Temperature given Difference between Saturation D.O and Operation D.O Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*Correction Factor)),1.024)+20
Ta = log(((N*9.17)/(Ns*D*Cf)),1.024)+20
This formula uses 1 Functions, 5 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.
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.
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)
Difference between Saturation DO and Operation DO: 6600 Milligram per Liter --> 6.6 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*D*Cf)),1.024)+20 --> log(((8.33333333333333E-07*9.17)/(5.63888888888889E-07*6.6*0.5)),1.024)+20
Evaluating ... ...
Ta = 20.0167893759449
STEP 3: Convert Result to Output's Unit
20.0167893759449 Kelvin --> No Conversion Required
FINAL ANSWER
20.0167893759449 20.01679 Kelvin <-- Temperature in Aeration Tank
(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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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 Difference between Saturation D.O and Operation D.O Formula

​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
Ta = log(((N*9.17)/(Ns*D*Cf)),1.024)+20

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. Water temperature and the volume of moving water can affect dissolved oxygen levels.

How to Calculate Temperature given Difference between Saturation D.O and Operation D.O?

Temperature given Difference between Saturation D.O and Operation D.O calculator uses Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*Correction Factor)),1.024)+20 to calculate the Temperature in Aeration Tank, The Temperature given Difference between Saturation D.O and Operation D.O formula is defined as the calculation of value of temperature when we have prior information of difference between saturation DO and operation DO. Temperature in Aeration Tank is denoted by Ta symbol.

How to calculate Temperature given Difference between Saturation D.O and Operation D.O using this online calculator? To use this online calculator for Temperature given Difference between Saturation D.O and Operation D.O, enter Oxygen Transferred (N), Oxygen Transfer Capacity (Ns), Difference between Saturation DO and Operation DO (D) & Correction Factor (Cf) and hit the calculate button. Here is how the Temperature given Difference between Saturation D.O and Operation D.O calculation can be explained with given input values -> 20.01679 = log(((8.33333333333333E-07*9.17)/(5.63888888888889E-07*6.6*0.5)),1.024)+20.

FAQ

What is Temperature given Difference between Saturation D.O and Operation D.O?
The Temperature given Difference between Saturation D.O and Operation D.O formula is defined as the calculation of value of temperature when we have prior information of difference between saturation DO and operation DO and is represented as Ta = log(((N*9.17)/(Ns*D*Cf)),1.024)+20 or Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*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, Difference between Saturation DO and Operation DO is the value obtained after subtracting operation DO from saturation DO & 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 Difference between Saturation D.O and Operation D.O?
The Temperature given Difference between Saturation D.O and Operation D.O formula is defined as the calculation of value of temperature when we have prior information of difference between saturation DO and operation DO is calculated using Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*Difference between Saturation DO and Operation DO*Correction Factor)),1.024)+20. To calculate Temperature given Difference between Saturation D.O and Operation D.O, you need Oxygen Transferred (N), Oxygen Transfer Capacity (Ns), Difference between Saturation DO and Operation DO (D) & Correction Factor (Cf). With our tool, you need to enter the respective value for Oxygen Transferred, Oxygen Transfer Capacity, Difference between Saturation DO and Operation DO & 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, Difference between Saturation DO and Operation DO & 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*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*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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