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Chapter 3: Q20E (page 611)

At an altitude of 11,000 m (a typical cruising altitude for a jet airliner), the air temperature is -56.5°C and the air density is 0.364 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 calculation of Example 18.4 in Section 18.1 doesn’t apply.)

Short Answer

Expert verified

The pressure of the atmosphere at that altitude 2.277×104Pa

Step by step solution

01

Ideal Gas Equation

Ideal gas equationPV=nRT

P=Pressure, V=Volume, n=no. of moles, R=8.314J/mol

K=Ideal Gas Constant, T=Temperature

02

Calculation

n=mM, here, M is Molar mass

m=nMρ=mV=nMVV=nMρ

Putting Ideal Gas Equation

PV=nRT

03

Step 3:

Putting equations of V

P=nRTV=nRTnMρ=ρRTM

Putting all the values,

P=nRTM=0.3648.314273.15-56.528.8×10-3=2.277×104Pa

The pressure of the atmosphere at that altitude2.277×104Pa.

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