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Box model

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January 26th, 2023

Consider modeling the air over an area to be abox, 100km on each side that reaches an altitude of 1km. Clean mountain air blows into this box from the west with an average speed of 4m/s. A key pollutant is generated in this box at a rate of 10kg/s. The pollutant degrades in proportion to its concentration (k=.2(1/hr))
Find the steady state concentration immediately downward of the urban air basin, if the air is completely mixed by the wind.
B) If the windspeed drops to 1m/s, estimate the urban atmosphere concentration immediately downwind 2hrs later.

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