With the assumptions of Example 18.4 (Section 18.1), at what elevation above sea level is air pressure 90% of the pressure at sea level?

Short Answer

Expert verified

844m above sea level is air pressure 90% of the pressure at sea level.

Step by step solution

01

Step: 1

Pressure at sea levelP0

Pressure above sea levelP

PP0=0.9

Value of pressure as a function of height at the elevation h

P=P0×e-Mgh/RTPP0=e-Mgh/RT

Here M is the molar mass of air 28.8×10-3kg/mol, g is gravitational acceleration, and h is height.

Then, 0.9=e-Mgh/RT

02

Step: 2 Calculation

Solving using log

In0.9=Ine-Mgh/RT-0.105=MghRTh=0.105×8.315×27328.8×10-3×9.8=844m

Therefore, at 844m above sea level is air pressure 90% of the pressure at sea level.

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