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
tc = log10((Dc*KR)/(KD*Lt))/KD
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 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.
Reoxygenation coefficient - (Measured in 1 Per Second) - Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.
STEP 1: Convert Input(s) to Base Unit
Critical oxygen deficit: 6 --> No Conversion Required
Reoxygenation coefficient: 0.1 1 Per Day --> 1.15740740740741E-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
tc = log10((Dc*KR)/(KD*Lt))/KD --> log10((6*1.15740740740741E-06)/(2.66203703703704E-06*0.00021))/2.66203703703704E-06
Evaluating ... ...
tc = 1537996.67798355
STEP 3: Convert Result to Output's Unit
1537996.67798355 Second -->17.8008874766614 Day (Check conversion here)
FINAL ANSWER
17.8008874766614 17.80089 Day <-- Critical time
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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4 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
tc = log10((Dc*KR)/(KD*Lt))/KD

What is critical oxygen deficit?

The 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, Critical Time when we have Critical Oxygen Deficit is the total time required to complete the reaction. It is expressed in days. Critical time is denoted by tc 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 (Dc), Reoxygenation coefficient (KR), Deoxygenation Constant (KD) & Oxygen Equivalent (Lt) 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 -> 0.000206 = log10((6*1.15740740740741E-06)/(2.66203703703704E-06*0.00021))/2.66203703703704E-06.

FAQ

What is Critical Time when we have Critical Oxygen Deficit?
Critical Time when we have Critical Oxygen Deficit is the total time required to complete the reaction. It is expressed in days and is represented as tc = log10((Dc*KR)/(KD*Lt))/KD or Critical time = log10((Critical oxygen deficit*Reoxygenation coefficient)/(Deoxygenation Constant*Oxygen Equivalent))/Deoxygenation Constant. Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate, Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient, Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage & Oxygen Equivalent is the oxidisable organic matter present in sewage.
How to calculate Critical Time when we have Critical Oxygen Deficit?
Critical Time when we have Critical Oxygen Deficit is the total time required to complete the reaction. It is expressed in days 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 (Dc), Reoxygenation coefficient (KR), Deoxygenation Constant (KD) & Oxygen Equivalent (Lt). 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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