43. Barometer in the cockpit flying an airplane at all

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43. Barometer in the cockpit flying an airplane at all times show the same pressure p = 80 kPa, whereby the pilot said height h unchanged. However, the temperature change in the ΔT = 1 K. What is the error in the determination of the height Δh made a pilot? Assume that the temperature does not depend on the height and that the surface of the earth pressure p0 = 100 kPa.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)