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An activated sludge system (sketched below) is operating at equilibrium with the following information. Wastewater related data: flow rate $= 500 \: m^3/hour$, influent BOD $=150 \: mg/L$, effluent BOD $=10 \: mg/L$. Aeration tank related data: hydraulic retention time $=8$ hours, mean-cell-residence time $=240 $ hours, volume $=4000 \: m^3$, mixed liquor suspended solids $=2000 \: mg/L$.

The food-to-biomass (F/M) ratio (in kg BOD per kg biomass per day) for the aeration tank is

  1. $0.015$
  2. $0.210$
  3. $0.225$
  4. $0.240$
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