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Question: if the relationship between pressure and density were that for...

Question details

If the relationship between pressure and density were that for isentropic changes (i.e. reversible and adiabatic) p /hoγ = constant, show that the
pressure at altitude H can be written as;

p = p_{sl}(1 - ((gamma - 1)/gamma )*((gH)/(RT_{sl}))^{gamma /(gamma -1)}
Plot a few values of pressure, density and temperature on graph below, the International Standard Atmosphere.

0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2Temperature 288.15H 0.1 Temperature Ratio Density Ratio Pressure Ratio Standard sea-level conditions Pressure- 101.3 kPa Density 1.225 kg/m3 Altitude (m) 5000 10000 15000


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