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MLSS Returned given Ultimate BOD Formula

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GoMLSS Returned given Oxygen Required in Aeration Tank Formula

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GoMLSS Returned given Oxygen Demand of Biomass Formula

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

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

X^R - MLSS in Returned or Wasted Sludge?Q_s - Sewage Discharge?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?

MLSS Returned given Ultimate BOD Example

With values

With units

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

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

Here is how the MLSS Returned given Ultimate BOD equation looks like.

1.4063 = \frac{(\frac{10 \cdot (13.2 - 11.91)}{\frac{1.36}{2}}) - 2.5}{1.42 \cdot 9.5}

1.4063mg/L = \frac{(\frac{10m³/s \cdot (13.2mg/L - 11.91mg/L)}{\frac{1.36mg/L}{2mg/L}}) - 2.5mg/d}{1.42 \cdot 9.5m³/s}

1.4063 = \frac{(\frac{10 \cdot (13.2 - 11.91)}{\frac{1.36}{2}}) - 2.5}{1.42 \cdot 9.5}

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MLSS Returned given Ultimate BOD Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

X R = \frac{(\frac{10m³/s \cdot (13.2mg/L - 11.91mg/L)}{\frac{1.36mg/L}{2mg/L}}) - 2.5mg/d}{1.42 \cdot 9.5m³/s}

Next Step Convert Units

∴

X R = \frac{(\frac{10m³/s \cdot (0.0132kg/m³ - 0.0119kg/m³)}{\frac{0.0014kg/m³}{0.002kg/m³}}) - 2.9E-11kg/s}{1.42 \cdot 9.5m³/s}

Next Step Prepare to Evaluate

∴

X R = \frac{(\frac{10 \cdot (0.0132 - 0.0119)}{\frac{0.0014}{0.002}}) - 2.9E-11}{1.42 \cdot 9.5}

Next Step Evaluate

∴

X R = 0.00140627043783239kg/m³

Next Step Convert to Output's Unit

∴

X R = 1.40627043783239mg/L

LAST Step Rounding Answer

∴

X R = 1.4063mg/L

MLSS Returned given Ultimate BOD Formula Elements

Variables

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.

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 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.

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.

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.

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.

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 MLSS in Returned or Wasted Sludge

Go MLSS Returned given Oxygen Required in Aeration Tank

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

Go MLSS Returned given Oxygen Demand of Biomass

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

How to Evaluate MLSS Returned given Ultimate BOD?

MLSS Returned given Ultimate BOD evaluator uses 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) to evaluate the MLSS in Returned or Wasted Sludge, The MLSS Returned given Ultimate BOD formula is defined as the calculation of value of MLSS returned when we have prior information of =ultimate BOD. MLSS in Returned or Wasted Sludge is denoted by X^R symbol.

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

FAQs on MLSS Returned given Ultimate BOD

What is the formula to find MLSS Returned given Ultimate BOD?

The formula of MLSS Returned given Ultimate BOD is expressed as 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). Here is an example- 1406.27 = (((10*(0.0132-0.01191))/(0.00136/0.002))-2.89351851851852E-11)/(1.42*9.5).

How to calculate MLSS Returned given Ultimate BOD?

With Sewage Discharge (Q_s), Influent BOD (Q_i), 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) we can find MLSS Returned given Ultimate BOD using the formula - 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).

What are the other ways to Calculate MLSS in Returned or Wasted Sludge?

Here are the different ways to Calculate MLSS in Returned or Wasted Sludge-

MLSS in Returned or Wasted Sludge=(((Sewage Discharge*(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*(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 Oxygen Demand and Ultimate BOD))/(5 Days BOD/Ultimate BOD))-Theoretical Oxygen Requirement)/(Oxygen Demand of Biomass*Volume of Wasted Sludge per day)

Can the MLSS Returned given Ultimate BOD be negative?

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

Which unit is used to measure MLSS Returned given Ultimate BOD?

MLSS Returned 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 MLSS Returned given Ultimate BOD can be measured.

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