A large coal fired power plant burns $70k\frac{g}{sec}$ 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 $230m.$ Calculate the maximum particulate matter concentration downwind of the

stack for class $C$ stability open country conditions as well as the downwind distance that peak

concentration occurs. Particulate matter should be modeled using a no$-$reflection Gaussian plume

equation.