Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low Calculator

✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.ⓘ WAS Pumping Rate from Return Line [Q_w']			+10% -10%
✖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.ⓘ Sludge Concentration in Return Line [X_r]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%

✖Reactor Volume refers to the physical volume of a reactor used in chemical processes.ⓘ Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low [V]

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

STEP 0: Pre-Calculation Summary

Formula Used

Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS
V = θ_c*Q_w'*X_r/X
This formula uses 5 Variables

Variables Used

Reactor Volume - (Measured in Cubic Meter) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
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.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

STEP 1: Convert Input(s) to Base Unit

Mean Cell Residence Time: 7 Day --> 604800 Second (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)
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = θ_c*Q_w'*X_r/X --> 604800*0.00462962962962963*0.2/1.2

Evaluating ... ...

V = 466.666666666667

STEP 3: Convert Result to Output's Unit

466.666666666667 Cubic Meter --> No Conversion Required

FINAL ANSWER

466.666666666667 ≈ 466.6667 Cubic Meter <-- Reactor Volume

(Calculation completed in 00.004 seconds)

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< Volume of Reactor Calculators

Volume of Reactor

LaTeX Go Reactor Volume = (Mean Cell Residence Time*Maximum Yield Coefficient*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))/(MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient)))

Volume of Reactor given Wasting Rate from Return Line

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

Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low

LaTeX Go Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS

Volume of Reactor given Hydraulic Retention Time

LaTeX Go Reactor Volume = Hydraulic Retention Time*Average Daily Influent Flow Rate

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

LaTeX Go

Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS
V = θ_c*Q_w'*X_r/X

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 Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculator uses Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS to calculate the Reactor Volume, The Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low formula is defined as the capacity of the reactor to treat wastewater and maintain the desired hydraulic retention time (HRT) and solids retention time (SRT). Reactor Volume is denoted by V symbol.

How to calculate Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low using this online calculator? To use this online calculator for Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, enter Mean Cell Residence Time (θ_c), WAS Pumping Rate from Return Line (Q_w'), Sludge Concentration in Return Line (X_r) & MLSS (X) and hit the calculate button. Here is how the Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculation can be explained with given input values -> 466.6667 = 604800*0.00462962962962963*0.2/1.2.

FAQ

What is Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

The Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low formula is defined as the capacity of the reactor to treat wastewater and maintain the desired hydraulic retention time (HRT) and solids retention time (SRT) and is represented as V = θ_c*Q_w'*X_r/X or Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS. Mean Cell Residence Time is the average time that the sludge remains in the reactor, 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 & MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

How to calculate Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

The Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low formula is defined as the capacity of the reactor to treat wastewater and maintain the desired hydraulic retention time (HRT) and solids retention time (SRT) is calculated using Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS. To calculate Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, you need Mean Cell Residence Time (θ_c), WAS Pumping Rate from Return Line (Q_w'), Sludge Concentration in Return Line (X_r) & MLSS (X). With our tool, you need to enter the respective value for Mean Cell Residence Time, WAS Pumping Rate from Return Line, Sludge Concentration in Return Line & MLSS 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 Reactor Volume?

In this formula, Reactor Volume uses Mean Cell Residence Time, WAS Pumping Rate from Return Line, Sludge Concentration in Return Line & MLSS. We can use 3 other way(s) to calculate the same, which is/are as follows -

Reactor Volume = (Mean Cell Residence Time*Maximum Yield Coefficient*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))/(MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient)))
Reactor Volume = Hydraulic Retention Time*Average Daily Influent Flow Rate
Reactor Volume = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS

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