$.$ Consider a Hawaiian rural sugar mill that consumes $100$ tons$/$hr of sugar cane. The cane contains about $15\%$ sucrose solution. The remaining plant matter is a waste called bagasse, which is burned to generate steam. This mill collects $90\%$ of the PM generated from the process. The remaining PM and other waste gasses $(2\mathrm{.}5$ kmol$/$s$)$ are discharged at $340$ K$,$ have a heat capacity of $30$ kJ$/$ kmol$/$ K$,$ and emit from a $25$ m stack. The local weather is $305$ K on a day with slightly unstable air and wind speed of $4$ m$/$s measured at the height of $10$ m$.$

a$.$ Calculate the PM emission rate $[$g$/$s$],$

b$.$ Determine the effective stack height using the modified Concawe formula,

c$.$ Plot the ground level downwind concentrations for $0<$ x $<5000$ m$,$

d$.$ Find the maximum downwind ground level concentration and its position.