Air Pressure at Altitude Calculator
This calculator works out standard atmospheric pressure at any altitude using the barometric formula from the International Standard Atmosphere (ISA), the reference model used in aviation, meteorology and engineering. Pressure falls as you climb because there is less air above you pressing down, and this tool shows exactly how much it drops at a given height. You enter an altitude in metres, feet or kilometres, either typing a figure or picking a preset from sea level up to Mt Everest's summit, and you can adjust the reference sea-level pressure and temperature to model non-standard starting conditions. It returns pressure at that altitude in five units at once - pascals, hectopascals, kilopascals, atmospheres and millimetres of mercury - plus the temperature and atmospheric layer at that height (troposphere up to 11,000 m or lower stratosphere from 11,000 to 20,000 m), and a comparison table showing pressure across a range of key altitudes side by side. It covers altitudes from sea level to 20,000 m, applying the correct formula for whichever layer your figure falls into. Use it to understand how pressure changes with height for flying, hiking, weather work or study, and remember these are standard, theoretical figures rather than a live weather reading: real-world pressure varies with weather systems, season and latitude, so for aviation, medical or safety-critical decisions always rely on calibrated instruments rather than this indicative calculation.
1. Altitude Input
2. Reference Conditions
Pressure at Key Altitudes
| Altitude | Pressure (hPa) | Pressure (Pa) | % of Sea Level | Temp (K) | Layer |
|---|
Calculation Details
Worked Example
How to Calculate Air Pressure at Altitude
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 Barometric Formula
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:
- P = pressure at altitude h (Pa)
- P0 = sea-level standard pressure = 101,325 Pa
- L = temperature lapse rate = 0.0065 K/m
- h = altitude above sea level (m)
- T0 = sea-level standard temperature = 288.15 K (15 degrees Celsius)
- g = gravitational acceleration = 9.80665 m/s squared
- M = molar mass of dry air = 0.0289644 kg/mol
- R = universal gas constant = 8.31446 J/(mol K)
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
Lower Stratosphere (11,000 to 20,000 m)
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.
Pressure at Common Altitudes
| 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% |
Why It Matters
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.
Real vs Standard Atmosphere
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.
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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.