All Problems

Equation of the gas state processes

Problem 2.16

Assuming the temperature and the molar mass of air, as well as the free-fall acceleration, to be independent of the height, find the difference in heights at which the air densities at the temperature \(0^{\circ} \mathrm{C}\) differ (a) e times; (b) by \(\eta=1.0 \%\)

Reveal Answer
 (a) h=RT/Mg=8.0 km (b) hηRT/Mg=0.08 km\text { (a) } h=R T / M g=8.0 \mathrm{~km} \text { (b) } h \approx \eta R T / M g=0.08 \mathrm{~km}