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Equation of the gas state processes

Problem 2.14

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

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