Depth of Reference Filter using Treatability Constant Calculator

✖Depth of Actual Filter is the vertical dimension of the actual filter.ⓘ Depth of Actual Filter [D₂]			+10% -10%
✖Treatability Constant at 30 and 25 ft filter depth.ⓘ Treatability Constant at 30 [K_30/25]			+10% -10%
✖Treatability Constant at 30°C and 20 ft filter depth.ⓘ Treatability Constant [K_30/20]			+10% -10%
✖Empirical Constant influencing empirical relationships supported by confirmatory data irrespective of theoretical basis such as first principles.ⓘ Empirical Constant [a]			+10% -10%

✖Depth of Reference Filter is the vertical dimension of reference filter.ⓘ Depth of Reference Filter using Treatability Constant [D₁]

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Formula

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Depth of Reference Filter using Treatability Constant

Formula

`"D"_{"1"} = "D"_{"2"}*("K"_{"30/25"}/"K"_{"30/20"})^(1/"a")`

Example

`"10.45047m"="5m"*("3"/"2")^(1/"0.55")`

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Depth of Reference Filter using Treatability Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Depth of Reference Filter - (Measured in Meter) - Depth of Reference Filter is the vertical dimension of reference filter.
Depth of Actual Filter - (Measured in Meter) - Depth of Actual Filter is the vertical dimension of the actual filter.
Treatability Constant at 30 - Treatability Constant at 30 and 25 ft filter depth.
Treatability Constant - Treatability Constant at 30°C and 20 ft filter depth.
Empirical Constant - Empirical Constant influencing empirical relationships supported by confirmatory data irrespective of theoretical basis such as first principles.

STEP 1: Convert Input(s) to Base Unit

Depth of Actual Filter: 5 Meter --> 5 Meter No Conversion Required
Treatability Constant at 30: 3 --> No Conversion Required
Treatability Constant: 2 --> No Conversion Required
Empirical Constant: 0.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D₁ = D₂*(K_30/25/K_30/20)^(1/a) --> 5*(3/2)^(1/0.55)

Evaluating ... ...

D₁ = 10.4504725752836

STEP 3: Convert Result to Output's Unit

10.4504725752836 Meter --> No Conversion Required

FINAL ANSWER

10.4504725752836 ≈ 10.45047 Meter <-- Depth of Reference Filter

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Treatability Constant Calculators

Empirical Constant given Treatability Constant

Go Empirical Constant = (ln(Treatability Constant at 30/Treatability Constant)/ln(Depth of Reference Filter/Depth of Actual Filter))

Wastewater Temperature using Treatability Constant

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

Depth of Reference Filter using Treatability Constant

Go Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30/Treatability Constant)^(1/Empirical Constant)

Treatability Constant at 30 degree Celsius and 25 ft Filter Depth

Go Treatability Constant at 30 = Treatability Constant*(Depth of Reference Filter/Depth of Actual Filter)^(Empirical Constant)

Treatability Constant at 30 degree Celsius and 20 ft Filter Depth

Go Treatability Constant = Treatability Constant at 30*(Depth of Actual Filter/Depth of Reference Filter)^(Empirical Constant)

Temperature Activity Coefficient given Treatability Constant

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

Treatability Constant at 30 degree Celsius and 20 ft Filter Depth

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

Treatability Constant at 20 degree Celsius and 20 ft Filter Depth

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

Depth of Reference Filter using Treatability Constant Formula

Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30/Treatability Constant)^(1/Empirical Constant)
D₁ = D₂*(K_30/25/K_30/20)^(1/a)

What is Filter ?

A filter is a device used to remove unwanted parts from something. For example, removing solid particles from a liquid. Filter can also mean the act of filtering.

How to Calculate Depth of Reference Filter using Treatability Constant?

Depth of Reference Filter using Treatability Constant calculator uses Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30/Treatability Constant)^(1/Empirical Constant) to calculate the Depth of Reference Filter, The Depth of Reference Filter using Treatability Constant is defined as the depth of reference filter when other parameters are already known. Depth of Reference Filter is denoted by D₁ symbol.

How to calculate Depth of Reference Filter using Treatability Constant using this online calculator? To use this online calculator for Depth of Reference Filter using Treatability Constant, enter Depth of Actual Filter (D₂), Treatability Constant at 30 (K_30/25), Treatability Constant (K_30/20) & Empirical Constant (a) and hit the calculate button. Here is how the Depth of Reference Filter using Treatability Constant calculation can be explained with given input values -> 10.45047 = 5*(3/2)^(1/0.55).

FAQ

What is Depth of Reference Filter using Treatability Constant?

The Depth of Reference Filter using Treatability Constant is defined as the depth of reference filter when other parameters are already known and is represented as D₁ = D₂*(K_30/25/K_30/20)^(1/a) or Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30/Treatability Constant)^(1/Empirical Constant). Depth of Actual Filter is the vertical dimension of the actual filter, Treatability Constant at 30 and 25 ft filter depth, Treatability Constant at 30°C and 20 ft filter depth & Empirical Constant influencing empirical relationships supported by confirmatory data irrespective of theoretical basis such as first principles.

How to calculate Depth of Reference Filter using Treatability Constant?

The Depth of Reference Filter using Treatability Constant is defined as the depth of reference filter when other parameters are already known is calculated using Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30/Treatability Constant)^(1/Empirical Constant). To calculate Depth of Reference Filter using Treatability Constant, you need Depth of Actual Filter (D₂), Treatability Constant at 30 (K_30/25), Treatability Constant (K_30/20) & Empirical Constant (a). With our tool, you need to enter the respective value for Depth of Actual Filter, Treatability Constant at 30, Treatability Constant & 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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