Oxygen Equivalent given Critical Time in Self Purification Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))
Lt = Dc*(f-1)/(1-((10^(tc*KD*(f-1)))/f))
This formula uses 5 Variables
Variables Used
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.
Critical oxygen deficit - Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.
Self purification constant - Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.
Critical time - (Measured in Second) - Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
STEP 1: Convert Input(s) to Base Unit
Critical oxygen deficit: 6 --> No Conversion Required
Self purification constant: 0.6 --> No Conversion Required
Critical time: 0.5 Day --> 43200 Second (Check conversion here)
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lt = Dc*(f-1)/(1-((10^(tc*KD*(f-1)))/f)) --> 6*(0.6-1)/(1-((10^(43200*2.66203703703704E-06*(0.6-1)))/0.6))
Evaluating ... ...
Lt = 4.80805218073385
STEP 3: Convert Result to Output's Unit
4.80805218073385 Kilogram per Cubic Meter -->4808.05218073385 Milligram per Liter (Check conversion here)
FINAL ANSWER
4808.05218073385 4808.052 Milligram per Liter <-- Oxygen Equivalent
(Calculation completed in 00.004 seconds)

Credits

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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6 Oxygen Equivalent Calculators

Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation
Go Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days))
Oxygen Equivalent in First Stage Equation
Go Oxygen Equivalent = ((Critical oxygen deficit*Self purification constant)^(Self purification constant-1)*Self purification constant*(1-(Self purification constant-1)*Initial oxygen deficit)^(1/Self purification constant))
Oxygen Equivalent given Critical Time in Self Purification Factor
Go Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))
Oxygen Equivalent given Critical Oxygen Deficit
Go Oxygen Equivalent = Critical oxygen deficit*Reoxygenation coefficient/(Deoxygenation Constant*10^(-Deoxygenation Constant*Critical time))
Oxygen Equivalent given Log value of Critical Oxygen Deficit
Go Oxygen Equivalent = Self purification constant*10^(log10(Critical oxygen deficit)+(Deoxygenation Constant*Critical time))
Oxygen Equivalent given Self Purification Constant with Critical Oxygen Deficit
Go Oxygen Equivalent = Critical oxygen deficit*Self purification constant/(10^(-Deoxygenation Constant*Critical time))

Oxygen Equivalent given Critical Time in Self Purification Factor Formula

Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))
Lt = Dc*(f-1)/(1-((10^(tc*KD*(f-1)))/f))

What is self purification factor?

The ratio of reoxygenation constant to deoxygenation constant (or R'/K') is called the self purification constant f and it is equal to 0.50 to 5.0.

How to Calculate Oxygen Equivalent given Critical Time in Self Purification Factor?

Oxygen Equivalent given Critical Time in Self Purification Factor calculator uses Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant)) to calculate the Oxygen Equivalent, The Oxygen Equivalent given Critical Time in Self Purification Factor is defined as the amount of oxygen equivalents consumed in the chemical oxidation of organic matter by strong oxidant. Oxygen Equivalent is denoted by Lt symbol.

How to calculate Oxygen Equivalent given Critical Time in Self Purification Factor using this online calculator? To use this online calculator for Oxygen Equivalent given Critical Time in Self Purification Factor, enter Critical oxygen deficit (Dc), Self purification constant (f), Critical time (tc) & Deoxygenation Constant (KD) and hit the calculate button. Here is how the Oxygen Equivalent given Critical Time in Self Purification Factor calculation can be explained with given input values -> 4.8E+6 = 6*(0.6-1)/(1-((10^(43200*2.66203703703704E-06*(0.6-1)))/0.6)).

FAQ

What is Oxygen Equivalent given Critical Time in Self Purification Factor?
The Oxygen Equivalent given Critical Time in Self Purification Factor is defined as the amount of oxygen equivalents consumed in the chemical oxidation of organic matter by strong oxidant and is represented as Lt = Dc*(f-1)/(1-((10^(tc*KD*(f-1)))/f)) or Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant)). Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate, Self purification constant is the ratio of reoxygenation constant to deoxygenation constant, Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation & Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
How to calculate Oxygen Equivalent given Critical Time in Self Purification Factor?
The Oxygen Equivalent given Critical Time in Self Purification Factor is defined as the amount of oxygen equivalents consumed in the chemical oxidation of organic matter by strong oxidant is calculated using Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant)). To calculate Oxygen Equivalent given Critical Time in Self Purification Factor, you need Critical oxygen deficit (Dc), Self purification constant (f), Critical time (tc) & Deoxygenation Constant (KD). With our tool, you need to enter the respective value for Critical oxygen deficit, Self purification constant, Critical time & Deoxygenation 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 Oxygen Equivalent?
In this formula, Oxygen Equivalent uses Critical oxygen deficit, Self purification constant, Critical time & Deoxygenation Constant. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Oxygen Equivalent = Critical oxygen deficit*Reoxygenation coefficient/(Deoxygenation Constant*10^(-Deoxygenation Constant*Critical time))
  • Oxygen Equivalent = Critical oxygen deficit*Self purification constant/(10^(-Deoxygenation Constant*Critical time))
  • Oxygen Equivalent = Self purification constant*10^(log10(Critical oxygen deficit)+(Deoxygenation Constant*Critical time))
  • Oxygen Equivalent = ((Critical oxygen deficit*Self purification constant)^(Self purification constant-1)*Self purification constant*(1-(Self purification constant-1)*Initial oxygen deficit)^(1/Self purification constant))
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