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Boiling point at altitude calculator

Estimate local standard-atmosphere pressure and the boiling temperature of pure water from altitude, with a comparison table over common elevations.

Calculator

Estimated atmospheric pressure
101.325
Estimated water boiling point
373.15
Standard-atmosphere comparison
Altitude (m)Pressure (kPa)Boiling temperature (C)
0.000000101.325000100.000000
500.00000095.46083998.309794
1,000.00000089.87457196.615702
2,000.00000079.49521693.215352
3,000.00000070.10854589.797901
5,000.00000054.01991282.907170

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How this calculator works

Altitude is converted to pressure using the tropospheric U.S. Standard Atmosphere, then to boiling temperature using constant-enthalpy Clausius-Clapeyron for pure water. The altitude input is geopotential height, closely approximated by ordinary elevation over this range. Weather changes actual pressure; the model is an average atmosphere. Water impurities, dissolved salt and pressure vessels are excluded. The model accepts -500 to 11000 m and uses a 373.15 K, 101325 Pa water reference.

Formula

P = 101325 [1 - 0.0065 h/288.15]^(g M/(Rair 0.0065)); 1/Tboil = 1/373.15 - (R/40650) ln(P/101325).

Worked example

At sea level, estimated pressure is 101.325 kPa and water boils at 100 C. At 1000 m geopotential height, pressure is about 89.875 kPa and the estimate is about 96.6 C.

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Frequently asked questions

Does weather affect this result?

Yes. A measured local absolute pressure gives a better boiling-point estimate than altitude alone.

Why stop at 11 km?

Above the troposphere the standard-atmosphere temperature profile changes and needs another equation.

Does this set cooking times?

It estimates temperature only. Food, equipment and cooking procedures also determine timing.

Sources

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