BOD of Effluent Getting Out of Filter Calculator

✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Reaction Rate Constant quantifies the rate and direction of a chemical reaction.ⓘ Reaction Rate Constant [K_d]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖Hydraulic loading is the volume of water applied to a treatment system, such as a wastewater treatment plant or a soil absorption system, per unit area per unit time.ⓘ Hydraulic Loading [H]			+10% -10%
✖The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.ⓘ Empirical Constant [A₀]			+10% -10%

✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ BOD of Effluent Getting Out of Filter [Q_o]

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Formula

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BOD of Effluent Getting Out of Filter

Formula

Q o = Q i \cdot \exp (- 1 \cdot K d \cdot D \cdot {(H)}^{- 1 \cdot A 0})

Example

0.399526 mg/L = 12.6 mg/L \cdot \exp (- 1 \cdot 0.05 d⁻¹ \cdot 3.0 m \cdot {(0.865 m/s)}^{- 1 \cdot 100})

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BOD of Effluent Getting Out of Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))
Q_o = Q_i*exp(-1*K_d*D*(H)^(-1*A₀))
This formula uses 1 Functions, 6 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Reaction Rate Constant - (Measured in 1 Per Second) - Reaction Rate Constant quantifies the rate and direction of a chemical reaction.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Hydraulic Loading - (Measured in Meter per Second) - Hydraulic loading is the volume of water applied to a treatment system, such as a wastewater treatment plant or a soil absorption system, per unit area per unit time.
Empirical Constant - The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.

STEP 1: Convert Input(s) to Base Unit

Influent BOD: 12.6 Milligram per Liter --> 0.0126 Kilogram per Cubic Meter (Check conversion here)
Reaction Rate Constant: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Depth: 3 Meter --> 3 Meter No Conversion Required
Hydraulic Loading: 0.865 Meter per Second --> 0.865 Meter per Second No Conversion Required
Empirical Constant: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_o = Q_i*exp(-1*K_d*D*(H)^(-1*A₀)) --> 0.0126*exp(-1*5.78703703703704E-07*3*(0.865)^(-1*100))

Evaluating ... ...

Q_o = 0.000399525972303241

STEP 3: Convert Result to Output's Unit

0.000399525972303241 Kilogram per Cubic Meter -->0.399525972303241 Milligram per Liter (Check conversion here)

FINAL ANSWER

0.399525972303241 ≈ 0.399526 Milligram per Liter <-- Effluent BOD

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Eckenfelder Trickling Filter Equation » BOD of Effluent Getting Out of Filter

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Eckenfelder Trickling Filter Equation Calculators

Hydraulic Loading Rate given BOD of Influent Entering Filter

Go Hydraulic Loading = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Reaction Rate Constant))^(-1/Empirical Constant)

BOD of Effluent Getting Out of Filter

Go Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))

BOD of Influent Entering Filter

Go Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))

Hydraulic Loading Rate given Discharge

Go Hydraulic Loading Rate given Discharge = Discharge/Area

BOD of Effluent Getting Out of Filter Formula

Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))
Q_o = Q_i*exp(-1*K_d*D*(H)^(-1*A₀))

What is Influent and Effluent?

Influent is water that "flows in". This is the raw, untreated wastewater. Effluent means to "flow out". This is the treated wastewater. The picture at right compares influent and effluent.

How to Calculate BOD of Effluent Getting Out of Filter?

BOD of Effluent Getting Out of Filter calculator uses Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)) to calculate the Effluent BOD, The BOD of Effluent Getting Out of Filter formula is defined as the calculation of biological oxygen demand when we have prior information of other parameters used. Effluent BOD is denoted by Q_o symbol.

How to calculate BOD of Effluent Getting Out of Filter using this online calculator? To use this online calculator for BOD of Effluent Getting Out of Filter, enter Influent BOD (Q_i), Reaction Rate Constant (K_d), Depth (D), Hydraulic Loading (H) & Empirical Constant (A₀) and hit the calculate button. Here is how the BOD of Effluent Getting Out of Filter calculation can be explained with given input values -> 355.1342 = 0.0126*exp(-1*5.78703703703704E-07*3*(0.865)^(-1*100)).

FAQ

What is BOD of Effluent Getting Out of Filter?

The BOD of Effluent Getting Out of Filter formula is defined as the calculation of biological oxygen demand when we have prior information of other parameters used and is represented as Q_o = Q_i*exp(-1*K_d*D*(H)^(-1*A₀)) or Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)). Influent BOD is the total amount of BOD which is present in the incoming sewage, Reaction Rate Constant quantifies the rate and direction of a chemical reaction, Depth is the distance from the top or surface to the bottom of something, Hydraulic loading is the volume of water applied to a treatment system, such as a wastewater treatment plant or a soil absorption system, per unit area per unit time & The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.

How to calculate BOD of Effluent Getting Out of Filter?

The BOD of Effluent Getting Out of Filter formula is defined as the calculation of biological oxygen demand when we have prior information of other parameters used is calculated using Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)). To calculate BOD of Effluent Getting Out of Filter, you need Influent BOD (Q_i), Reaction Rate Constant (K_d), Depth (D), Hydraulic Loading (H) & Empirical Constant (A₀). With our tool, you need to enter the respective value for Influent BOD, Reaction Rate Constant, Depth, Hydraulic Loading & Empirical Constant 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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