Mixed Liquor Volatile Suspended Solids given Reactor Volume Calculator

✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖Average Daily Influent Flow Rate is the total discharge that comes in the reactor.ⓘ Average Daily Influent Flow Rate [Q_a]			+10% -10%
✖Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants.ⓘ MLVSS [X_a]			+10% -10%
✖Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.ⓘ Effluent Substrate Concentration [S]			+10% -10%
✖Reactor Volume refers to the physical volume of a reactor used in chemical processes.ⓘ Reactor Volume [V]			+10% -10%
✖Endogenous Decay Coefficient refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.ⓘ Endogenous Decay Coefficient [k_d]			+10% -10%

✖Mixed Liquor Volatile Suspended Solids refers to the measure of concentration of the organic matter in the mixed liquor.ⓘ Mixed Liquor Volatile Suspended Solids given Reactor Volume [X_a']

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Mixed Liquor Volatile Suspended Solids given Reactor Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mixed Liquor Volatile Suspended Solids = (Mean Cell Residence Time*Average Daily Influent Flow Rate*Maximum Yield Coefficient*(MLVSS-Effluent Substrate Concentration))/(Reactor Volume*(1+(Endogenous Decay Coefficient*Mean Cell Residence Time)))
X_a' = (θ_c*Q_a*Y*(X_a-S))/(V*(1+(k_d*θ_c)))
This formula uses 8 Variables

Variables Used

Mixed Liquor Volatile Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Volatile Suspended Solids refers to the measure of concentration of the organic matter in the mixed liquor.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
Average Daily Influent Flow Rate - (Measured in Cubic Meter per Second) - Average Daily Influent Flow Rate is the total discharge that comes in the reactor.
Maximum Yield Coefficient - Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.
MLVSS - (Measured in Kilogram per Cubic Meter) - MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants.
Effluent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.
Reactor Volume - (Measured in Cubic Meter) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.
Endogenous Decay Coefficient - (Measured in 1 Per Second) - Endogenous Decay Coefficient refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.

STEP 1: Convert Input(s) to Base Unit

Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
Average Daily Influent Flow Rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per Second (Check conversion here)
Maximum Yield Coefficient: 0.5 --> No Conversion Required
MLVSS: 2500 Milligram per Liter --> 2.5 Kilogram per Cubic Meter (Check conversion here)
Effluent Substrate Concentration: 15 Milligram per Liter --> 0.015 Kilogram per Cubic Meter (Check conversion here)
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
Endogenous Decay Coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_a' = (θ_c*Q_a*Y*(X_a-S))/(V*(1+(k_d*θ_c))) --> (604800*1.38888888888889E-05*0.5*(2.5-0.015))/(1000*(1+(5.78703703703704E-07*604800)))

Evaluating ... ...

X_a' = 0.00773111111111112

STEP 3: Convert Result to Output's Unit

0.00773111111111112 Kilogram per Cubic Meter -->7.73111111111112 Milligram per Liter (Check conversion here)

FINAL ANSWER

7.73111111111112 ≈ 7.731111 Milligram per Liter <-- Mixed Liquor Volatile Suspended Solids

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Mixed Liquor Volatile Suspended Solids given Reactor Volume

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

Mixed Liquor Suspended Solids given Wasting Rate from Return Line

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

MLSS given RAS Pumping Rate from Aeration Tank

LaTeX Go Mixed Liquor Suspended Solids = Sludge Concentration in Return Line*(Return Activated Sludge MLSS MLVSS+WAS Pumping Rate from Return Line mlss)/(Average Daily Influent Flow Rate+Return Activated Sludge MLSS MLVSS)

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

LaTeX Go Mixed Liquor Suspended Solids = Mean Cell Residence Time*WAS Pumping Rate from Return Line mlss*Sludge Concentration in Return Line/Reactor Volume

Mixed Liquor Volatile Suspended Solids given Reactor Volume Formula

LaTeX Go

What is Volume of Reactor?

Volume of Reactor is the total capacity of the reactor which is allowed in the reactor. It is calculated in cubic meters.

How do you process Sludge?

