Influent BOD given Mass of Wasted Activated Sludge Calculator

✖Mass of solids means the actuall weight of the solid particle present in the sewage.ⓘ Mass of Solids [M_s]			+10% -10%
✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant [K^e]			+10% -10%
✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%

✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD given Mass of Wasted Activated Sludge [Q_i]

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Formula

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Influent BOD given Mass of Wasted Activated Sludge

Formula

`"Q"_{"i"} = (("M"_{"s"}+("K"^{"e"}*"V"*"X"))/("Y"*"Q"_{"s"}))+"Q"_{"o"}`

Example

`"1.475mg/L"=(("5g"+("3d⁻¹"*"9m³"*"1200mg/L"))/("0.5"*"10m³/s"))+"0.4mg/L"`

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Influent BOD given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Influent BOD = ((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD
Q_i = ((M_s+(K^e*V*X))/(Y*Q_s))+Q_o
This formula uses 8 Variables

Variables Used

Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Mass of Solids - (Measured in Kilogram) - Mass of solids means the actuall weight of the solid particle present in the sewage.
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.

STEP 1: Convert Input(s) to Base Unit

Mass of Solids: 5 Gram --> 0.005 Kilogram (Check conversion here)
Endogenous Respiration Rate Constant: 3 1 Per Day --> 3.47222222222222E-05 1 Per Second (Check conversion here)
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_i = ((M_s+(K^e*V*X))/(Y*Q_s))+Q_o --> ((0.005+(3.47222222222222E-05*9*1.2))/(0.5*10))+0.0004

Evaluating ... ...

Q_i = 0.001475

STEP 3: Convert Result to Output's Unit

0.001475 Kilogram per Cubic Meter -->1.475 Milligram per Liter (Check conversion here)

FINAL ANSWER

1.475 Milligram per Liter <-- Influent BOD

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Influent and Effluent BOD Calculators

Influent BOD given Mass of Wasted Activated Sludge

Go Influent BOD = ((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD

Effluent BOD given Mass of Wasted Activated Sludge

Go Effluent BOD = Influent BOD-((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))

Influent BOD given Specific Substrate Utilisation Rate Per Day

Go Influent BOD = ((Specific Substrate Utilisation Rate*Volume of Tank*MLSS)/Sewage Discharge)+Effluent BOD

Influent BOD given Mass of Wasted Activated Sludge Formula

Influent BOD = ((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD
Q_i = ((M_s+(K^e*V*X))/(Y*Q_s))+Q_o

What is effluent BOD ?

BOD of wastewater effluents is used to indicate the short-term impact on the oxygen levels of the receiving water. BOD analysis is similar in function to chemical oxygen demand (COD) analysis, in that both measure the amount of organic compounds in water.

How to Calculate Influent BOD given Mass of Wasted Activated Sludge?

Influent BOD given Mass of Wasted Activated Sludge calculator uses Influent BOD = ((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD to calculate the Influent BOD, Influent BOD given Mass of Wasted Activated Sludge calculates influent BOD when we have prior information of other parameters used. Influent BOD is denoted by Q_i symbol.

How to calculate Influent BOD given Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Influent BOD given Mass of Wasted Activated Sludge, enter Mass of Solids (M_s), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), MLSS (X), Maximum Yield Coefficient (Y), Sewage Discharge (Q_s) & Effluent BOD (Q_o) and hit the calculate button. Here is how the Influent BOD given Mass of Wasted Activated Sludge calculation can be explained with given input values -> 1475 = ((0.005+(3.47222222222222E-05*9*1.2))/(0.5*10))+0.0004.

FAQ

What is Influent BOD given Mass of Wasted Activated Sludge?

Influent BOD given Mass of Wasted Activated Sludge calculates influent BOD when we have prior information of other parameters used and is represented as Q_i = ((M_s+(K^e*V*X))/(Y*Q_s))+Q_o or Influent BOD = ((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD. Mass of solids means the actuall weight of the solid particle present in the sewage, Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system, Volume of tank is defined as the capacity of flocculation and mixing tank, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed, Sewage discharge is the flow rate of sewage when it is being discharged in the river & Effluent BOD is the amount of BOD present in the outing sewage.

How to calculate Influent BOD given Mass of Wasted Activated Sludge?

Influent BOD given Mass of Wasted Activated Sludge calculates influent BOD when we have prior information of other parameters used is calculated using Influent BOD = ((Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD. To calculate Influent BOD given Mass of Wasted Activated Sludge, you need Mass of Solids (M_s), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), MLSS (X), Maximum Yield Coefficient (Y), Sewage Discharge (Q_s) & Effluent BOD (Q_o). With our tool, you need to enter the respective value for Mass of Solids, Endogenous Respiration Rate Constant, Volume of Tank, MLSS, Maximum Yield Coefficient, Sewage Discharge & Effluent BOD 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 Influent BOD?

In this formula, Influent BOD uses Mass of Solids, Endogenous Respiration Rate Constant, Volume of Tank, MLSS, Maximum Yield Coefficient, Sewage Discharge & Effluent BOD. We can use 1 other way(s) to calculate the same, which is/are as follows -

Influent BOD = ((Specific Substrate Utilisation Rate*Volume of Tank*MLSS)/Sewage Discharge)+Effluent BOD

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