Calculate atmospheric pressure at any altitude using the International Standard Atmosphere (ISA) barometric formula. Enter altitude in metres or feet and get pressure instantly in pascals, hectopascals, kilopascals, atmospheres, and millimetres of mercury.
| Altitude | Pressure (hPa) | Pressure (Pa) | % of Sea Level | Temp (K) | Layer |
|---|
Atmospheric pressure decreases with altitude because there is less air above any given point to exert its weight. The standard method for calculating pressure at altitude is the barometric formula from the International Standard Atmosphere (ISA), defined by ICAO (International Civil Aviation Organisation).
The ISA divides the atmosphere into layers. For everyday altitudes up to 11,000 metres (the troposphere), the formula is:
P = P0 x (1 - L x h / T0)^(g x M / (R x L))
Where:
The exponent g x M / (R x L) evaluates to approximately 5.25588. The formula simplifies to:
P = 101325 x (1 - 0.0000225577 x h)^5.25588
Above 11,000 m, the temperature is constant at 216.65 K (-56.5 degrees Celsius). Pressure decreases exponentially:
P = 22632.1 x exp(-0.0001577 x (h - 11000))
Where 22,632.1 Pa is the pressure at the tropopause (11,000 m) under ISA conditions.
| Location / Altitude | Altitude (m) | Pressure (hPa) | % of Sea Level |
|---|---|---|---|
| Sea level | 0 | 1013.25 | 100% |
| Queenstown, NZ (approx) | 310 | 976 | 96.3% |
| 1,000 m | 1,000 | 898.75 | 88.7% |
| Aoraki / Mt Cook | 3,724 | 640 | 63.2% |
| Everest Base Camp | 5,364 | 514 | 50.8% |
| Mt Everest summit | 8,849 | 315 | 31.1% |
| Airliner cruise (35,000 ft) | 10,668 | 237 | 23.4% |
| Tropopause | 11,000 | 226.3 | 22.3% |
Air pressure at altitude affects many practical situations. Pilots use pressure altitude to set altimeters and calculate aircraft performance. Hikers and climbers need to understand that lower pressure means less available oxygen, which becomes significant above about 3,000 m. Meteorologists use the pressure-altitude relationship to convert between station pressure and sea-level pressure on weather maps. Engineers design pressurised aircraft cabins and equipment to maintain safe pressure levels at cruising altitude. Cooks at altitude often need to adjust recipes because water boils at lower temperatures when pressure is reduced.
The ISA formula gives the standard or theoretical pressure. Actual atmospheric pressure varies with weather, season, and latitude. For accurate real-world measurements, you need a barometer. The ISA model is used as a reference baseline for aviation, engineering design, and instrument calibration rather than as a live weather forecast.
Sources and method: International Standard Atmosphere (ISA) as defined by ICAO Doc 7488. US Standard Atmosphere 1976. Barometric formula: P = P0 x (1 - L x h / T0)^(g x M / (R x L)) for the troposphere (0 to 11,000 m); P = 22632.1 x exp(-0.0001577 x (h - 11000)) for the lower stratosphere (11,000 to 20,000 m).
This calculator uses the International Standard Atmosphere model, which gives standard conditions. Actual atmospheric pressure varies with weather and season. For aviation, engineering, or medical applications always use calibrated instruments and consult relevant regulations and standards.
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