Critical Oxygen Deficit given Self Purification Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant
Dc = Lt*(10^(-KD*tc))/f
This formula uses 5 Variables
Variables Used
Critical Oxygen Deficit - Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.
Critical Time - (Measured in Second) - Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time.
Self-Purification Constant - Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.
STEP 1: Convert Input(s) to Base Unit
Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion ​here)
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion ​here)
Critical Time: 0.5 Day --> 43200 Second (Check conversion ​here)
Self-Purification Constant: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dc = Lt*(10^(-KD*tc))/f --> 0.00021*(10^(-2.66203703703704E-06*43200))/0.9
Evaluating ... ...
Dc = 0.000179051014184424
STEP 3: Convert Result to Output's Unit
0.000179051014184424 --> No Conversion Required
FINAL ANSWER
0.000179051014184424 0.000179 <-- Critical Oxygen Deficit
(Calculation completed in 00.020 seconds)

Credits

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Critical Oxygen Deficit Calculators

Critical Oxygen Deficit in First Stage Equation
​ LaTeX ​ Go Critical Oxygen Deficit = ((Oxygen Equivalent/Self-Purification Constant)^Self-Purification Constant)/(1-(Self-Purification Constant-1)*Initial Oxygen Deficit)
Critical Oxygen Deficit
​ LaTeX ​ Go Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient
Critical Oxygen Deficit given Self Purification Constant
​ LaTeX ​ Go Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant

Critical Oxygen Deficit given Self Purification Constant Formula

​LaTeX ​Go
Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant
Dc = Lt*(10^(-KD*tc))/f

What is Self Purification Constant?.

Self Purification Constant is the ratio of reoxygenation coefficient to deoxygenation coefficient or (R'/K') and it is equal to 0.50 to 5.0.

How to Calculate Critical Oxygen Deficit given Self Purification Constant?

Critical Oxygen Deficit given Self Purification Constant calculator uses Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant to calculate the Critical Oxygen Deficit, The Critical Oxygen Deficit given Self Purification Constant formula is defined as the condition where deoxygenation rate exceeds reoxygenation rate. Critical Oxygen Deficit is denoted by Dc symbol.

How to calculate Critical Oxygen Deficit given Self Purification Constant using this online calculator? To use this online calculator for Critical Oxygen Deficit given Self Purification Constant, enter Oxygen Equivalent (Lt), Deoxygenation Constant (KD), Critical Time (tc) & Self-Purification Constant (f) and hit the calculate button. Here is how the Critical Oxygen Deficit given Self Purification Constant calculation can be explained with given input values -> 0.000269 = 0.00021*(10^(-2.66203703703704E-06*43200))/0.9.

FAQ

What is Critical Oxygen Deficit given Self Purification Constant?
The Critical Oxygen Deficit given Self Purification Constant formula is defined as the condition where deoxygenation rate exceeds reoxygenation rate and is represented as Dc = Lt*(10^(-KD*tc))/f or Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant. The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage, Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage, Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time & Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.
How to calculate Critical Oxygen Deficit given Self Purification Constant?
The Critical Oxygen Deficit given Self Purification Constant formula is defined as the condition where deoxygenation rate exceeds reoxygenation rate is calculated using Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant. To calculate Critical Oxygen Deficit given Self Purification Constant, you need Oxygen Equivalent (Lt), Deoxygenation Constant (KD), Critical Time (tc) & Self-Purification Constant (f). With our tool, you need to enter the respective value for Oxygen Equivalent, Deoxygenation Constant, Critical Time & Self-Purification Constant 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 Oxygen Equivalent, Deoxygenation Constant, Critical Time & Self-Purification Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient
  • Critical Oxygen Deficit = ((Oxygen Equivalent/Self-Purification Constant)^Self-Purification Constant)/(1-(Self-Purification Constant-1)*Initial Oxygen Deficit)
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