Critical Oxygen Deficit in First Stage Equation Calculator

✖Oxygen Equivalent is the oxidisable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+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%

✖Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical Oxygen Deficit in First Stage Equation [D_c]

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Critical Oxygen Deficit in First Stage Equation

Formula

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

Example

`"0.008418"=(("0.21mg/L"/"0.6")^"0.6")/(1-("0.6"-1)*"7.2mg/L")`

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Critical Oxygen Deficit in First Stage Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit)
D_c = ((L_t/f)^f)/(1-(f-1)*D_o)
This formula uses 4 Variables

Variables Used

Critical oxygen deficit - Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.
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

Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)
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

D_c = ((L_t/f)^f)/(1-(f-1)*D_o) --> ((0.00021/0.6)^0.6)/(1-(0.6-1)*0.0072)

Evaluating ... ...

D_c = 0.00841766922792152

STEP 3: Convert Result to Output's Unit

0.00841766922792152 --> No Conversion Required

FINAL ANSWER

0.00841766922792152 ≈ 0.008418 <-- Critical oxygen deficit

(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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< 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 in First Stage Equation Formula

Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit)
D_c = ((L_t/f)^f)/(1-(f-1)*D_o)

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 Critical Oxygen Deficit in First Stage Equation?

Critical Oxygen Deficit in First Stage Equation calculator uses Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit) to calculate the Critical oxygen deficit, The Critical Oxygen Deficit in First Stage Equation is the condition where the deoxygenation rate exceeds the reoxygenation rate. Critical oxygen deficit is denoted by D_c symbol.

How to calculate Critical Oxygen Deficit in First Stage Equation using this online calculator? To use this online calculator for Critical Oxygen Deficit in First Stage Equation, enter Oxygen Equivalent (L_t), Self purification constant (f) & Initial oxygen deficit (D_o) and hit the calculate button. Here is how the Critical Oxygen Deficit in First Stage Equation calculation can be explained with given input values -> 0.008418 = ((0.00021/0.6)^0.6)/(1-(0.6-1)*0.0072).

FAQ

What is Critical Oxygen Deficit in First Stage Equation?

The Critical Oxygen Deficit in First Stage Equation is the condition where the deoxygenation rate exceeds the reoxygenation rate and is represented as D_c = ((L_t/f)^f)/(1-(f-1)*D_o) or Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit). Oxygen Equivalent is the oxidisable organic matter present in sewage, 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 Critical Oxygen Deficit in First Stage Equation?

The Critical Oxygen Deficit in First Stage Equation is the condition where the deoxygenation rate exceeds the reoxygenation rate is calculated using Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit). To calculate Critical Oxygen Deficit in First Stage Equation, you need Oxygen Equivalent (L_t), Self purification constant (f) & Initial oxygen deficit (D_o). With our tool, you need to enter the respective value for Oxygen Equivalent, 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 Critical oxygen deficit?

In this formula, Critical oxygen deficit uses Oxygen Equivalent, Self purification constant & Initial oxygen deficit. 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*(10^(-Deoxygenation Constant*Critical time))/Self purification constant

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