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# SO2 Concentration Downwind from a Power Plant

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4) A power plant burns 10^4 kg hr-1 of coal that contains 2.5% sulfur. The stack is 50 m high, and the plume typically rises 30 m.

a) Calculate the ground-level concentration of sulfur dioxide (SO2) (in micrograms m-3) 800 m downwind from the source directly under the plume under the following conditions: Wind speed = 4 m s-1, moderately sunny day (moderately unstable conditions).

b) Repeat the above calculation for a stack height of 75 m and a wind speed of 6 m s-1.

Please see attachment for graph and tabular column.

##### Solution Summary

Calculations required to show concentration of SO2 downwind from a powerplant are depicted in detail.

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The following is an excerpt from: http://www.eng.tau.ac.il/units/industrial/seminars/robustecodesign.pdf

The general Gaussian plume model describes the concentration of the pollutant at any point of the plume. For simplicity, we limit our discussion to the pollutant's ground level
concentration down the central line of the plume, which is calculated at any distance x from the stack center, by:

Where, mi,s is pollutant i emission rate from the stack in (kg/s); UH is the wind speed in the x-direction at the effective stack height H; and  y and  z are the dispersion coefficient in the transverse (y) and vertical (z) axes respectively.
The values of  y and  z are evaluated empirically and depend on the stability condition, which refers to the ability of the system to return to its initial state after being perturbed from ...

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