Log value of Critical Oxygen Deficit Calculator

✖Oxygen Equivalent is the oxidisable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+10% -10%
✖Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self purification constant [f]			+10% -10%
✖Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.ⓘ Deoxygenation Constant [K_D]			+10% -10%
✖Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation.ⓘ Critical time [t_c]			+10% -10%

✖Critical oxygen deficit is 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

`"0.000269"=10^(log10("0.21mg/L"/"0.6")-("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 the condition where the deoxygenation rate exceeds the reoxygenation rate.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.
Self purification constant - Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
Critical time - (Measured in Second) - Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation.

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: 0.6 --> 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(0.00021/0.6)-(2.66203703703704E-06*43200))

Evaluating ... ...

D_c = 0.000268576521276637

STEP 3: Convert Result to Output's Unit

0.000268576521276637 --> No Conversion Required

FINAL ANSWER

0.000268576521276637 ≈ 0.000269 <-- 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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Birsa Institute of Technology (BIT), Sindri

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< 5 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))

Initial Oxygen Deficit in First Stage Equation

Go Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1))

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?

he Critical oxygen deficit 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 is the condition where the deoxygenation rate exceeds the reoxygenation rate. 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(0.00021/0.6)-(2.66203703703704E-06*43200)).

FAQ

What is Log value of Critical Oxygen Deficit?

The Log value of Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate 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)). Oxygen Equivalent is the oxidisable organic matter present in sewage, Self purification constant is the ratio of reoxygenation constant to deoxygenation constant, Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage & Critical time is the time after which the minimum dissolved oxygen occurs can be found by differentiating the equation.

How to calculate Log value of Critical Oxygen Deficit?

The Log value of Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate 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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