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1

Influent BOD given Oxygen Required in Aeration Tank Formula

2

GoInfluent BOD given Oxygen Demand of Biomass Formula

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GoInfluent BOD given Ultimate BOD Formula

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Influent BOD is the total amount of BOD which is present in the incoming sewage. Check FAQs

Q i = Q o + (\frac{f \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q s})

Q_i - Influent BOD?Q_o - Effluent BOD given Oxygen Required?f - Ratio of BOD to Ultimate BOD?O₂ - Theoretical Oxygen Requirement?Q_w - Volume of Wasted Sludge per day?X^R - MLSS in Returned or Wasted Sludge?Q_s - Sewage Discharge?

Influent BOD given Oxygen Required in Aeration Tank Example

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Here is how the Influent BOD given Oxygen Required in Aeration Tank equation looks like with Values.

Here is how the Influent BOD given Oxygen Required in Aeration Tank equation looks like with Units.

Here is how the Influent BOD given Oxygen Required in Aeration Tank equation looks like.

15.1058 = 9.44 + (\frac{3 \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{10})

15.1058mg/L = 9.44mg/L + (\frac{3 \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{10m³/s})

15.1058 = 9.44 + (\frac{3 \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{10})

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Influent BOD given Oxygen Required in Aeration Tank Solution

Follow our step by step solution on how to calculate Influent BOD given Oxygen Required in Aeration Tank?

FIRST Step Consider the formula

Q i = Q o + (\frac{f \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q s})

Next Step Substitute values of Variables

∴

Q i = 9.44mg/L + (\frac{3 \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{10m³/s})

Next Step Convert Units

∴

Q i = 0.0094kg/m³ + (\frac{3 \cdot (2.9E-11kg/s + (1.42 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{10m³/s})

Next Step Prepare to Evaluate

∴

Q i = 0.0094 + (\frac{3 \cdot (2.9E-11 + (1.42 \cdot 9.5 \cdot 0.0014))}{10})

Next Step Evaluate

∴

Q i = 0.0151058000086806kg/m³

Next Step Convert to Output's Unit

∴

Q i = 15.1058000086806mg/L

LAST Step Rounding Answer

∴

Q i = 15.1058mg/L

Influent BOD given Oxygen Required in Aeration Tank Formula Elements

Variables

Influent BOD

Influent BOD is the total amount of BOD which is present in the incoming sewage.

Symbol: Q_i

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Effluent BOD given Oxygen Required

Effluent BOD given Oxygen Required in Aeration Tank is the amount of biodegradable organic matter in the treated wastewater.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Ratio of BOD to Ultimate BOD

Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Theoretical Oxygen Requirement

Theoretical Oxygen Requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.

Symbol: O₂

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Volume of Wasted Sludge per day

Volume of Wasted Sludge per day is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

MLSS in Returned or Wasted Sludge

MLSS in Returned or Wasted Sludge is the mixed liquor suspended solids in returned sludge in terms of mg per liter.

Symbol: X^R

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Sewage Discharge

Sewage Discharge is the flow rate of sewage when it is being discharged in the river.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Credits

Creator Image

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verifier Image

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other Formulas to find Influent BOD

Go Influent BOD given Oxygen Demand of Biomass

Q i = Q b + (\frac{f \cdot (O 2 + (D O2 \cdot Q w \cdot X R))}{Q s})

Go Influent BOD given Ultimate BOD

Q i = Q ub + (\frac{(\frac{BOD5}{BOD u}) \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q s})

How to Evaluate Influent BOD given Oxygen Required in Aeration Tank?

Influent BOD given Oxygen Required in Aeration Tank evaluator uses Influent BOD = Effluent BOD given Oxygen Required+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge) to evaluate the Influent BOD, The Influent BOD given Oxygen Required in Aeration Tank formula is defined as the calculation of influent BOD when we have prior information of oxygen required in aeration tank. Influent BOD is denoted by Q_i symbol.

How to evaluate Influent BOD given Oxygen Required in Aeration Tank using this online evaluator? To use this online evaluator for Influent BOD given Oxygen Required in Aeration Tank, enter Effluent BOD given Oxygen Required (Q_o), Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R) & Sewage Discharge (Q_s) and hit the calculate button.

FAQs on Influent BOD given Oxygen Required in Aeration Tank

What is the formula to find Influent BOD given Oxygen Required in Aeration Tank?

The formula of Influent BOD given Oxygen Required in Aeration Tank is expressed as Influent BOD = Effluent BOD given Oxygen Required+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge). Here is an example- 13199.8 = 0.00944+((3*(2.89351851851852E-11+(1.42*9.5*0.0014)))/10).

How to calculate Influent BOD given Oxygen Required in Aeration Tank?

With Effluent BOD given Oxygen Required (Q_o), Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R) & Sewage Discharge (Q_s) we can find Influent BOD given Oxygen Required in Aeration Tank using the formula - Influent BOD = Effluent BOD given Oxygen Required+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge).

What are the other ways to Calculate Influent BOD?

Here are the different ways to Calculate Influent BOD-

Influent BOD=Effluent BOD given Oxygen Demand of Biomass+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Influent BOD=Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Influent BOD=Effluent BOD given Oxygen Demand and Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)

Can the Influent BOD given Oxygen Required in Aeration Tank be negative?

No, the Influent BOD given Oxygen Required in Aeration Tank, measured in Density cannot be negative.

Which unit is used to measure Influent BOD given Oxygen Required in Aeration Tank?

Influent BOD given Oxygen Required in Aeration Tank is usually measured using the Milligram per Liter[mg/L] for Density. Kilogram per Cubic Meter[mg/L], Kilogram per Cubic Centimeter[mg/L], Gram per Cubic Meter[mg/L] are the few other units in which Influent BOD given Oxygen Required in Aeration Tank can be measured.

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