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Deoxygenation Constant given Total Amount of Organic Matter Oxidised Calculator

Deoxygenation Constant Formula:

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

days
mg/L
mg/L

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1. What is Deoxygenation Constant?

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

Purpose: It's a crucial parameter in water quality modeling, particularly in calculating biochemical oxygen demand (BOD) in wastewater treatment.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the rate constant based on the proportion of organic matter that has been oxidized over a given time period.

3. Importance of Deoxygenation Constant

Details: Accurate determination of KD helps in designing wastewater treatment systems, predicting oxygen depletion in water bodies, and assessing water quality.

4. Using the Calculator

Tips: Enter the time period in days, amount of organic matter oxidised (must be less than starting amount), and initial organic matter concentration. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values 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 a θ value of about 1.047.

Q3: What if my oxidised matter equals starting matter?
A: The calculation becomes undefined as you'd be taking log10(0). This suggests complete oxidation has occurred.

Q4: Can this be used for natural water bodies?
A: Yes, but values may differ from wastewater as natural systems have different organic matter composition.

Q5: How precise should my measurements be?
A: For reliable results, measurements should be precise to at least 3 significant figures.

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