GATE CE 2026 Set 1 — Question 63
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Environmental Engineering → Wastewater Treatment Processes → ASP Design (F/M, MLSS, SVI)
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Question
An Activated Sludge Process (ASP) has an inlet wastewater flowrate of with a Biochemical Oxygen Demand (BOD) concentration of . It produces treated wastewater containing BOD. The aeration tank has a working volume of and a biomass concentration of . Biological Sludge Residence Time (BSRT) of the system is . The influent wastewater and the treated effluent from the system have negligible concentrations of biomass. The sludge recycle line from the bottom of the Secondary Sedimentation Tank (SST) to the inlet of the aeration tank has a flowrate of .To maintain equilibrium, the flowrate (in ) of sludge that is to be wasted from the system is ______ (in integer).
Correct answer
230 to 250
Solution
Given:
Inlet flowrate,
Aeration tank volume,
Biomass concentration in aeration tank,
BSRT,
Recycle flowrate,
Effluent biomass concentration, Assuming wasting is from the recycle line, let be the waste flowrate and be the biomass concentration in the recycle line.
Mass balance on biomass for the system:Since :Mass balance on biomass around the Secondary Sedimentation Tank (SST):Substitute into the equation:
Inlet flowrate,
Aeration tank volume,
Biomass concentration in aeration tank,
BSRT,
Recycle flowrate,
Effluent biomass concentration, Assuming wasting is from the recycle line, let be the waste flowrate and be the biomass concentration in the recycle line.
Mass balance on biomass for the system:Since :Mass balance on biomass around the Secondary Sedimentation Tank (SST):Substitute into the equation:
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