Geography & Earth
Intermediate

Dry Adiabatic Lapse Rate

Rate air cools with altitude when rising dry.

Formula

Γ≈9.8 °C/km\Gamma \approx 9.8\,\degree C/km

Variables

\GammaLapse rate

Example

Air cools as it rises

How it works

The dry adiabatic lapse rate is the typical cooling rate of an unsaturated air parcel as it rises through the atmosphere, about 9.8 °C for every 1 km increase in altitude. It happens because rising air moves into lower pressure, expands, and uses its internal energy to do that expansion, which lowers its temperature even though no heat is lost to the surroundings. The word "dry" means the air parcel is not saturated, so condensation and latent heat are not part of the calculation.

When to use it

Use this when estimating the temperature change of a rising or sinking parcel of unsaturated air in meteorology, mountain weather, or atmospheric stability problems. It is especially useful for questions involving uplift over hills, convection, or comparing air temperature at different heights.

Worked example, step by step

A parcel of dry air rises from 500 m to 2,000 m above sea level. Change in height = 2,000 m - 500 m = 1,500 m = 1.5 km Dry adiabatic lapse rate = 9.8 °C/km Temperature change = 9.8 × 1.5 = 14.7 °C So the air parcel cools by 14.7 °C as it rises If it started at 22.0 °C, final temperature = 22.0 - 14.7 = 7.3 °C

Common mistakes to avoid

  • Using this rate for saturated air, where condensation changes the cooling rate
  • Forgetting to convert altitude change into kilometres before multiplying
  • Applying the rate to environmental air temperature instead of a moving air parcel

Did You Know?

Air cools about 6.5°C per kilometre of altitude, which is why tall mountains keep snowy peaks in summer.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026