Air Pressure Altitude Calculator

Air Pressure at Altitude

Calculate atmospheric pressure at any altitude using the barometric formula. Essential for aviation, weather prediction, and high-altitude physics.

Calculate Pressure

Accurate to ~11km

Standard: 1013.25 hPa

Pressure at Altitude
898.75
89875 Pa • 0.886995 atm
hPa / mb

Atmospheric Pressure & Altitude

Atmospheric pressure decreases exponentially with altitude. As you climb, there is less air mass above you pressing down. The barometric formula provides a mathematical model for pressure variation, assumed a constant temperature lapse rate in the troposphere.

This calculator uses the standard lapse rate model, assuming temperature decreases 6.5 K per kilometer. This is accurate up to about 11 km altitude in the troposphere. Commercial aircraft cruise around 10,000-12,000 meters.

The Barometric Formula

P = P₀(1 - Lh/T₀)^(gM/RL)
P = Pressure at altitude | P₀ = Sea level pressure | L = Lapse rate (0.0065 K/m)
h = Altitude | T₀ = Sea level temp (288.15K) | g = Gravity (9.80665 m/s²)
M = Molar mass air (0.0289644 kg/mol) | R = Gas constant (8.31447 J/mol·K)

Key Fact: Pressure drops by ~50% every 5.5 km (scale height). Mount Everest (8,849m) has only ~34% sea level pressure.

Altitude Reference Data

Sea Level: 1013.25 hPa
Denver: ~830 hPa (1609m)
5000m: ~540 hPa
Mt. Everest: ~336 hPa (8849m)
10000m (cruise): ~265 hPa
Kármán Line: ~0 hPa (100km)

Frequently Asked Questions

Why is pressure lower at high altitude?

Less air mass above means less weight pressing down. Exponential decrease due to decreasing density with altitude.

How does altitude affect boiling point?

Lower pressure → lower boiling point. Water boils at ~68°C at 3000m vs. 100°C at sea level.

Why do planes pressurize cabins?

10,000m altitude pressure (25% sea level) is lethal without oxygen. Pressurization maintains ~8,000m equivalent inside.

What's the 'scale height'?

~5.5 km in troposphere. Pressure halves every scale height. Used for quick exponential estimation.

Is the formula accurate for all altitudes?

Accurate to ~11 km (troposphere). Stratosphere and higher have different conditions and lapse rates.

How is altitude measured?

Altimeter uses pressure difference. GPS is most accurate but altimeter is standard in aviation.

Why do mountains have less oxygen?

Lower pressure → lower oxygen partial pressure. Less O₂ available even though composition is ~21%.

What causes altitude sickness?

Reduced oxygen availability. Body can acclimatize in days/weeks. Sea level → 2500m+ quickly causes issues.

Related Tools

Air Density

Calculate density at altitude

Boiling Point

Temperature effects on altitude

Dew Point

Condensation temperature

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