### Determine the coliform concentration at the beach

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An ocean outfall diffuser that discharges treated wastewater into the Atlantic Ocean is 5,000 m from a public beach. The wastewater contains 10^5 coliform bacteria per milliliter. The wastewater discharge flow rate is 0.3 m^3/s. The coliform first-order death rate in seawater is approximated 0.3 h^-1. The current carries the wastewater plume toward the beach at a rate of 0.5 m/s. The ocean current may be approximated as a pipe carrying 600 m^3/s of seawater. Determine the coliform concentration at the beach. Assume that the current behaves as a plug-flow reactor and that the wastewater is completely mixed in the current at the discharge point.

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