$2.(30$ pnts$)$ A projected $400$ MW power plant with a stack of $60$m height and $5$m diameter will continuously releases 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. The power plant will burn $3500$ tons of coal$/$day and the coal assay indicates $1\mathrm{.}5\%$ Sulphur. Suppose cloudless, hot summer afternoon day with a lapse rate $20$ K$/$km and there is a wind from north to south at a speed of $1\mathrm{.}8$ m$/$s$.$ b$)(20$ pnts$)$ Calculate the plume rise and effective height of the stack.