The plane took off from the airport in normal weather (t = 25оС, Р = 765 mm Hg). Having reached the target height (5000 m)

The plane took off from the airport in normal weather (t = 25оС, Р = 765 mm Hg). Having reached the target height (5000 m), it was partially depressurized. The pressure in the cabin began to drop by 2.5 mm Hg. Art. for every 10 s. How long do pilots have to lower the plane to 1000m above sea level?

1) Before depressurization, the pressure in the aircraft cabin was the same as at the Earth’s surface – 765 mm Hg. Art.
Determine the pressure difference in the aircraft cabin and at an altitude of 1000 m:
765 mmHg Art. – h × ΔР = 765 mm Hg. Art. – 1000 m × 1 mm Hg. Art. : 10 m = 765 mm Hg. Art. – 100 mm Hg. Art. = 665 mm Hg. Art.
2) The pressure in the plane drops by 2.5 mm Hg. Art. for 10 s or 15 mm Hg. Art. in 1 min.
3) Determine the time that the pilots have to descend to the desired altitude:
665 mmHg Art. : 15 mmHg Art. / 1 min. = 44.33 minutes, or 44 minutes 20 seconds.
Answer: The pilots have 44 minutes 20 seconds to lower the plane to 1000 m above sea level.

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