Problem 3.43 - Problem 3.43 [Difficulty: 3] Given: Data on...

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Problem 3.43 [Difficulty: 3] Given: Data on isothermal atmosphere Find: Elevation changes for 3% pressure change and 5% density change; plot of pressure and density versus elevation Solution: Assumptions: Static, isothermal fluid,; g = constant; ideal gas behavior Basic equations dp dz ρ g = and p ρ R T = Then dp dz ρ g = pg R air T = and dp p g R air T dz = Integrating Δ z R air T 0 g ln p 2 p 1 = where TT 0 = For an ideal gas with T constant p 2 p 1 ρ 2 R air T ρ 1 R air T = ρ 2 ρ 1 = so Δ z R air T 0 g ln ρ 2 ρ 1 = C ln ρ 2 ρ 1 = (1) From Table A.6 R air 287 Nm kg K = Evaluating C R air T 0 g = 287 kg K 30 273 + () × K 1 9.81
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Problem 3.43 - Problem 3.43 [Difficulty: 3] Given: Data on...

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