Oxygen Equivalent in First Stage Equation Calculator

✖Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical oxygen deficit [D_c]			+10% -10%
✖Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self purification constant [f]			+10% -10%
✖Initial oxygen deficit is the amount of oxygen required at initial levels.ⓘ Initial oxygen deficit [D_o]			+10% -10%

✖Oxygen Equivalent is the oxidisable organic matter present in sewage.ⓘ Oxygen Equivalent in First Stage Equation [L_t]

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Oxygen Equivalent in First Stage Equation

Formula

`"L"_{"t"} = (("D"_{"c"}*"f")^("f"-1)*"f"*(1-("f"-1)*"D"_{"o"})^(1/"f"))`

Example

`"361.1702mg/L"=(("6"*"0.6")^("0.6"-1)*"0.6"*(1-("0.6"-1)*"7.2mg/L")^(1/"0.6"))`

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Oxygen Equivalent in First Stage Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
L_t = ((D_c*f)^(f-1)*f*(1-(f-1)*D_o)^(1/f))
This formula uses 4 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.
Initial oxygen deficit - (Measured in Kilogram per Cubic Meter) - Initial oxygen deficit is the amount of oxygen required at initial levels.

STEP 1: Convert Input(s) to Base Unit

Critical oxygen deficit: 6 --> No Conversion Required
Self purification constant: 0.6 --> No Conversion Required
Initial oxygen deficit: 7.2 Milligram per Liter --> 0.0072 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_t = ((D_c*f)^(f-1)*f*(1-(f-1)*D_o)^(1/f)) --> ((6*0.6)^(0.6-1)*0.6*(1-(0.6-1)*0.0072)^(1/0.6))

Evaluating ... ...

L_t = 0.361170164931466

STEP 3: Convert Result to Output's Unit

0.361170164931466 Kilogram per Cubic Meter -->361.170164931466 Milligram per Liter (Check conversion here)

FINAL ANSWER

361.170164931466 ≈ 361.1702 Milligram per Liter <-- Oxygen Equivalent

(Calculation completed in 00.004 seconds)

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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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< 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 in First Stage Equation Formula

What is the use of first stage equation?

First stage equation is used in predicting the oxygen content at any point along the stream and helps in estimating the degree of wastewater treatment required.

How to Calculate Oxygen Equivalent in First Stage Equation?

Oxygen Equivalent in First Stage Equation calculator uses 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)) to calculate the Oxygen Equivalent, The Oxygen Equivalent in First Stage Equation is defined as the amount of oxygen equivalents consumed in the chemical oxidation of organic matter by strong oxidant. Oxygen Equivalent is denoted by L_t symbol.

How to calculate Oxygen Equivalent in First Stage Equation using this online calculator? To use this online calculator for Oxygen Equivalent in First Stage Equation, enter Critical oxygen deficit (D_c), Self purification constant (f) & Initial oxygen deficit (D_o) and hit the calculate button. Here is how the Oxygen Equivalent in First Stage Equation calculation can be explained with given input values -> 361170.2 = ((6*0.6)^(0.6-1)*0.6*(1-(0.6-1)*0.0072)^(1/0.6)).

FAQ

What is Oxygen Equivalent in First Stage Equation?

The Oxygen Equivalent in First Stage Equation is defined as the amount of oxygen equivalents consumed in the chemical oxidation of organic matter by strong oxidant and is represented as L_t = ((D_c*f)^(f-1)*f*(1-(f-1)*D_o)^(1/f)) or 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)). 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 & Initial oxygen deficit is the amount of oxygen required at initial levels.

How to calculate Oxygen Equivalent in First Stage Equation?

The Oxygen Equivalent in First Stage Equation 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)^(Self purification constant-1)*Self purification constant*(1-(Self purification constant-1)*Initial oxygen deficit)^(1/Self purification constant)). To calculate Oxygen Equivalent in First Stage Equation, you need Critical oxygen deficit (D_c), Self purification constant (f) & Initial oxygen deficit (D_o). With our tool, you need to enter the respective value for Critical oxygen deficit, Self purification constant & Initial oxygen deficit 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 & Initial oxygen deficit. 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-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))

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