A projected $100$ MW coal power plant with a stack of $60$m height and $1$m diameter will continuously release $5$ gr$/$s SO$2$ effluents into the ambient atmosphere of temperature $298$K$.$ The exhaust gas temperature and velocity is calculated as $200\backslash$deg C and $10$ m$/$s$,$ accordingly. Suppose a cloudless, hot summer afternoon day with a lapse rate $20$ K$/$km and there is a wind from north to south at a speed of $1\mathrm{.}8$ m$/$s$.$a$)(5$ pnts$)$ Calculate mass flow rate $($g$/$s$)$ and volumetric flow rate ratio $($m$^2/$s$)$ of Sulphur dioxide $($SO$2)$ emitted from the stack.b$)(5$ pnts$)$ Compare the power plant mass flow rate $($g$/$s$)$ to volumetric flow rate $($m$3/$s$)$ with the Turkish Industrial Air Pollution Control Regulation limit value for coal fired power plants. If the limit value $($mg$/$m$3)$ of emitted SO$2$ does not meet the regulation limit$,$ calculate required control technology efficiency?c$)(10$ pnts$)$ Calculate the plume rise and effective height of the stack? d$)(15$ pnts$)$ Predict the location and magnitude of the maximum ground levelconcentration of SO$2?$ Compare the maximum ground level concentration with the annual and winter season ambient limit value given in the Turkish Industrial Air Pollution Control Regulation.e$)(15$ pnts$)$ What is the maximum ground level concentration of SO$2$ at Katranc? Compare the maximum ground level concentration at Katranc with the limit value given in the Turkish Industrial Air Pollution Control Regulation. $($Please use the given Google Earth image$)$