Influent BOD given Mass of Wasted Activated Sludge Calculator

✖Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system.ⓘ Mass of Wasted Activated Sludge [M_ws]			+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%
✖Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.ⓘ Mixed Liquor Suspended Solids [X^']			+10% -10%
✖Maximum Yield Coefficient is 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 = (\frac{M ws + (K e \cdot V \cdot X')}{Y \cdot Q s}) + Q o

Example

11.19995 mg/L = (\frac{53626 mg + (2.99 d⁻¹ \cdot 9 m³ \cdot 1200 mg/L)}{0.50 \cdot 10 m³/s}) + 0.4 mg/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 Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD
Q_i = ((M_ws+(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 Wasted Activated Sludge - (Measured in Kilogram) - Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system.
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.
Mixed Liquor Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.
Maximum Yield Coefficient - Maximum Yield Coefficient is 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 Wasted Activated Sludge: 53626 Milligram --> 0.053626 Kilogram (Check conversion here)
Endogenous Respiration Rate Constant: 2.99 1 Per Day --> 3.46064814814815E-05 1 Per Second (Check conversion here)
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Mixed Liquor Suspended Solids: 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_ws+(K^e*V*X^'))/(Y*Q_s))+Q_o --> ((0.053626+(3.46064814814815E-05*9*1.2))/(0.5*10))+0.0004

Evaluating ... ...

Q_i = 0.01119995

STEP 3: Convert Result to Output's Unit

0.01119995 Kilogram per Cubic Meter -->11.19995 Milligram per Liter (Check conversion here)

FINAL ANSWER

11.19995 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

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Influent and Effluent BOD Calculators

Influent BOD given Mass of Wasted Activated Sludge

Go Influent BOD = ((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD

Effluent BOD given Mass of Wasted Activated Sludge

Go Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))

Influent BOD given Specific Substrate Utilization Rate Per Day

Go Influent BOD given Substrate Utilization Rate = ((Specific Substrate Utilization Rate*Volume of Tank*Mixed Liquor Suspended Solids)/Sewage Discharge)+Effluent BOD

Influent BOD given Mass of Wasted Activated Sludge Formula

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 Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD to calculate the Influent BOD, The Influent BOD given Mass of Wasted Activated Sludge formula is defined as the calculation of influent BOD when we have prior information of mass of wasted activated sludge. 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 Wasted Activated Sludge (M_ws), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), Mixed Liquor Suspended Solids (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 -> 11199.95 = ((0.053626+(3.46064814814815E-05*9*1.2))/(0.5*10))+0.0004.

FAQ

What is Influent BOD given Mass of Wasted Activated Sludge?

The Influent BOD given Mass of Wasted Activated Sludge formula is defined as the calculation of influent BOD when we have prior information of mass of wasted activated sludge and is represented as Q_i = ((M_ws+(K^e*V*X^'))/(Y*Q_s))+Q_o or Influent BOD = ((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD. Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system, 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, Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process, Maximum Yield Coefficient is 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?

The Influent BOD given Mass of Wasted Activated Sludge formula is defined as the calculation of influent BOD when we have prior information of mass of wasted activated sludge is calculated using Influent BOD = ((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD. To calculate Influent BOD given Mass of Wasted Activated Sludge, you need Mass of Wasted Activated Sludge (M_ws), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), Mixed Liquor Suspended Solids (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 Wasted Activated Sludge, Endogenous Respiration Rate Constant, Volume of Tank, Mixed Liquor Suspended Solids, 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.

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