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MLSS given Sludge Recirculation Ratio Formula

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MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics). Check FAQs

X = \frac{α \cdot X R}{1 + α}

X - MLSS?α - Recirculation Ratio?X^R - MLSS in Returned or Wasted Sludge?

MLSS given Sludge Recirculation Ratio Example

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With units

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Here is how the MLSS given Sludge Recirculation Ratio equation looks like with Values.

Here is how the MLSS given Sludge Recirculation Ratio equation looks like with Units.

Here is how the MLSS given Sludge Recirculation Ratio equation looks like.

1200 = \frac{1.5 \cdot 2000}{1 + 1.5}

1200mg/L = \frac{1.5 \cdot 2000mg/L}{1 + 1.5}

1200 = \frac{1.5 \cdot 2000}{1 + 1.5}

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MLSS given Sludge Recirculation Ratio Solution

Follow our step by step solution on how to calculate MLSS given Sludge Recirculation Ratio?

FIRST Step Consider the formula

X = \frac{α \cdot X R}{1 + α}

Next Step Substitute values of Variables

∴

X = \frac{1.5 \cdot 2000mg/L}{1 + 1.5}

Next Step Prepare to Evaluate

∴

X = \frac{1.5 \cdot 2000}{1 + 1.5}

Next Step Evaluate

∴

X = 1.2kg/m³

LAST Step Convert to Output's Unit

∴

X = 1200mg/L

MLSS given Sludge Recirculation Ratio Formula Elements

Variables

MLSS

MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

Symbol: X

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find MLSS

Recirculation Ratio

Recirculation Ratio is the ratio of the RAS pumping rate to influent flow rate.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Recirculation Ratio

MLSS in Returned or Wasted Sludge

MLSS in Returned or Wasted Sludge is the mixed liquor suspended solids in returned sludge.

Symbol: X^R

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find MLSS in Returned or Wasted Sludge

Other formulas in Mixed Liquor Suspended Solid MLSS category

Go MLSS given Sludge Volume Index and Recirculation Ratio

X' = \frac{1}{SVI \cdot (1 + α)}

Go MLSS given SVI and Sewage Discharge

X' = \frac{\frac{(\frac{Q r''}{Qs'}) \cdot (10^{6})}{SVI}}{1 + (\frac{Q r''}{Qs'})}

How to Evaluate MLSS given Sludge Recirculation Ratio?

MLSS given Sludge Recirculation Ratio evaluator uses MLSS = (Recirculation Ratio*MLSS in Returned or Wasted Sludge)/(1+Recirculation Ratio) to evaluate the MLSS, The MLSS given Sludge Recirculation Ratio formula is defined as the calculation of mixed liquor suspended solids when we have prior information of other parameters used. MLSS is denoted by X symbol.

How to evaluate MLSS given Sludge Recirculation Ratio using this online evaluator? To use this online evaluator for MLSS given Sludge Recirculation Ratio, enter Recirculation Ratio (α) & MLSS in Returned or Wasted Sludge (X^R) and hit the calculate button.

FAQs on MLSS given Sludge Recirculation Ratio

What is the formula to find MLSS given Sludge Recirculation Ratio?

The formula of MLSS given Sludge Recirculation Ratio is expressed as MLSS = (Recirculation Ratio*MLSS in Returned or Wasted Sludge)/(1+Recirculation Ratio). Here is an example- 1.2E+6 = (1.5*2)/(1+1.5).

How to calculate MLSS given Sludge Recirculation Ratio?

With Recirculation Ratio (α) & MLSS in Returned or Wasted Sludge (X^R) we can find MLSS given Sludge Recirculation Ratio using the formula - MLSS = (Recirculation Ratio*MLSS in Returned or Wasted Sludge)/(1+Recirculation Ratio).

Can the MLSS given Sludge Recirculation Ratio be negative?

No, the MLSS given Sludge Recirculation Ratio, measured in Density cannot be negative.

Which unit is used to measure MLSS given Sludge Recirculation Ratio?

MLSS given Sludge Recirculation Ratio 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 given Sludge Recirculation Ratio can be measured.

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