Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Calculator

✖Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Sewage Discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%
✖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.ⓘ Mass of Wasted Activated Sludge [M_ws]			+10% -10%
✖Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.ⓘ Mixed Liquor Suspended Solids [X^']			+10% -10%
✖Volume of Tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%

✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge [K^e]

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Formula

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Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

Formula

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

Example

2.992 d⁻¹ = \frac{(0.50 \cdot 10 m³/s \cdot (11.2 mg/L - 0.4 mg/L)) - 53626 mg}{1200 mg/L \cdot 9 m³}

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Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank)
K^e = ((Y*Q_s*(Q_i-Q_o))-M_ws)/(X^'*V)
This formula uses 8 Variables

Variables Used

Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
Maximum Yield Coefficient - Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Mass of Wasted Activated Sludge - (Measured in Kilogram) - 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.
Mixed Liquor Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.
Volume of Tank - (Measured in Cubic Meter) - Volume of Tank is defined as the capacity of flocculation and mixing tank.

STEP 1: Convert Input(s) to Base Unit

Maximum Yield Coefficient: 0.5 --> No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Mass of Wasted Activated Sludge: 53626 Milligram --> 0.053626 Kilogram (Check conversion here)
Mixed Liquor Suspended Solids: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K^e = ((Y*Q_s*(Q_i-Q_o))-M_ws)/(X^'*V) --> ((0.5*10*(0.0112-0.0004))-0.053626)/(1.2*9)

Evaluating ... ...

K^e = 3.46296296296302E-05

STEP 3: Convert Result to Output's Unit

3.46296296296302E-05 1 Per Second -->2.99200000000005 1 Per Day (Check conversion here)

FINAL ANSWER

2.99200000000005 ≈ 2.992 1 Per Day <-- Endogenous Respiration Rate Constant

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Endogenous Respiration Rate Calculators

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

Go Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient

Go Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)

< Important Formulas of Sludge Age Calculators

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

Go Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank)

Mass of Wasted Activated Sludge

Go Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids)

Concentration of Solids in Returned Sludge given MLSS

Go Concentration of Solids given MLSS = (Mixed Liquor Suspended Solids*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient

Go Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Formula

What is Sludge?

Sludge is a semi-solid slurry that can be produced from a range of industrial processes, from water treatment, wastewater treatment or on-site sanitation systems.

How to Calculate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge calculator uses Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank) to calculate the Endogenous Respiration Rate Constant, The Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge formula is defined as the calculation of endogenous respiration rate constant when we have prior information of mass of wasted activated sludge. Endogenous Respiration Rate Constant is denoted by K^e symbol.

How to calculate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge, enter Maximum Yield Coefficient (Y), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Mass of Wasted Activated Sludge (M_ws), Mixed Liquor Suspended Solids (X^') & Volume of Tank (V) and hit the calculate button. Here is how the Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge calculation can be explained with given input values -> 258508.8 = ((0.5*10*(0.0112-0.0004))-0.053626)/(1.2*9).

FAQ

What is Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

The Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge formula is defined as the calculation of endogenous respiration rate constant when we have prior information of mass of wasted activated sludge and is represented as K^e = ((Y*Q_s*(Q_i-Q_o))-M_ws)/(X^'*V) or Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank). Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed, Sewage Discharge is the flow rate of sewage when it is being discharged in the river, Influent BOD is the total amount of BOD which is present in the incoming sewage, Effluent BOD is the amount of BOD present in the outing sewage, 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, Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process & Volume of Tank is defined as the capacity of flocculation and mixing tank.

How to calculate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

The Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge formula is defined as the calculation of endogenous respiration rate constant when we have prior information of mass of wasted activated sludge is calculated using Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank). To calculate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge, you need Maximum Yield Coefficient (Y), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Mass of Wasted Activated Sludge (M_ws), Mixed Liquor Suspended Solids (X^') & Volume of Tank (V). With our tool, you need to enter the respective value for Maximum Yield Coefficient, Sewage Discharge, Influent BOD, Effluent BOD, Mass of Wasted Activated Sludge, Mixed Liquor Suspended Solids & Volume of Tank and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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