Empirical Constant given Treatability Constant Calculator

✖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%
✖Depth of Reference Filter is the vertical dimension of reference filter.ⓘ Depth of Reference Filter [D₁]			+10% -10%
✖Depth of Actual Filter is the vertical dimension of the actual filter.ⓘ Depth of Actual Filter [D₂]			+10% -10%

✖Empirical Constant influencing empirical relationships supported by confirmatory data irrespective of theoretical basis such as first principles.ⓘ Empirical Constant given Treatability Constant [a]

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Formula

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Empirical Constant given Treatability Constant

Formula

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

Example

`"2.039041"=(ln("3"/"2")/ln("6.1m"/"5m"))`

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Empirical Constant given Treatability Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Empirical Constant - Empirical Constant influencing empirical relationships supported by confirmatory data irrespective of theoretical basis such as first principles.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Treatability Constant at 30: 3 --> No Conversion Required
Treatability Constant: 2 --> No Conversion Required
Depth of Reference Filter: 6.1 Meter --> 6.1 Meter No Conversion Required
Depth of Actual Filter: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (ln(K_30/25/K_30/20)/ln(D₁/D₂)) --> (ln(3/2)/ln(6.1/5))

Evaluating ... ...

a = 2.03904127277511

STEP 3: Convert Result to Output's Unit

2.03904127277511 --> No Conversion Required

FINAL ANSWER

2.03904127277511 ≈ 2.039041 <-- Empirical Constant

(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)

Empirical Constant given Treatability Constant Formula

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

What is 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 Empirical Constant given Treatability Constant?

Empirical Constant given Treatability Constant calculator uses Empirical Constant = (ln(Treatability Constant at 30/Treatability Constant)/ln(Depth of Reference Filter/Depth of Actual Filter)) to calculate the Empirical Constant, The Empirical Constant given Treatability Constant is defined as the empirical constant when we have prior information of treatability constant and depth of filters. Empirical Constant is denoted by a symbol.

How to calculate Empirical Constant given Treatability Constant using this online calculator? To use this online calculator for Empirical Constant given Treatability Constant, enter Treatability Constant at 30 (K_30/25), Treatability Constant (K_30/20), Depth of Reference Filter (D₁) & Depth of Actual Filter (D₂) and hit the calculate button. Here is how the Empirical Constant given Treatability Constant calculation can be explained with given input values -> -1.844201 = (ln(3/2)/ln(6.1/5)).

FAQ

What is Empirical Constant given Treatability Constant?

The Empirical Constant given Treatability Constant is defined as the empirical constant when we have prior information of treatability constant and depth of filters and is represented as a = (ln(K_30/25/K_30/20)/ln(D₁/D₂)) or Empirical Constant = (ln(Treatability Constant at 30/Treatability Constant)/ln(Depth of Reference Filter/Depth of Actual Filter)). Treatability Constant at 30 and 25 ft filter depth, Treatability Constant at 30°C and 20 ft filter depth, Depth of Reference Filter is the vertical dimension of reference filter & Depth of Actual Filter is the vertical dimension of the actual filter.

How to calculate Empirical Constant given Treatability Constant?

The Empirical Constant given Treatability Constant is defined as the empirical constant when we have prior information of treatability constant and depth of filters is calculated using Empirical Constant = (ln(Treatability Constant at 30/Treatability Constant)/ln(Depth of Reference Filter/Depth of Actual Filter)). To calculate Empirical Constant given Treatability Constant, you need Treatability Constant at 30 (K_30/25), Treatability Constant (K_30/20), Depth of Reference Filter (D₁) & Depth of Actual Filter (D₂). With our tool, you need to enter the respective value for Treatability Constant at 30, Treatability Constant, Depth of Reference Filter & Depth of Actual Filter 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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