Critical Time given Self Purification Factor Calculator

✖Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self-Purification Constant [f]			+10% -10%
✖Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical Oxygen Deficit [D_c]			+10% -10%
✖The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+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 given Self Purification Factor [t_c]

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Critical Time given Self Purification Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1)))
t_c = -(log10(1-(f-1)*(D_c/L_t)*f)/(K_D*(f-1)))
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 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.
Self-Purification Constant - Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.
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.
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

Self-Purification Constant: 0.9 --> No Conversion Required
Critical Oxygen Deficit: 0.0003 --> No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = -(log10(1-(f-1)*(D_c/L_t)*f)/(K_D*(f-1))) --> -(log10(1-(0.9-1)*(0.0003/0.00021)*0.9)/(2.66203703703704E-06*(0.9-1)))

Evaluating ... ...

t_c = 197326.523054885

STEP 3: Convert Result to Output's Unit

197326.523054885 Second -->2.28387179461672 Day (Check conversion here)

FINAL ANSWER

2.28387179461672 ≈ 2.283872 Day <-- Critical Time

(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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< Critical Time Calculators

Critical Time

LaTeX Go Critical Time = (1/(Reoxygenation Coefficient-Deoxygenation Constant))*log10(((Deoxygenation Constant*Oxygen Equivalent-Reoxygenation Coefficient*Initial Oxygen Deficit+Deoxygenation Constant*Initial Oxygen Deficit)/Deoxygenation Constant*Oxygen Equivalent)*(Reoxygenation Coefficient/Deoxygenation Constant))

Critical Time given Self Purification Factor

LaTeX Go Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1)))

Critical Time when we have Critical Oxygen Deficit

LaTeX Go Critical Time = log10((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant

Critical Time given Self Purification Constant with Critical Oxygen Deficit

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

Critical Time given Self Purification Factor Formula

LaTeX Go

What is Self Purification Factor?

Self Purification Factor referred as the ratio of reoxygenation constant to deoxygenation constant or (R'/K') is called the self purification constant f and it is equal to 0.50 to 5.0.

How to Calculate Critical Time given Self Purification Factor?

Critical Time given Self Purification Factor calculator uses Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1))) to calculate the Critical Time, The Critical Time given Self Purification Factor formula is defined as the crucial time period in which certain tasks must be completed to avoid project delays. Critical Time is denoted by t_c symbol.

How to calculate Critical Time given Self Purification Factor using this online calculator? To use this online calculator for Critical Time given Self Purification Factor, enter Self-Purification Constant (f), Critical Oxygen Deficit (D_c), Oxygen Equivalent (L_t) & Deoxygenation Constant (K_D) and hit the calculate button. Here is how the Critical Time given Self Purification Factor calculation can be explained with given input values -> 1.6E-5 = -(log10(1-(0.9-1)*(0.0003/0.00021)*0.9)/(2.66203703703704E-06*(0.9-1))).

FAQ

What is Critical Time given Self Purification Factor?

The Critical Time given Self Purification Factor formula is defined as the crucial time period in which certain tasks must be completed to avoid project delays and is represented as t_c = -(log10(1-(f-1)*(D_c/L_t)*f)/(K_D*(f-1))) or Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1))). Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant, Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate, The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage & Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.

How to calculate Critical Time given Self Purification Factor?

The Critical Time given Self Purification Factor formula is defined as the crucial time period in which certain tasks must be completed to avoid project delays is calculated using Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1))). To calculate Critical Time given Self Purification Factor, you need Self-Purification Constant (f), Critical Oxygen Deficit (D_c), Oxygen Equivalent (L_t) & Deoxygenation Constant (K_D). With our tool, you need to enter the respective value for Self-Purification Constant, Critical Oxygen Deficit, Oxygen Equivalent & 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 Time?

In this formula, Critical Time uses Self-Purification Constant, Critical Oxygen Deficit, Oxygen Equivalent & Deoxygenation Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Time = (1/(Reoxygenation Coefficient-Deoxygenation Constant))*log10(((Deoxygenation Constant*Oxygen Equivalent-Reoxygenation Coefficient*Initial Oxygen Deficit+Deoxygenation Constant*Initial Oxygen Deficit)/Deoxygenation Constant*Oxygen Equivalent)*(Reoxygenation Coefficient/Deoxygenation Constant))
Critical Time = log10((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant
Critical Time = log10(Critical Oxygen Deficit*Self-Purification Constant/Oxygen Equivalent)/Deoxygenation Constant

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