1. You are to estimate the concentration of an conservative air pollutant that i
ID: 1712956 • Letter: 1
Question
1. You are to estimate the concentration of an conservative air pollutant that is emitted locally at a steady rate of 104 kg/day. The local area can be described as a “box” that has a dimension of 3 km perpendicular to the wind, which has a speed of 4 m/sec. The dimension parallel to the wind is 5 km. The upwind air has none of the air pollutant. The pollutant is emitted from a smoke stack with an elevation of 50 m and with a temperature of 25°C. The ambient lapse rate is linear at -8°C/km and with a ground temperature of 20°C.
Explanation / Answer
The height of "box" can be considered up to
50m+5/8*1km=675m
Thus volume=3km*5km*675m=10125cubic meter.
Time taken by smoke to escape the "box"=(5km)/(4m/s)=1250s
Amount of pollutant emitted=(104kg/day)*1250s=1504.63g
Hence, concentration=1504.63g/10125cubicm=.1486g/cubicm
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