A simple way to model air pollution over a city is using a box model that assumes complete mixing and limited capability for the pollution to disperse horizontally or vertically except in the direction of the prevailing winds. Consider the air over a city to be a box: The city is 100 km wide and 50 km long in the direction of wind. The inversion layer is at an altitude of 1.0 km. Clean air is blowing into the box with a speed of 4 m/s (see Figure below). Suppose an air pollutant with decay rate constant k = 0.20/hr is emitted within the box at a total rate of 10.0 kg/s. Calculate the steady-state air pollutant concentration (in the unit of kg/m³) if the air is assumed to be completely mixed and state the assumptions used 100 km Wind direction 1 km 50 km

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A simple way to model air pollution over a city is using a box model that assumes complete
mixing and limited capability for the pollution to disperse horizontally or vertically except in
the direction of the prevailing winds. Consider the air over a city to be a box: The city is 100
km wide and 50 km long in the direction of wind. The inversion layer is at an altitude of 1.0
km. Clean air is blowing into the box with a speed of 4 m/s (see Figure below). Suppose an air
pollutant with decay rate constant k = 0.20/hr is emitted within the box at a total rate of 10.0
kg/s.
Calculate the steady-state air pollutant concentration (in the unit of kg/m³) if the air is assumed
to be completely mixed and state the assumptions used
100 km
Wind
direction
1 km
50 km
Transcribed Image Text:A simple way to model air pollution over a city is using a box model that assumes complete mixing and limited capability for the pollution to disperse horizontally or vertically except in the direction of the prevailing winds. Consider the air over a city to be a box: The city is 100 km wide and 50 km long in the direction of wind. The inversion layer is at an altitude of 1.0 km. Clean air is blowing into the box with a speed of 4 m/s (see Figure below). Suppose an air pollutant with decay rate constant k = 0.20/hr is emitted within the box at a total rate of 10.0 kg/s. Calculate the steady-state air pollutant concentration (in the unit of kg/m³) if the air is assumed to be completely mixed and state the assumptions used 100 km Wind direction 1 km 50 km
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