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Log value of Critical Oxygen Deficit Formula

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

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

Log value of Critical Oxygen Deficit Example

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

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

Here is how the Log value of Critical Oxygen Deficit equation looks like.

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

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

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

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Log value of Critical Oxygen Deficit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

D c = 0.000179051014184424

LAST Step Rounding Answer

∴

D c = 0.0002

Log value of Critical Oxygen Deficit Formula Elements

Variables

Functions

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

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

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

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Critical Oxygen Deficit

Go Oxygen Deficit given Critical Time in Self Purification Factor

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

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 Log value of Critical Oxygen Deficit?

Log value of Critical Oxygen Deficit evaluator uses Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time)) to evaluate the Critical Oxygen Deficit, The Log value of Critical Oxygen Deficit formula is defined as the value is often used in models to predict the point at which dissolved oxygen levels are at their lowest. Critical Oxygen Deficit is denoted by D_c symbol.

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

FAQs on Log value of Critical Oxygen Deficit

What is the formula to find Log value of Critical Oxygen Deficit?

The formula of Log value of Critical Oxygen Deficit is expressed as Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time)). Here is an example- 0.000269 = 10^(log10(0.00021/0.9)-(2.66203703703704E-06*43200)).

How to calculate Log value of Critical Oxygen Deficit?

With Oxygen Equivalent (L_t), Self-Purification Constant (f), Deoxygenation Constant (K_D) & Critical Time (t_c) we can find Log value of Critical Oxygen Deficit using the formula - Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time)). This formula also uses Common Logarithm (log10) function(s).

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/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant))

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Log value of Critical Oxygen Deficit Formula

​GoOxygen Deficit given Critical Time in Self Purification Factor Formula

Log value of Critical Oxygen Deficit Example

Log value of Critical Oxygen Deficit Solution

Log value of Critical Oxygen Deficit Formula Elements

Other Formulas to find Critical Oxygen Deficit

Other formulas in Oxygen Deficit category

How to Evaluate Log value of Critical Oxygen Deficit?

FAQs on Log value of Critical Oxygen Deficit

Variable Name

GoOxygen Deficit given Critical Time in Self Purification Factor Formula