Ratio of BOD to Ultimate given Oxygen Demand of Biomass Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge))
f = (Qs*(Qi-Q))/(O2+(DO2*Qw*XR))
This formula uses 8 Variables
Variables Used
Ratio of BOD to Ultimate BOD - Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.
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.
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 by the microorganisms to decompose organic matter present in biomass.
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.
STEP 1: Convert Input(s) to Base Unit
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Influent BOD: 13.2 Milligram per Liter --> 0.0132 Kilogram per Cubic Meter (Check conversion ​here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 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: 2.02 --> 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: 1.4 Milligram per Liter --> 0.0014 Kilogram per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = (Qs*(Qi-Q))/(O2+(DO2*Qw*XR)) --> (10*(0.0132-0.0004))/(2.89351851851852E-11+(2.02*9.5*0.0014))
Evaluating ... ...
f = 4.76438620792606
STEP 3: Convert Result to Output's Unit
4.76438620792606 --> No Conversion Required
FINAL ANSWER
4.76438620792606 4.764386 <-- Ratio of BOD to Ultimate BOD
(Calculation completed in 00.035 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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BOD to Ultimate BOD Calculators

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

Ratio of BOD to Ultimate given Oxygen Demand of Biomass Formula

​LaTeX ​Go
Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge))
f = (Qs*(Qi-Q))/(O2+(DO2*Qw*XR))

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 Ratio of BOD to Ultimate given Oxygen Demand of Biomass?

Ratio of BOD to Ultimate given Oxygen Demand of Biomass calculator uses Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)) to calculate the Ratio of BOD to Ultimate BOD, The Ratio of BOD to Ultimate given Oxygen Demand of Biomass formula is defined as the calculation of ratio of BOD when we have prior information of oxygen demand of biomass. Ratio of BOD to Ultimate BOD is denoted by f symbol.

How to calculate Ratio of BOD to Ultimate given Oxygen Demand of Biomass using this online calculator? To use this online calculator for Ratio of BOD to Ultimate given Oxygen Demand of Biomass, enter Sewage Discharge (Qs), Influent BOD (Qi), Effluent BOD (Q), Theoretical Oxygen Requirement (O2), Oxygen Demand of Biomass (DO2), Volume of Wasted Sludge per day (Qw) & MLSS in Returned or Wasted Sludge (XR) and hit the calculate button. Here is how the Ratio of BOD to Ultimate given Oxygen Demand of Biomass calculation can be explained with given input values -> 3.176257 = (10*(0.0132-0.0004))/(2.89351851851852E-11+(2.02*9.5*0.0014)).

FAQ

What is Ratio of BOD to Ultimate given Oxygen Demand of Biomass?
The Ratio of BOD to Ultimate given Oxygen Demand of Biomass formula is defined as the calculation of ratio of BOD when we have prior information of oxygen demand of biomass and is represented as f = (Qs*(Qi-Q))/(O2+(DO2*Qw*XR)) or Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)). 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, 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 by the microorganisms to decompose organic matter present in biomass, 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.
How to calculate Ratio of BOD to Ultimate given Oxygen Demand of Biomass?
The Ratio of BOD to Ultimate given Oxygen Demand of Biomass formula is defined as the calculation of ratio of BOD when we have prior information of oxygen demand of biomass is calculated using Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)). To calculate Ratio of BOD to Ultimate given Oxygen Demand of Biomass, you need Sewage Discharge (Qs), Influent BOD (Qi), Effluent BOD (Q), Theoretical Oxygen Requirement (O2), Oxygen Demand of Biomass (DO2), Volume of Wasted Sludge per day (Qw) & MLSS in Returned or Wasted Sludge (XR). With our tool, you need to enter the respective value for Sewage Discharge, Influent BOD, Effluent BOD, Theoretical Oxygen Requirement, Oxygen Demand of Biomass, Volume of Wasted Sludge per day & MLSS in Returned or Wasted Sludge 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 Ratio of BOD to Ultimate BOD?
In this formula, Ratio of BOD to Ultimate BOD uses Sewage Discharge, Influent BOD, Effluent BOD, Theoretical Oxygen Requirement, Oxygen Demand of Biomass, Volume of Wasted Sludge per day & MLSS in Returned or Wasted Sludge. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Ratio of BOD to 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))
  • Ratio of BOD to Ultimate BOD = BOD of 5 days at 20° C/Ultimate BOD
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