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At the Farm Lane Bridge, the number of bacteria has been determined to be 5.90E+5 CFU(Colony...

At the Farm Lane Bridge, the number of bacteria has been determined to be 5.90E+5 CFU(Colony Forming Units). Five miles downstream the number of organisms has been determined to be 8.30E+4 CFU. The velocity in the stream is 0.58 m/s. Determine the first order decay constant. (in unit of s-1).

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Answer #1

The time elapsed between the two points is given by:

The relation between concentration and time for a first order process is given by:

Where c is the concentration at a given time, c0 is the initial concentration, k is the decay constant and t is the time. For our situation, we can rearrange and solve:

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