Self Purification Constant given Critical Oxygen Deficit 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%
✖Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical oxygen deficit [D_c]			+10% -10%

✖Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self Purification Constant given Critical Oxygen Deficit [f]

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Formula

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Self Purification Constant given Critical Oxygen Deficit

Formula

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

Example

`"2.7E^-5"="0.21mg/L"*10^(-"0.23d⁻¹"*"0.5d")/"6"`

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Self Purification Constant given Critical Oxygen Deficit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Self purification constant - Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.
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.
Critical oxygen deficit - Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.

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)
Critical oxygen deficit: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = L_t*10^(-K_D*t_c)/D_c --> 0.00021*10^(-2.66203703703704E-06*43200)/6

Evaluating ... ...

f = 2.68576521276637E-05

STEP 3: Convert Result to Output's Unit

2.68576521276637E-05 --> No Conversion Required

FINAL ANSWER

2.68576521276637E-05 ≈ 2.7E-5 <-- Self purification constant

(Calculation completed in 00.019 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Self Purification Constant Calculators

Self Purification Constant given Log value of Critical Oxygen Deficit

Go Self purification constant = Oxygen Equivalent/10^(log10(Critical oxygen deficit)+(Deoxygenation Constant*Critical time))

Self Purification Constant given Critical Oxygen Deficit

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

Self Purification Constant

Go Self purification constant = Reoxygenation coefficient/Deoxygenation Constant

Self Purification Constant given Critical Oxygen Deficit Formula

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

What is critical oxygen deficit?

The Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.

How to Calculate Self Purification Constant given Critical Oxygen Deficit?

Self Purification Constant given Critical Oxygen Deficit calculator uses Self purification constant = Oxygen Equivalent*10^(-Deoxygenation Constant*Critical time)/Critical oxygen deficit to calculate the Self purification constant, Self Purification Constant given Critical Oxygen Deficit is ratio of reoxygenation constant to deoxygenation constant (or R'/K') and it is equal to 0.50 to 5.0. Self purification constant is denoted by f symbol.

How to calculate Self Purification Constant given Critical Oxygen Deficit using this online calculator? To use this online calculator for Self Purification Constant given Critical Oxygen Deficit, enter Oxygen Equivalent (L_t), Deoxygenation Constant (K_D), Critical time (t_c) & Critical oxygen deficit (D_c) and hit the calculate button. Here is how the Self Purification Constant given Critical Oxygen Deficit calculation can be explained with given input values -> 2.7E-5 = 0.00021*10^(-2.66203703703704E-06*43200)/6.

FAQ

What is Self Purification Constant given Critical Oxygen Deficit?

Self Purification Constant given Critical Oxygen Deficit is ratio of reoxygenation constant to deoxygenation constant (or R'/K') and it is equal to 0.50 to 5.0 and is represented as f = L_t*10^(-K_D*t_c)/D_c or Self purification constant = Oxygen Equivalent*10^(-Deoxygenation Constant*Critical time)/Critical oxygen deficit. 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 & Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.

How to calculate Self Purification Constant given Critical Oxygen Deficit?

Self Purification Constant given Critical Oxygen Deficit is ratio of reoxygenation constant to deoxygenation constant (or R'/K') and it is equal to 0.50 to 5.0 is calculated using Self purification constant = Oxygen Equivalent*10^(-Deoxygenation Constant*Critical time)/Critical oxygen deficit. To calculate Self Purification Constant given Critical Oxygen Deficit, you need Oxygen Equivalent (L_t), Deoxygenation Constant (K_D), Critical time (t_c) & Critical oxygen deficit (D_c). With our tool, you need to enter the respective value for Oxygen Equivalent, Deoxygenation Constant, Critical time & Critical oxygen deficit 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 Self purification constant?

In this formula, Self purification constant uses Oxygen Equivalent, Deoxygenation Constant, Critical time & Critical oxygen deficit. We can use 2 other way(s) to calculate the same, which is/are as follows -

Self purification constant = Reoxygenation coefficient/Deoxygenation Constant
Self purification constant = Oxygen Equivalent/10^(log10(Critical oxygen deficit)+(Deoxygenation Constant*Critical time))

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