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Sewage Inflow Per Day given Mass of Wasted Activated Sludge Formula

GoSewage Inflow Per Day given Mass of Solids Removed Formula

GoSewage Inflow Per Day given Total Solids Removed Formula

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Sewage Discharge is the flow rate of sewage when it is being discharged in the river. Check FAQs

Q s = \frac{M ws + (K e \cdot V \cdot X')}{Y \cdot (Q i - Q o)}

Q_s - Sewage Discharge?M_ws - Mass of Wasted Activated Sludge?K^e - Endogenous Respiration Rate Constant?V - Volume of Tank?X^' - Mixed Liquor Suspended Solids?Y - Maximum Yield Coefficient?Q_i - Influent BOD?Q_o - Effluent BOD?

Sewage Inflow Per Day given Mass of Wasted Activated Sludge Example

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Here is how the Sewage Inflow Per Day given Mass of Wasted Activated Sludge equation looks like with Values.

Here is how the Sewage Inflow Per Day given Mass of Wasted Activated Sludge equation looks like with Units.

Here is how the Sewage Inflow Per Day given Mass of Wasted Activated Sludge equation looks like.

10 = \frac{53626 + (2.99 \cdot 9 \cdot 1200)}{0.5 \cdot (11.2 - 0.4)}

10m³/s = \frac{53626mg + (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)}{0.5 \cdot (11.2mg/L - 0.4mg/L)}

10 = \frac{53626 + (2.99 \cdot 9 \cdot 1200)}{0.5 \cdot (11.2 - 0.4)}

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Sewage Inflow Per Day given Mass of Wasted Activated Sludge Solution

Follow our step by step solution on how to calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

FIRST Step Consider the formula

Q s = \frac{M ws + (K e \cdot V \cdot X')}{Y \cdot (Q i - Q o)}

Next Step Substitute values of Variables

∴

Q s = \frac{53626mg + (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)}{0.5 \cdot (11.2mg/L - 0.4mg/L)}

Next Step Convert Units

∴

Q s = \frac{0.0536kg + (3.5E-5s⁻¹ \cdot 9m³ \cdot 1.2kg/m³)}{0.5 \cdot (0.0112kg/m³ - 0.0004kg/m³)}

Next Step Prepare to Evaluate

∴

Q s = \frac{0.0536 + (3.5E-5 \cdot 9 \cdot 1.2)}{0.5 \cdot (0.0112 - 0.0004)}

Next Step Evaluate

∴

Q s = 9.9999537037037m³/s

LAST Step Rounding Answer

∴

Q s = 10m³/s

Sewage Inflow Per Day given Mass of Wasted Activated Sludge Formula Elements

Variables

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

Mass of Wasted Activated Sludge

Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system.

Symbol: M_ws

Measurement: WeightUnit: mg

Note: Value should be greater than 0.

Formulas to find Mass of Wasted Activated Sludge

Endogenous Respiration Rate Constant

Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

Symbol: K^e

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Endogenous Respiration Rate Constant

Volume of Tank

Volume of Tank is defined as the capacity of flocculation and mixing tank.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tank

Mixed Liquor Suspended Solids

Mixed Liquor Suspended Solids is 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 between 1000 to 6500.

Formulas to find Mixed Liquor Suspended Solids

Maximum Yield Coefficient

Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be between 0.4 to 0.8.

Formulas to find Maximum Yield Coefficient

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

Effluent BOD is the amount of BOD present in the outing sewage.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD

Other Formulas to find Sewage Discharge

Go Sewage Inflow Per Day given Mass of Solids Removed

Q s = (\frac{M s}{X E}) + Q w

Go Sewage Inflow Per Day given Total Solids Removed

Q s = \frac{M' - (Q w \cdot (X R - X E))}{X E}

How to Evaluate Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

Sewage Inflow Per Day given Mass of Wasted Activated Sludge evaluator uses Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)) to evaluate the Sewage Discharge, The Sewage Inflow Per Day given Mass of Wasted Activated Sludge formula is defined as the calculation of sewage inflow per day when we have prior information of mass of wasted activated sludge. Sewage Discharge is denoted by Q_s symbol.

How to evaluate Sewage Inflow Per Day given Mass of Wasted Activated Sludge using this online evaluator? To use this online evaluator for Sewage Inflow Per Day given Mass of Wasted Activated Sludge, enter Mass of Wasted Activated Sludge (M_ws), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Maximum Yield Coefficient (Y), Influent BOD (Q_i) & Effluent BOD (Q_o) and hit the calculate button.

FAQs on Sewage Inflow Per Day given Mass of Wasted Activated Sludge

What is the formula to find Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

The formula of Sewage Inflow Per Day given Mass of Wasted Activated Sludge is expressed as Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)). Here is an example- 9.999954 = (0.053626+(3.46064814814815E-05*9*1.2))/(0.5*(0.0112-0.0004)).

How to calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

With Mass of Wasted Activated Sludge (M_ws), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Maximum Yield Coefficient (Y), Influent BOD (Q_i) & Effluent BOD (Q_o) we can find Sewage Inflow Per Day given Mass of Wasted Activated Sludge using the formula - Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)).

What are the other ways to Calculate Sewage Discharge?

Here are the different ways to Calculate Sewage Discharge-

Sewage Discharge=(Mass of Solids/Concentration of Solids in Effluent)+Volume of Wasted Sludge per day
Sewage Discharge=(Mass of Solids Leaving the System-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent
Sewage Discharge=(((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent

Can the Sewage Inflow Per Day given Mass of Wasted Activated Sludge be negative?

No, the Sewage Inflow Per Day given Mass of Wasted Activated Sludge, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

Sewage Inflow Per Day given Mass of Wasted Activated Sludge is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Sewage Inflow Per Day given Mass of Wasted Activated Sludge can be measured.

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Sewage Inflow Per Day given Mass of Wasted Activated Sludge Formula

​GoSewage Inflow Per Day given Mass of Solids Removed Formula

​GoSewage Inflow Per Day given Total Solids Removed Formula

Sewage Inflow Per Day given Mass of Wasted Activated Sludge Example

Sewage Inflow Per Day given Mass of Wasted Activated Sludge Solution

Sewage Inflow Per Day given Mass of Wasted Activated Sludge Formula Elements

Other Formulas to find Sewage Discharge

How to Evaluate Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

FAQs on Sewage Inflow Per Day given Mass of Wasted Activated Sludge

Variable Name

GoSewage Inflow Per Day given Mass of Solids Removed Formula

GoSewage Inflow Per Day given Total Solids Removed Formula