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Oxygen Deficit given Critical Time in Self Purification Factor 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 = (\frac{L t}{f - 1}) \cdot (1 - (\frac{10^{t c \cdot K D \cdot (f - 1)}}{f}))

D_c - Critical Oxygen Deficit?L_t - Oxygen Equivalent?f - Self-Purification Constant?t_c - Critical Time?K_D - Deoxygenation Constant?

Oxygen Deficit given Critical Time in Self Purification Factor Example

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Here is how the Oxygen Deficit given Critical Time in Self Purification Factor equation looks like with Values.

Here is how the Oxygen Deficit given Critical Time in Self Purification Factor equation looks like with Units.

Here is how the Oxygen Deficit given Critical Time in Self Purification Factor equation looks like.

0.0002 = (\frac{0.21}{0.9 - 1}) \cdot (1 - (\frac{10^{0.5 \cdot 0.23 \cdot (0.9 - 1)}}{0.9}))

0.0002 = (\frac{0.21mg/L}{0.9 - 1}) \cdot (1 - (\frac{10^{0.5d \cdot 0.23d⁻¹ \cdot (0.9 - 1)}}{0.9}))

0.0002 = (\frac{0.21}{0.9 - 1}) \cdot (1 - (\frac{10^{0.5 \cdot 0.23 \cdot (0.9 - 1)}}{0.9}))

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Oxygen Deficit given Critical Time in Self Purification Factor Solution

Follow our step by step solution on how to calculate Oxygen Deficit given Critical Time in Self Purification Factor?

FIRST Step Consider the formula

D c = (\frac{L t}{f - 1}) \cdot (1 - (\frac{10^{t c \cdot K D \cdot (f - 1)}}{f}))

Next Step Substitute values of Variables

∴

D c = (\frac{0.21mg/L}{0.9 - 1}) \cdot (1 - (\frac{10^{0.5d \cdot 0.23d⁻¹ \cdot (0.9 - 1)}}{0.9}))

Next Step Convert Units

∴

D c = (\frac{0.0002kg/m³}{0.9 - 1}) \cdot (1 - (\frac{10^{43200s \cdot 2.7E-6s⁻¹ \cdot (0.9 - 1)}}{0.9}))

Next Step Prepare to Evaluate

∴

D c = (\frac{0.0002}{0.9 - 1}) \cdot (1 - (\frac{10^{43200 \cdot 2.7E-6 \cdot (0.9 - 1)}}{0.9}))

Next Step Evaluate

∴

D c = 0.000172358165766811

LAST Step Rounding Answer

∴

D c = 0.0002

Oxygen Deficit given Critical Time in Self Purification Factor 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

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

Self-Purification Constant

Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Self-Purification Constant

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

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

Other Formulas to find Critical Oxygen Deficit

Go Log value of Critical Oxygen Deficit

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

Other formulas in Oxygen Deficit category

Go Oxygen Deficit

D = S DO - A DO

Go DO Deficit using Streeter-Phelps Equation

D = (K D \cdot \frac{L}{K R - K D}) \cdot (10^{- K D \cdot t} - 10^{- K R \cdot t} + D o \cdot 10^{- K R \cdot t})

How to Evaluate Oxygen Deficit given Critical Time in Self Purification Factor?

Oxygen Deficit given Critical Time in Self Purification Factor evaluator uses Critical Oxygen Deficit = (Oxygen Equivalent/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant)) to evaluate the Critical Oxygen Deficit, The Oxygen Deficit given Critical Time in Self Purification Factor formula is defined as the difference between the saturation concentration of dissolved oxygen (DO) and the actual concentration of DO present in the water. Critical Oxygen Deficit is denoted by D_c symbol.

How to evaluate Oxygen Deficit given Critical Time in Self Purification Factor using this online evaluator? To use this online evaluator for Oxygen Deficit given Critical Time in Self Purification Factor, enter Oxygen Equivalent (L_t), Self-Purification Constant (f), Critical Time (t_c) & Deoxygenation Constant (K_D) and hit the calculate button.

FAQs on Oxygen Deficit given Critical Time in Self Purification Factor

What is the formula to find Oxygen Deficit given Critical Time in Self Purification Factor?

The formula of Oxygen Deficit given Critical Time in Self Purification Factor is expressed as Critical Oxygen Deficit = (Oxygen Equivalent/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant)). Here is an example- 0.000262 = (0.00021/(0.9-1))*(1-((10^(43200*2.66203703703704E-06*(0.9-1)))/0.9)).

How to calculate Oxygen Deficit given Critical Time in Self Purification Factor?

With Oxygen Equivalent (L_t), Self-Purification Constant (f), Critical Time (t_c) & Deoxygenation Constant (K_D) we can find Oxygen Deficit given Critical Time in Self Purification Factor using the formula - Critical Oxygen Deficit = (Oxygen Equivalent/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant)).

What are the other ways to Calculate Critical Oxygen Deficit?

Here are the different ways to Calculate Critical Oxygen Deficit-

Critical Oxygen Deficit=10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time))

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Oxygen Deficit given Critical Time in Self Purification Factor Formula

​GoLog value of Critical Oxygen Deficit Formula

Oxygen Deficit given Critical Time in Self Purification Factor Example

Oxygen Deficit given Critical Time in Self Purification Factor Solution

Oxygen Deficit given Critical Time in Self Purification Factor Formula Elements

Other Formulas to find Critical Oxygen Deficit

Other formulas in Oxygen Deficit category

How to Evaluate Oxygen Deficit given Critical Time in Self Purification Factor?

FAQs on Oxygen Deficit given Critical Time in Self Purification Factor

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GoLog value of Critical Oxygen Deficit Formula