De-oxygenation Constant Formula:
From: | To: |
Definition: This calculator computes the de-oxygenation constant (KD) based on the rate constant in BOD (K).
Purpose: It helps environmental engineers and scientists determine the rate of oxygen depletion in water bodies or sewage treatment systems.
The calculator uses the formula:
Where:
Explanation: The constant 0.434 is the conversion factor from base-10 logarithm to natural logarithm (ln 10 ≈ 2.303, and 1/2.303 ≈ 0.434).
Details: The de-oxygenation constant is crucial for modeling oxygen demand in water bodies, designing wastewater treatment systems, and assessing water quality.
Tips: Enter the rate constant in BOD (K) in 1/sec units. The value must be greater than 0.
Q1: What is the typical range for K values?
A: For domestic sewage at 20°C, K typically ranges from 0.1 to 0.23 day-1 (1.16×10-6 to 2.66×10-6 sec-1).
Q2: How does temperature affect the de-oxygenation constant?
A: The constant increases with temperature, typically following the Arrhenius relationship with θ ≈ 1.047.
Q3: What's the difference between K and KD?
A: K is the BOD rate constant (base e), while KD is the de-oxygenation constant (base 10).
Q4: Can this be used for natural water bodies?
A: Yes, but natural systems may have additional oxygen demand factors to consider.
Q5: How precise should the input values be?
A: For most applications, 6 decimal places (as shown in the calculator) provides sufficient precision.