Problem $3$

A point source Gaussian plume model for a power plant uses $50m$ as the effective stack height, H$.$ The night is overcast. $($Note: This is not the same as "cloudy" in this model$)$ Your concern is with ground$-$level pollution at two locations, A and $B,$ which are $1\mathrm{.}2$ and $1\mathrm{.}4km$ directly downwind from the stack.

a$)$ At what distance will the maximum concentration of pollution occur? Which location $($A or B$)$ would have the higher level of pollution?

b$)$ Suppose the sky clears up$,$ and the windspeed stays less than $5\frac{m}{s}.$ Will the location downwind at which the maximum concentration occurs move? If so$,$ will it move closer to the stack or further away from the stack? $($H remains $50m.)$

c$)$ Under the new conditions in part b$,$ which house would experience the most pollution?