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Effluent BOD given Ultimate BOD Formula

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Effluent BOD given Ultimate BOD is a measure of the amount of oxygen that microorganisms will consume while decomposing organic matter in the effluent over a specific period. Check FAQs

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

Q_ub - Effluent BOD given Ultimate BOD?Q_i - Influent BOD?BOD5 - 5 Days BOD?BOD^u - Ultimate BOD?O₂ - Theoretical Oxygen Requirement?Q_w - Volume of Wasted Sludge per day?X^R - MLSS in Returned or Wasted Sludge?SF - Sewage Flowrate?

Effluent BOD given Ultimate BOD Example

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Here is how the Effluent BOD given Ultimate BOD equation looks like with Values.

Here is how the Effluent BOD given Ultimate BOD equation looks like with Units.

Here is how the Effluent BOD given Ultimate BOD equation looks like.

12.3438 = 13.2 - (\frac{(\frac{1.36}{2}) \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{15})

12.3438mg/L = 13.2mg/L - (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{15m³/s})

12.3438 = 13.2 - (\frac{(\frac{1.36}{2}) \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{15})

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Effluent BOD given Ultimate BOD Solution

Follow our step by step solution on how to calculate Effluent BOD given Ultimate BOD?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q ub = 13.2mg/L - (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{15m³/s})

Next Step Convert Units

∴

Q ub = 0.0132kg/m³ - (\frac{(\frac{0.0014kg/m³}{0.002kg/m³}) \cdot (2.9E-11kg/s + (1.42 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{15m³/s})

Next Step Prepare to Evaluate

∴

Q ub = 0.0132 - (\frac{(\frac{0.0014}{0.002}) \cdot (2.9E-11 + (1.42 \cdot 9.5 \cdot 0.0014))}{15})

Next Step Evaluate

∴

Q ub = 0.0123438346653549kg/m³

Next Step Convert to Output's Unit

∴

Q ub = 12.3438346653549mg/L

LAST Step Rounding Answer

∴

Q ub = 12.3438mg/L

Effluent BOD given Ultimate BOD Formula Elements

Variables

Effluent BOD given Ultimate BOD

Effluent BOD given Ultimate BOD is a measure of the amount of oxygen that microorganisms will consume while decomposing organic matter in the effluent over a specific period.

Symbol: Q_ub

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD given Ultimate BOD

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.

Formulas to find Influent BOD

5 Days BOD

5 Days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C.

Symbol: BOD5

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find 5 Days BOD

Ultimate BOD

Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time.

Symbol: BOD^u

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Ultimate BOD

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.

Formulas to find Theoretical Oxygen Requirement

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.

Formulas to find Volume of Wasted Sludge per day

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.

Formulas to find MLSS in Returned or Wasted Sludge

Sewage Flowrate

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

Symbol: SF

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Flowrate

Other formulas in Effluent BOD category

Go Ratio of BOD to Ultimate BOD

f = \frac{BOD 5}{BOD u}

Go BOD5 given Oxygen Required in Aeration Tank

BOD 5a = BOD u \cdot \frac{Q s \cdot (Q i - Q)}{O 2 + (1.42 \cdot Q w \cdot X R)}

How to Evaluate Effluent BOD given Ultimate BOD?

Effluent BOD given Ultimate BOD evaluator uses Effluent BOD given Ultimate BOD = Influent BOD-(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Flowrate) to evaluate the Effluent BOD given Ultimate BOD, Effluent BOD given Ultimate BOD formula is defined as a measure of the biochemical oxygen demand of wastewater effluent, which is the amount of oxygen required by microorganisms to break down organic matter in the effluent, and is an important parameter in designing and operating wastewater treatment plants. Effluent BOD given Ultimate BOD is denoted by Q_ub symbol.

How to evaluate Effluent BOD given Ultimate BOD using this online evaluator? To use this online evaluator for Effluent BOD given Ultimate BOD, enter Influent BOD (Q_i), 5 Days BOD (BOD5), Ultimate BOD (BOD^u), Theoretical Oxygen Requirement (O₂), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R) & Sewage Flowrate (SF) and hit the calculate button.

FAQs on Effluent BOD given Ultimate BOD

What is the formula to find Effluent BOD given Ultimate BOD?

The formula of Effluent BOD given Ultimate BOD is expressed as Effluent BOD given Ultimate BOD = Influent BOD-(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Flowrate). Here is an example- 11915.75 = 0.0132-(((0.00136/0.002)*(2.89351851851852E-11+(1.42*9.5*0.0014)))/15).

How to calculate Effluent BOD given Ultimate BOD?

With Influent BOD (Q_i), 5 Days BOD (BOD5), Ultimate BOD (BOD^u), Theoretical Oxygen Requirement (O₂), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R) & Sewage Flowrate (SF) we can find Effluent BOD given Ultimate BOD using the formula - Effluent BOD given Ultimate BOD = Influent BOD-(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Flowrate).

Can the Effluent BOD given Ultimate BOD be negative?

No, the Effluent BOD given Ultimate BOD, measured in Density cannot be negative.

Which unit is used to measure Effluent BOD given Ultimate BOD?

Effluent BOD given Ultimate BOD 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 Effluent BOD given Ultimate BOD can be measured.

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Effluent BOD given Ultimate BOD Formula

Effluent BOD given Ultimate BOD Example

Effluent BOD given Ultimate BOD Solution

Effluent BOD given Ultimate BOD Formula Elements

Other formulas in Effluent BOD category

How to Evaluate Effluent BOD given Ultimate BOD?

FAQs on Effluent BOD given Ultimate BOD

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