Oxygen Transfer Capacity under Standard Conditions when Correction Factor is 0.8 Calculator

Oxygen Transfer Capacity Formula:

\[ N_s = \frac{N}{\left(\frac{(DO_{0.8} - DL) \times 0.8 \times (1.024)^{(T-20)}}{9.17}\right)} \]

Oxygen Transferred (N):

kg/s/W

D.O Saturation (DO_0.8):

kg/m³

Operation Dissolved Oxygen (DL):

kg/m³

Temperature (T):

°C

Oxygen Transfer Capacity (N_s): kg/s/W

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1. What is Oxygen Transfer Capacity under Standard Conditions?

Definition: This calculator determines the oxygen transfer capacity of a system under standard conditions when the correction factor is 0.8.

Purpose: It helps wastewater treatment professionals evaluate the efficiency of aeration systems in transferring oxygen from air to water.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_s = \frac{N}{\left(\frac{(DO_{0.8} - DL) \times 0.8 \times (1.024)^{(T-20)}}{9.17}\right)} \]

Where:

\( N_s \) — Oxygen transfer capacity under standard conditions (kg/s/W)
\( N \) — Oxygen transferred under operating conditions (kg/s/W)
\( DO_{0.8} \) — D.O. saturation when correction factor is 0.8 (kg/m³)
\( DL \) — Operation dissolved oxygen (kg/m³)
\( T \) — Temperature (°C)

Explanation: The formula adjusts the actual oxygen transfer rate to standard conditions (20°C, zero dissolved oxygen, clean water) using temperature correction and the correction factor.

3. Importance of Oxygen Transfer Capacity

Details: Proper calculation ensures efficient aeration system design, energy optimization, and effective wastewater treatment.

4. Using the Calculator

Tips: Enter the oxygen transferred, D.O. saturation (default 3.62784 kg/m³), operation dissolved oxygen (default 0.00201 kg/m³), and temperature in °C. All values must be valid.

5. Frequently Asked Questions (FAQ)

Q1: Why is the correction factor 0.8 used?
A: 0.8 is a typical value representing the ratio of actual D.O. saturation in wastewater to clean water saturation.

Q2: What's a typical D.O. saturation value?
A: For clean water at sea level and 20°C, it's approximately 9.17 mg/L (0.00917 kg/m³).

Q3: How does temperature affect oxygen transfer?
A: Higher temperatures decrease oxygen solubility but increase transfer rates, accounted for by the (1.024)^(T-20) term.

Q4: What are standard conditions?
A: Typically 20°C, zero dissolved oxygen, clean water, and 1 atm pressure.

Q5: Why convert to standard conditions?
A: To allow comparison of aeration system performance independent of operating conditions.