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°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)^(1/Empirical Constant)
D1 = D2*(K30/25/K30/20)^(1/a)
This formula uses 5 Variables
Variables Used
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.
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).
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.
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.
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 Actual Filter: 7.6 Meter --> 7.6 Meter No Conversion Required
Treatability Constant at 30°C and 25ft Depth: 26.8 --> No Conversion Required
Treatability Constant at 30°C and 20ft Depth: 28.62 --> No Conversion Required
Empirical Constant: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D1 = D2*(K30/25/K30/20)^(1/a) --> 7.6*(26.8/28.62)^(1/0.3)
Evaluating ... ...
D1 = 6.1051659627612
STEP 3: Convert Result to Output's Unit
6.1051659627612 Meter --> No Conversion Required
FINAL ANSWER
6.1051659627612 6.105166 Meter <-- Depth of Reference Filter
(Calculation completed in 00.006 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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9 Treatability Constant Calculators

Empirical Constant given Treatability Constant
​ Go Empirical Constant = (ln(Treatability Constant at 30°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)/ln(Depth of Reference Filter/Depth of Actual Filter))
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)))
Depth of Reference Filter using Treatability Constant
​ Go Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)^(1/Empirical Constant)
Depth of Actual Filter using Treatability Constant
​ Go 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)
Treatability Constant at 30 degree Celsius and 25 ft Filter Depth
​ Go Treatability Constant at 30°C and 25ft Depth = Treatability Constant at 30°C and 20ft Depth*(Depth of Reference Filter/Depth of Actual Filter)^(Empirical Constant)
Treatability Constant at 30 degree Celsius and 20 ft Filter Depth
​ Go Treatability Constant at 30°C and 20ft Depth = Treatability Constant at 30°C and 25ft Depth*(Depth of Actual Filter/Depth of Reference Filter)^(Empirical Constant)
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 Reference Filter using Treatability Constant Formula

Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)^(1/Empirical Constant)
D1 = D2*(K30/25/K30/20)^(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°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)^(1/Empirical Constant) to calculate the Depth of Reference Filter, The Depth of Reference Filter using Treatability Constant is defined as the standard vertical distance used for comparison in filtration systems, typically measured in meters (m), to assess relative performance. 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°C and 25ft Depth (K30/25), Treatability Constant at 30°C and 20ft Depth (K30/20) & 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 -> 6.744225 = 7.6*(26.8/28.62)^(1/0.3).

FAQ

What is Depth of Reference Filter using Treatability Constant?
The Depth of Reference Filter using Treatability Constant is defined as the standard vertical distance used for comparison in filtration systems, typically measured in meters (m), to assess relative performance and is represented as D1 = D2*(K30/25/K30/20)^(1/a) or Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)^(1/Empirical Constant). 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), 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 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 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 Reference Filter using Treatability Constant?
The Depth of Reference Filter using Treatability Constant is defined as the standard vertical distance used for comparison in filtration systems, typically measured in meters (m), to assess relative performance is calculated using Depth of Reference Filter = Depth of Actual Filter*(Treatability Constant at 30°C and 25ft Depth/Treatability Constant at 30°C and 20ft Depth)^(1/Empirical Constant). To calculate Depth of Reference Filter using Treatability Constant, you need Depth of Actual Filter (D2), Treatability Constant at 30°C and 25ft Depth (K30/25), Treatability Constant at 30°C and 20ft Depth (K30/20) & Empirical Constant (a). With our tool, you need to enter the respective value for Depth of Actual Filter, Treatability Constant at 30°C and 25ft Depth, Treatability Constant at 30°C and 20ft 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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