Maximum Yield Coefficient Given Mass of Wasted Activated Sludge Calculator

Maximum Yield Coefficient Formula:

\[ Y = \frac{M_{ws} + (K_e \times V \times X')}{Q_s \times (Q_i - Q_o)} \]

Mass of Wasted Activated Sludge (Mws):

Endogenous Respiration Rate Constant (Ke):

1/s

Volume of Tank (V):

m³

Mixed Liquor Suspended Solids (X'):

kg/m³

Sewage Discharge (Qs):

m³/s

Influent BOD (Qi):

kg/m³

Effluent BOD (Qo):

kg/m³

Maximum Yield Coefficient (Y):

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1. What is Maximum Yield Coefficient?

Maximum Yield Coefficient represents the maximum mg of cells produced per mg organic matter removed in wastewater treatment processes. It's a crucial parameter in activated sludge system design and operation.

2. How Does the Calculator Work?

The calculator uses the Maximum Yield Coefficient formula:

\[ Y = \frac{M_{ws} + (K_e \times V \times X')}{Q_s \times (Q_i - Q_o)} \]

Where:

\( Y \) — Maximum Yield Coefficient (mg cells/mg organic matter)
\( M_{ws} \) — Mass of Wasted Activated Sludge (kg)
\( K_e \) — Endogenous Respiration Rate Constant (1/s)
\( V \) — Volume of Tank (m³)
\( X' \) — Mixed Liquor Suspended Solids (kg/m³)
\( Q_s \) — Sewage Discharge (m³/s)
\( Q_i \) — Influent BOD (kg/m³)
\( Q_o \) — Effluent BOD (kg/m³)

Explanation: This formula calculates the maximum cell yield by considering sludge mass, respiration rate, tank volume, suspended solids concentration, and BOD removal efficiency.

3. Importance of Maximum Yield Coefficient Calculation

Details: Accurate yield coefficient calculation is essential for optimizing wastewater treatment plant performance, predicting sludge production, and designing efficient biological treatment systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure Influent BOD is greater than Effluent BOD for valid calculation. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for Maximum Yield Coefficient?
A: Typically ranges from 0.4 to 0.8 mg cells/mg organic matter, depending on wastewater characteristics and microbial population.

Q2: How does temperature affect the yield coefficient?
A: Higher temperatures generally increase microbial activity and may affect the yield coefficient, though the relationship is complex and depends on specific conditions.

Q3: What factors influence the Endogenous Respiration Rate Constant?
A: Microbial population composition, temperature, substrate availability, and system operating conditions all influence the endogenous respiration rate.

Q4: Why is Mixed Liquor Suspended Solids important?
A: MLSS represents the concentration of active microorganisms in the system, directly affecting treatment efficiency and sludge production.

Q5: How accurate is this calculation for real-world applications?
A: While the formula provides a good estimate, real-world systems may require adjustments based on specific wastewater characteristics and operational conditions.