A large coal fired power plant burns $70$ kg$/$sec of coal that contains $8\%$ incombustible minerals by mass. The incombustible minerals end up as particulate matter emitted from a stack with an effective emission height of $230$ m and wind speed $2$ meters per second. Calculate the maximum ground level particulate matter concentration downwind of the stack for class C stability open country conditions as well as the downwind distance that peak ground level concentration occurs. Particulate matter should be modeled using a no$-$reflection Gaussian plume equation