Self Purification Constant given Log value of Critical Oxygen Deficit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Self-Purification Constant = Oxygen Equivalent/10^(log10(Critical Oxygen Deficit)+(Deoxygenation Constant*Critical Time))
f = Lt/10^(log10(Dc)+(KD*tc))
This formula uses 1 Functions, 5 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Self-Purification Constant - Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.
Critical Oxygen Deficit - Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.
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.
STEP 1: Convert Input(s) to Base Unit
Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion ​here)
Critical Oxygen Deficit: 0.0003 --> No Conversion Required
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = Lt/10^(log10(Dc)+(KD*tc)) --> 0.00021/10^(log10(0.0003)+(2.66203703703704E-06*43200))
Evaluating ... ...
f = 0.537153042553273
STEP 3: Convert Result to Output's Unit
0.537153042553273 --> No Conversion Required
FINAL ANSWER
0.537153042553273 0.537153 <-- Self-Purification Constant
(Calculation completed in 00.004 seconds)

Credits

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Meerut Institute of Engineering and Technology (MIET), Meerut
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Birsa Institute of Technology (BIT), Sindri
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3 Self Purification Constant Calculators

Self Purification Constant given Log value of Critical Oxygen Deficit
​ Go Self-Purification Constant = Oxygen Equivalent/10^(log10(Critical Oxygen Deficit)+(Deoxygenation Constant*Critical Time))
Self Purification Constant given Critical Oxygen Deficit
​ Go Self-Purification Constant = Oxygen Equivalent*10^(-Deoxygenation Constant*Critical Time)/Critical Oxygen Deficit
Self Purification Constant
​ Go Self-Purification Constant = Reoxygenation Coefficient/Deoxygenation Constant

Self Purification Constant given Log value of Critical Oxygen Deficit Formula

Self-Purification Constant = Oxygen Equivalent/10^(log10(Critical Oxygen Deficit)+(Deoxygenation Constant*Critical Time))
f = Lt/10^(log10(Dc)+(KD*tc))

What is Critical Oxygen Deficit?

The Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.

How to Calculate Self Purification Constant given Log value of Critical Oxygen Deficit?

Self Purification Constant given Log value of Critical Oxygen Deficit calculator uses Self-Purification Constant = Oxygen Equivalent/10^(log10(Critical Oxygen Deficit)+(Deoxygenation Constant*Critical Time)) to calculate the Self-Purification Constant, The Self Purification Constant given Log value of Critical Oxygen Deficit formula is defined as the ratio of reoxygenation constant to deoxygenation constant or( R'/K') and it is equal to 0.50 to 5.0. Self-Purification Constant is denoted by f symbol.

How to calculate Self Purification Constant given Log value of Critical Oxygen Deficit using this online calculator? To use this online calculator for Self Purification Constant given Log value of Critical Oxygen Deficit, enter Oxygen Equivalent (Lt), Critical Oxygen Deficit (Dc), Deoxygenation Constant (KD) & Critical Time (tc) and hit the calculate button. Here is how the Self Purification Constant given Log value of Critical Oxygen Deficit calculation can be explained with given input values -> 0.537153 = 0.00021/10^(log10(0.0003)+(2.66203703703704E-06*43200)).

FAQ

What is Self Purification Constant given Log value of Critical Oxygen Deficit?
The Self Purification Constant given Log value of Critical Oxygen Deficit formula is defined as the ratio of reoxygenation constant to deoxygenation constant or( R'/K') and it is equal to 0.50 to 5.0 and is represented as f = Lt/10^(log10(Dc)+(KD*tc)) or Self-Purification Constant = Oxygen Equivalent/10^(log10(Critical Oxygen Deficit)+(Deoxygenation Constant*Critical Time)). The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage, Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate, 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.
How to calculate Self Purification Constant given Log value of Critical Oxygen Deficit?
The Self Purification Constant given Log value of Critical Oxygen Deficit formula is defined as the ratio of reoxygenation constant to deoxygenation constant or( R'/K') and it is equal to 0.50 to 5.0 is calculated using Self-Purification Constant = Oxygen Equivalent/10^(log10(Critical Oxygen Deficit)+(Deoxygenation Constant*Critical Time)). To calculate Self Purification Constant given Log value of Critical Oxygen Deficit, you need Oxygen Equivalent (Lt), Critical Oxygen Deficit (Dc), Deoxygenation Constant (KD) & Critical Time (tc). With our tool, you need to enter the respective value for Oxygen Equivalent, Critical Oxygen Deficit, Deoxygenation Constant & Critical Time 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 Self-Purification Constant?
In this formula, Self-Purification Constant uses Oxygen Equivalent, Critical Oxygen Deficit, Deoxygenation Constant & Critical Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Self-Purification Constant = Reoxygenation Coefficient/Deoxygenation Constant
  • Self-Purification Constant = Oxygen Equivalent*10^(-Deoxygenation Constant*Critical Time)/Critical Oxygen Deficit
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