Critical Oxygen Deficit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient
Dc = KD*Lt*(10^(-KD*tc))/KR
This formula uses 5 Variables
Variables Used
Critical oxygen deficit - Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.
Critical time - (Measured in Second) - Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation.
Reoxygenation coefficient - (Measured in 1 Per Second) - Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient.
STEP 1: Convert Input(s) to Base Unit
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)
Critical time: 0.5 Day --> 43200 Second (Check conversion here)
Reoxygenation coefficient: 0.1 1 Per Day --> 1.15740740740741E-06 1 Per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dc = KD*Lt*(10^(-KD*tc))/KR --> 2.66203703703704E-06*0.00021*(10^(-2.66203703703704E-06*43200))/1.15740740740741E-06
Evaluating ... ...
Dc = 0.000370635599361758
STEP 3: Convert Result to Output's Unit
0.000370635599361758 --> No Conversion Required
FINAL ANSWER
0.000370635599361758 0.000371 <-- Critical oxygen deficit
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 500+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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3 Critical Oxygen Deficit Calculators

Critical Oxygen Deficit in First Stage Equation
Go Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit)
Critical Oxygen Deficit
Go Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient
Critical Oxygen Deficit given Self Purification Constant
Go Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant

Critical Oxygen Deficit Formula

Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient
Dc = KD*Lt*(10^(-KD*tc))/KR

What is deoxygenation rate?

The Deoxygenation constant is the BOD rate constant at given temperature on base 10. Its unit is per day.

How to Calculate Critical Oxygen Deficit?

Critical Oxygen Deficit calculator uses Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient to calculate the Critical oxygen deficit, The Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate. Critical oxygen deficit is denoted by Dc symbol.

How to calculate Critical Oxygen Deficit using this online calculator? To use this online calculator for Critical Oxygen Deficit, enter Deoxygenation Constant (KD), Oxygen Equivalent (Lt), Critical time (tc) & Reoxygenation coefficient (KR) and hit the calculate button. Here is how the Critical Oxygen Deficit calculation can be explained with given input values -> 0.000371 = 2.66203703703704E-06*0.00021*(10^(-2.66203703703704E-06*43200))/1.15740740740741E-06.

FAQ

What is Critical Oxygen Deficit?
The Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate and is represented as Dc = KD*Lt*(10^(-KD*tc))/KR or Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient. Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage, Oxygen Equivalent is the oxidisable organic matter present in sewage, Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation & Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient.
How to calculate Critical Oxygen Deficit?
The Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate is calculated using Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient. To calculate Critical Oxygen Deficit, you need Deoxygenation Constant (KD), Oxygen Equivalent (Lt), Critical time (tc) & Reoxygenation coefficient (KR). With our tool, you need to enter the respective value for Deoxygenation Constant, Oxygen Equivalent, Critical time & Reoxygenation coefficient 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 Critical oxygen deficit?
In this formula, Critical oxygen deficit uses Deoxygenation Constant, Oxygen Equivalent, Critical time & Reoxygenation coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant
  • Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit)
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