Depth of Actual Filter using Treatability Constant Calculator

✖The Depth of Reference Filter refers to the standard vertical distance used to compare filtration systems, typically measured in meters (m), to assess relative performance.ⓘ Depth of Reference Filter [D₁]			+10% -10%
✖The Treatability Constant at 30°C and 20ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 20ft filter depth.ⓘ Treatability Constant at 30°C and 20ft Depth [K_30/20]			+10% -10%
✖The Treatability Constant at 30°C and 25ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 25ft filter depth.ⓘ Treatability Constant at 30°C and 25ft Depth [K_30/25]			+10% -10%
✖The Empirical Constant refers to a value derived from experimental data and observations, used in equations to predict or describe phenomena within specific conditions.ⓘ Empirical Constant [a]			+10% -10%

✖The Depth of Actual Filter refers to the vertical distance from the top surface to the bottom of the filter media, impacting filtration efficiency, typically measured in meters (m).ⓘ Depth of Actual Filter using Treatability Constant [D₂]

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Formula

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Depth of Actual Filter using Treatability Constant

Formula

D 2 = D 1 \cdot {(\frac{K 30/20}{K 30/25})}^{\frac{1}{a}}

Example

7.593569 m = 6.1 m \cdot {(\frac{28.62}{26.80})}^{\frac{1}{0.3}}

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Depth of Actual Filter using Treatability Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Actual Filter = Depth of Reference Filter*(Treatability Constant at 30°C and 20ft Depth/Treatability Constant at 30°C and 25ft Depth)^(1/Empirical Constant)
D₂ = D₁*(K_30/20/K_30/25)^(1/a)
This formula uses 5 Variables

Variables Used

Depth of Actual Filter - (Measured in Meter) - The Depth of Actual Filter refers to the vertical distance from the top surface to the bottom of the filter media, impacting filtration efficiency, typically measured in meters (m).
Depth of Reference Filter - (Measured in Meter) - The Depth of Reference Filter refers to the standard vertical distance used to compare filtration systems, typically measured in meters (m), to assess relative performance.
Treatability Constant at 30°C and 20ft Depth - The Treatability Constant at 30°C and 20ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 20ft filter depth.
Treatability Constant at 30°C and 25ft Depth - The Treatability Constant at 30°C and 25ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 25ft filter depth.
Empirical Constant - The Empirical Constant refers to a value derived from experimental data and observations, used in equations to predict or describe phenomena within specific conditions.

STEP 1: Convert Input(s) to Base Unit

Depth of Reference Filter: 6.1 Meter --> 6.1 Meter No Conversion Required
Treatability Constant at 30°C and 20ft Depth: 28.62 --> No Conversion Required
Treatability Constant at 30°C and 25ft Depth: 26.8 --> No Conversion Required
Empirical Constant: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D₂ = D₁*(K_30/20/K_30/25)^(1/a) --> 6.1*(28.62/26.8)^(1/0.3)

Evaluating ... ...

D₂ = 7.59356916466733

STEP 3: Convert Result to Output's Unit

7.59356916466733 Meter --> No Conversion Required

FINAL ANSWER

7.59356916466733 ≈ 7.593569 Meter <-- Depth of Actual Filter

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Treatability Constant Calculators

Wastewater Temperature using Treatability Constant

Go Wastewater Temperature = 20+(ln(Treatability Constant at 30°C and 20ft Depth/Treatability Constant at 20°C and 20ft Depth)*(1/ln(Temperature Activity Coefficient)))

Temperature Activity Coefficient given Treatability Constant

Go Temperature Activity Coefficient = (Treatability Constant at 30°C and 20ft Depth/Treatability Constant at 20°C and 20ft Depth)^(1/(Wastewater Temperature-20))

Treatability Constant at 30 degrees Celsius and 20 ft Filter Depth

Go Treatability Constant at 30°C and 20ft Depth = Treatability Constant at 20°C and 20ft Depth*(Temperature Activity Coefficient)^(Wastewater Temperature-20)

Treatability Constant at 20 Degrees Celsius and 20 ft Filter Depth

Go Treatability Constant at 20°C and 20ft Depth = Treatability Constant at 30°C and 20ft Depth/(Temperature Activity Coefficient)^(Wastewater Temperature-20)

Depth of Actual Filter using Treatability Constant Formula

What is Plastic Media Trickling Filter ?

A Trickling Filter is a type of wastewater treatment system. It consists of a fixed bed of rocks, coke, gravel, slag, polyurethane foam, sphagnum peat moss, ceramic, or plastic media over which sewage or other wastewater flows downward and causes a layer of microbial slime (biofilm) to grow, covering the bed of media.

How to Calculate Depth of Actual Filter using Treatability Constant?

Depth of Actual Filter using Treatability Constant calculator uses Depth of Actual Filter = Depth of Reference Filter*(Treatability Constant at 30°C and 20ft Depth/Treatability Constant at 30°C and 25ft Depth)^(1/Empirical Constant) to calculate the Depth of Actual Filter, The Depth of Actual Filter using Treatability Constant calculates the vertical distance from the top surface to the bottom of the filter media, impacting filtration efficiency, typically measured in meters (m), when we have prior information of treatability constant and reference filter depth. Depth of Actual Filter is denoted by D₂ symbol.

How to calculate Depth of Actual Filter using Treatability Constant using this online calculator? To use this online calculator for Depth of Actual Filter using Treatability Constant, enter Depth of Reference Filter (D₁), Treatability Constant at 30°C and 20ft Depth (K_30/20), Treatability Constant at 30°C and 25ft Depth (K_30/25) & Empirical Constant (a) and hit the calculate button. Here is how the Depth of Actual Filter using Treatability Constant calculation can be explained with given input values -> 6.874029 = 6.1*(28.62/26.8)^(1/0.3).

FAQ

What is Depth of Actual Filter using Treatability Constant?

The Depth of Actual Filter using Treatability Constant calculates the vertical distance from the top surface to the bottom of the filter media, impacting filtration efficiency, typically measured in meters (m), when we have prior information of treatability constant and reference filter depth and is represented as D₂ = D₁*(K_30/20/K_30/25)^(1/a) or Depth of Actual Filter = Depth of Reference Filter*(Treatability Constant at 30°C and 20ft Depth/Treatability Constant at 30°C and 25ft Depth)^(1/Empirical Constant). The Depth of Reference Filter refers to the standard vertical distance used to compare filtration systems, typically measured in meters (m), to assess relative performance, The Treatability Constant at 30°C and 20ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 20ft filter depth, The Treatability Constant at 30°C and 25ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 25ft filter depth & The Empirical Constant refers to a value derived from experimental data and observations, used in equations to predict or describe phenomena within specific conditions.

How to calculate Depth of Actual Filter using Treatability Constant?

The Depth of Actual Filter using Treatability Constant calculates the vertical distance from the top surface to the bottom of the filter media, impacting filtration efficiency, typically measured in meters (m), when we have prior information of treatability constant and reference filter depth is calculated using Depth of Actual Filter = Depth of Reference Filter*(Treatability Constant at 30°C and 20ft Depth/Treatability Constant at 30°C and 25ft Depth)^(1/Empirical Constant). To calculate Depth of Actual Filter using Treatability Constant, you need Depth of Reference Filter (D₁), Treatability Constant at 30°C and 20ft Depth (K_30/20), Treatability Constant at 30°C and 25ft Depth (K_30/25) & Empirical Constant (a). With our tool, you need to enter the respective value for Depth of Reference Filter, Treatability Constant at 30°C and 20ft Depth, Treatability Constant at 30°C and 25ft Depth & 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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