✖The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+10% -10%
✖Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self-Purification Constant [f]			+10% -10%
✖Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.ⓘ Deoxygenation Constant [K_D]			+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%

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

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Formula

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Log value of Critical Oxygen Deficit

Formula

`"D"_{"c"} = 10^(log10("L"_{"t"}/"f")-("K"_{"D"}*"t"_{"c"}))`

Example

`"0.000179"=10^(log10("0.21mg/L"/"0.9")-("0.23d⁻¹"*"0.5d"))`

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Log value of Critical Oxygen Deficit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time))
D_c = 10^(log10(L_t/f)-(K_D*t_c))
This formula uses 1 Functions, 5 Variables

Functions Used

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., log10(Number)

Variables Used

Critical Oxygen Deficit - Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.
Self-Purification Constant - Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is referred as the value obtained after decomposing of oxygen 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.

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: 0.9 --> No Conversion Required
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
Critical Time: 0.5 Day --> 43200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = 10^(log10(L_t/f)-(K_D*t_c)) --> 10^(log10(0.00021/0.9)-(2.66203703703704E-06*43200))

Evaluating ... ...

D_c = 0.000179051014184424

STEP 3: Convert Result to Output's Unit

0.000179051014184424 --> No Conversion Required

FINAL ANSWER

0.000179051014184424 ≈ 0.000179 <-- Critical Oxygen Deficit

(Calculation completed in 00.004 seconds)

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< 4 Oxygen Deficit Calculators

DO Deficit using Streeter-Phelps Equation

Go Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(Reoxygenation Coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in Days)-10^(-Reoxygenation Coefficient*Time in Days)+Initial Oxygen Deficit*10^(-Reoxygenation Coefficient*Time in Days))

Oxygen Deficit given Critical Time in Self Purification Factor

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

Log value of Critical Oxygen Deficit

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

Oxygen Deficit

Go Oxygen Deficit = Saturated Dissolved Oxygen-Actual Dissolved Oxygen

Log value of Critical Oxygen Deficit Formula

Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time))
D_c = 10^(log10(L_t/f)-(K_D*t_c))

What is Deoxygenation Constant?

Deoxygenation Constant is the condition where the deoxygenation rate exceeds the reoxygenation rate.

How to Calculate Log value of Critical Oxygen Deficit?

Log value of Critical Oxygen Deficit calculator uses Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time)) to calculate 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 calculate Log value of Critical Oxygen Deficit using this online calculator? To use this online calculator 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. Here is how the Log value of Critical Oxygen Deficit calculation can be explained with given input values -> 0.000269 = 10^(log10(0.00021/0.9)-(2.66203703703704E-06*43200)).

FAQ

What is Log value of 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 and is represented as D_c = 10^(log10(L_t/f)-(K_D*t_c)) or Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time)). The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage, Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant, Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage & Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time.

How to calculate Log value of 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 is calculated using Critical Oxygen Deficit = 10^(log10(Oxygen Equivalent/Self-Purification Constant)-(Deoxygenation Constant*Critical Time)). To calculate Log value of Critical Oxygen Deficit, you need Oxygen Equivalent (L_t), Self-Purification Constant (f), Deoxygenation Constant (K_D) & Critical Time (t_c). With our tool, you need to enter the respective value for Oxygen Equivalent, Self-Purification Constant, Deoxygenation Constant & Critical Time 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, Deoxygenation Constant & Critical Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

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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