A wastewater treatment plant must disinfect its effluent before discharging the wastewater to a nearby stream. The wastewater contains 4.5x10$ fecal coliform colony-forming units (CFU) per liter. The maximum permissible fecal coliform concentration that may be discharged is 2000 fecal coliform CFU/L. It is proposed that a pipe carrying the wastewater be used for disinfection process. Determine the length of pipe required if the linear velocity of the wastewater in the pipe is 0.75 m/s. Assume that the pipe behaves as a steady-state plug-flow system and that the reaction rate constant for the destruction of the fecal coliform is 0.23/min.

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