Question

An industrial stack emits 100 g/s of CO at an effective height of 'H', where the wind speed is 5 m/s. At 3 km distance downwind, the values of dispersion coefficient in y- direction and z-direction are 50 m and 25 m, respectively. The CO concentration at the centerline of the plume at 3 km distance downwind is ________ \(mg/m^3\) (rounded off to 2 decimal places)?  Use Gaussian plume model and value of \(\pi\) = 3.14. Neglect reactions and the ground effect of plume in the calculations.

Answer 1

Correct Answer: 2.5

Step 1: Use the Gaussian plume model to estimate the concentration. \[ C = \frac{Q}{(2\pi u \sigma_y \sigma_z)} \] \[ C = \frac{100 \, \text{g/s}}{2\pi \times 5 \, \text{m/s} \times 50 \, \text{m} \times 25 \, \text{m}} = 2.55 \, \text{mg/m}^3 \]