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Concentration of Solids in Effluent given Wasting Rate from Return Line Formula

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Solid Concentration in Effluent is the total amount of solids that are present in the effluent. Check FAQs

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

X_e - Solid Concentration in Effluent?V - Reactor Volume?X - MLSS?θ_c - Mean Cell Residence Time?Q_e - Effluent Flow Rate?Q_w' - WAS Pumping Rate from Return Line?X_r - Sludge Concentration in Return Line?

Concentration of Solids in Effluent given Wasting Rate from Return Line Example

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Here is how the Concentration of Solids in Effluent given Wasting Rate from Return Line equation looks like with Values.

Here is how the Concentration of Solids in Effluent given Wasting Rate from Return Line equation looks like with Units.

Here is how the Concentration of Solids in Effluent given Wasting Rate from Return Line equation looks like.

60 = (1000 \cdot \frac{1200}{7 \cdot 1523.81}) - (400 \cdot \frac{200}{1523.81})

60mg/L = (1000m³ \cdot \frac{1200mg/L}{7d \cdot 1523.81m³/d}) - (400m³/d \cdot \frac{200mg/L}{1523.81m³/d})

60 = (1000 \cdot \frac{1200}{7 \cdot 1523.81}) - (400 \cdot \frac{200}{1523.81})

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Concentration of Solids in Effluent given Wasting Rate from Return Line Solution

Follow our step by step solution on how to calculate Concentration of Solids in Effluent given Wasting Rate from Return Line?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

X e = (1000m³ \cdot \frac{1200mg/L}{7d \cdot 1523.81m³/d}) - (400m³/d \cdot \frac{200mg/L}{1523.81m³/d})

Next Step Convert Units

∴

X e = (1000m³ \cdot \frac{1.2kg/m³}{604800s \cdot 0.0176m³/s}) - (0.0046m³/s \cdot \frac{0.2kg/m³}{0.0176m³/s})

Next Step Prepare to Evaluate

∴

X e = (1000 \cdot \frac{1.2}{604800 \cdot 0.0176}) - (0.0046 \cdot \frac{0.2}{0.0176})

Next Step Evaluate

∴

X e = 0.0599999812500059kg/m³

Next Step Convert to Output's Unit

∴

X e = 59.9999812500059mg/L

LAST Step Rounding Answer

∴

X e = 60mg/L

Concentration of Solids in Effluent given Wasting Rate from Return Line Formula Elements

Variables

Solid Concentration in Effluent

Solid Concentration in Effluent is the total amount of solids that are present in the effluent.

Symbol: X_e

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Solid Concentration in Effluent

Reactor Volume

Reactor Volume refers to the physical volume of a reactor used in chemical processes.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Reactor Volume

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

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

Effluent Flow Rate

Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Effluent Flow Rate

WAS Pumping Rate from Return Line

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

Symbol: Q_w'

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find WAS Pumping Rate from Return Line

Sludge Concentration in Return Line

Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.

Symbol: X_r

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Sludge Concentration in Return Line

Other formulas in Concentration of Solids category

Go Concentration of Sludge in Return Line given Wasting Rate from Return Line

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

Go Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank

X r = X \cdot \frac{Q a + RAS}{RAS + Q w'}

How to Evaluate Concentration of Solids in Effluent given Wasting Rate from Return Line?

Concentration of Solids in Effluent given Wasting Rate from Return Line evaluator uses Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate) to evaluate the Solid Concentration in Effluent, The Concentration of Solids in Effluent given Wasting Rate from Return Line formula is defined as the amount of solids that are present in the sewage after the treatment has been done. Solid Concentration in Effluent is denoted by X_e symbol.

How to evaluate Concentration of Solids in Effluent given Wasting Rate from Return Line using this online evaluator? To use this online evaluator for Concentration of Solids in Effluent given Wasting Rate from Return Line, enter Reactor Volume (V), MLSS (X), Mean Cell Residence Time (θ_c), Effluent Flow Rate (Q_e), WAS Pumping Rate from Return Line (Q_w') & Sludge Concentration in Return Line (X_r) and hit the calculate button.

FAQs on Concentration of Solids in Effluent given Wasting Rate from Return Line

What is the formula to find Concentration of Solids in Effluent given Wasting Rate from Return Line?

The formula of Concentration of Solids in Effluent given Wasting Rate from Return Line is expressed as Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate). Here is an example- 59999.98 = (1000*1.2/(604800*0.0176366898148148))-(0.00462962962962963*0.2/0.0176366898148148).

How to calculate Concentration of Solids in Effluent given Wasting Rate from Return Line?

With Reactor Volume (V), MLSS (X), Mean Cell Residence Time (θ_c), Effluent Flow Rate (Q_e), WAS Pumping Rate from Return Line (Q_w') & Sludge Concentration in Return Line (X_r) we can find Concentration of Solids in Effluent given Wasting Rate from Return Line using the formula - Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate).

Can the Concentration of Solids in Effluent given Wasting Rate from Return Line be negative?

No, the Concentration of Solids in Effluent given Wasting Rate from Return Line, measured in Density cannot be negative.

Which unit is used to measure Concentration of Solids in Effluent given Wasting Rate from Return Line?

Concentration of Solids in Effluent given Wasting Rate from Return Line 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 Concentration of Solids in Effluent given Wasting Rate from Return Line can be measured.

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Concentration of Solids in Effluent given Wasting Rate from Return Line Formula

Concentration of Solids in Effluent given Wasting Rate from Return Line Example

Concentration of Solids in Effluent given Wasting Rate from Return Line Solution

Concentration of Solids in Effluent given Wasting Rate from Return Line Formula Elements

Other formulas in Concentration of Solids category

How to Evaluate Concentration of Solids in Effluent given Wasting Rate from Return Line?

FAQs on Concentration of Solids in Effluent given Wasting Rate from Return Line

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