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Deoxygenation Constant given Organic Matter Present at Start of BOD Calculator

Deoxygenation Constant Formula:

\[ K_D = -\frac{1}{t} \times \log_{10}\left(\frac{L_t}{L_s}\right) \]

days
kg/m³
kg/m³

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1. What is Deoxygenation Constant?

Definition: The deoxygenation constant (KD) represents the rate at which oxygen is consumed by microorganisms during the decomposition of organic matter in water.

Purpose: It's a crucial parameter in water quality modeling, particularly in calculating the Biochemical Oxygen Demand (BOD) of wastewater.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K_D = -\frac{1}{t} \times \log_{10}\left(\frac{L_t}{L_s}\right) \]

Where:

Explanation: The formula calculates the rate constant based on the ratio of remaining oxygen demand to initial organic matter over a specific time period.

3. Importance of Deoxygenation Constant

Details: Understanding KD helps in designing wastewater treatment systems, predicting oxygen depletion in water bodies, and assessing environmental impacts of organic pollution.

4. Using the Calculator

Tips: Enter the time period in days, oxygen equivalent (Lt), and initial organic matter (Ls). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical range for KD?
A: For domestic sewage, KD typically ranges from 0.1 to 0.4 per day at 20°C.

Q2: How does temperature affect KD?
A: KD increases with temperature, typically following the Arrhenius relationship with θ ≈ 1.047.

Q3: What's the difference between KD and BOD rate constant?
A: KD is the deoxygenation rate constant, while the BOD rate constant (k) includes both oxidation and nitrification effects.

Q4: How do I measure Lt and Ls?
A: These are typically measured through BOD tests - Ls is the initial BOD and Lt is the BOD remaining after time t.

Q5: What units should I use for consistent results?
A: Use consistent mass units (kg/m³ or mg/L) for both oxygen equivalent and organic matter, with time in days.

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