Critical Oxygen Deficit given Self Purification Constant Calculator

✖Oxygen Equivalent is the oxidisable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+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%
✖Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self purification constant [f]			+10% -10%

✖Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical Oxygen Deficit given Self Purification Constant [D_c]

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Formula

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Critical Oxygen Deficit given Self Purification Constant

Formula

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

Example

`"0.000269"="0.21mg/L"*(10^(-"0.23d⁻¹"*"0.5d"))/"0.6"`

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Critical Oxygen Deficit given Self Purification Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant
D_c = L_t*(10^(-K_D*t_c))/f
This formula uses 5 Variables

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.
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.
Self purification constant - Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.

STEP 1: Convert Input(s) to Base Unit

Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)
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)
Self purification constant: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = L_t*(10^(-K_D*t_c))/f --> 0.00021*(10^(-2.66203703703704E-06*43200))/0.6

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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< 3 Critical Oxygen Deficit Calculators

Critical Oxygen Deficit in First Stage Equation

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

Critical Oxygen Deficit

Go Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient

Critical Oxygen Deficit given Self Purification Constant

Go Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant

Critical Oxygen Deficit given Self Purification Constant Formula

Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant
D_c = L_t*(10^(-K_D*t_c))/f

What is self purification constant?.

The ratio of reoxygenation coefficient to deoxygenation coefficient (or R'/K') is called the self purification constant fs and it is equal to 0.50 to 5.0.

How to Calculate Critical Oxygen Deficit given Self Purification Constant?

Critical Oxygen Deficit given Self Purification Constant calculator uses Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant to calculate the Critical oxygen deficit, Critical Oxygen Deficit given Self Purification Constant is condition where deoxygenation rate exceeds reoxygenation rate. Critical oxygen deficit is denoted by D_c symbol.

How to calculate Critical Oxygen Deficit given Self Purification Constant using this online calculator? To use this online calculator for Critical Oxygen Deficit given Self Purification Constant, enter Oxygen Equivalent (L_t), Deoxygenation Constant (K_D), Critical time (t_c) & Self purification constant (f) and hit the calculate button. Here is how the Critical Oxygen Deficit given Self Purification Constant calculation can be explained with given input values -> 0.000269 = 0.00021*(10^(-2.66203703703704E-06*43200))/0.6.

FAQ

What is Critical Oxygen Deficit given Self Purification Constant?

Critical Oxygen Deficit given Self Purification Constant is condition where deoxygenation rate exceeds reoxygenation rate and is represented as D_c = L_t*(10^(-K_D*t_c))/f or Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant. Oxygen Equivalent is the oxidisable organic matter present in sewage, 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 & Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.

How to calculate Critical Oxygen Deficit given Self Purification Constant?

Critical Oxygen Deficit given Self Purification Constant is condition where deoxygenation rate exceeds reoxygenation rate is calculated using Critical oxygen deficit = Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Self purification constant. To calculate Critical Oxygen Deficit given Self Purification Constant, you need Oxygen Equivalent (L_t), Deoxygenation Constant (K_D), Critical time (t_c) & Self purification constant (f). With our tool, you need to enter the respective value for Oxygen Equivalent, Deoxygenation Constant, Critical time & Self purification constant 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, Deoxygenation Constant, Critical time & Self purification constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

Critical oxygen deficit = Deoxygenation Constant*Oxygen Equivalent*(10^(-Deoxygenation Constant*Critical time))/Reoxygenation coefficient
Critical oxygen deficit = ((Oxygen Equivalent/Self purification constant)^Self purification constant)/(1-(Self purification constant-1)*Initial oxygen deficit)

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