$(30$ pnts$)$ A projected $400MW$ power plant with a stack of $60m$ height and $5m$ diameter will continuously releases effluents into the ambient atmosphere of temperature $298K.$ The exhaust gas temperature and velocity is calculated as $200C$ and $10\frac{m}{s},$ accordingly. The power plant will bum $3500$ tons of coal$/$day and the coal assay indicates $1\mathrm{.}5\%$ Sulphur. Suppose cloudless, hot summer afternoon day with a lapse rate $20\frac{K}{k}m$ and there is a wind from north to south at a speed of $1\mathrm{.}8\frac{m}{s}.$

a$)(15$ pnts$)$ Calculate mass flow rate $(\frac{g}{s})$ and volumetric flowrate $(m\frac{3}{s})$ and mass flow rate to volumetric flow rate ratio $(m\frac{g}{m^3})$ of Sulphur dioxide $(S{O}_2)$ emitted from the stack.

b$)$ pnts$)$ Calculate the plume rise and effective height of the stack.

c$)(20$ pnts$)$ Predict the location and magnitude of the maximum ground level concentration of $S{O}_2?$ Compare the maximum ground level concentration with the limit value given in the Turkish Industrial Air Pollution Control Regulation.