Final answer:
The volumetric flow rate of SO2 in normal conditions is found by calculating the volume flow rate of the stack gas using the stack diameter and gas velocity, then multiplying by the SO2 concentration (500 ppm).
Step-by-step explanation:
To calculate the volumetric flow rate of SO2 in normal conditions as Nm3/s, we can use the stack diameter and gas velocity to first find the volumetric flow rate of the stack gas and then apply the SO2 concentration to determine the SO2 flow rate. The flow rate of the gas can be calculated using the formula Q = v⋅A, where Q is the volumetric flow rate, v is the velocity of the gas, and A is the cross-sectional area of the stack. Adjustments for temperature and pressure to STP may require using the ideal gas law.
Using the diameter (d = 3.5 m), we find the area A = π⋅(d/2)^2. Substituting the values, A = π⋅(3.5/2)^2, A = π⋅(1.75)^2, A = π⋅(3.0625) m2. The total volumetric flow rate Q = 20 m/s ⋅ π⋅(3.0625) m2.
Once we have the flow rate Q, we can calculate the flow rate of SO2 as 500 ppm of Q. Therefore, the volumetric flow rate for SO2 is 0.0005 ⋅ Q Nm3/s. However, to adjust this to normal conditions (0 °C and 1 atm), we must use the ideal gas law to convert the volume at 1 atm and 200 °C to normal conditions. This conversion would typically involve using the gas law: V1/T1 = V2/T2 where T should be in Kelvin.