Poorly treated municipal wastewater is continuously discharged directly into a lake. The discharge from the wastewater plant into the lake occurs at a flow of Qa = 1 m3/hr. The concentration of phosphate (PO4, M = 95 g/mol) in the discharge flow (C,x.d) that is decaying with first-order kinetics is 100 mg/L. The lake is a well-mixed water body of 100 m3. (Phosphate is naturally uptaken by algae with a first- order decay rate constant equal to 0.20/day.) The concentration of phosphate in the incoming river Cx.r) is 10 mg P/L. The incoming river flow rate is Q, = 10 m3/hr. a) Which of the following equations represent the correct mass balance eguation?
Poorly treated municipal wastewater is continuously discharged directly into a lake. The discharge from the wastewater plant into the lake occurs at a flow of Qa = 1 m3/hr. The concentration of phosphate (PO4, M = 95 g/mol) in the discharge flow (C,x.d) that is decaying with first-order kinetics is 100 mg/L. The lake is a well-mixed water body of 100 m3. (Phosphate is naturally uptaken by algae with a first- order decay rate constant equal to 0.20/day.) The concentration of phosphate in the incoming river Cx.r) is 10 mg P/L. The incoming river flow rate is Q, = 10 m3/hr. a) Which of the following equations represent the correct mass balance eguation?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Poorly treated municipal wastewater is continuously discharged directly into a lake. The discharge from
the wastewater plant into the lake occurs at a flow of Qd = 1 m3/hr. The concentration of phosphate
(PO43, M = 95 g/mol) in the discharge flow (Cxd) that is decaying with first-order kinetics is 100 mg/L.
The lake is a well-mixed water body of 100 m3. (Phosphate is naturally uptaken by algae with a first-
order decay rate constant equal to 0.20/day.) The concentration of phosphate in the incoming river
(Cx,r) is 10 mg P/L. The incoming river flow rate is Q, = 10 m3/hr.
%3D
a) Which of the following equations represent the correct mass balance equation?
O va = CxQr - CxdQd -QoutCxvout" kCx,outV
%3D
O 0 = Cx,Qr + CxdQd -QoutCxvout" kCx,outV
X,r
O 0 = CxQr + CxdQd -QoutCxvout- kV
O 0 = Cx,dQr + Cx,,Qd -QoutCxout- kCxoutV
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