Wastewater Temperature using Treatability Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
T = 20+(ln(K30/20/K20/20)*(1/ln(θ)))
This formula uses 1 Functions, 4 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
Wastewater Temperature - (Measured in Kelvin) - The Wastewater Temperature refers to the measure of heat present in wastewater, affecting treatment efficiency and biological activity, typically measured in degrees Celsius (°C).
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 20°C and 20ft Depth - The Treatability Constant at 20°C and 20ft Depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 20°C at 20ft filter depth.
Temperature Activity Coefficient - The Temperature Activity Coefficient refers to a factor that adjusts reaction rates or biological activity in response to temperature changes, commonly used in biochemical processes.
STEP 1: Convert Input(s) to Base Unit
Treatability Constant at 30°C and 20ft Depth: 28.62 --> No Conversion Required
Treatability Constant at 20°C and 20ft Depth: 0.002 --> No Conversion Required
Temperature Activity Coefficient: 1.035 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = 20+(ln(K30/20/K20/20)*(1/ln(θ))) --> 20+(ln(28.62/0.002)*(1/ln(1.035)))
Evaluating ... ...
T = 298.148750956586
STEP 3: Convert Result to Output's Unit
298.148750956586 Kelvin -->24.9987509565856 Celsius (Check conversion ​here)
FINAL ANSWER
24.9987509565856 24.99875 Celsius <-- Wastewater Temperature
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Treatability Constant Calculators

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

Wastewater Temperature using Treatability Constant Formula

​LaTeX ​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)))
T = 20+(ln(K30/20/K20/20)*(1/ln(θ)))

What is Wastewater?

Wastewater (or waste water) is any water that has been contaminated by human use. Wastewater is "used water from any combination of domestic, industrial, commercial or agricultural activities, surface runoff or stormwater, and any sewer inflow or sewer infiltration".

How to Calculate Wastewater Temperature using Treatability Constant?

Wastewater Temperature using Treatability Constant calculator uses 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))) to calculate the Wastewater Temperature, The Wastewater Temperature using Treatability Constant is defined as the measure of heat present in wastewater, affecting treatment efficiency and biological activity, typically measured in degrees Celsius (°C). Wastewater Temperature is denoted by T symbol.

How to calculate Wastewater Temperature using Treatability Constant using this online calculator? To use this online calculator for Wastewater Temperature using Treatability Constant, enter Treatability Constant at 30°C and 20ft Depth (K30/20), Treatability Constant at 20°C and 20ft Depth (K20/20) & Temperature Activity Coefficient (θ) and hit the calculate button. Here is how the Wastewater Temperature using Treatability Constant calculation can be explained with given input values -> -325.501488 = 20+(ln(treatability_constant_at_30_20/0.002)*(1/ln(1.035))).

FAQ

What is Wastewater Temperature using Treatability Constant?
The Wastewater Temperature using Treatability Constant is defined as the measure of heat present in wastewater, affecting treatment efficiency and biological activity, typically measured in degrees Celsius (°C) and is represented as T = 20+(ln(K30/20/K20/20)*(1/ln(θ))) or 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))). 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 20°C and 20ft Depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 20°C at 20ft filter depth & The Temperature Activity Coefficient refers to a factor that adjusts reaction rates or biological activity in response to temperature changes, commonly used in biochemical processes.
How to calculate Wastewater Temperature using Treatability Constant?
The Wastewater Temperature using Treatability Constant is defined as the measure of heat present in wastewater, affecting treatment efficiency and biological activity, typically measured in degrees Celsius (°C) is calculated using 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))). To calculate Wastewater Temperature using Treatability Constant, you need Treatability Constant at 30°C and 20ft Depth (K30/20), Treatability Constant at 20°C and 20ft Depth (K20/20) & Temperature Activity Coefficient (θ). With our tool, you need to enter the respective value for Treatability Constant at 30°C and 20ft Depth, Treatability Constant at 20°C and 20ft Depth & Temperature Activity Coefficient 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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