B. Dispersion of plume with a continuous steady-state source at height Hr above ground level and wind moving in x-direction at constant velocity u is given by Eqn. (5-49), Case 13 (Textbook, 3rd ed.) Q 1 -H, 1 Z +H, (C)(x, y, z)= exp exp (5-49) 2 2 0. 2 - - - +43) fe(+36) r +exp - "}] 2,.14 Z Z where, (C) is average concentration at point (x,y,z) Qm is mass release rate of gas (mass/time) 0,90, are the y and z dispersion coefficient u is the wind speed (length/time) x is the downwind direction y is the crosswind direction z is the height above the ground Hy is the release height (length) Now consider an incinerator located in rural area has a stack height of 45 m. On a bright sunny day with a 4.5 m/s wind speed, the concentration of sulfur dioxide (SO2) 2 km directly downwind on the ground is measured at 5.5x10-gm/m. a. Show how Equation (5-49) is simplified for the downwind centerline concentration, (C)(x,0,0). . b. Estimate the total release rate of sulfur dioxide (in gm/s) from this stack. Assume rural conditions. Data for sulfur dioxide (SO2): Molecular weight: 64