Задача 20262.

The barometer in the cockpit of a flying aircraft always shows the same pressure p = 80 kPa, due to which the pilot considers the altitude h of the flight to be unchanged. However, the air temperature changed by 1 K. What mistake did the pilot make in determining the altitude? Assume that the temperature does not depend on height and that the pressure at the Earth´s surface is 100 kPa.

A detailed solution with a brief note of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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