✖Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.ⓘ Deoxygenation Constant [K_D]			+10% -10%
✖The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+10% -10%
✖Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time.ⓘ Critical Time [t_c]			+10% -10%
✖Reoxygenation Coefficient is referred as the parameter used in water quality modeling to describe the rate at which oxygen is transferred from the atmosphere to the water body.ⓘ Reoxygenation Coefficient [K_R]			+10% -10%

✖Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical Oxygen Deficit [D_c]

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Formula

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Critical Oxygen Deficit

Formula

`"D"_{"c"} = "K"_{"D"}*"L"_{"t"}*(10^(-"K"_{"D"}*"t"_{"c"}))/"K"_{"R"}`

Example

`"0.000168"="0.23d⁻¹"*"0.21mg/L"*(10^(-"0.23d⁻¹"*"0.5d"))/"0.22d⁻¹"`

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Critical Oxygen Deficit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient
D_c = K_D*L_t*(10^(-K_D*t_c))/K_R
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.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - The Oxygen Equivalent is referred as the oxidizable organic matter present 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.
Reoxygenation Coefficient - (Measured in 1 Per Second) - Reoxygenation Coefficient is referred as the parameter used in water quality modeling to describe the rate at which oxygen is transferred from the atmosphere to the water body.

STEP 1: Convert Input(s) to Base Unit

Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)
Critical Time: 0.5 Day --> 43200 Second (Check conversion here)
Reoxygenation Coefficient: 0.22 1 Per Day --> 2.5462962962963E-06 1 Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = K_D*L_t*(10^(-K_D*t_c))/K_R --> 2.66203703703704E-06*0.00021*(10^(-2.66203703703704E-06*43200))/2.5462962962963E-06

Evaluating ... ...

D_c = 0.000168470726982617

STEP 3: Convert Result to Output's Unit

0.000168470726982617 --> No Conversion Required

FINAL ANSWER

0.000168470726982617 ≈ 0.000168 <-- 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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< 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 Formula

Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient
D_c = K_D*L_t*(10^(-K_D*t_c))/K_R

What is Deoxygenation Rate?

Deoxygenation Rate is a measure of how quickly dissolved oxygen is consumed by biological and chemical processes in a water body. This rate is crucial for understanding the health and sustainability of aquatic ecosystems, as it impacts the ability of the water to support aquatic life.

How to Calculate Critical Oxygen Deficit?

Critical Oxygen Deficit calculator uses Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient to calculate the Critical Oxygen Deficit, The Critical Oxygen Deficit formula is defined as 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 using this online calculator? To use this online calculator for Critical Oxygen Deficit, enter Deoxygenation Constant (K_D), Oxygen Equivalent (L_t), Critical Time (t_c) & Reoxygenation Coefficient (K_R) and hit the calculate button. Here is how the Critical Oxygen Deficit calculation can be explained with given input values -> 0.000185 = 2.66203703703704E-06*0.00021*(10^(-2.66203703703704E-06*43200))/2.5462962962963E-06.

FAQ

What is Critical Oxygen Deficit?

The Critical Oxygen Deficit formula is defined as the condition where the deoxygenation rate exceeds the reoxygenation rate and is represented as D_c = K_D*L_t*(10^(-K_D*t_c))/K_R or Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient. Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage, The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage, Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time & Reoxygenation Coefficient is referred as the parameter used in water quality modeling to describe the rate at which oxygen is transferred from the atmosphere to the water body.

How to calculate Critical Oxygen Deficit?

The Critical Oxygen Deficit formula is defined as the condition where the deoxygenation rate exceeds the reoxygenation rate is calculated using Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient. To calculate Critical Oxygen Deficit, you need Deoxygenation Constant (K_D), Oxygen Equivalent (L_t), Critical Time (t_c) & Reoxygenation Coefficient (K_R). With our tool, you need to enter the respective value for Deoxygenation Constant, Oxygen Equivalent, Critical Time & Reoxygenation Coefficient 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 Deoxygenation Constant, Oxygen Equivalent, Critical Time & Reoxygenation Coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -

Critical Oxygen Deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Self-Purification Constant
Critical Oxygen Deficit = ((Oxygen Equivalent/Self-Purification Constant)^Self-Purification Constant)/(1-(Self-Purification Constant-1)*Initial Oxygen Deficit)

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