Influent Substrate Concentration given Theoretical Oxygen Requirement Calculator

✖Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.ⓘ Theoretical Oxygen Requirement [O₂]			+10% -10%
✖Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process.ⓘ Net waste activated sludge [P_x]			+10% -10%
✖BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD.ⓘ BOD conversion factor [f]			+10% -10%
✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average daily influent flow rate [Q]			+10% -10%
✖Effluent substrate concentration is the concentration of the BOD present in the effluent.ⓘ Effluent substrate concentration [S]			+10% -10%

✖Influent Substrate Concentration is the concentration of BOD that is present in the influent.ⓘ Influent Substrate Concentration given Theoretical Oxygen Requirement [S_o]

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Formula

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Influent Substrate Concentration given Theoretical Oxygen Requirement

Formula

`"S"_{"o"} = ("O"_{"2"}+(1.42*"P"_{"x"}))*("f"/(8.34*"Q"))+"S"`

Example

`"15.0021mg/L"=("2.5mg/d"+(1.42*"20mg/d"))*("0.68"/(8.34*"1.2m³/d"))+"15mg/L"`

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Influent Substrate Concentration given Theoretical Oxygen Requirement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Influent Substrate Concentration = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate))+Effluent substrate concentration
S_o = (O₂+(1.42*P_x))*(f/(8.34*Q))+S
This formula uses 6 Variables

Variables Used

Influent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
Theoretical Oxygen Requirement - (Measured in Kilogram per Second) - Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.
Net waste activated sludge - (Measured in Kilogram per Second) - Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process.
BOD conversion factor - BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD.
Average daily influent flow rate - (Measured in Cubic Meter per Second) - Average daily influent flow rate is the total discharge that comes in the reactor.
Effluent substrate concentration - (Measured in Kilogram per Cubic Meter) - Effluent substrate concentration is the concentration of the BOD present in the effluent.

STEP 1: Convert Input(s) to Base Unit

Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion here)
Net waste activated sludge: 20 Milligram per Day --> 2.31481481481481E-10 Kilogram per Second (Check conversion here)
BOD conversion factor: 0.68 --> No Conversion Required
Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per Second (Check conversion here)
Effluent substrate concentration: 15 Milligram per Liter --> 0.015 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_o = (O₂+(1.42*P_x))*(f/(8.34*Q))+S --> (2.89351851851852E-11+(1.42*2.31481481481481E-10))*(0.68/(8.34*1.38888888888889E-05))+0.015

Evaluating ... ...

S_o = 0.0150020995203837

STEP 3: Convert Result to Output's Unit

0.0150020995203837 Kilogram per Cubic Meter -->15.0020995203837 Milligram per Liter (Check conversion here)

FINAL ANSWER

15.0020995203837 ≈ 15.0021 Milligram per Liter <-- Influent Substrate Concentration

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Influent Substrate Concentration Calculators

Influent Substrate Concentration given Volume of Reactor

Go Influent Substrate Concentration = ((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient))+Effluent substrate concentration

Influent Substrate Concentration given Theoretical Oxygen Requirement

Go Influent Substrate Concentration = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate))+Effluent substrate concentration

Influent Substrate Concentration given Net Waste Activated Sludge

Go Influent Substrate Concentration = (Net waste activated sludge/(8.34*Observed Cell Yield*Average daily influent flow rate))+Effluent substrate concentration

Influent Substrate Concentration given Organic Loading

Go Influent Substrate Concentration = Organic loading*Reactor Volume/Influent average flow rate

Influent Substrate Concentration for Organic Loading using Hydraulic Retention Time

Go Influent Substrate Concentration = Organic loading*Retention Time

Influent Substrate Concentration given Theoretical Oxygen Requirement Formula

What is theoretical oxygen requirement?

The Theoretical oxygen requirement for the removal of the carbonaceous organic matter is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.

How to Calculate Influent Substrate Concentration given Theoretical Oxygen Requirement?

Influent Substrate Concentration given Theoretical Oxygen Requirement calculator uses Influent Substrate Concentration = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate))+Effluent substrate concentration to calculate the Influent Substrate Concentration, The Influent substrate concentration given theoretical oxygen requirement is the total BOD which is present in the incoming sewage. Influent Substrate Concentration is denoted by S_o symbol.

How to calculate Influent Substrate Concentration given Theoretical Oxygen Requirement using this online calculator? To use this online calculator for Influent Substrate Concentration given Theoretical Oxygen Requirement, enter Theoretical Oxygen Requirement (O₂), Net waste activated sludge (P_x), BOD conversion factor (f), Average daily influent flow rate (Q) & Effluent substrate concentration (S) and hit the calculate button. Here is how the Influent Substrate Concentration given Theoretical Oxygen Requirement calculation can be explained with given input values -> 15002.1 = (2.89351851851852E-11+(1.42*2.31481481481481E-10))*(0.68/(8.34*1.38888888888889E-05))+0.015.

FAQ

What is Influent Substrate Concentration given Theoretical Oxygen Requirement?

The Influent substrate concentration given theoretical oxygen requirement is the total BOD which is present in the incoming sewage and is represented as S_o = (O₂+(1.42*P_x))*(f/(8.34*Q))+S or Influent Substrate Concentration = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate))+Effluent substrate concentration. Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products, Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process, BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD, Average daily influent flow rate is the total discharge that comes in the reactor & Effluent substrate concentration is the concentration of the BOD present in the effluent.

How to calculate Influent Substrate Concentration given Theoretical Oxygen Requirement?

The Influent substrate concentration given theoretical oxygen requirement is the total BOD which is present in the incoming sewage is calculated using Influent Substrate Concentration = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate))+Effluent substrate concentration. To calculate Influent Substrate Concentration given Theoretical Oxygen Requirement, you need Theoretical Oxygen Requirement (O₂), Net waste activated sludge (P_x), BOD conversion factor (f), Average daily influent flow rate (Q) & Effluent substrate concentration (S). With our tool, you need to enter the respective value for Theoretical Oxygen Requirement, Net waste activated sludge, BOD conversion factor, Average daily influent flow rate & Effluent substrate concentration 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 Influent Substrate Concentration?

In this formula, Influent Substrate Concentration uses Theoretical Oxygen Requirement, Net waste activated sludge, BOD conversion factor, Average daily influent flow rate & Effluent substrate concentration. We can use 4 other way(s) to calculate the same, which is/are as follows -

Influent Substrate Concentration = ((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient))+Effluent substrate concentration
Influent Substrate Concentration = (Net waste activated sludge/(8.34*Observed Cell Yield*Average daily influent flow rate))+Effluent substrate concentration
Influent Substrate Concentration = Organic loading*Reactor Volume/Influent average flow rate
Influent Substrate Concentration = Organic loading*Retention Time

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