Problem:
A wastewater treatment lagoon is able to reduce pollutant concentrations at a rate of 84% per day with a process that follows 2nd-order reaction kinetics. The treatment system currently operates at a uniform, steady flow of 100 m3/d. Assuming the average influent pollutant concentration equals 45 mg/L and beginning with a general mass balance expression,
Required:
Question 1: Derive a relationship describing pollutant concentrations in this system.
Question 2: Present a graphic illustrating the 2nd-order mass loss process ongoing in this treatment lagoon.
Note: Explain all steps comprehensively.