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

Q_i - Influent BOD?Q_ub - Effluent BOD given Ultimate 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?Q_s - Sewage Discharge?

Influent BOD given Ultimate BOD Example

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

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

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

13.1942 = 11.91 + (\frac{(\frac{1.36}{2}) \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{10})

13.1942mg/L = 11.91mg/L + (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{10m³/s})

13.1942 = 11.91 + (\frac{(\frac{1.36}{2}) \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{10})

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Influent BOD given Ultimate BOD Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q i = 11.91mg/L + (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{10m³/s})

Next Step Convert Units

∴

Q i = 0.0119kg/m³ + (\frac{(\frac{0.0014kg/m³}{0.002kg/m³}) \cdot (2.9E-11kg/s + (1.42 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{10m³/s})

Next Step Prepare to Evaluate

∴

Q i = 0.0119 + (\frac{(\frac{0.0014}{0.002}) \cdot (2.9E-11 + (1.42 \cdot 9.5 \cdot 0.0014))}{10})

Next Step Evaluate

∴

Q i = 0.0131942480019676kg/m³

Next Step Convert to Output's Unit

∴

Q i = 13.1942480019676mg/L

LAST Step Rounding Answer

∴

Q i = 13.1942mg/L

Influent BOD given Ultimate BOD 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.

Formulas to find Influent BOD

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

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 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.

Formulas to find Sewage Discharge

Other formulas in Influent 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 Influent BOD given Ultimate BOD?

Influent BOD given Ultimate BOD evaluator uses 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) to evaluate the Influent BOD, Influent BOD given Ultimate BOD formula is defined as a measure of the biochemical oxygen demand of wastewater influent, which is essential in determining the oxygen requirement of the aeration tank, and is a critical parameter in wastewater treatment plant design and operation. Influent BOD is denoted by Q_i symbol.

How to evaluate Influent BOD given Ultimate BOD using this online evaluator? To use this online evaluator for Influent BOD given Ultimate BOD, enter Effluent BOD given Ultimate BOD (Q_ub), 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 Discharge (Q_s) and hit the calculate button.

FAQs on Influent BOD given Ultimate BOD

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

The formula of Influent BOD given Ultimate BOD is expressed as 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). Here is an example- 13836.37 = 0.01191+(((0.00136/0.002)*(2.89351851851852E-11+(1.42*9.5*0.0014)))/10).

How to calculate Influent BOD given Ultimate BOD?

With Effluent BOD given Ultimate BOD (Q_ub), 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 Discharge (Q_s) we can find Influent BOD given Ultimate BOD using the formula - 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).

Can the Influent BOD given Ultimate BOD be negative?

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

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

Influent 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 Influent BOD given Ultimate BOD can be measured.

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Influent BOD given Ultimate BOD Formula

Influent BOD given Ultimate BOD Example

Influent BOD given Ultimate BOD Solution

Influent BOD given Ultimate BOD Formula Elements

Other formulas in Influent BOD category

How to Evaluate Influent BOD given Ultimate BOD?

FAQs on Influent BOD given Ultimate BOD

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