Wasting Rate from Return Line when Concentration of Solid in Effluent is Low Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)
θc = (V*X)/(Qw'*Xr)
This formula uses 5 Variables
Variables Used
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
Reactor Volume - (Measured in Cubic Meter) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
WAS Pumping Rate from Return Line - (Measured in Cubic Meter per Second) - WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.
Sludge Concentration in Return Line - (Measured in Kilogram per Cubic Meter) - Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.
STEP 1: Convert Input(s) to Base Unit
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion ​here)
WAS Pumping Rate from Return Line: 400 Cubic Meter per Day --> 0.00462962962962963 Cubic Meter per Second (Check conversion ​here)
Sludge Concentration in Return Line: 200 Milligram per Liter --> 0.2 Kilogram per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θc = (V*X)/(Qw'*Xr) --> (1000*1.2)/(0.00462962962962963*0.2)
Evaluating ... ...
θc = 1296000
STEP 3: Convert Result to Output's Unit
1296000 Second -->15 Day (Check conversion ​here)
FINAL ANSWER
15 Day <-- Mean Cell Residence Time
(Calculation completed in 00.004 seconds)

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Wasting Rate Calculators

Wasting Rate from Return Line
​ LaTeX ​ Go Mean Cell Residence Time = (Reactor Volume*MLSS)/((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))
Wasting Rate from Return Line when Concentration of Solid in Effluent is Low
​ LaTeX ​ Go Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)

Wasting Rate from Return Line when Concentration of Solid in Effluent is Low Formula

​LaTeX ​Go
Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)
θc = (V*X)/(Qw'*Xr)

What is Wasting Rate?

Wasting Rate from return line is the time required to waste sludge from the return sludge line because return activated sludge is more concentrated and requires smaller waste sludge pumps.

How to Calculate Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculator uses Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line) to calculate the Mean Cell Residence Time, The Wasting Rate from Return Line when Concentration of Solid in Effluent is Low formula is defined as the rate at which biomass (microorganisms) is removed from a bioreactor to maintain a desired level of biomass concentration. This process is crucial for the efficient functioning of the treatment plant. Mean Cell Residence Time is denoted by θc symbol.

How to calculate Wasting Rate from Return Line when Concentration of Solid in Effluent is Low using this online calculator? To use this online calculator for Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, enter Reactor Volume (V), MLSS (X), WAS Pumping Rate from Return Line (Qw') & Sludge Concentration in Return Line (Xr) and hit the calculate button. Here is how the Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculation can be explained with given input values -> 0.000174 = (1000*1.2)/(0.00462962962962963*0.2).

FAQ

What is Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?
The Wasting Rate from Return Line when Concentration of Solid in Effluent is Low formula is defined as the rate at which biomass (microorganisms) is removed from a bioreactor to maintain a desired level of biomass concentration. This process is crucial for the efficient functioning of the treatment plant and is represented as θc = (V*X)/(Qw'*Xr) or Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line). Reactor Volume refers to the physical volume of a reactor used in chemical processes, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line & Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.
How to calculate Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?
The Wasting Rate from Return Line when Concentration of Solid in Effluent is Low formula is defined as the rate at which biomass (microorganisms) is removed from a bioreactor to maintain a desired level of biomass concentration. This process is crucial for the efficient functioning of the treatment plant is calculated using Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line). To calculate Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, you need Reactor Volume (V), MLSS (X), WAS Pumping Rate from Return Line (Qw') & Sludge Concentration in Return Line (Xr). With our tool, you need to enter the respective value for Reactor Volume, MLSS, WAS Pumping Rate from Return Line & Sludge Concentration in Return Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean Cell Residence Time?
In this formula, Mean Cell Residence Time uses Reactor Volume, MLSS, WAS Pumping Rate from Return Line & Sludge Concentration in Return Line. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Cell Residence Time = (Reactor Volume*MLSS)/((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))
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