If the air temperature is 20^∘ C at sea level, assuming a constant lapse rate, what is the air t

step 1 We'd like to find what's the air temperature at the top of Mount Everest. So we can use our form

If the air temperature is 20^∘ C at sea level, assuming a...

If the air temperature is $20^{\circ} \mathrm{C}$ at sea level, assuming a constant lapse rate, what is the air temperature (a) at the top of Mt. Everest ($8848 \space\mathrm{m}$ ) and (b) outside a jet aircraft flying at an altitude of $12,000 \space\mathrm{m} ?$

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Key Concepts

Temperature Extrapolation

Temperature extrapolation involves calculating the expected temperature at a different altitude by using the known temperature at a reference level and applying a rate of change, such as the lapse rate. This process assumes a linear change in temperature and is commonly used in basic atmospheric models to estimate temperatures at various heights.

Altitude

Altitude refers to the height above a defined level, typically sea level, and is crucial in determining atmospheric conditions such as temperature, pressure, and density. In meteorology, altitude is used alongside the lapse rate to predict variations in temperature as one moves away from the Earth's surface.

Lapse Rate

The lapse rate is the rate at which air temperature decreases with an increase in altitude. It is a fundamental concept in atmospheric science used to estimate how temperature changes in the troposphere, and it plays a crucial role in weather forecasting and climate studies. When a constant lapse rate is assumed, it simplifies the process of calculating temperature at different altitudes based on a known starting value.

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