Log Value Of Critical Oxygen Deficit Calculator

Formula Used:

\[ D_c = 10^{\left(\log_{10}\left(\frac{L_t}{f}\right) - (K_D \times t_c)\right)} \]

Oxygen Equivalent (Lt):

kg/m³

Self-Purification Constant (f):

Deoxygenation Constant (K_D):

1/s

Critical Time (t_c):

Critical Oxygen Deficit (D_c):

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1. What is Critical Oxygen Deficit?

Critical Oxygen Deficit refers to the condition where the deoxygenation rate exceeds the reoxygenation rate in water bodies. It represents the maximum oxygen deficit that occurs during the self-purification process of wastewater.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_c = 10^{\left(\log_{10}\left(\frac{L_t}{f}\right) - (K_D \times t_c)\right)} \]

Where:

\( D_c \) — Critical Oxygen Deficit (kg/m³)
\( L_t \) — Oxygen Equivalent (kg/m³)
\( f \) — Self-Purification Constant
\( K_D \) — Deoxygenation Constant (1/s)
\( t_c \) — Critical Time (s)

Explanation: The formula calculates the maximum oxygen deficit that occurs when the rate of oxygen consumption exceeds the rate of oxygen replenishment in water bodies.

3. Importance of Critical Oxygen Deficit Calculation

Details: Calculating critical oxygen deficit is crucial for assessing the health of aquatic ecosystems, designing wastewater treatment systems, and predicting the impact of organic pollution on water quality.

4. Using the Calculator

Tips: Enter oxygen equivalent in kg/m³, self-purification constant (unitless), deoxygenation constant in 1/s, and critical time in seconds. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of critical oxygen deficit?
A: It helps determine the maximum oxygen depletion in water bodies, which is essential for maintaining aquatic life and assessing pollution levels.

Q2: How is self-purification constant determined?
A: The self-purification constant is the ratio of reoxygenation constant to deoxygenation constant and is typically determined through field measurements.

Q3: What factors affect deoxygenation constant?
A: Temperature, organic load, and microbial activity are the main factors that influence the deoxygenation constant.

Q4: When does critical time occur?
A: Critical time occurs when the dissolved oxygen concentration reaches its minimum value, typically found by differentiating the oxygen sag equation.

Q5: What are typical values for oxygen equivalent?
A: Oxygen equivalent values vary depending on the type and concentration of organic matter, typically ranging from 0.0001 to 0.1 kg/m³ for domestic sewage.