Influent BOD given Ultimate BOD Solution

STEP 0: Pre-Calculation Summary
Formula Used
Influent BOD = Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Qi = Qub+(((BOD5/BODu)*(O2+(1.42*Qw*XR)))/Qs)
This formula uses 8 Variables
Variables Used
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 given Ultimate BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD given Ultimate BOD is a measure of the amount of oxygen that microorganisms will consume while decomposing organic matter in the effluent over a specific period.
5 Days BOD - (Measured in Kilogram per Cubic Meter) - 5 Days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C.
Ultimate BOD - (Measured in Kilogram per Cubic Meter) - Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time.
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.
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of Wasted Sludge per day is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis.
MLSS in Returned or Wasted Sludge - (Measured in Kilogram per Cubic Meter) - MLSS in Returned or Wasted Sludge is the mixed liquor suspended solids in returned sludge in terms of mg per liter.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
STEP 1: Convert Input(s) to Base Unit
Effluent BOD given Ultimate BOD: 11.91 Milligram per Liter --> 0.01191 Kilogram per Cubic Meter (Check conversion ​here)
5 Days BOD: 1.36 Milligram per Liter --> 0.00136 Kilogram per Cubic Meter (Check conversion ​here)
Ultimate BOD: 2 Milligram per Liter --> 0.002 Kilogram per Cubic Meter (Check conversion ​here)
Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion ​here)
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
MLSS in Returned or Wasted Sludge: 1.4 Milligram per Liter --> 0.0014 Kilogram per Cubic Meter (Check conversion ​here)
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qi = Qub+(((BOD5/BODu)*(O2+(1.42*Qw*XR)))/Qs) --> 0.01191+(((0.00136/0.002)*(2.89351851851852E-11+(1.42*9.5*0.0014)))/10)
Evaluating ... ...
Qi = 0.0131942480019676
STEP 3: Convert Result to Output's Unit
0.0131942480019676 Kilogram per Cubic Meter -->13.1942480019676 Milligram per Liter (Check conversion ​here)
FINAL ANSWER
13.1942480019676 13.19425 Milligram per Liter <-- Influent BOD
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Influent BOD Calculators

Influent BOD given Oxygen Demand and Ultimate BOD Both
​ LaTeX ​ Go Influent BOD = Effluent BOD given Oxygen Demand and Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Influent BOD given Oxygen Demand of Biomass
​ LaTeX ​ Go Influent BOD = Effluent BOD given Oxygen Demand of Biomass+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Influent BOD given Ultimate BOD
​ LaTeX ​ Go Influent BOD = Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Influent BOD given Oxygen Required in Aeration Tank
​ LaTeX ​ Go Influent BOD = Effluent BOD given Oxygen Required+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)

Important Formulas of Oxygen Requirement of the Aeration Tank Calculators

BOD5 given Oxygen Required in Aeration Tank
​ LaTeX ​ Go BOD5 given Oxygen Required in Aeration Tank = Ultimate BOD*(Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge))
BOD5 given Ratio of BOD to Ultimate BOD
​ LaTeX ​ Go BOD5 given Ratio of BOD to Ultimate BOD = Ratio of BOD to Ultimate BOD*Ultimate BOD
Ratio of BOD to Ultimate BOD
​ LaTeX ​ Go Ratio of BOD to Ultimate BOD = BOD of 5 days at 20° C/Ultimate BOD
BOD5 when Ratio of BOD to Ultimate BOD is 0.68
​ LaTeX ​ Go 5 Days BOD = Ultimate BOD*0.68

Influent BOD given Ultimate BOD Formula

​LaTeX ​Go
Influent BOD = Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
Qi = Qub+(((BOD5/BODu)*(O2+(1.42*Qw*XR)))/Qs)

What is BOD?

Biochemical oxygen demand is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a given water sample at certain temperature over a specific time period.

How to Calculate Influent BOD given Ultimate BOD?

Influent BOD given Ultimate BOD calculator uses Influent BOD = Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge) to calculate the Influent BOD, Influent BOD given Ultimate BOD formula is defined as a measure of the biochemical oxygen demand of wastewater influent, which is essential in determining the oxygen requirement of the aeration tank, and is a critical parameter in wastewater treatment plant design and operation. Influent BOD is denoted by Qi symbol.

How to calculate Influent BOD given Ultimate BOD using this online calculator? To use this online calculator for Influent BOD given Ultimate BOD, enter Effluent BOD given Ultimate BOD (Qub), 5 Days BOD (BOD5), Ultimate BOD (BODu), Theoretical Oxygen Requirement (O2), Volume of Wasted Sludge per day (Qw), MLSS in Returned or Wasted Sludge (XR) & Sewage Discharge (Qs) and hit the calculate button. Here is how the Influent BOD given Ultimate BOD calculation can be explained with given input values -> 13836.37 = 0.01191+(((0.00136/0.002)*(2.89351851851852E-11+(1.42*9.5*0.0014)))/10).

FAQ

What is Influent BOD given Ultimate BOD?
Influent BOD given Ultimate BOD formula is defined as a measure of the biochemical oxygen demand of wastewater influent, which is essential in determining the oxygen requirement of the aeration tank, and is a critical parameter in wastewater treatment plant design and operation and is represented as Qi = Qub+(((BOD5/BODu)*(O2+(1.42*Qw*XR)))/Qs) or Influent BOD = Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge). Effluent BOD given Ultimate BOD is a measure of the amount of oxygen that microorganisms will consume while decomposing organic matter in the effluent over a specific period, 5 Days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C, Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time, Theoretical Oxygen Requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products, Volume of Wasted Sludge per day is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis, MLSS in Returned or Wasted Sludge is the mixed liquor suspended solids in returned sludge in terms of mg per liter & Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
How to calculate Influent BOD given Ultimate BOD?
Influent BOD given Ultimate BOD formula is defined as a measure of the biochemical oxygen demand of wastewater influent, which is essential in determining the oxygen requirement of the aeration tank, and is a critical parameter in wastewater treatment plant design and operation is calculated using Influent BOD = Effluent BOD given Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge). To calculate Influent BOD given Ultimate BOD, you need Effluent BOD given Ultimate BOD (Qub), 5 Days BOD (BOD5), Ultimate BOD (BODu), Theoretical Oxygen Requirement (O2), Volume of Wasted Sludge per day (Qw), MLSS in Returned or Wasted Sludge (XR) & Sewage Discharge (Qs). With our tool, you need to enter the respective value for Effluent BOD given Ultimate BOD, 5 Days BOD, Ultimate BOD, Theoretical Oxygen Requirement, Volume of Wasted Sludge per day, MLSS in Returned or Wasted Sludge & Sewage Discharge 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 BOD?
In this formula, Influent BOD uses Effluent BOD given Ultimate BOD, 5 Days BOD, Ultimate BOD, Theoretical Oxygen Requirement, Volume of Wasted Sludge per day, MLSS in Returned or Wasted Sludge & Sewage Discharge. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Influent BOD = Effluent BOD given Oxygen Required+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
  • Influent BOD = Effluent BOD given Oxygen Demand of Biomass+((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
  • Influent BOD = Effluent BOD given Oxygen Demand and Ultimate BOD+(((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/Sewage Discharge)
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