Constant of Integration given Oxygen Equivalent Calculator

✖Oxygen Equivalent is the oxidisable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+10% -10%
✖Rate Constant in BOD is the rate of oxidation of organic matter.ⓘ Rate Constant in BOD [K]			+10% -10%
✖Time in days is the time calculated in days.ⓘ Time in days [t]			+10% -10%

✖The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.ⓘ Constant of Integration given Oxygen Equivalent [c]

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Formula

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Constant of Integration given Oxygen Equivalent

Formula

`"c" = log("L"_{"t"},e)+("K"*"t")`

Example

`"6.881914"=log("0.21mg/L",e)+("0.7d⁻¹"*"10d")`

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Constant of Integration given Oxygen Equivalent Solution

STEP 0: Pre-Calculation Summary

Formula Used

Integration Constant = log(Oxygen Equivalent,e)+(Rate Constant in BOD*Time in days)
c = log(L_t,e)+(K*t)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Integration Constant - The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.
Rate Constant in BOD - (Measured in 1 Per Second) - Rate Constant in BOD is the rate of oxidation of organic matter.
Time in days - (Measured in Second) - Time in days is the time calculated in days.

STEP 1: Convert Input(s) to Base Unit

Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)
Rate Constant in BOD: 0.7 1 Per Day --> 8.10185185185185E-06 1 Per Second (Check conversion here)
Time in days: 10 Day --> 864000 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = log(L_t,e)+(K*t) --> log(0.00021,e)+(8.10185185185185E-06*864000)

Evaluating ... ...

c = 6.88191398109153

STEP 3: Convert Result to Output's Unit

6.88191398109153 --> No Conversion Required

FINAL ANSWER

6.88191398109153 ≈ 6.881914 <-- Integration Constant

(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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< 2 Oxygen Equivalent Calculators

Constant of Integration given Oxygen Equivalent

Go Integration Constant = log(Oxygen Equivalent,e)+(Rate Constant in BOD*Time in days)

Oxygen Equivalent given Organic Matter Present at Start of BOD

Go Oxygen Equivalent = Organic Matter at Start*10^(-Deoxygenation Constant*Time in days)

Constant of Integration given Oxygen Equivalent Formula

Integration Constant = log(Oxygen Equivalent,e)+(Rate Constant in BOD*Time in days)
c = log(L_t,e)+(K*t)

What is Oygen Equivalent?

The Oxygen equivalent is the oxidisable organic matter present in sewage after t days from start of oxidation.

How to Calculate Constant of Integration given Oxygen Equivalent?

Constant of Integration given Oxygen Equivalent calculator uses Integration Constant = log(Oxygen Equivalent,e)+(Rate Constant in BOD*Time in days) to calculate the Integration Constant, The Constant of Integration given Oxygen Equivalent is defined as the value of the constant obtained after the integration of the de-oxygenation rate equation. Integration Constant is denoted by c symbol.

How to calculate Constant of Integration given Oxygen Equivalent using this online calculator? To use this online calculator for Constant of Integration given Oxygen Equivalent, enter Oxygen Equivalent (L_t), Rate Constant in BOD (K) & Time in days (t) and hit the calculate button. Here is how the Constant of Integration given Oxygen Equivalent calculation can be explained with given input values -> 6.881914 = log(0.00021,e)+(8.10185185185185E-06*864000).

FAQ

What is Constant of Integration given Oxygen Equivalent?

The Constant of Integration given Oxygen Equivalent is defined as the value of the constant obtained after the integration of the de-oxygenation rate equation and is represented as c = log(L_t,e)+(K*t) or Integration Constant = log(Oxygen Equivalent,e)+(Rate Constant in BOD*Time in days). Oxygen Equivalent is the oxidisable organic matter present in sewage, Rate Constant in BOD is the rate of oxidation of organic matter & Time in days is the time calculated in days.

How to calculate Constant of Integration given Oxygen Equivalent?

The Constant of Integration given Oxygen Equivalent is defined as the value of the constant obtained after the integration of the de-oxygenation rate equation is calculated using Integration Constant = log(Oxygen Equivalent,e)+(Rate Constant in BOD*Time in days). To calculate Constant of Integration given Oxygen Equivalent, you need Oxygen Equivalent (L_t), Rate Constant in BOD (K) & Time in days (t). With our tool, you need to enter the respective value for Oxygen Equivalent, Rate Constant in BOD & Time in days and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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