4.1. Formulation of Normal Distribution

Try these first

1. 1.

   What does the steady-state assumption imply about pollutant concentration?

   Hint

   Think about time vs. location.

2. 2.

   Explain what a Gaussian distribution looks like.

   Hint

   Consider the shape and symmetry.

3. 3.

   What assumption must remain constant for the steady-state model to be valid?

   • Emission rate
   • Weather conditions
   • Pollutant type

   Hint

   Think about what affects concentration over time.

4. 4.

   The Gaussian distribution curve is characterized by which shape?

   • True
   • False

   Hint

   Visualize the shape of the curve.

5. 5.

   Given a Gaussian model with an emission rate of 100 kg/day and standard deviations of σy = 10 meters and σz = 5 meters, calculate the concentration at a point (20m, 10m, 0m).

   Hint

   Use the Gaussian equation as a reference.

6. 6.

   Describe what modifications to the Gaussian model would be necessary if the source of emissions changes height over time.

   Hint

   Consider how changing elevation affects pollutant spread.