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Temperature given Oxygen Transfer Capacity Formula

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GoTemperature when Correction Factor is 0.8 Formula

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Temperature in Aeration Tank is the temperature required in aeration tank during the various treatment process in Kelvin. Check FAQs

T a = \log ((\frac{N \cdot 9.17}{N s \cdot (D S - D L) \cdot C f}), 1.024) + 20

T_a - Temperature in Aeration Tank?N - Oxygen Transferred?N^s - Oxygen Transfer Capacity?D^S - Dissolved Oxygen Saturation?D^L - Operation Dissolved Oxygen?C_f - Correction Factor?

Temperature given Oxygen Transfer Capacity Example

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Here is how the Temperature given Oxygen Transfer Capacity equation looks like with Values.

Here is how the Temperature given Oxygen Transfer Capacity equation looks like with Units.

Here is how the Temperature given Oxygen Transfer Capacity equation looks like.

20.0154 = \log ((\frac{3 \cdot 9.17}{2.03 \cdot (5803 - 2.01) \cdot 0.5}), 1.024) + 20

20.0154K = \log ((\frac{3kg/h/kW \cdot 9.17}{2.03kg/h/kW \cdot (5803mg/L - 2.01mg/L) \cdot 0.5}), 1.024) + 20

20.0154 = \log ((\frac{3 \cdot 9.17}{2.03 \cdot (5803 - 2.01) \cdot 0.5}), 1.024) + 20

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Temperature given Oxygen Transfer Capacity Solution

Follow our step by step solution on how to calculate Temperature given Oxygen Transfer Capacity?

FIRST Step Consider the formula

T a = \log ((\frac{N \cdot 9.17}{N s \cdot (D S - D L) \cdot C f}), 1.024) + 20

Next Step Substitute values of Variables

∴

T a = \log ((\frac{3kg/h/kW \cdot 9.17}{2.03kg/h/kW \cdot (5803mg/L - 2.01mg/L) \cdot 0.5}), 1.024) + 20

Next Step Convert Units

∴

T a = \log ((\frac{8.3E-7kg/s/W \cdot 9.17}{5.6E-7kg/s/W \cdot (5.803kg/m³ - 0.002kg/m³) \cdot 0.5}), 1.024) + 20

Next Step Prepare to Evaluate

∴

T a = \log ((\frac{8.3E-7 \cdot 9.17}{5.6E-7 \cdot (5.803 - 0.002) \cdot 0.5}), 1.024) + 20

Next Step Evaluate

∴

T a = 20.0153840351837K

LAST Step Rounding Answer

∴

T a = 20.0154K

Temperature given Oxygen Transfer Capacity Formula Elements

Variables

Functions

Temperature in Aeration Tank

Temperature in Aeration Tank is the temperature required in aeration tank during the various treatment process in Kelvin.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature in Aeration Tank

Oxygen Transferred

Oxygen Transferred is the amount of oxygen that is moved from the air into the water.

Symbol: N

Measurement: Specific Fuel ConsumptionUnit: kg/h/kW

Note: Value should be greater than 0.

Formulas to find Oxygen Transferred

Oxygen Transfer Capacity

Oxygen Transfer Capacity is the ability of a system, typically in a wastewater treatment context, to transfer oxygen from the air into the water.

Symbol: N^s

Measurement: Specific Fuel ConsumptionUnit: kg/h/kW

Note: Value should be greater than 0.

Formulas to find Oxygen Transfer Capacity

Dissolved Oxygen Saturation

Dissolved Oxygen Saturation is the maximum amount of oxygen that can be dissolved in water at a given temperature and pressure.

Symbol: D^S

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Dissolved Oxygen Saturation

Operation Dissolved Oxygen

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.

Symbol: D^L

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Operation Dissolved Oxygen

Correction Factor

Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Correction Factor

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Temperature in Aeration Tank

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

T a = \log ((\frac{N \cdot 9.17}{N s \cdot D \cdot C f}), 1.024) + 20

Go Temperature when Correction Factor is 0.8

T a = \log ((\frac{N \cdot 9.17}{N s \cdot (D S - D L) \cdot 0.8}), 1.024) + 20

Go Temperature when Correction Factor is 0.85

T a = \log ((\frac{N \cdot 9.17}{N s \cdot (D S - D L) \cdot 0.85}), 1.024) + 20

How to Evaluate Temperature given Oxygen Transfer Capacity?

Temperature given Oxygen Transfer Capacity evaluator 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 evaluate 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 T_a symbol.

How to evaluate Temperature given Oxygen Transfer Capacity using this online evaluator? To use this online evaluator for Temperature given Oxygen Transfer Capacity, enter Oxygen Transferred (N), Oxygen Transfer Capacity (N^s), Dissolved Oxygen Saturation (D^S), Operation Dissolved Oxygen (D^L) & Correction Factor (C_f) and hit the calculate button.

FAQs on Temperature given Oxygen Transfer Capacity

What is the formula to find Temperature given Oxygen Transfer Capacity?

The formula of Temperature given Oxygen Transfer Capacity is expressed as Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20. Here is an example- 20.01538 = log(((8.33333333333333E-07*9.17)/(5.63888888888889E-07*(5.803-0.00201)*0.5)),1.024)+20.

How to calculate Temperature given Oxygen Transfer Capacity?

With Oxygen Transferred (N), Oxygen Transfer Capacity (N^s), Dissolved Oxygen Saturation (D^S), Operation Dissolved Oxygen (D^L) & Correction Factor (C_f) we can find Temperature given Oxygen Transfer Capacity using the formula - Temperature in Aeration Tank = log(((Oxygen Transferred*9.17)/(Oxygen Transfer Capacity*(Dissolved Oxygen Saturation-Operation Dissolved Oxygen)*Correction Factor)),1.024)+20. This formula also uses Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Temperature in Aeration Tank?

Here are the different ways to Calculate Temperature in Aeration Tank-

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

Can the Temperature given Oxygen Transfer Capacity be negative?

No, the Temperature given Oxygen Transfer Capacity, measured in Temperature cannot be negative.

Which unit is used to measure Temperature given Oxygen Transfer Capacity?

Temperature given Oxygen Transfer Capacity is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature given Oxygen Transfer Capacity can be measured.

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: Unit

Temperature given Oxygen Transfer Capacity Formula

​GoTemperature given Difference between Saturation D.O and Operation D.O Formula

​GoTemperature when Correction Factor is 0.8 Formula

Temperature given Oxygen Transfer Capacity Example

Temperature given Oxygen Transfer Capacity Solution

Temperature given Oxygen Transfer Capacity Formula Elements

Other Formulas to find Temperature in Aeration Tank

How to Evaluate Temperature given Oxygen Transfer Capacity?

FAQs on Temperature given Oxygen Transfer Capacity

Variable Name

GoTemperature given Difference between Saturation D.O and Operation D.O Formula

GoTemperature when Correction Factor is 0.8 Formula