FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Critical Time given Self Purification Factor Formula

GoCritical Time Formula

GoCritical Time when we have Critical Oxygen Deficit Formula

Fx Copy

LaTeX Copy

Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time. Check FAQs

t c = - (\log 10 \frac{1 - (f - 1) \cdot (\frac{D c}{L t}) \cdot f}{K D \cdot (f - 1)})

t_c - Critical Time?f - Self-Purification Constant?D_c - Critical Oxygen Deficit?L_t - Oxygen Equivalent?K_D - Deoxygenation Constant?

Critical Time given Self Purification Factor Example

With values

With units

Only example

Here is how the Critical Time given Self Purification Factor equation looks like with Values.

Here is how the Critical Time given Self Purification Factor equation looks like with Units.

Here is how the Critical Time given Self Purification Factor equation looks like.

2.2839 = - (\log 10 \frac{1 - (0.9 - 1) \cdot (\frac{0.0003}{0.21}) \cdot 0.9}{0.23 \cdot (0.9 - 1)})

2.2839d = - (\log 10 \frac{1 - (0.9 - 1) \cdot (\frac{0.0003}{0.21mg/L}) \cdot 0.9}{0.23d⁻¹ \cdot (0.9 - 1)})

2.2839 = - (\log 10 \frac{1 - (0.9 - 1) \cdot (\frac{0.0003}{0.21}) \cdot 0.9}{0.23 \cdot (0.9 - 1)})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Critical Time given Self Purification Factor

Critical Time given Self Purification Factor Solution

Follow our step by step solution on how to calculate Critical Time given Self Purification Factor?

FIRST Step Consider the formula

t c = - (\log 10 \frac{1 - (f - 1) \cdot (\frac{D c}{L t}) \cdot f}{K D \cdot (f - 1)})

Next Step Substitute values of Variables

∴

t c = - (\log 10 \frac{1 - (0.9 - 1) \cdot (\frac{0.0003}{0.21mg/L}) \cdot 0.9}{0.23d⁻¹ \cdot (0.9 - 1)})

Next Step Convert Units

∴

t c = - (\log 10 \frac{1 - (0.9 - 1) \cdot (\frac{0.0003}{0.0002kg/m³}) \cdot 0.9}{2.7E-6s⁻¹ \cdot (0.9 - 1)})

Next Step Prepare to Evaluate

∴

t c = - (\log 10 \frac{1 - (0.9 - 1) \cdot (\frac{0.0003}{0.0002}) \cdot 0.9}{2.7E-6 \cdot (0.9 - 1)})

Next Step Evaluate

∴

t c = 197326.523054885s

Next Step Convert to Output's Unit

∴

t c = 2.28387179461672d

LAST Step Rounding Answer

∴

t c = 2.2839d

Critical Time given Self Purification Factor Formula Elements

Variables

Functions

Critical Time

Critical Time refers to the minimum dissolved oxygen concentration occurs, found by differentiating the dissolved oxygen equation with respect to time.

Symbol: t_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Critical Time

Self-Purification Constant

Self-Purification Constant is referred as the ratio of reoxygenation constant to deoxygenation constant.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Self-Purification Constant

Critical Oxygen Deficit

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

Symbol: D_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Critical Oxygen Deficit

Oxygen Equivalent

The Oxygen Equivalent is referred as the oxidizable organic matter present in sewage.

Symbol: L_t

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Oxygen Equivalent

Deoxygenation Constant

Deoxygenation Constant is referred as the value obtained after decomposing of oxygen in sewage.

Symbol: K_D

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Deoxygenation Constant

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.

Syntax: log10(Number)

Other Formulas to find Critical Time

Go Critical Time

t c = (\frac{1}{K R - K D}) \cdot \log 10 ((\frac{K D \cdot L t - K R \cdot D o + K D \cdot D o}{K D} \cdot L t) \cdot (\frac{K R}{K D}))

Go Critical Time when we have Critical Oxygen Deficit

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

Go Critical Time given Self Purification Constant with Critical Oxygen Deficit

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

How to Evaluate Critical Time given Self Purification Factor?

Critical Time given Self Purification Factor evaluator uses Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1))) to evaluate 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 evaluate Critical Time given Self Purification Factor using this online evaluator? To use this online evaluator 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.

FAQs on Critical Time given Self Purification Factor

What is the formula to find Critical Time given Self Purification Factor?

The formula of Critical Time given Self Purification Factor is expressed as Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1))). Here is an example- 1.6E-5 = -(log10(1-(0.9-1)*(0.0003/0.00021)*0.9)/(2.66203703703704E-06*(0.9-1))).

How to calculate Critical Time given Self Purification Factor?

With Self-Purification Constant (f), Critical Oxygen Deficit (D_c), Oxygen Equivalent (L_t) & Deoxygenation Constant (K_D) we can find Critical Time given Self Purification Factor using the formula - Critical Time = -(log10(1-(Self-Purification Constant-1)*(Critical Oxygen Deficit/Oxygen Equivalent)*Self-Purification Constant)/(Deoxygenation Constant*(Self-Purification Constant-1))). This formula also uses Common Logarithm Function function(s).

What are the other ways to Calculate Critical Time?

Here are the different ways to Calculate Critical Time-

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

Can the Critical Time given Self Purification Factor be negative?

No, the Critical Time given Self Purification Factor, measured in Time cannot be negative.

Which unit is used to measure Critical Time given Self Purification Factor?

Critical Time given Self Purification Factor is usually measured using the Day[d] for Time. Second[d], Millisecond[d], Microsecond[d] are the few other units in which Critical Time given Self Purification Factor can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Critical Time given Self Purification Factor Formula

​GoCritical Time Formula

​GoCritical Time when we have Critical Oxygen Deficit Formula

Critical Time given Self Purification Factor Example

Critical Time given Self Purification Factor Solution

Critical Time given Self Purification Factor Formula Elements

Other Formulas to find Critical Time

How to Evaluate Critical Time given Self Purification Factor?

FAQs on Critical Time given Self Purification Factor

Variable Name

GoCritical Time Formula

GoCritical Time when we have Critical Oxygen Deficit Formula