There is a direct relationship between the pollutant's steady-state concentration
and the source rate---as the source rate increases, the concentration
increases. There is also a direct relationship between residence time
and steady-state concentration---as the residence time increases, the concentration
increases. There is an inverse relationship between volume and
steady-state concentration---as the volume increases, the concentration decreases.
These are physical processes that act as pollution sources.
In the first lecture, we looked at specific
activities or things that produced air pollution, and classified them as natural
or anthropogenic. The processes here are the actual physical processes used
by any the sources determined earlier.
The sink rate is not actually part of the steady-state box model
concentration calculation, except that we require it to be equal to the source
rate when we have equilibrium conditions. Sink
processes do participate in the determination of the steady-state
concentration through the residence time factor. That is, as the sink
process becomes more efficient, so that pollutants are removed more readily,
the residence time of the pollutants decreases.
The true residence time is found by determining the time it takes for
a major fraction of a pollutant is removed from the air; it is sufficient for
our use to say that it is the time that a pollutant molecule stays in the box
before some sink process removes it.
There is an inverse relationship between the efficiency of the sink processes and the residence time: the more efficient the sink processes, the shorter the residence time (it is not correct to say that sink rate is inversely proportional to residence time, because in the steady-state box model, the sink rate is pre-determined by the source rate, and the absolute value of the sink rate is directly connected to the pollutant concentration at a given moment). It then stands to reason that the shorter the residence time, the smaller the steady-state concentration because the pollutants are being removed relatively quickly and not allowed to hang around inside the box.