Influent BOD given Oxygen Demand and Ultimate BOD Both Solution

STEP 0: Pre-Calculation Summary
Formula Used
Influent BOD = Effluent 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)
Qi = Qo+(((BOD5/BODu)*(O2+(DO2*Qw*XR)))/Qs)
This formula uses 9 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 - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
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.
Oxygen demand of biomass - Oxygen demand of biomass is the amount of oxygen required.
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of wasted sludge per day is measured in terms of discharge.
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 litre.
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: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
5 days BOD: 2 Milligram per Liter --> 0.002 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)
Oxygen demand of biomass: 2 --> No Conversion Required
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: 2 Milligram per Liter --> 0.002 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 = Qo+(((BOD5/BODu)*(O2+(DO2*Qw*XR)))/Qs) --> 0.0004+(((0.002/0.002)*(2.89351851851852E-11+(2*9.5*0.002)))/10)
Evaluating ... ...
Qi = 0.00420000000289352
STEP 3: Convert Result to Output's Unit
0.00420000000289352 Kilogram per Cubic Meter -->4.20000000289352 Milligram per Liter (Check conversion here)
FINAL ANSWER
4.20000000289352 4.2 Milligram per Liter <-- Influent BOD
(Calculation completed in 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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4 Influent BOD Calculators

Influent BOD given Oxygen Demand and Ultimate BOD Both
Go Influent BOD = Effluent 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
Go Influent BOD = Effluent BOD+((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
Go Influent BOD = Effluent 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
Go Influent BOD = Effluent BOD+((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 given Oxygen Demand and Ultimate BOD Both Formula

Influent BOD = Effluent 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)
Qi = Qo+(((BOD5/BODu)*(O2+(DO2*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 Oxygen Demand and Ultimate BOD Both?

Influent BOD given Oxygen Demand and Ultimate BOD Both calculator uses Influent BOD = Effluent 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) to calculate the Influent BOD, Influent BOD given Oxygen Demand and Ultimate BOD Both calculates influent BOD when we have prior information of other parameters used. Influent BOD is denoted by Qi symbol.

How to calculate Influent BOD given Oxygen Demand and Ultimate BOD Both using this online calculator? To use this online calculator for Influent BOD given Oxygen Demand and Ultimate BOD Both, enter Effluent BOD (Qo), 5 days BOD (BOD5), Ultimate BOD (BODu), Theoretical Oxygen Requirement (O2), Oxygen demand of biomass (DO2), 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 Oxygen Demand and Ultimate BOD Both calculation can be explained with given input values -> 4200 = 0.0004+(((0.002/0.002)*(2.89351851851852E-11+(2*9.5*0.002)))/10).

FAQ

What is Influent BOD given Oxygen Demand and Ultimate BOD Both?
Influent BOD given Oxygen Demand and Ultimate BOD Both calculates influent BOD when we have prior information of other parameters used and is represented as Qi = Qo+(((BOD5/BODu)*(O2+(DO2*Qw*XR)))/Qs) or Influent BOD = Effluent 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). Effluent BOD is the amount of BOD present in the outing sewage, 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, Oxygen demand of biomass is the amount of oxygen required, Volume of wasted sludge per day is measured in terms of discharge, MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre & Sewage discharge is the flow rate of sewage when it is being discharged in the river.
How to calculate Influent BOD given Oxygen Demand and Ultimate BOD Both?
Influent BOD given Oxygen Demand and Ultimate BOD Both calculates influent BOD when we have prior information of other parameters used is calculated using Influent BOD = Effluent 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). To calculate Influent BOD given Oxygen Demand and Ultimate BOD Both, you need Effluent BOD (Qo), 5 days BOD (BOD5), Ultimate BOD (BODu), Theoretical Oxygen Requirement (O2), Oxygen demand of biomass (DO2), 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, 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 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, 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. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Influent BOD = Effluent BOD+((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+((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+(((5 days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)))/Sewage Discharge)
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