atmospheres and nitrogen with 0.79. Each gas's share is simply its fraction of the whole:

P_gas = fraction × P_total

Underwater the total pressure climbs by one atmosphere every 10 metres, and here's the catch the percentages hide: the mix never changes, but every gas's partial pressure rises right along with the depth. The same 21% oxygen pushes five times as hard at 40 metres as it did at the surface. Pick a mix and a depth and watch each gas grow.

O₂ partial press.
0.21 ATA
N₂ partial press.
0.79 ATA
Max op. depth
57 m
O₂ vs limit
under 1.4
the mix 21% O2 / 79% N2 PO₂ 1.4 1.6 0.21 PN₂ ~30 m on air 0.79
oxygen 21% (air)
depth 0 m

No mystery in any of it — it's just math, describing reality closely. The steps resolve live with your numbers:

Dalton's law, step by step

Oxygen is the one with a ceiling. Breathed at a partial pressure much above about 1.4 ATA, it turns from life-support into a central-nervous-system hazard — which is why every mix has a maximum operating depth, the depth where its oxygen hits that line. For plain air that's around 57 metres, comfortably past where recreational divers go, so air never bumps the oxygen limit — though the gas turns too thick to breathe a good deal shallower. Enriched air — Nitrox, with extra oxygen — hits 1.4 much shallower, so its depth ceiling rises toward you. The equation is just the law solved for depth:

MOD = 10 × (1.4 ÷ fraction O₂ − 1)

So Nitrox isn't "deeper air" — it's the opposite. The reason to breathe it is the other gas: more oxygen means less nitrogen, and nitrogen is what dissolves in and loads your tissues and fogs your head with narcosis. Less of it means more no-decompression time — you load nitrogen more slowly, so you reach the limit later — and a slightly clearer mind at the same depth. That's the whole trade in one sentence: dial the oxygen up and you buy bottom time and clarity, but you pay for it with a shallower ceiling. Two gases, one law, pulling in opposite directions.

Quick check

You switch from air to enriched air (more oxygen) for a dive. Compared with air at the same depth, what do you get?

These are the textbook equations and round-number limits, shown for intuition — not a Nitrox course, and never a substitute for analyzing your own cylinder and setting your own computer. For real training and the safety details, go to the people who do it for a living — DAN (Divers Alert Network).