Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Calculator

✖Maximum Yield Coefficient Y represents 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 solids means the actuall weight of the solid particle present in the sewage.ⓘ Mass of Solids [M_s]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [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"} = (("Y"*"Q"_{"s"}*("Q"_{"i"}-"Q"_{"o"}))-"M"_{"s"})/("X"*"V")`

Example

`"392d⁻¹"=(("0.5"*"10m³/s"*("11.2mg/L"-"0.4mg/L"))-"5g")/("1200mg/L"*"9m³")`

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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 Solids)/(MLSS*Volume of Tank)
K^e = ((Y*Q_s*(Q_i-Q_o))-M_s)/(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 Y represents 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 Solids - (Measured in Kilogram) - Mass of solids means the actuall weight of the solid particle present in the sewage.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
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 Solids: 5 Gram --> 0.005 Kilogram (Check conversion here)
MLSS: 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_s)/(X*V) --> ((0.5*10*(0.0112-0.0004))-0.005)/(1.2*9)

Evaluating ... ...

K^e = 0.00453703703703704

STEP 3: Convert Result to Output's Unit

0.00453703703703704 1 Per Second -->392 1 Per Day (Check conversion here)

FINAL ANSWER

392 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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< 2 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 Solids)/(MLSS*Volume of Tank)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient

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

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Formula

Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Solids)/(MLSS*Volume of Tank)
K^e = ((Y*Q_s*(Q_i-Q_o))-M_s)/(X*V)

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 Solids)/(MLSS*Volume of Tank) to calculate the Endogenous Respiration Rate Constant, Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge calculates endogenous respiration rate constant when we have prior information of other parameters used. 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 Solids (M_s), MLSS (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 -> 3.4E+7 = ((0.5*10*(0.0112-0.0004))-0.005)/(1.2*9).

FAQ

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

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge calculates endogenous respiration rate constant when we have prior information of other parameters used and is represented as K^e = ((Y*Q_s*(Q_i-Q_o))-M_s)/(X*V) or Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Solids)/(MLSS*Volume of Tank). Maximum Yield Coefficient Y represents 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 solids means the actuall weight of the solid particle present in the sewage, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics) & 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?

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge calculates endogenous respiration rate constant when we have prior information of other parameters used is calculated using Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Solids)/(MLSS*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 Solids (M_s), MLSS (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 Solids, MLSS & Volume of Tank and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Endogenous Respiration Rate Constant?

In this formula, Endogenous Respiration Rate Constant uses Maximum Yield Coefficient, Sewage Discharge, Influent BOD, Effluent BOD, Mass of Solids, MLSS & Volume of Tank. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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