Critical Time when we have Critical Oxygen Deficit Calculator

✖Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical Oxygen Deficit [D_c]			+10% -10%
✖Reoxygenation Coefficient is referred as the parameter used in water quality modeling to describe the rate at which oxygen is transferred from the atmosphere to the water body.ⓘ Reoxygenation Coefficient [K_R]			+10% -10%
✖Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.ⓘ Deoxygenation Constant [K_D]			+10% -10%
✖The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+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 when we have Critical Oxygen Deficit [t_c]

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Formula

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Critical Time when we have Critical Oxygen Deficit

Formula

t c = \log 10 \frac{\frac{D c \cdot K R}{K D \cdot L t}}{K D}

Example

0.589551 d = \log 10 \frac{\frac{0.0003 \cdot 0.22 d⁻¹}{0.23 d⁻¹ \cdot 0.21 mg/L}}{0.23 d⁻¹}

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Critical Time when we have Critical Oxygen Deficit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Time = log10((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant
t_c = log10((D_c*K_R)/(K_D*L_t))/K_D
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.
Critical Oxygen Deficit - Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate.
Reoxygenation Coefficient - (Measured in 1 Per Second) - Reoxygenation Coefficient is referred as the parameter used in water quality modeling to describe the rate at which oxygen is transferred from the atmosphere to the water body.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.

STEP 1: Convert Input(s) to Base Unit

Critical Oxygen Deficit: 0.0003 --> No Conversion Required
Reoxygenation Coefficient: 0.22 1 Per Day --> 2.5462962962963E-06 1 Per Second (Check conversion here)
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = log10((D_c*K_R)/(K_D*L_t))/K_D --> log10((0.0003*2.5462962962963E-06)/(2.66203703703704E-06*0.00021))/2.66203703703704E-06

Evaluating ... ...

t_c = 50937.23449516

STEP 3: Convert Result to Output's Unit

50937.23449516 Second -->0.589551325175463 Day (Check conversion here)

FINAL ANSWER

0.589551325175463 ≈ 0.589551 Day <-- Critical Time

(Calculation completed in 00.007 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

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

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

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

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

Critical Time when we have Critical Oxygen Deficit Formula

Critical Time = log10((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant
t_c = log10((D_c*K_R)/(K_D*L_t))/K_D

What is Critical Oxygen Deficit?

Critical Oxygen Deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.

How to Calculate Critical Time when we have Critical Oxygen Deficit?

Critical Time when we have Critical Oxygen Deficit calculator uses Critical Time = log10((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant to calculate the Critical Time, The Critical Time when we have Critical Oxygen Deficit 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 when we have Critical Oxygen Deficit using this online calculator? To use this online calculator for Critical Time when we have Critical Oxygen Deficit, enter Critical Oxygen Deficit (D_c), Reoxygenation Coefficient (K_R), Deoxygenation Constant (K_D) & Oxygen Equivalent (L_t) and hit the calculate button. Here is how the Critical Time when we have Critical Oxygen Deficit calculation can be explained with given input values -> 4.7E-6 = log10((0.0003*2.5462962962963E-06)/(2.66203703703704E-06*0.00021))/2.66203703703704E-06.

FAQ

What is Critical Time when we have Critical Oxygen Deficit?

The Critical Time when we have Critical Oxygen Deficit 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((D_c*K_R)/(K_D*L_t))/K_D or Critical Time = log10((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant. Critical Oxygen Deficit is referred as the condition where the deoxygenation rate exceeds the reoxygenation rate, Reoxygenation Coefficient is referred as the parameter used in water quality modeling to describe the rate at which oxygen is transferred from the atmosphere to the water body, Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage & The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.

How to calculate Critical Time when we have Critical Oxygen Deficit?

The Critical Time when we have Critical Oxygen Deficit 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((Critical Oxygen Deficit*Reoxygenation Coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant. To calculate Critical Time when we have Critical Oxygen Deficit, you need Critical Oxygen Deficit (D_c), Reoxygenation Coefficient (K_R), Deoxygenation Constant (K_D) & Oxygen Equivalent (L_t). With our tool, you need to enter the respective value for Critical Oxygen Deficit, Reoxygenation Coefficient, Deoxygenation Constant & Oxygen Equivalent 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 Critical Oxygen Deficit, Reoxygenation Coefficient, Deoxygenation Constant & Oxygen Equivalent. 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*Self-Purification Constant/Oxygen Equivalent)/Deoxygenation Constant
Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1)))

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