How much error would be introduced in the answer to Prob. 2.2 if the equation for hydrostatic equilibrium [Eq. (2.4)] were used, with the density evaluated at 0°C and an arithmetic average pressure?

Prob. 2.2

The temperature of the earth's atmosphere drops about 5°C for every 1,000 m of elevation above the earth's surface. If the air temperature at ground level is 15°C and the pressure is 760 mm Hg, at what elevation is the pressure 380 mm Hg? Assume that the air behaves as an ideal gas.

Eq. 2.4 

Transcribed Image Text:

Pь Р Pa P = g(Z - Z) (2.4)