A shallow pond has a volume of 1000 m3. The inflow and outflow to the pond have constant flow rates of Q = 1m3s-1. Excavation near the pond causes a slug of sediment-laden water to enter the pond directly at the inlet. The slug volume is V1 = 1 m3 and the slug’s sediment concentration is C1=10 gm-3. As the sediment moves through the pond it is lost through deposition to the bed following a first-order reaction with rate constant k=10-3 s-1. You withdraw water for your home use at the outflow. ssume there is sufficient circulation in the pond that it acts as a perfectly stirred reactor. Describe the sediment load observed in your drinking water by answering the following questions. a. What is the peak concentration of sediment (gm-3) in your drinking water? b. At what time after the release does the peak concentration reach the outlet? c. If the detection limit is 0.5 mg/m3, for how long would you find sediment in your drinking water? Hint: Solve for C(t) from the conservation of mass eqn. where sediment deposition is an internal sink.
A shallow pond has a volume of 1000 m3. The inflow and outflow to the pond have constant
flow rates of Q = 1m3s-1. Excavation near the pond causes a slug of sediment-laden water to
enter the pond directly at the inlet. The slug volume is V1 = 1 m3 and the slug’s sediment
concentration is C1=10 gm-3. As the sediment moves through the pond it is lost through
deposition to the bed following a first-order reaction with rate constant k=10-3 s-1. You
withdraw water for your home use at the outflow.
ssume there is sufficient circulation in the pond that it acts as a perfectly
stirred reactor. Describe the sediment load observed in your drinking water by answering the
following questions.
a. What is the peak concentration of sediment (gm-3) in your drinking water?
b. At what time after the release does the peak concentration reach the outlet?
c. If the detection limit is 0.5 mg/m3, for how long would you find sediment in your
drinking water? Hint: Solve for C(t) from the conservation of mass eqn. where
sediment deposition is an internal sink.
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