Step 1 – Sludge Thickening. The first step in the sewage sludge treatment plan is called thickening.
Step 2 – Sludge Digestion. After amassing all the solids from the sewage sludge begins the sludge digestion process
Step 3 – Dewatering
Step 4 – Disposal.

How to Calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume?

Mixed Liquor Volatile Suspended Solids given Reactor Volume calculator uses Mixed Liquor Volatile Suspended Solids = (Mean Cell Residence Time*Average Daily Influent Flow Rate*Maximum Yield Coefficient*(MLVSS-Effluent Substrate Concentration))/(Reactor Volume*(1+(Endogenous Decay Coefficient*Mean Cell Residence Time))) to calculate the Mixed Liquor Volatile Suspended Solids, The Mixed Liquor Volatile Suspended Solids given Reactor Volume formula is defined as the concentration of organic matter (biomass) in the mixed liquor of an aeration tank in a wastewater treatment plant. It represents the portion of the suspended solids in the mixed liquor that can be volatilized at high temperatures, typically at 550°C. Mixed Liquor Volatile Suspended Solids is denoted by X_a' symbol.

How to calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume using this online calculator? To use this online calculator for Mixed Liquor Volatile Suspended Solids given Reactor Volume, enter Mean Cell Residence Time (θ_c), Average Daily Influent Flow Rate (Q_a), Maximum Yield Coefficient (Y), MLVSS (X_a), Effluent Substrate Concentration (S), Reactor Volume (V) & Endogenous Decay Coefficient (k_d) and hit the calculate button. Here is how the Mixed Liquor Volatile Suspended Solids given Reactor Volume calculation can be explained with given input values -> 7731.111 = (604800*1.38888888888889E-05*0.5*(2.5-0.015))/(1000*(1+(5.78703703703704E-07*604800))).

FAQ

What is Mixed Liquor Volatile Suspended Solids given Reactor Volume?

The Mixed Liquor Volatile Suspended Solids given Reactor Volume formula is defined as the concentration of organic matter (biomass) in the mixed liquor of an aeration tank in a wastewater treatment plant. It represents the portion of the suspended solids in the mixed liquor that can be volatilized at high temperatures, typically at 550°C and is represented as X_a' = (θ_c*Q_a*Y*(X_a-S))/(V*(1+(k_d*θ_c))) or Mixed Liquor Volatile Suspended Solids = (Mean Cell Residence Time*Average Daily Influent Flow Rate*Maximum Yield Coefficient*(MLVSS-Effluent Substrate Concentration))/(Reactor Volume*(1+(Endogenous Decay Coefficient*Mean Cell Residence Time))). Mean Cell Residence Time is the average time that the sludge remains in the reactor, Average Daily Influent Flow Rate is the total discharge that comes in the reactor, Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed, MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants, Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant, Reactor Volume refers to the physical volume of a reactor used in chemical processes & Endogenous Decay Coefficient refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.

How to calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume?

The Mixed Liquor Volatile Suspended Solids given Reactor Volume formula is defined as the concentration of organic matter (biomass) in the mixed liquor of an aeration tank in a wastewater treatment plant. It represents the portion of the suspended solids in the mixed liquor that can be volatilized at high temperatures, typically at 550°C is calculated using Mixed Liquor Volatile Suspended Solids = (Mean Cell Residence Time*Average Daily Influent Flow Rate*Maximum Yield Coefficient*(MLVSS-Effluent Substrate Concentration))/(Reactor Volume*(1+(Endogenous Decay Coefficient*Mean Cell Residence Time))). To calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume, you need Mean Cell Residence Time (θ_c), Average Daily Influent Flow Rate (Q_a), Maximum Yield Coefficient (Y), MLVSS (X_a), Effluent Substrate Concentration (S), Reactor Volume (V) & Endogenous Decay Coefficient (k_d). With our tool, you need to enter the respective value for Mean Cell Residence Time, Average Daily Influent Flow Rate, Maximum Yield Coefficient, MLVSS, Effluent Substrate Concentration, Reactor Volume & Endogenous Decay Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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