Question

At an altitude of 11000 m (a typical cruising altitude for a jet airliner), the air...

At an altitude of 11000 m (a typical cruising altitude for a jet airliner), the air temperature is -54.0 ∘C and the air density is 0.410 kg/m3 .

What is the pressure of the atmosphere at that altitude? (Note: The temperature at this altitude is not the same as at the surface of the earth, so the equation P=P0exp(−MgyRT) doesn't apply.)

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Answer #1

Hi there!

Given :

Temperature = -54 deg. celcius

Altitude : 11000m

Pressure at sea level (constant) = 101325 Pa

The pressure at this altitude was found to be 12714 Pa

For this question, we need to apply the Barometric formula!

which is given by P = Pb .

where,

Pb = static pressure (Pa)

= standard temperature (K)

= standard temperature lapse rate (K/m) in ISA

= height above sea level (m)

= height at bottom of layer b (meters; e.g., h1 = 11 000 m)

R = universal gas constant: 8.3144598 J/mol/K

g = gravitational acceleration: 9.80665 m/s2

= molar mass of Earth's air: 0.0289644 kg/mo

Thank you and please thumbs up :)

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