Temperature given Oxygen Transfer Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20
Ta = log(((N*9.17)/(Ns*(DS-DL)*Cf)),1.024)+20
This formula uses 1 Functions, 6 Variables
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Temperature in Aeration Tank - (Measured in Kelvin) - Temperature in Aeration Tank is the temperature required in aeration tank during the various treatment process in Kelvin.
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.
Dissolved Oxygen Saturation - (Measured in Kilogram per Cubic Meter) - Dissolved Oxygen Saturation is the maximum amount of oxygen that can be dissolved in water at a given temperature and pressure.
Operation Dissolved Oxygen - (Measured in Kilogram per Cubic Meter) - Operation Dissolved Oxygen is the amount of oxygen that is present in water. It is a crucial parameter in assessing water quality because it is essential for the survival of aquatic organisms.
Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
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)
Dissolved Oxygen Saturation: 5803 Milligram per Liter --> 5.803 Kilogram per Cubic Meter (Check conversion ​here)
Operation Dissolved Oxygen: 2.01 Milligram per Liter --> 0.00201 Kilogram per Cubic Meter (Check conversion ​here)
Correction Factor: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ta = log(((N*9.17)/(Ns*(DS-DL)*Cf)),1.024)+20 --> log(((8.33333333333333E-07*9.17)/(5.63888888888889E-07*(5.803-0.00201)*0.5)),1.024)+20
Evaluating ... ...
Ta = 20.0153840351837
STEP 3: Convert Result to Output's Unit
20.0153840351837 Kelvin --> No Conversion Required
FINAL ANSWER
20.0153840351837 20.01538 Kelvin <-- Temperature in Aeration Tank
(Calculation completed in 00.020 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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Temperature Requirements in Aeration Tank Calculators

Temperature given Oxygen Transfer Capacity
​ LaTeX ​ Go Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20
Temperature given Difference between Saturation D.O and Operation D.O
​ LaTeX ​ Go Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*Correction Factor)),1.024)+20
Temperature when Correction Factor is 0.85
​ LaTeX ​ Go Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*0.85)),1.024)+20
Temperature when Correction Factor is 0.8
​ LaTeX ​ Go Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*0.8)),1.024)+20

Temperature given Oxygen Transfer Capacity Formula

​LaTeX ​Go
Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20
Ta = log(((N*9.17)/(Ns*(DS-DL)*Cf)),1.024)+20

What is Aeration Tank?

Aeration in an activated sludge process is based on pumping air into a tank, which promotes the microbial growth in the wastewater. The microbes feed on the organic material, forming flocks which can easily settle out.

How to Calculate Temperature given Oxygen Transfer Capacity?

Temperature given Oxygen Transfer Capacity calculator uses Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20 to calculate the Temperature in Aeration Tank, The Temperature given Oxygen Transfer Capacity formula is defined as the calculation of temperature when we have prior information of oxygen transfer capacity. Temperature in Aeration Tank is denoted by Ta symbol.

How to calculate Temperature given Oxygen Transfer Capacity using this online calculator? To use this online calculator for Temperature given Oxygen Transfer Capacity, enter Oxygen Transferred (N), Oxygen Transfer Capacity (Ns), Dissolved Oxygen Saturation (DS), Operation Dissolved Oxygen (DL) & Correction Factor (Cf) and hit the calculate button. Here is how the Temperature given Oxygen Transfer Capacity calculation can be explained with given input values -> 20.01538 = log(((8.33333333333333E-07*9.17)/(5.63888888888889E-07*(5.803-0.00201)*0.5)),1.024)+20.

FAQ

What is Temperature given Oxygen Transfer Capacity?
The Temperature given Oxygen Transfer Capacity formula is defined as the calculation of temperature when we have prior information of oxygen transfer capacity and is represented as Ta = log(((N*9.17)/(Ns*(DS-DL)*Cf)),1.024)+20 or Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20. 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, Dissolved Oxygen Saturation is the maximum amount of oxygen that can be dissolved in water at a given temperature and pressure, Operation Dissolved Oxygen is the amount of oxygen that is present in water. It is a crucial parameter in assessing water quality because it is essential for the survival of aquatic organisms & Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
How to calculate Temperature given Oxygen Transfer Capacity?
The Temperature given Oxygen Transfer Capacity formula is defined as the calculation of temperature when we have prior information of oxygen transfer capacity is calculated using Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20. To calculate Temperature given Oxygen Transfer Capacity, you need Oxygen Transferred (N), Oxygen Transfer Capacity (Ns), Dissolved Oxygen Saturation (DS), Operation Dissolved Oxygen (DL) & Correction Factor (Cf). With our tool, you need to enter the respective value for Oxygen Transferred, Oxygen Transfer Capacity, Dissolved Oxygen Saturation, Operation Dissolved Oxygen & Correction Factor 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 Temperature in Aeration Tank?
In this formula, Temperature in Aeration Tank uses Oxygen Transferred, Oxygen Transfer Capacity, Dissolved Oxygen Saturation, Operation Dissolved Oxygen & Correction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*Correction Factor)),1.024)+20
  • Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*0.8)),1.024)+20
  • Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*0.85)),1.024)+20
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