All Problems

Equation of the gas state processes

Problem 2.14

Suppose the pressure \(p\) and the density \(\rho\) of air are related as \(p / \rho^{n}=\) const regardless of height \((n\) is a constant here \() .\) Find the corresponding temperature gradient.

Reveal Answer
dT/dh=Mg(n1)/nRd T / d h=-M g(n-1) / n R