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(Solved) : 543 Simple Model Ot Atmosphere Ing Differences Temperature Humidi Says Density Air Falls E Q32477656 . . .

5.43 A very simple model ot the atmosphere (i ing differences in temperature and humidi says that the density of air falls off expone gnor. ity) tially with altitude h. The density at sea level (h = 0) is approximately 1.2 kg/m3 and it to half that value at an altitude of roughly h 6000 m. (a) Write a function for the density of air as a function of altitude, using the val- ues given in the problem. 5.46 (b) Using this simplified model, find the total amount of air in a one square meter column extending from sea level up infinitely high. (c) The temperature of the air, like the 5.4 density, falls off roughly exponentially with altitude. Explain why it does not make sense to integrate the tempera- ture with respect to altitude5.43 A very simple model ot the atmosphere (i ing differences in temperature and humidi says that the density of air falls off expone gnor. ity) tially with altitude h. The density at sea level (h = 0) is approximately 1.2 kg/m3 and it to half that value at an altitude of roughly h 6000 m. (a) Write a function for the density of air as a function of altitude, using the val- ues given in the problem. 5.46 (b) Using this simplified model, find the total amount of air in a one square meter column extending from sea level up infinitely high. (c) The temperature of the air, like the 5.4 density, falls off roughly exponentially with altitude. Explain why it does not make sense to integrate the tempera- ture with respect to altitude Show transcribed image text

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