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Mixed Liquor Suspended Solids given Wasting Rate from Return Line Formula

GoMLSS using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low Formula

GoMLSS given RAS Pumping Rate from Aeration Tank Formula

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Mixed Liquor Suspended Solids refers to the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process. Check FAQs

X' = θ c \cdot \frac{(Q \cdot X r) + (Q e \cdot X e)}{V}

X^' - Mixed Liquor Suspended Solids?θ_c - Mean Cell Residence Time?Q - WAS Pumping Rate from Return Line mlss?X_r - Sludge Concentration in Return Line?Q_e - Effluent Flow Rate?X_e - Solid Concentration in Effluent?V - Reactor Volume?

Mixed Liquor Suspended Solids given Wasting Rate from Return Line Example

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Here is how the Mixed Liquor Suspended Solids given Wasting Rate from Return Line equation looks like with Values.

Here is how the Mixed Liquor Suspended Solids given Wasting Rate from Return Line equation looks like with Units.

Here is how the Mixed Liquor Suspended Solids given Wasting Rate from Return Line equation looks like.

1060.0002 = 7 \cdot \frac{(300 \cdot 200) + (1523.81 \cdot 60)}{1000}

1060.0002mg/L = 7d \cdot \frac{(300m³/d \cdot 200mg/L) + (1523.81m³/d \cdot 60mg/L)}{1000m³}

1060.0002 = 7 \cdot \frac{(300 \cdot 200) + (1523.81 \cdot 60)}{1000}

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Mixed Liquor Suspended Solids given Wasting Rate from Return Line Solution

Follow our step by step solution on how to calculate Mixed Liquor Suspended Solids given Wasting Rate from Return Line?

FIRST Step Consider the formula

X' = θ c \cdot \frac{(Q \cdot X r) + (Q e \cdot X e)}{V}

Next Step Substitute values of Variables

∴

X' = 7d \cdot \frac{(300m³/d \cdot 200mg/L) + (1523.81m³/d \cdot 60mg/L)}{1000m³}

Next Step Convert Units

∴

X' = 604800s \cdot \frac{(0.0035m³/s \cdot 0.2kg/m³) + (0.0176m³/s \cdot 0.06kg/m³)}{1000m³}

Next Step Prepare to Evaluate

∴

X' = 604800 \cdot \frac{(0.0035 \cdot 0.2) + (0.0176 \cdot 0.06)}{1000}

Next Step Evaluate

∴

X' = 1.0600002kg/m³

LAST Step Convert to Output's Unit

∴

X' = 1060.0002mg/L

Mixed Liquor Suspended Solids given Wasting Rate from Return Line Formula Elements

Variables

Mixed Liquor Suspended Solids

Mixed Liquor Suspended Solids refers to the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

Symbol: X^'

Measurement: DensityUnit: mg/L

Note: Value should be less than 6500.

Formulas to find Mixed Liquor Suspended Solids

Mean Cell Residence Time

Mean Cell Residence Time is the average time that the sludge remains in the reactor.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be between 5 to 15.

Formulas to find Mean Cell Residence Time

WAS Pumping Rate from Return Line mlss

WAS Pumping Rate from Return Line mlss is the flow rate of waste sludge from the return line.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/d