The variation of pressure with density in a thick gas layer is given by P = Cρn, where C and n are constants. Noting that the pressure change across a differential fluid layer of thickness dz; in the vertical z-direction is given as dP = – ρg dz; obtain a relation for pressure as a function of elevation z. Take the pressure and density at z = 0 to be P0 and ρ0, respectively.
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