A wastewater treatment plant discharges 0.1 m3/s of treated wastewater to a river having a mean flow rate of 25 m3/s. The biological components of the wastewater have a concentration of 15 mg/l in the waste stream and are consumed by bacteria in the river with a rate constant of k = −0.3 d-1. 1. Ignoring the biological reaction, what is the pure physical dilution downstream in the river after the waste discharge is fully mixed across the cross-section of the river?

Structural Analysis
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A wastewater treatment plant discharges 0.1 m3/s of treated wastewater to a river having a mean flow rate of 25 m3/s. The biological components of the wastewater have a concentration of 15 mg/l in the waste stream and are consumed by bacteria in the river with a rate constant of k = −0.3 d-1.

1. Ignoring the biological reaction, what is the pure physical dilution downstream in the river after the waste discharge is fully mixed across the cross-section of the river?

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