Correction Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*(1.024)^(Temperature-20))/(9.17))
Cf = N/((Ns*D*(1.024)^(T-20))/(9.17))
This formula uses 5 Variables
Variables Used
Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
Oxygen Transferred - (Measured in Kilogram per Second per Watt) - Oxygen Transferred is the amount of oxygen that is moved from the air into the water.
Oxygen Transfer Capacity - (Measured in Kilogram per Second per Watt) - Oxygen Transfer Capacity is the ability of a system, typically in a wastewater treatment context, to transfer oxygen from the air into the water.
Difference between Saturation DO and Operation DO - (Measured in Kilogram per Cubic Meter) - Difference between Saturation DO and Operation DO is the value obtained after subtracting operation DO from saturation DO.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Oxygen Transferred: 3 Kilogram per Hour per Kilowatt --> 8.33333333333333E-07 Kilogram per Second per Watt (Check conversion ​here)
Oxygen Transfer Capacity: 2.03 Kilogram per Hour per Kilowatt --> 5.63888888888889E-07 Kilogram per Second per Watt (Check conversion ​here)
Difference between Saturation DO and Operation DO: 6600 Milligram per Liter --> 6.6 Kilogram per Cubic Meter (Check conversion ​here)
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cf = N/((Ns*D*(1.024)^(T-20))/(9.17)) --> 8.33333333333333E-07/((5.63888888888889E-07*6.6*(1.024)^(85-20))/(9.17))
Evaluating ... ...
Cf = 0.439494490718218
STEP 3: Convert Result to Output's Unit
0.439494490718218 --> No Conversion Required
FINAL ANSWER
0.439494490718218 0.439494 <-- Correction Factor
(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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Operation D.O Level Calculators

Operation Dissolved Oxygen Level
​ LaTeX ​ Go Operation Dissolved Oxygen = Dissolved Oxygen Saturation-((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Correction Factor*(1.024)^(Temperature-20)))
Operation D.O Level when Correction Factor is 0.85
​ LaTeX ​ Go Operation Dissolved Oxygen = D.O Saturation when Correction Factor is 0.85-((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*0.85*(1.024)^(Temperature-20)))
Operation D.O Level when Correction Factor is 0.8
​ LaTeX ​ Go Operation Dissolved Oxygen = D.O Saturation when Correction Factor is 0.8-((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*0.8*(1.024)^(Temperature-20)))
Correction Factor
​ LaTeX ​ Go Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*(1.024)^(Temperature-20))/(9.17))

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

Correction Factor Formula

​LaTeX ​Go
Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*(1.024)^(Temperature-20))/(9.17))
Cf = N/((Ns*D*(1.024)^(T-20))/(9.17))

What is Dissolved Oxygen?

Dissolved Oxygen is the amount of gaseous oxygen (O2) dissolved in the water. Oxygen enters the water by direct absorption from the atmosphere, by rapid movement, or as a waste product of plant photosynthesis.

How to Calculate Correction Factor?

Correction Factor calculator uses Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*(1.024)^(Temperature-20))/(9.17)) to calculate the Correction Factor, Correction Factor formula is defined as a dimensionless value that adjusts the oxygen requirement of an aeration tank based on factors such as temperature, dissolved oxygen, and tank size, providing a more accurate estimate of oxygen needs for efficient wastewater treatment. Correction Factor is denoted by Cf symbol.

How to calculate Correction Factor using this online calculator? To use this online calculator for Correction Factor, enter Oxygen Transferred (N), Oxygen Transfer Capacity (Ns), Difference between Saturation DO and Operation DO (D) & Temperature (T) and hit the calculate button. Here is how the Correction Factor calculation can be explained with given input values -> 0.439494 = 8.33333333333333E-07/((5.63888888888889E-07*6.6*(1.024)^(85-20))/(9.17)).

FAQ

What is Correction Factor?
Correction Factor formula is defined as a dimensionless value that adjusts the oxygen requirement of an aeration tank based on factors such as temperature, dissolved oxygen, and tank size, providing a more accurate estimate of oxygen needs for efficient wastewater treatment and is represented as Cf = N/((Ns*D*(1.024)^(T-20))/(9.17)) or Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*(1.024)^(Temperature-20))/(9.17)). Oxygen Transferred is the amount of oxygen that is moved from the air into the water, Oxygen Transfer Capacity is the ability of a system, typically in a wastewater treatment context, to transfer oxygen from the air into the water, Difference between Saturation DO and Operation DO is the value obtained after subtracting operation DO from saturation DO & Temperature is the degree or intensity of heat present in a substance or object.
How to calculate Correction Factor?
Correction Factor formula is defined as a dimensionless value that adjusts the oxygen requirement of an aeration tank based on factors such as temperature, dissolved oxygen, and tank size, providing a more accurate estimate of oxygen needs for efficient wastewater treatment is calculated using Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*(1.024)^(Temperature-20))/(9.17)). To calculate Correction Factor, you need Oxygen Transferred (N), Oxygen Transfer Capacity (Ns), Difference between Saturation DO and Operation DO (D) & Temperature (T). With our tool, you need to enter the respective value for Oxygen Transferred, Oxygen Transfer Capacity, Difference between Saturation DO and Operation DO & Temperature 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 Correction Factor?
In this formula, Correction Factor uses Oxygen Transferred, Oxygen Transfer Capacity, Difference between Saturation DO and Operation DO & Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Correction Factor = Oxygen Transferred/((Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*(1.024)^(Temperature-20))/(9.17))
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