Oxygen Deficit given Critical Time in Self Purification Factor Calculator

✖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%
✖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%
✖Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.ⓘ Deoxygenation Constant [K_D]			+10% -10%

✖Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Oxygen Deficit given Critical Time in Self Purification Factor [D_c]

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Oxygen Deficit given Critical Time in Self Purification Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.

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
Critical Time: 0.5 Day --> 43200 Second (Check conversion here)
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = (L_t/(f-1))*(1-((10^(t_c*K_D*(f-1)))/f)) --> (0.00021/(0.9-1))*(1-((10^(43200*2.66203703703704E-06*(0.9-1)))/0.9))

Evaluating ... ...

D_c = 0.000172358165766811

STEP 3: Convert Result to Output's Unit

0.000172358165766811 --> No Conversion Required

FINAL ANSWER

0.000172358165766811 ≈ 0.000172 <-- 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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< Oxygen Deficit Calculators

DO Deficit using Streeter-Phelps Equation

LaTeX 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

LaTeX 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

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

Oxygen Deficit

LaTeX Go Oxygen Deficit = Saturated Dissolved Oxygen-Actual Dissolved Oxygen

Oxygen Deficit given Critical Time in Self Purification Factor Formula

LaTeX Go

What is Self Purification Constant?

Self Purification Constant is the ratio of reoxygenation constant to deoxygenation constant or (R'/K') and it is equal to 0.50 to 5.0.

How to Calculate Oxygen Deficit given Critical Time in Self Purification Factor?

Oxygen Deficit given Critical Time in Self Purification Factor calculator uses Critical Oxygen Deficit = (Oxygen Equivalent/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant)) to calculate the Critical Oxygen Deficit, The Oxygen Deficit given Critical Time in Self Purification Factor formula is defined as the difference between the saturation concentration of dissolved oxygen (DO) and the actual concentration of DO present in the water. Critical Oxygen Deficit is denoted by D_c symbol.

How to calculate Oxygen Deficit given Critical Time in Self Purification Factor using this online calculator? To use this online calculator for Oxygen Deficit given Critical Time in Self Purification Factor, enter Oxygen Equivalent (L_t), Self-Purification Constant (f), Critical Time (t_c) & Deoxygenation Constant (K_D) and hit the calculate button. Here is how the Oxygen Deficit given Critical Time in Self Purification Factor calculation can be explained with given input values -> 0.000262 = (0.00021/(0.9-1))*(1-((10^(43200*2.66203703703704E-06*(0.9-1)))/0.9)).

FAQ

What is Oxygen Deficit given Critical Time in Self Purification Factor?

The Oxygen Deficit given Critical Time in Self Purification Factor formula is defined as the difference between the saturation concentration of dissolved oxygen (DO) and the actual concentration of DO present in the water and is represented as D_c = (L_t/(f-1))*(1-((10^(t_c*K_D*(f-1)))/f)) or Critical Oxygen Deficit = (Oxygen Equivalent/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant)). 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, Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time & Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.

How to calculate Oxygen Deficit given Critical Time in Self Purification Factor?

The Oxygen Deficit given Critical Time in Self Purification Factor formula is defined as the difference between the saturation concentration of dissolved oxygen (DO) and the actual concentration of DO present in the water is calculated using Critical Oxygen Deficit = (Oxygen Equivalent/(Self-Purification Constant-1))*(1-((10^(Critical Time*Deoxygenation Constant*(Self-Purification Constant-1)))/Self-Purification Constant)). To calculate Oxygen Deficit given Critical Time in Self Purification Factor, you need Oxygen Equivalent (L_t), Self-Purification Constant (f), Critical Time (t_c) & Deoxygenation Constant (K_D). With our tool, you need to enter the respective value for Oxygen Equivalent, Self-Purification Constant, Critical Time & Deoxygenation 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, Self-Purification Constant, Critical Time & Deoxygenation Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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