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Critical Oxygen Deficit Formula

GoCritical Oxygen Deficit given Self Purification Constant Formula

GoCritical Oxygen Deficit in First Stage Equation Formula

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Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate. Check FAQs

D c = K D \cdot L t \cdot \frac{10^{- K D \cdot t c}}{K R}

D_c - Critical Oxygen Deficit?K_D - Deoxygenation Constant?L_t - Oxygen Equivalent?t_c - Critical Time?K_R - Reoxygenation Coefficient?

Critical Oxygen Deficit Example

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Here is how the Critical Oxygen Deficit equation looks like with Values.

Here is how the Critical Oxygen Deficit equation looks like with Units.

Here is how the Critical Oxygen Deficit equation looks like.

0.0002 = 0.23 \cdot 0.21 \cdot \frac{10^{- 0.23 \cdot 0.5}}{0.22}

0.0002 = 0.23d⁻¹ \cdot 0.21mg/L \cdot \frac{10^{- 0.23d⁻¹ \cdot 0.5d}}{0.22d⁻¹}

0.0002 = 0.23 \cdot 0.21 \cdot \frac{10^{- 0.23 \cdot 0.5}}{0.22}

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Critical Oxygen Deficit Solution

Follow our step by step solution on how to calculate Critical Oxygen Deficit?

FIRST Step Consider the formula

D c = K D \cdot L t \cdot \frac{10^{- K D \cdot t c}}{K R}

Next Step Substitute values of Variables

∴

D c = 0.23d⁻¹ \cdot 0.21mg/L \cdot \frac{10^{- 0.23d⁻¹ \cdot 0.5d}}{0.22d⁻¹}

Next Step Convert Units

∴

D c = 2.7E-6s⁻¹ \cdot 0.0002kg/m³ \cdot \frac{10^{- 2.7E-6s⁻¹ \cdot 43200s}}{2.5E-6s⁻¹}

Next Step Prepare to Evaluate

∴

D c = 2.7E-6 \cdot 0.0002 \cdot \frac{10^{- 2.7E-6 \cdot 43200}}{2.5E-6}

Next Step Evaluate

∴

D c = 0.000168470726982617

LAST Step Rounding Answer

∴

D c = 0.0002

Critical Oxygen Deficit Formula Elements

Variables

Critical Oxygen Deficit

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

Symbol: D_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Critical Oxygen Deficit

Deoxygenation Constant

Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.

Symbol: K_D

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Deoxygenation Constant

Oxygen Equivalent

The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.

Symbol: L_t

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Oxygen Equivalent

Critical Time

Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time.

Symbol: t_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Critical Time

Reoxygenation Coefficient

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.

Symbol: K_R

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Reoxygenation Coefficient

Other Formulas to find Critical Oxygen Deficit

Go Critical Oxygen Deficit given Self Purification Constant

D c = L t \cdot \frac{10^{- K D \cdot t c}}{f}

Go Critical Oxygen Deficit in First Stage Equation

D c = \frac{{(\frac{L t}{f})}^{f}}{1 - (f - 1) \cdot D o}

How to Evaluate Critical Oxygen Deficit?

Critical Oxygen Deficit evaluator uses Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient to evaluate 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 evaluate Critical Oxygen Deficit using this online evaluator? To use this online evaluator 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.

FAQs on Critical Oxygen Deficit

What is the formula to find Critical Oxygen Deficit?

The formula of Critical Oxygen Deficit is expressed as Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient. Here is an example- 0.000185 = 2.66203703703704E-06*0.00021*(10^(-2.66203703703704E-06*43200))/2.5462962962963E-06.

How to calculate Critical Oxygen Deficit?

With Deoxygenation Constant (K_D), Oxygen Equivalent (L_t), Critical Time (t_c) & Reoxygenation Coefficient (K_R) we can find Critical Oxygen Deficit using the formula - Critical Oxygen Deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical Time))/Reoxygenation Coefficient.

What are the other ways to Calculate Critical Oxygen Deficit?

Here are the different ways to Calculate Critical Oxygen Deficit-

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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: Value
: Unit

Critical Oxygen Deficit Formula

​GoCritical Oxygen Deficit given Self Purification Constant Formula

​GoCritical Oxygen Deficit in First Stage Equation Formula

Critical Oxygen Deficit Example

Critical Oxygen Deficit Solution

Critical Oxygen Deficit Formula Elements

Other Formulas to find Critical Oxygen Deficit

How to Evaluate Critical Oxygen Deficit?

FAQs on Critical Oxygen Deficit

Variable Name

GoCritical Oxygen Deficit given Self Purification Constant Formula

GoCritical Oxygen Deficit in First Stage Equation Formula