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Question 2: La température dans latmosphère est bien approximée par une collection de fonctions daltitude linéaires. Prener p= quand z - Okm. Trouver des expressions pour la pression et la densité à chaque hauteur. Quelle est laltitude qui est supérieure à exactement 90% de la masse de latmosphère? Négliger la courbure de la terre et intégrer en coordonnées cartésiennes. Traiter lair comme un gaz parfait avec R 287J The temperature in the atmosphere is well ap proximated by a piece-wise linear function of al- titude. Assuming p 101 325Pa at z- 0km find expressions for the pressure and density at every height. What altitude is higher than ex- actly 90% of the mass of the atmosphere? Ne- glect the curvature of the earth and integrate in Cartesian coordinates. Treat the air as an ideal gas with R- 287J 101 325 Pa kg K z (km) 90 80 70 60 T(2)-(2.8)+140.3°C, 50-Tlz)=-25°C, 40 |T(z) = (2.8 km)2-134.1°C, 30 20 10 T(z) =-(2.0 km. )2 + 83.5°C, 71km < z < 85km 51 km<z <71 km 47 km < z<51 km 32km < z < 47 km T(z) = (1扁)2-76.5°C, T(z)--56.5°C, T(z)=-(6.5扁)2+15°C, 20km<z<32km 11 km<z < 20km 0km < z < 11 km T (°C) 80 -60-40 -20 020

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